if $\frac ab$ rounded to the nearest trillionth is $0.008012018027$, where $a$ and $b$ are positive integers, what is the smallest possible value of $a b$?

Answers

Answer 1

If a/b rounded to the nearest trillionth is 0.008012018027, where a and b are positive integers, the smallest value of the a+b is 2013.

A mathematician would tell you that there cannot be such a number since it would violate the principles of mathematics. There cannot be a number n/2 since n is already the smallest if you have a number n, where n is the smallest integer after 0. Mathematicians dislike this since it implies that division itself fails.

A computer will truly respond to your question. Computers don't have an endless number of numbers, unlike the physical world, because they couldn't all fit. Each memory register in a computer has a set number of bits that are used to store numbers. Imagine having just three digits. 999 is the largest number you may possibly portray.

The continued fraction representations of the limits of the interval are

0.0080120180265 = [0; 124, 1, 4, 2, 1, 463872, 1, 1, 12, 1, 1, 41]

0.0080120180275 = [0; 124, 1, 4, 3, 545777, 2, 13, 1, 1, 1, 1, 2]

The simplest continued fraction (and therefore also the simplest ordinary fraction!) in that interval

is

[0; 124, 1, 4, 3] 16 1997 = = 0.00801201802704056084...

and the sum of its numerator and denominator is 2013.

Learn more about Smallest possible value:

https://brainly.com/question/28130934

#SPJ4

Complete question:

If a/b rounded to the nearest trillionth is 0.008012018027, where a and b are positive integers, what is the smallest possible value of a+b ?


Related Questions

The net of a right rectangular prism is shown.
2.6
3.9
3.9
5.2
3.9
5.2
2.6
What is the surface area of the right rectangular prism? Enter the answer as a decimal in the box.
unit²

Answers

The surface area of the right rectangular prism is 87.88 square units.

The surface area of ​​a rectangle is the total area or area of ​​six faces. A prism is a solid with straight parallelogram sides and a base of the same polygon. There are many types of prisms such as triangular prism, square prism, cartesian prism, penta prism, and hexagonal prism.

Given that:

from the set of information :

Length(l) = 5.2

Breadth (b) = 2.6

Height(h) = 3.9

Area of the rectangular prism = 2(lb + bh + lh)

                                                 = 2(5.2×2.6 + 2.6×3.9 + 3.9×5.2)

                                                 = 2(43.94)

                                                 = 87.88

Therefore, the surface area of the right rectangular prism is 87.88 square units.

Complete Question:

The net of a right rectangular prism is shown 2.6 3.9 5.2

What is the surface area of the right rectangular prism? Enter the answer as a decimal in the box unit².

Learn more about the Surface area:

https://brainly.com/question/29298005

#SPJ1

What is the measure of angle L? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. ​m∠L=​ °. LMN is a right triangle. M is a right angle. LM is equal to 18 inches, and LN is the hypotenuse and is equal to 60 inches.

Answers

The measure of angle L is approximately 48.59 degrees.

What is Pythagoras' Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use trigonometry to solve for angle L. Using the Pythagorean theorem, we can find that the length of side MN is:

MN = sqrt(LN² - LM²) = √(60² - 18²) = √(3444) ≈ 58.66 inches

Now, using the definition of sine, we have:

sin(L) = MN / LN = 58.66 / 60

Taking the inverse sine (sin⁻¹) of both sides, we get:

L = sin⁻¹(58.66/60) ≈ 48.59 degrees

Therefore, the measure of angle L is approximately 48.59 degrees.

To know more about Pythagoras' theorem visit:

https://brainly.com/question/343682

#SPJ1

11. Matt brings twelve basketballs to the park for practice. The diameter of the basketball is 9.5
inches. How much cubic inches of air will you need to fill all the basketballs?
(Round to the nearest hundredth.)

Answers

Answer: 5387.05 [tex]in^3[/tex]

Step-by-step explanation:

9.5 / 2 = 4.75 (Radius of 1 Basketball)

V = [tex]\frac{4}{3} \pi r^3[/tex]

V = (4 x π x 4.75^3) / 3

V = 1346.761 / 3

V = 448.92

Thus we need 448.92 [tex]in^3[/tex] to fill 1 basketball

12 Basketballs = 449.92 * 12

12 Basketballs = 5387.046 ≈ 5387.05

g if a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.

