Since, 13 is not less than 13. Therefore, x = 5 is not a solution to the inequality 13 < 2x+3.
To determine whether a value of x is a solution to the inequality 13 < 2x+3, we need to substitute the value of x into the inequality and see if it is true or false.
Let's try x = 5. Then: 13 < 2x+3
13 < 2(5)+3
13 < 10+3
13 < 13
This is not true, since 13 is not less than 13. Therefore, x = 5 is not a solution to the inequality 13 < 2x+3.
Note that if we had found 13 < 13 instead, then we would have concluded that x = 5 is not a solution to the inequality. But since the inequality is strict (i.e., "less than"), we need to have a strict inequality when we substitute the value of x to determine whether it is a solution.
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Help
Find the polynomial function with degree 3 in standard form, which has roots of 1 and 1 +i, and f(0) = -2.
Thanks in advance
The polynomial can be written as:
f(x) = x³ - 3x² + 4x - 2
How to find the polynomial?We know that the degree is 3, and two of the roots are x = 1 and x = 1 + i.
Then the last root must be 1 - i, so the polynomial is real, then if the leading coeficient of the polynomial is a, we can write:
f(x) = a*(x - 1)*(x - (1+ i))*(x - (1 - i))
Expanding that:
f(x) = a*(x - 1)*[x² -2x + 2]
f(x) = a*(x³ - 2x² + 2x - x² + 2x - 2)
f(x) = a*(x³ - 3x² + 4x - 2)
And we know that f(0) = -2, then we need to solve:
-2 = a*(0³ - 3*0² + 4*0 - 2)
-2 = a*-2
So a = 1
The polynomial is:
f(x) = x³ - 3x² + 4x - 2
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Calculate the number of ways to arrange the letters in your:
a. First name.
b. Last name.
c. The letters in both your first name and last name.
My name is JOSEPH BURKE.
thanks!
It is 8! x 5! or 483840 different arrangements.
Determine number of waysTo calculate the number of ways to arrange the letters in your first name, Joseph, there are 8! or 40320 different arrangements.
To calculate the number of ways to arrange the letters in your last name, Burke, there are 5! or 120 different arrangements.
Lastly, to calculate the number of ways to arrange the letters in both your first name and last name, it is 8! x 5! or 483840 different arrangements.
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find the value of x and y.
The value of x and y are 40° and 40° respectively
What is circle geometry?A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
These are the few theorems of circle geometry
1. The angle at the centre is twice the angle at the circumference.
2. The angle in a semicircle is a right angle.
Angles in the same segment are equal.
3. Opposite angles in a cyclic quadrilateral sum to 180°
4. The angle between the chord and the tangent is equal to the angle in the alternate segment.
from triangle AOB,
angle 0 = 60° (opposite angles)
x = 180-( 80+60)
x = 180-140
x = 40°
x= y ( angle in the same segment are equal)
y = 40°
therefore the value of x and y are 40°
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12-ounce soft drink has 41 grams of sugar, which is 14% of the normal daily allowance for sugar. Approximately how many grams of sugar are recommended in the normal diet?
Answer:
If 41 grams of sugar is 14% of the normal daily allowance for sugar, we can set up a proportion to solve for the recommended amount:
41 grams / x = 14% / 100%
where x is the recommended amount of sugar.
To solve for x, we can cross-multiply and simplify:
41 / 0.14 = x / 1
x = 292.86
Rounding to the nearest gram, the recommended amount of sugar in a normal diet is approximately 293 grams.
Find the area of (a) A triangle if two sides have lengths 13 and 15 and the altitude to the third side has length 12 (b) A triangle whose sides have lengths 10, 10, and 16 (c) A triangle whose sides have lengths 5, 12, and 13 (d) An isosceles triangle whose base has length 30 and whose legs each have length 17 (e) An isosceles triangle whose base has length 20 and whose vertex angle measures 68° (f) An isosceles triangle whose base has length 30 and whose base angle measures 62° (g) A triangle inscribed in a circle of radius 4 if one side is a diameter and another side makes an angle measuring 30° with the diameter (h) A triangle cut off by a line parallel to the base of a triangle if the base and altitude of the larger triangle have lengths 10 and 5, respectively, and the line parallel to the base is 6
(a) The area of a triangle can be found using the formula A = (1/2)bh, where b is the base and h is the height. In this case, the base is one of the sides with length 13 or 15, and the height is the altitude with length 12. Using the formula, the area is A = (1/2)(13)(12) = 78 square units.
(b) The area of a triangle can also be found using Heron's formula, which is A = √[s(s-a)(s-b)(s-c)], where s is the semiperimeter of the triangle, and a, b, and c are the lengths of the sides. In this case, s = (10+10+16)/2 = 18, so the area is A = √[18(18-10)(18-10)(18-16)] = 80 square units.
(c) Using Heron's formula again, s = (5+12+13)/2 = 15, so the area is A = √[15(15-5)(15-12)(15-13)] = 30 square units.
(d) The area of an isosceles triangle can be found using the formula A = (1/2)bh, where b is the base and h is the height. In this case, the base is 30 and the height can be found using the Pythagorean theorem, h = √(17^2 - (30/2)^2) = 8. So the area is A = (1/2)(30)(8) = 120 square units.
(e) The area of an isosceles triangle can also be found using the formula A = (1/2)ab sin C, where a and b are the lengths of the two equal sides and C is the vertex angle. In this case, a = b = 20 and C = 68°, so the area is A = (1/2)(20)(20) sin 68° = 190.4 square units.
(f) Using the same formula as in (e), but with a = b = 30 and C = 62°, the area is A = (1/2)(30)(30) sin 62° = 675 square units.
(g) The area of a triangle inscribed in a circle can be found using the formula A = (1/2)ab sin C, where a and b are the lengths of the two sides and C is the angle between them. In this case, one side is a diameter with length 8 (2 times the radius of 4), another side has an unknown length, and the angle between them is 30°. The area is A = (1/2)(8)(b) sin 30° = 2b square units.
(h) The area of a triangle cut off by a line parallel to the base can be found using the formula A = (1/2)bh, where b is the length of the base and h is the height. In this case, the base is 10 and the height is 5 - 6 = -1, so the area is A = (1/2)(10)(-1) = -5 square units.
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Given a Markov chain with probability transition matrix
P = [0.4 0.6]
[0.7 0.3]
Verify that this is an irreducible ergodic Markov chain.
Compute the two step transition probability matrix P(2) .
Find the limiting probability π0 and π1.
The limiting probabilities are π0 = 7/12 and π1 = 5/12.
Verify that this is an irreducible ergodic Markov chain.
An irreducible Markov chain is one in which it is possible to move from any state to any other state in a finite number of steps. In this case, the probability transition matrix P is:
P = [0.4 0.6]
[0.7 0.3]
Since there are non-zero probabilities in every row and column, it is possible to move from any state to any other state in a finite number of steps. Therefore, this is an irreducible Markov chain.
An ergodic Markov chain is one in which every state is positive recurrent and aperiodic. Since this is an irreducible Markov chain, every state is positive recurrent. Additionally, there are no cycles in the transition matrix, so every state is aperiodic. Therefore, this is an ergodic Markov chain.
Compute the two step transition probability matrix P(2).
The two step transition probability matrix P(2) is obtained by multiplying the matrix P by itself:
P(2) = P * P = [0.4 0.6] * [0.4 0.6]
[0.7 0.3] [0.7 0.3]
= [0.4*0.4 + 0.6*0.7 0.4*0.6 + 0.6*0.3]
[0.7*0.4 + 0.3*0.7 0.7*0.6 + 0.3*0.3]
= [0.58 0.42]
[0.49 0.51]
Find the limiting probability π0 and π1.
The limiting probabilities are the stationary probabilities of the Markov chain, which are obtained by solving the following system of equations:
π0 = 0.4*π0 + 0.7*π1
π1 = 0.6*π0 + 0.3*π1
π0 + π1 = 1
Solving this system of equations gives:
π0 = 7/12
π1 = 5/12
Therefore, the limiting probabilities are π0 = 7/12 and π1 = 5/12.
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en has 1 5 liter of juice. She distributes it equally to 3 students in her tutoring group. What fraction of the juice does each student get? Partition and shade the tape diagram to represent the amount of juice. 1 liter Nice! Partition the tape diagram to represent how Jen distributes the juice. 1 liter 1 5 Nice! Double shade to show the fraction of juice each students gets. 1 liter 1 5 Good work! Solve. Show the answer in an equation. 1 liter 1 5
Each student gets 1/3 of the juice.