Answers

The diameter decrease rate is approximately 0.041 cm/min when the diameter is 11 cm.

 

The surface of a sphere of diameter d is given by

[tex]A = 4πr^2 = πd^2[/tex]

where r is the radius of the sphere.

the rate of decrease in diameter (d) when the diameter is 11 cm.

We can start by deriving the formula for the surface area over time.

[tex]dA/dt = d/dt(πd^2)[/tex]

With chain rules it looks like this:

dA/dt = 2πd (dd/dt)

where dd/dt is the rate at which the diameter decreases.

Knowing that dA/dt is given as [tex]-9 cm^2/min[/tex] (unfavorable due to reduced surface area), look for dd/dt at d = 11 cm.

Substituting these values ​​into the above formula yields:

-9 = 2π(11) (dd/dt)

Simplified, it looks like this:

dd/dt = -9/(22π)

dd/dt ≈ -0.041 cm/min (rounded to three decimal places)

So for a diameter of 11 cm, the diameter decrease rate is approximately 0.041 cm/min. 

learn more about the surface area of a sphere

brainly.com/question/14692728

#SPJ4

GEOMETRY HELP!!!! WILL GIVE BRAINLIEST!!!

Answers

Geometry is the branch of mathematics that deals with shapes, sizes, positions, and properties of space. It involves concepts such as points, lines, angles, and shapes such as triangles, circles, and polygons.

To excel in geometry, it is important to have a good grasp of the basic concepts and formulas. You should understand the properties of different shapes and know how to calculate their areas and volumes.

One important formula in geometry is the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Another important concept is trigonometry, which deals with the relationships between the sides and angles of triangles.

Overall, geometry is a fascinating subject that is essential for a wide range of applications, from architecture and engineering to computer graphics and art. If you need more specific help or have any questions, feel free to ask!

To Learn More About Geometry

https://brainly.com/question/19241268

SPJ11

the basketball team sold t-shirts and hats as a fund-raiser. they sold a total of 23 23 items and made a profit of $ 246 $246. they made a profit of $ 10 $10 for every t-shirt they sold and $ 12 $12 for every hat they sold. determine the number of t-shirts and the number of hats the basketball team sold.

Answers

If basketball team sold total of 23, t-shirts and hats as a fund-raiser, then the number of hats sold is 8 and number of T-Shirts sold is 15.

Let us denote the number of t-shirts sold = "x',  and

let the number of hats sold be = "y".

So, a system of two equations to represent the information is written as:

The total-items sold at fund-raiser is = 23,

So,

⇒ x + y = 23      ...equation(1),

The total profit is = $246,

So,

⇒   10x + 12y = 246       ...equation(2)

Solving equation(1) for x,

We get,

⇒ x = 23 - y

Substituting value of "x" into equation 2,

We get,

⇒ 10 × (23 - y) + 12y = 246,

⇒ 230 - 10y + 12y = 246

⇒ 2y = 16

⇒ y = 8

So, the basketball team sold 8 hats.

Substituting this value into equation(1);

We get,

⇒ x + 8 = 23

⇒ x = 15

Therefore, the basketball team sold 15 t-shirts and 8 hats.

Learn more about Profit here

https://brainly.com/question/17047529

#SPJ4

The given question is incomplete, the complete question is

The basketball team sold t-shirts and hats as a fund-raiser. they sold a total of 23 items and made a profit of $246. they made a profit of $10 for every t-shirt they sold and $12 for every hat they sold.
Determine the number of t-shirts and the number of hats the basketball team sold.

Amy is ordering a triangular shaped window for the house that she is building.


The area of the window is 24 ft2, and the base of the window measures 6 ft. What is the height of the window?

Answers

The height of the triangular window is 8 feet.

To find the height of Amy's triangular window, we need to use the formula for the area of a triangle:

Area = (1/2) × base × height.
From the student question, we know the area of the window is 24 ft², and the base of the window measures 6 ft.

We can plug these values into the formula:
24 = (1/2) × 6 × height
Now, let's solve for the height:
First, simplify the equation: 24 = 3 × height
Next, divide both sides by 3: height = 24 / 3
Finally, calculate the height: height = 8 ft.

For similar question on triangular.

https://brainly.com/question/1284982

#SPJ11

What is a staticistcal question musa can ask about the club

Answers

A statistical question will pose a problem with a potential range of solutions. 'How many hours does an average member of the club at Musa's school spend participating in club events each month?' is a statistical question that Musa might use to help him gather data about the club.