What is Division?
One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.
When no more full chunks of the size of the second number can be allocated during the computation of the quotient, the division with remainder or Euclidean division of two natural numbers yields an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that remains.
Each student gets 1/3 of the juice.
Equation: 1/3 x 5 = 5/3 or 1 2/3 liters per student.
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Sheffield Company of Emporia, Kansas spreads herbicides and applies liquid fertilizer to local farmers
In the journal entries, Debit: Accounts Receivable Credit: Cash 570
Debit: Sales revenue Credit: Cash 40
Bank Reconciliation StatementMay 31, 2022
Cash balance per bank statement 8,120
Add:
Deposit in transit 1,972.55
Bank error—Sheffield 390
2,362.55
10,482.55
Less: Outstanding checks 876.05
Adjusted cash balance per bank 9,606.50
Cash balance per books 8,110.50
Add: Electronic funds transfer received 2,200
10,310.50
Less:
NSF check 570
Error in deposit 40
Error in recording check (1181) 54
Check printing charge 40
704
Adjusted cash balance per book 9,606.50
Journal Entries:
Debit: Cash Credit: Accounts Receivable 2,200
Debit: Accounts Receivable Credit: Cash 570
Debit: Sales revenue Credit: Cash 40
Debit: Accounts payable Credit: Cash 54
Debit: Bank charges expense Credit: Cash 40
Note: Bank charges expense can also be titled as Miscellaneous expense.
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What's the answer to this?
Answer:
answer is D
Step-by-step explanation:
if you replace X with 4 the equation should give you a 0.
after the long division method, you will obtain a quadratic equation.
to solve the quadratic equation you can use either of the known methods like factorisation or graphical methods or the quadratic formula.
t
Which coupon should Clara use to save the most money on a tent originally priced at $46? $24 off or 50% off
Clara should use the 50% off coupon to save the most money on a tent originally priced at $46.
To determine which coupon will save Clara the most money, we need to calculate the final price of the tent with each coupon.
For the $24 off coupon:
Final price = Original price - Coupon amount
Final price = $46 - $24
Final price = $22
For the 50% off coupon:
Final price = Original price - (Original price x Coupon percentage)
Final price = $46 - ($46 x 0.50)
Final price = $46 - $23
Final price = $23
As we can see, the final price of the tent with the $24 off coupon is $22, while the final price with the 50% off coupon is $23. Therefore, Clara should use the $24 off coupon to save the most money.
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Watch help video Use synthetic division to find the result when 2x^(4)-7x^(3)+5x^(2)-5x+5 is divided by x-1. If there is a remainder, express the result in the form q(x)+(r(x))/(b(x)).
The result when 2x^(4)-7x^(3)+5x^(2)-5x+5 is divided by x-1 using synthetic division is q(x) = 2x3 - 5x2 + 3x - 2 + (r(x))/(b(x))
To find the result when 2x^(4)-7x^(3)+5x^(2)-5x+5 is divided by x-1 using synthetic division, start by expressing the polynomial as follows:
2x4 - 7x3 + 5x2 - 5x + 5
Then, write the polynomial in the form:
[x4 , x3, x2, x, 1]
Now, draw a box to write the coefficients of the polynomial:
[ 2 | -7 | 5 | -5 | 5]
Underneath the coefficients, write the divisor (x-1):
[ 2 | -7 | 5 | -5 | 5]
[ 1 | -1 ]
Multiply the first coefficient by the divisor and write the result on the bottom of the box:
[ 2 | -7 | 5 | -5 | 5]
[ 1 | -1 ]
2
Subtract this result from the second coefficient and write the result:
[ 2 | -7 | 5 | -5 | 5]
[ 1 | -1 ]
2
5
Repeat the process for the remaining coefficients and write the final result:
[ 2 | -7 | 5 | -5 | 5]
[ 1 | -1 ]
2
5
3
-2
The result when 2x^(4)-7x^(3)+5x^(2)-5x+5 is divided by x-1 using synthetic division is q(x) = 2x3 - 5x2 + 3x - 2 + (r(x))/(b(x))
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What is the value of x?
x+42°
x = [
O
X
X-21°
Answer:
x=63
Step-by-step explanation:
------------------
Please answer this question
Answer: 1
Step-by-step explanation:
(6) + (8) ÷ 8 - 6
divide first then do left to right
6 + 1 - 6
7 - 6
1
Answer:
1
Step-by-step explanation:
t = 6 and d = 8
Rewrite the expression by replacing variables with given values:t + d ÷ 8 - 6 = 6 + 8 ÷ 8 - 6
First step is division.6 + 1 - 6
Then we follow from left to right and first add then subtract.6 + 1 - 6 = 1
A couple has 5000 dollars to invest and has to choose between 3 investments
option A: 2 1/4% intersect compounded quarterly
option B: 3% interest compounded every 4 months
option C: 4.5% annual interest compounded semi-annually
If they plan on no deposits and no withdrawals for 5 years, which option will give them the largest balance afetr 5 years?
Using Compound Interest, The largest balance is $7802.55, so the option A will give them the largest balance after 5 years.
What is Compound Interest?Even though there are several ways to define an investor, compound interest helps investors. When banks lend money and utilize the income they earn to finance other loans, for instance, they profit from compound interest. When depositors earn interest on their bank accounts, bonds, or other investments, compound interest benefits them.
here, we have,
It's crucial to remember that although while "compound interest" includes the word "interest," the idea extends beyond the contexts in which the expression is typically employed, such as bank accounts and loans.
We will calculate compound interest in every case:
Using formula
amount = P(1+r/m)^t
option A: balance after 5 years:
7802.55
option B:
balance after 5 years:
7789.84
option C:
balance after 5 years:
7768.85
The largest balance is $7802.55, so the option A will give them the largest balance after 5 years.
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7. Calculate the area of figure below. 8 cm 4 cm 6 cm 5 cm a b C 2 21 cm 2 23 cm 2 42 cm 2 48 cm
The area of the composite figure given is 39 cm²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given is a figure with dimensions, 3 cm 4 cm 6 cm 5 cm we need to find the area of the figure,
Since, we can see that the figure is a composite figure, we will first split the figure and find the area of each part separately then, add all of them,
The figure is consisting of two rectangles, with dimensions, 4 cm and 6 cm and the second one with dimensions, 5 cm and 3 cm,
so, the area of the rectangle with dimensions, 4 cm and 6 cm = 4 x 6 = 24 cm²
And,
The area of the rectangle with dimensions, 5 cm and 3 cm = 5 x 3 = 15 cm²
The area of the figure = 15 + 24 = 39 cm²
Hence, the area of the composite figure given is 39 cm²
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The complete question is attached
1. (-3)² + (-2)² is equal to (A) (B) -13 -10 13. 25
The simplified form of the expression ( -3 )² + ( -2 )² is 13.
What is the simplified form of the expression?Given the expression in the question;
( -3 )² + ( -2 )²
To solve the expression (-3)² + (-2)², we first need to simplify each term inside the parentheses by multiplying each term by itself.
It involves squaring the values of -3 and -2, and then adding them together.
First, we can simplify;
(-3)² as (-3) x (-3), which gives us 9.
Similarly,
(-2)² can be simplified as (-2) x (-2), which gives us 4.
So, substituting these values back into our original expression, we get:
(-3)² + (-2)² = 9 + 4 = 13
(-3)² + (-2)² = 12
Therefore, (-3)² + (-2)² simplifies to 13.
Option C) 13 is the correct answer.
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plsss cann you helpppp mee
The reflection of the shape over the line p is drawn and added as an attachment
How to reflect the shape over the lineWhen a shape is reflected over a line, it is flipped across that line. The reflected image of the shape is a mirror image of the original shape, and appears to be a mirror image of the original shape.
This means that we simply flip the shape over the line of reflection
The line over which the shape is reflected is called the line of reflection, and it acts as a mirror. In this case, it is the line p. The shape and its reflected image are symmetric with respect to the line of reflection.
Flipping the shape would result in any point on the original shape and its corresponding point on the reflected image are equidistant from the line of reflection, as the distance between a point and its reflected image is equal to twice the perpendicular distance from the point to the line of reflection.