What exactly is a statistical question?

Only once varied data have been gathered can a statistical question be addressed. A statistical question is one that may be answered by gathering information, and there will always be variation in the information. Since there is no variability in the data used to answer the question, questions that can be answered by a single data point are not statistical questions. After data has been gathered and examined, the solution can give an interpretation of the data. Although there will be statistics for a non-statistical question, the outcomes won't change. There will be only one solution.

The following qualities should be included in a statistical question:

Indefiniteness

Indeterminism

Answers that are plural

Variability.

To learn more about statistical question, visit:

https://brainly.com/question/11253919

#SPJ1

(HEY I HAVE KNOW IDEA IF YOU COULD HELP THAT WOULD BE GREAT HIGH POINTS!!!!!)

Answers

11. The relation is given by the set of ordered pairs: {(0.5, 2), (3, 2), (1, 3), (5, -5)}. To graph this relation, plot each point on a coordinate plane and connect them with a smooth curve.

12. The relation is given by the set of ordered pairs: {(-1, -4), (0, -1), (1, 2), (2, 5)}. To graph this relation, plot each point on a coordinate plane and connect them with a smooth curve.

13. The relation graphed below is a straight line with slope -2 and y-intercept 0.

14. This is a linear function with slope -2.

15.

x y

-5 -8

3 0

7 4

16.

x y

-10 16

-5 11

0 6

2 2

17.

x y

-3 9

-1 7

3 3

18.

x y

-3 1

0 -5

3 -11

What is function?

In mathematics, a function is a relationship between two variables in which one variable (the independent variable) determines the value of the other variable (the dependent variable). It assigns a unique output value to each input value. Functions are commonly denoted as f(x), where x is the independent variable and f(x) is the dependent variable.

Here,

The relation ((0.5), (3-1), (1,3), (5,-5)) has three pairs of values: (0.5, 3-1), (1, 3), and (5, -5).

To plot this relation, you can plot each point on a coordinate plane. The first value in each pair represents the x-coordinate, and the second value represents the y-coordinate.

The relation ((-1,-4), (0, -1), (1, 2), (2, 5)) has four pairs of values: (-1, -4), (0, -1), (1, 2), and (2, 5).

To plot this relation, you can plot each point on a coordinate plane. The first value in each pair represents the x-coordinate, and the second value represents the y-coordinate.

The equation y = -2x represents a linear function with a slope of -2 and a y-intercept of 0.

To graph this function, you can plot any two points that satisfy the equation and draw a line passing through those points. For example, you can use the points (0, 0) and (1, -2).

To complete the function table for y = x - 3, you can substitute each value of x in the equation and solve for y.

For example, when x = -5, y = -5 - 3 = -8. Repeat the process for the other values of x.

To complete the function table for y = 4x + 4, you can substitute each value of x in the equation and solve for y.

For example, when x = -2, y = 4(-2) + 4 = -4. Repeat the process for the other values of x.

To complete the function table for y = -x + 6, you can substitute each value of x in the equation and solve for y.

For example, when x = -10, y = -(-10) + 6 = 16. Repeat the process for the other values of x.

To complete the function table for y = -2x - 5, you can substitute each value of x in the equation and solve for y.

For example, when x = -3, y = -2(-3) - 5 = 1. Repeat the process for the other values of x.

To know more about function,

https://brainly.com/question/28193995

#SPJ1

PLS HELP ASAP WILL GIVE BRAINLIEST!!!
Ms. Smith just purchased 15 math text books for $570. Each book cost the same amount . Which equation represents the proportional relationship between, C, the total cost of the books and N, the number of books?


A: C=38n

B: 570/15 = n/c

C: 570n

D: 570/n = 15/c

Answers

Answer:

I believe it is is A

Step-by-step explanation:

the grade point averages (gpas) of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. (a) what fraction of the students will possess a gpa in excess of 3.0? .2266 (b) suppose that three students are randomly selected from the student body. what is the probability that all three will possess a gpa in excess of 3.0? .205

Answers

The normally distributed with mean 2.4 and standard deviation 0.8:

a) fraction of the students will possess a GPS is 0.4648.

b) probability that all three will possess a gpa in excess of 3.0 is 0.2266.

c) percentage of the students will be dropped is 19.08%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

we have, μ = 2.4, σ = 0.8

(a) z1 = (x1 - μ)/σ = (2 - 2.4)/0.8 = -0.5

z2 = (x2 - μ)/σ = (3 - 2.4)/0.8 = 0.75

P(2 < x < 3) = P(-0.5 < z < 0.75) = 0.4648

(b) P(x > 3) = P(z > 0.75) = 0.2266

(c) z = (1.7 - 2.4)/0.8 = -0.875

P(x < 1.7) = P(z < -0.875) = 0.1908, which is 19.08%.

Learn more about Probability:

https://brainly.com/question/15106212

#SPJ4

Complete question:

The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.4 and standard deviation 0.8. What fraction of the students will have GPAs between 2.0 and 3.0? What fraction of students will possess a GPA in excess of 3.0? If students possessing a GPA less than 1.7 are dropped from college, what percentage of the students will be dropped?

You deposit $10,000 in an account that pays 6.92% annual interest. Find the balance
after 5 years if the interest is compounded with the given frequency.
a. Monthly
b. Daily
c. Quarterly
d. Weekly

Answers

after 5 years with different compounding frequencies: a. Monthly: $13,952.19 b. Daily: $14,059.89 c. Quarterly: $13,784.98 d. Weekly: $14,001.84

How to solve the question ?

To calculate the balance after 5 years with compound interest, we can use the formula:

A = P (1 + r/n) in power nt

where A is the balance after t years, P is the principal balance, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

For this problem, P = $10,000 and r = 6.92%. To find the balance after 5 years with different compounding frequencies, we can use the following values for n:

a. Monthly: n = 12 A = $10,000 (1 + 0.0692/12)¹²*⁵ = $13,952.19

b. Daily: n = 365 A = $10,000 (1 + 0.0692/365)³⁶⁵*⁵ = $14,059.89

c. Quarterly: n = 4 A = $10,000 (1 + 0.0692/4)⁴*⁵= $13,784.98

d. Weekly: n = 52 A = $10,000 (1 + 0.0692/52)⁵²*⁵ = $14,001.84

Therefore, after 5 years with different compounding frequencies: a. Monthly: $13,952.19 b. Daily: $14,059.89 c. Quarterly: $13,784.98 d. Weekly: $14,001.84

To know more about compound interest visit :-

https://brainly.com/question/28020457

#SPJ1

Kim receives 4 stickers more than Jim. If Kim receives 20 stickers, What is the ratio of Kim’s stickers to Kim’s stickers? How many stickers must Kim receive if Jim gets 60 stickers?

Answers

Kim must receive 75 stickers if Jim gets 60 stickers.

1. Since Kim receives 4 stickers more than Jim, and Kim receives 20 stickers,

we can determine the number of stickers Jim receives:
Jim's stickers = Kim's stickers - 4
Jim's stickers = 20 - 4
Jim's stickers = 16
2. The ratio of Kim's stickers to Jim's stickers is:
Kim's stickers : Jim's stickers
20 : 16
3. To simplify the ratio, divide both numbers by their greatest common divisor (4):
(20/4) : (16/4)
5 : 4
So, the ratio of Kim's stickers to Jim's stickers is 5:4.
4. If Jim receives 60 stickers, we can determine how many stickers Kim must receive using the ratio 5:4:
4 units = 60 stickers (Jim's)
1 unit = 60 stickers / 4
1 unit = 15 stickers
Since Kim has 5 units in the ratio:
Kim's stickers = 5 units * 15 stickers/unit
Kim's stickers = 75 stickers.

For similar question on divisor.

https://brainly.com/question/15006721

#SPJ11

T=(7,−11)

Explanation:

let the midpoint be

M(4,−3)

since M is the midpoint then

SM=MT

⇒m − s = t − m

⇒t = 2m - s

⇒t = 2(4/−3)−(1/5)

⇒t = (8 /− 6)−(1/5

=(7−11)

⇒coordinates of T =(7,−11)

HOPE IT HELPS

PLEASE MARK AS BRAINLIEST

Answers

The coordinate of point S given the midpoint is 1, 5)

Calculating the coordinate of point S

To find the coordinates of S, we first need to use the midpoint formula to find the coordinates of M.

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

We are given that the midpoint of ST is M = (4, -3), and we know the coordinates of T are T = (7, -11).