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6 marks
For each of the following statements, determine whether the boldfaced statement is true or false, and explain the basis of your answer using no more than 100 words per statement. (No marks for only stating "true" or "false" without explanation.)
a. Apsychologistranaone-waybetweensubjectsANOVAwitha5% significance criterion to compare the means of five conditions on JAMOVI. The test for the omnibus null hypothesis was significant and the psychologist proceeded to run Bonferroni adjusted post-hoc tests to probe into the findings. The psychologist reasoned that if she conducted this post-hoc testing by hand the p-value for each pairwise comparison should be no more
than .0083 to be considered as statistically significant. [3 marks]
b. Aresearcherplanstoapplyaone-waybetweensubjectsANOVAtocompare the completion time on a task across three experimental conditions. The researcher reasons that if the observed means across the three conditions differ entirely due to sampling errors, the critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA will depend on the total sample size (among other aspects). [3 marks]
The ANOVA will depend on the total sample size.
a. False. The psychologist's reasoning is incorrect, as the critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA does not depend solely on the total sample size, but also on the number of groups being compared and the level of significance. Furthermore, a Bonferroni adjusted post-hoc test does not require the p-value for each pairwise comparison to be no more than .0083 to be considered as statistically significant.
b. True. The critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA will depend on the total sample size, as well as on the number of groups being compared and the level of significance. Therefore, if the observed means across the three conditions differ entirely due to sampling errors, the critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA will depend on the total sample size.
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A conical body is rotated with a constant speed of 37 rad/s; the base of the cone has a diameter of 18cm, and the thickness of the oil film is 0.8mm. If the viscosity of the oil is 4·10-3 [N·S/m2 ], find the torque required to maintain motion. Select the indicated motor.
The torque required to maintain motion of the rotating conical body in the oil film is 0.149 N·m.
The torque required to maintain motion of a rotating conical body in an oil film can be found using the equation T = (2πμωR^3h)/ln(R/h), where T is the torque, μ is the viscosity of the oil, ω is the angular velocity of the cone, R is the radius of the base of the cone, and h is the thickness of the oil film.
First, we need to convert the given values into the appropriate units. The diameter of the base of the cone is 18cm, so the radius is 9cm or 0.09m. The thickness of the oil film is 0.8mm, or 0.0008m. The viscosity of the oil is 4·10^-3 N·S/m^2, and the angular velocity of the cone is 37 rad/s.
Now we can plug these values into the equation:
T = (2π)(4·10^-3 N·S/m^2)(37 rad/s)(0.09m)^3/(0.0008m)
T = 0.149 N·m
Therefore, the torque required to maintain motion of the rotating conical body in the oil film is 0.149 N·m.
To select the indicated motor, we need to find a motor that can provide a torque of at least 0.149 N·m. This will ensure that the motor can maintain the constant motion of the conical body in the oil film.
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What is the rate at which the water was drained from the tank?
The rate at which the water was drained from the tank is 6 gallons of water per minute.
Given:
Draining Time (minutes) 10 30
Water in Tank (gallons) 450 330
According to the question,
Now, we calculating the rate at which water was drained at a constant rate.
Rate of water drained = [tex]\frac{Rate of change of water in Tank}{Rate of change Draining Time }[/tex]
Rate of water drained = [tex]\frac{450 - 330}{30 - 10} = \frac{120}{20} = 6[/tex]
The gallon is an important unit of measurement that continues to be used widely today. Specifically, it refers to the amount of space occupied by one US liquid gallon of water, which is equivalent to approximately 3.785 liters. The gallon is commonly used to measure liquids such as gasoline, milk, and water.
The term "gallon" has a long history, dating back to medieval England, where it was used to measure wine and beer. Over time, different countries and regions developed their own variations of the gallon, with the US liquid gallon being slightly larger than the UK imperial gallon. In addition to its use in everyday life, gallons are also used in various industries, including agriculture, manufacturing, and transportation.
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Complete Question:
A tank of water was drained at a constant rate. The table shows the number of gallons of water left in the tank after being drained for two amounts of time. Draining Time (minutes) Water in Tank (gallons) 10 450 30 330
Carl's company charges $55 for monthly service plus $4 for each pay-per-view movie.
Teleview cable company charges $110 per month with no fee for movies.
For what number of movies is the cost of carl's cable company less than the cost of Teleview?
Carl's cable company is cheaper than Teleview. For 14 or more movies, teleview is cheaper than Carl's cable company.
by the question.
Let's represent the number of movies by the variable "x".