Using the midpoint formula, we can write:

M = ((x1 + 7)/2, (y1 - 11)/2)

Solving for x1 and y1, we get:

x1 + 7 = 2 * 4 = 8

y1 - 11 = 2 * (-3) = -6

x1 = 8 - 7 = 1

y1 = -6 + 11 = 5

Therefore, the coordinates of S are S = (1, 5).

Read more about midpoint at

https://brainly.com/question/25886396

#SPJ1

motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. assume a production process produces items with a mean weight of 11 ounces. a. the process standard deviation is , and the process control is set at plus or minus standard deviations. units with weights less than or greater than ounces will be classified as defects. what is the probability of a defect (to 4 decimals)? 0.3173 in a production run of parts, how many defects would be found (to the nearest whole number)? 16 b. through process design improvements, the process standard deviation can be reduced to . assume the process control remains the same, with weights less than or greater than ounces being classified as defects. what is the probability of a defect (to 4 decimals)? in a production run of parts, how many defects would be found (to the nearest whole number)? c. what is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard deviations from the mean?

Answers

(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

Learn more about Probability:

brainly.com/question/28961991

#SPJ4

For each of the parabolas, identify the following properties:

Be sure to lable the:

Vertex
Max/min value
Axis of symmetry
Zero(s)
Direction of opening
Y-intercept

Answers

Parabola 1 :

Vertex: (-1,2)

Min: -2

AOS: x=-1

DoO: downwards

y-Int.: -4


parabola 2:

Vertex; (0,0)

Min: 0

AOS: x=0

DoO:upwards

Parabola 3:

Vertex: (2,1)

Min: 1

AOS: x=2

DoO.:upwards


i left some stuff out because I do not know it k think it’s pretty correct

Anderson bought 3 posters for his bedroom.

Answers

Answer:

Anderson bought 3 posters for his bedroom? What's the actual question.

Which ones is it we’ll transformation?

Answers

Answer: The transformation is a reflection.

Step-by-step explanation:

) how many ways can the letters of the word mailbox be arranged in a row? since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. so the answer is . (b) how many ways can the letters of the word mailbox be arranged in a row if m and a must remain together (in order) as a unit? (c) how many ways can the letters of the word mailbox be arranged in a row if the letters ilb must remain together (in order) as a unit?

Answers

Solving the question with the laws of combinatorics, specifically permutation problems.(a) 5,040 (b) 1,440. (c) 4,320.

(a) The word "mailbox" has 7 distinct letters. Therefore, the number of ways the letters can be arranged in a row is 7! = 5,040.

(b) If m and a must remain together (in order) as a unit, we can think of them as a single letter "ma". Now we have 6 letters to arrange in a row, which can be done in 6! ways. However, within the "ma" unit, the letters can be arranged in 2! ways. Therefore, the total number of arrangements is 6! × 2! = 1,440.

(c) If the letters ilb must remain together (in order) as a unit, we can think of them as a single letter "ilb". Now we have 5 letters to arrange in a row, which can be done in 5! ways. However, within the "ilb" unit, the letters can be arranged in 3! ways. Therefore, the total number of probable arrangements is 5! × 3! = 720 × 6 = 4,320.

Learn more about permutation at

brainly.com/question/30649574

#SPJ4

DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!!!
Here is a wheel with radius 1 foot. List three different counterclockwise angles the wheel can rotate so that point P ends up at position Q.

Answers

The three different counterclockwise angles the wheel of radian 1 can rotate-

5π/6 ,     7π/6   ,     11π/6

What is a radian?

Angles are measured in terms of radians. It is described as the angle subtended from a circle's center that intercepts an arc with a length equal to the circle's radius1. A radian is equivalent to roughly 57.3 degrees

Here is a wheel with a one-foot radius. There are 12 equal pie-shaped segments cut out of the circular. On the y-axis, below the origin, Point Q is located outside the circle.

The following angles, measured in radians, can be used to determine three different anticlockwise rotational angles that the wheel can take to get from point P to position Q:

- 5π/6

- 7π/6

- 11π/6

For any one of these angles, the wheel rolls a distance of /6 feet

To know more about radian visit:

brainly.com/question/7721249

#SPJ1

14
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the f
If p-1 is a factor of p*+p²+p-k, the value of kis
Reset
Next

Answers

To test if p - 1 is a factor of p^2 + p + p - k, we can use synthetic division.

Place the coefficients of p^2 + p + p - k in the top row of the division table, and write (p - 1) to the left, outside of the table:

       | 1   1   1   -k

    1  |__________

       |  

       

Bring down the first coefficient of 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       

Multiply the 1 by (p - 1) to get p - 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             

Add the entries diagonally (1 and 1) to get 2 and write the result under the next coefficient of 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       

Multiply the 2 by (p - 1) to get 2p - 2:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

             

Add the entries diagonally (2 and 1) to get 3 and write the result under the next coefficient of 1:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

       ________

            3  

             

Multiply the 3 by (p - 1) to get 3p - 3:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

       ________

            3  

       -3p+3    

             

Add the entries diagonally (3 and 1) to get 4 and write the result under the next coefficient of -k:

       | 1   1   1   -k

    1  |__________

       |      1  

       |__________

             2  

       -2p+2      

       ________

            3  

       -3p+3    

       ________

                 4

           

The remainder is 4, which means that p - 1 is a factor of p^2 + p + p - k if k = 4.

Therefore, the value of k is 4.

Explain this question help me?

Answers

Answer:

D. y = 1.5[tex](4)^{x}[/tex]

Step-by-step explanation:

There are a lot of ways to solve this, but here we will just use the simplest way is to put the number in for x and y to see if it is true or not, and that will be the correct answer.

Let's use the point (4, 384)

A. y = 4[tex](2)^{x}[/tex]

  384 = 4[tex](2)^{4}[/tex]

  384 = 64

This is not true, so A is wrong.

B. y = 3[tex](2)^{x}[/tex]

  384 = 3[tex](2)^{4}[/tex]

  384 = 48

This is not true, so B is wrong.

C. y = 4[tex](1.5)^{x}[/tex]

  384 = 4[tex](1.5)^{4}[/tex]

  384 = 20.25

This is not true, so C is wrong.

D. y = 1.5[tex](4)^{x}[/tex]

  384 = 1.5[tex](4)^{4}[/tex]

  384 = 384

This is true, so D is the answer.

a boat is tied with a rope to a dock that is 12 feet tall. along the water, the boat is 16 feet from the dock. how long is the rope connecting the boa

Answers

Answer:

Step-by-step explanation:

dock is 12 ft tall

boat is 16 ft from dock

how long is the rope?

The dimensions form a right tringle.

Use Pythagorean,

a² + b² = c²

12²  +  16² = c²

144 +  256 = c²

400 = c²

√400 = √c²

20 = c

The rope is 20 ft long.

The length of the rope connecting the boat to the dock is approximately 20 feet. This can be answered by the concept of Pythagorean theorem.

To calculate the length of the rope, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the rope is the hypotenuse, and the distance between the boat and the dock (16 feet) and the height of the dock (12 feet) are the other two sides. So we have:

Rope length² = 16² + 12²

Rope length² = 256 + 144

Rope length² = 400

Rope length = √400 = 20 feet

Therefore, the length of the rope connecting the boat to the dock is approximately 20 feet

To learn more about Pythagorean theorem. here:

brainly.com/question/14930619#

#SPJ11

Add the rational expressions and type your answers in simplest form. 4/x+10/y

Answers

Therefore , the solution of the given problem of expressions comes out to be 4/x + 10/y can be expressed as 2(2y + 5x)/xy.

What is an expression?

It is preferable to make use of shifting integer values that can be increasing, reducing, or blocking rather than approximations generated at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. A declaration of truth equation may include the justifications, components, and mathematical.

Here,

We need to determine a common denominator for the two fractions in order to combine the rational expressions 4/x + 10/y. Here, xy is the common factor.

As a result, 4/x can be rewritten as (4y)/xy and 10/y as (10x)/xy.

We can now combine the two fractions:

=> (10x)/xy + (4y)/xy

=> (4y + 10x)/xy

=> 2(2y + 5x)/xy

As a result, 4/x + 10/y can be expressed as 2(2y + 5x)/xy.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

In cyclic quadrilateral PQRS,
[tex]\frac{\ \textless \ P}{3} =\frac{\ \textless \ Q}{4}=\frac{\ \textless \ R}{5}[/tex]

Find the largest angle in quadrilateral PQRS, in degrees. ("<" =angle and the answer isn't 120)

Answers

So, the largest angle in quadrilateral PQRS is < 120 degrees.

A cyclic quadrilateral is what?

A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.

Considering that,<P=3x , <Q=4x and <R=5x

∠P + ∠R = 180º            ∠Q + ∠S = 180º

Then we can write

3x+4x+5x+<S=360

12x+<S=360

<S=360-12x

We are aware that in a cyclic quadrilateral, the largest angle lies opposite the smallest angle.

Hence, in order to determine the largest angle, we must first determine the smallest angle.

P being the smallest angle leads us to believe that it is equal to x.

Therefore:

x+4x+5x+<s=360

10x+<s=360

<S=360-10x

therefore, Largest angle

- 10x < 360 - (10 * 24) = 120

So, the largest angle in quadrilateral PQRS is less than 120 degrees.

To know more about cyclic quadrilateral visit:

brainly.com/question/15850377

#SPJ1

How answer this question

Answers

Answer:

[tex]54 \: {ft}^{2} [/tex]

Step-by-step explanation:

The surface area is the sum of the lateral and base areas

Since the given figure is a cube (all sides and walls of a cube are equal), instead of finding its surface area the harder way, we can find the area of one side and multiply it by the number of sides a cube has (which is 6):

[tex]a(surface) = 3 \times 3 \times 6 = 54 \: {ft}^{2} [/tex]

Answer: 54 ft²

Step-by-step explanation: The side of a cube is given to be 3ft

We know the formula of the surface area of a cube is: 6A²

putting the value of side in the formula gives

6x(3)²=54 ft²

which statement is not correct about the null hypothesis? group of answer choices it is the actual hypothesis being tested. failing to reject the null hypothesis will lead to some changes in opinions or action. it can never be accepted based on a single statistical test. in marketing research, the null hypothesis is formulated in such a way that rejection leads to the acceptance of the desired conclusion.

Answers

The statement that is not correct is in marketing research, the null hypothesis is formulated in such a way that rejection leads to the acceptance of the desired conclusion.

The null hypothesis (often denoted H0)[1] is the claim that no relationship exists between two sets of data or variables

being analyzed. The null hypothesis is that any experimentally observed difference is due to chance alone, and an

underlying causative relationship does not exist, hence the term "null". In addition to the null hypothesis, an alternative

hypothesis is also developed, which claims that a relationship does exist between two variables.

The null hypothesis is the actual hypothesis being tested and it can never be accepted based on a single statistical

test. Failing to reject the null hypothesis will not lead to any changes in opinions or action.

The statement that is not correct is in marketing research, the null hypothesis is formulated in such a way that rejection

leads to the acceptance of the desired conclusion.

for such more question on marketing research

https://brainly.com/question/24906199

#SPJ11

Select the correct answer. Solve the following quadratic equation. (x + 4)² = 25 A. B. C. D. x = 9 and x = − 1 9 and r -9 and r I= 9 and x = 1 x= 3665 -1 2 ​

Answers

Hence, After solving this quadratic equation  D is the right response x = -9 or x = 1,

How to solve quadratic equation?

Three fundamental approaches can be used to resolve quadratic equations:

Factoring, first

2. Applying the quadratic equation

3. Finish the square.

To factor an equation with a quadratic term:

1. Place the equal sign with zero on the other side and all terms on one side.

2. Aspect.

3. Define each factor as zero.

4. Handle the equations in order.

5. Verify by entering your solution into the initial equation.

In order to use the quadratic formula to solve a quadratic equation:

1. Type the quadratic formula into your calculator: x = (-b (b2 - 4ac)) / (2a).

2. Determine the quadratic equation's values for the variables a, b, and c.

3. Enter these numbers as replacements in the quadratic formula, then simplify.

(x + 4)² = 25 is the quadratic version of the given equation.

By taking the square root of each side of the equation and then figuring out x,

we can solve this equation.

(x + 4)² = 25

Square roots of both sides result in x + 4 = 5 and x = -4 5.

Because of this, x = -9 or x = 1.

To know more about quadratic equation visit:

brainly.com/question/30098550

#SPJ1

Answer:

x=-9 and x=1

Step-by-step explanation:

It was correct for me

Find the sum.

(3g^2-g) + (3g^2-8g+4)

Answers

The sum of the given algebraic expression is =6g²-9g +4

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

The given expression is

=3g²-g+(3g²-8g+4)

=3g²-g + 3g² -8g +4

=6g²-9g +4

The sum of the given algebraic expression is =6g²-9g +4

learn more about algebraic expression

https://brainly.com/question/11654422

#SPJ1

2x + 8y = 6
5x + 20y = 15

Answers

Answer: 0=0

Step-by-step explanation:

Other Questions
Which statement describes Congresss power of oversight?Congress decides which cases are taken up by the Supreme Court.Congress supervises the daily workings of the executive and judicial branches.Congress has the power to remove anyone from office who is doing a poor job. Congress can check other branches of government through impeachment and appointment. What does the term de-stalinization mean?a. removing stalins name b. changing stalins policies c. supporting stalins opinions d. opposing stalins party according to the theory of comparative advantage, a country will export a good only if group of answer choices it can produce it using less labor than other countries its productivity is higher in producing the good than the productivity of other countries in producing it. its wage rate in producing the good is lower than in other countries. its cost of producing the good, relative to other goods, is at least as low as in other countries. all of the above. hannah and ashni have started a fruit stand business in a rented store front. for this year, they bought fruits for $400,000, they ran ads in the local paper for $5,000. during the same period, they sold $600,000 of fruits and paid $100,000 in payroll for the two of them? what is their operating income? select the correct answer from each drop-down menu. a bag contains five tiles numbered 1 through 5. savannah randomly selects a tile from the bag, replaces the tile, and then draws a second tile. when savannah selects her tiles, selecting the first tile and selecting the second tile are (options on drop down. independent or dependent) events. the probability that the numbers on both tiles are even is (choices on drop down. 20, 40, 10, 16)%. Read this sentence:I spoke to organic chemist Derek Lowe about this scenario.Which words are a part of the noun phrase describing "Derek Lowe?"Select 2 correct answer(s)Question 1 options:chemistaboutthis organic you have been asked to perform a stock valuation prior to the annual shareholders' meeting next week. the two models you have selected to value the firm are the dividend discount model and the discounted cash flow model. explain why the estimates from the two valuation methods differ. address the assumptions implicit in the models themselves as well as those you made during the valuation process. Note: Figure is not drawn to scale. If U = 4 inches, V = 4 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object? A. 56 square inches B. 52 square inches C. 48 square inches D. 64 square inches A swimmer dives into a lake and swims to the surface in a parabolic path. path of the swimmer can be modeled by the equationh (t) = t - 4t-where h is the height infeet, and t is the time in seconds.Complete the statement.The diver will reach the surface of the waterafter seconds. the diameter of each tire on a vehicle is 32 inches. if the tires are moving at a rate of 800 revolutions per minute, find the linear speed of the vehicle in miles per hour. when teaching a patient about fire safety, which activity does the nurse know is the leading cause of fire-related death? This morning, Maya's car had 18.41 gallons of fuel. Now, 1.7 gallons are left. Howmuch fuel did Maya use?X Two well known athletes who are considered the best in the world are about tocompete. Athlete A knows that Athlete B used an illegal substance regularly for twoyears and stopped a month ago. Athete A goes to the police and reports the previousillegal activity to get Athlete B jailed to miss the competition and secure a win for AthleteA without even competing. What are the criminal law implications here and will Athlete Abe successful with the plan? Your answer should list any pertinent rules and then applythem to the situation a common theme of many greek tragedies is group of answer choices conflict between an individual and the community. the threat of disguised foreigners to a city. the untimely death of a young protagonist. treachery and murder among the upper class. 2-3 sentences. What are some songs that have impacted your life? compared to conventional methods, commercial modifications of antimicrobial susceptibility testing offer what advantages? the equilibrium price of a good or service in a competitive market is group of answer choices a reflection of the opportunity cost of producing the product. lower than it should be because bankruptcies are common in competitive markets higher than the opportunity cost of producing the product. higher than it should be because profits are included in the price. when the federal reserve conducts open-market operations to increase the money supply, it group of answer choices decreases the amount of deposits that banks must keep on hand. buys government bonds from the public. raises the discount rate. decreases its lending to member banks. Griffin throws a 0.25 kg football with a force of 10 N. The ball that started from rest took 3 second to reach a final velocity. What is the momentum of the ball? Please help!!!Select the sentence with an allusion in it. She kept time like a coo-coo clock He spun a web of lies to catch his prey She was a regular Sherlock Holmes The wind yelled at the travelers