The cost of Carl's cable company is given by:
C(x) = 55 + 4x
The cost of Teleview cable company is given by:
T(x) = 110
We want to find the number of movies for which Carl's cable company is cheaper than teleview. In other words, we want to find x such that:
C(x) < T(x)
Substituting the expressions for C(x) and T(x), we get:
55 + 4x < 110
Subtracting 55 from both sides, we get:
4x < 55
Dividing both sides by 4, we get:
x < 13.75
Since the number of movies has to be a whole number, the largest number of movies for which Carl's cable company is cheaper than teleview is 13.
For 13 or fewer movies,
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selana wonders whether a person at a small table or a person at a large table gets more pizza. she uses two ratios, 8 : 3 and 10 : 4, and says
Answer:
Step-by-step explanation:
No, Selena is incorrect.
answer: Even though there are six
more people than pizzas at the large table and only five more people
than pizzas at the small table, each person at the large table will get
a greater share of pizza than each person at the small table.
WHAT IS THE VOLUME DK THATS WHY I NEED MORE HELP PLEASE AND THANK YOU LAST ONE I SWEAR THANK YOU GUYSS
The total volume is 5760cm^3
What is the volume?Here we have a composite figure that can be decomposed into two simpler ones, such that the simpler ones are rectangular prisms of:
12 cm by 20 cm by 8 cm
12 cm by 40 cm by 8cm
We know that the volume is equal to the product between the dimensions, then the volumes are:
v1 = 12cm*20cm*8cm = 1,920 cm^3
v2 = 12cm*40cm*8cm = 3,840cm^3
The total volume is the sum of these two:
V = 1920cm^3 + 3840cm^3 = 5760cm^3
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The diameter of the circle that a shot-putter stands in is 7 feet. What is the area of the circle?
HUrry thxs
Answer: 38.465 feet
Step-by-step explanation: The diameter (7 feet) divided by 2, equals 3.5. multiply 3.5 squared (12.25 feet) by pi (3.14) equals your answer of 38.465 feet.
identify the initial amount a and the rate of growth r (as a percent) of the exponential funtion y=25(1.2)^t. evaluate the funtion when t=5. round your answer to the nearest tenth
When t = 5, the value οf the expοnential functiοn[tex]y = 25(1.2)^t[/tex] is apprοximately 36.7.
What is an expοnential functiοn?An expοnential functiοn is a mathematical functiοn οf the fοrm[tex]f(x) = ab^x[/tex] where a and b are cοnstants, and x is the independent variable. The base b is a pοsitive cοnstant greater than 0 and nοt equal tο 1.
In the expοnential functiοn [tex]y = 25(1.2)^t[/tex], the initial amοunt is 25, which is the value οf the functiοn when t = 0.
The rate οf grοwth is 20%, which is the value οf the base οf the expοnential functiοn minus 1, expressed as a percentage. In this case, the base is 1.2, which is 20% greater than 1.
Tο evaluate the functiοn when t = 5, we substitute t = 5 intο the functiοn and simplify:
[tex]y = 25(1.2)^t[/tex]
[tex]y = 25(1.2)^5[/tex]
[tex]y = 25(1.469)[/tex]
[tex]y = 36.73[/tex]
Rοunding tο the nearest tenth, we get y ≈ 36.7.
Therefοre, when t = 5, the value οf the expοnential functiοn [tex]y = 25(1.2)^t[/tex]is apprοximately 36.7.
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what is the value of x? (6x+8/4/7) A.128 4/7 B.120 C. 51 3/7 D.20
Answer:
You can not find X unless there is an answer you are looking for (Ex: 2x=4 so x=2) if there is nothing its equal to x can be everything and nothing
Step-by-step explanation:
(2x-6) is less than the degree of the aivior Practice Set Divide. Write the quotient and the remaind (1) 21m^(2)-:7m (3) (-48p^(4))-:(-9p^(2)) (5) (5x^(3)-3x^(2))-:x^(2) (7) (2y^(3)+4y^(2)+3)-:2y^(2)
(1)
21m^2 ÷ 7m = 3m
The quotient is 3m and there is no remainder.
(3)
(-48p^4) ÷ (-9p^2) = 5p^2 + (3p^2/(-9p^2)) = 5p^2 - (1/3)
The quotient is 5p^2 - (1/3) and the remainder is -(1/3).
(5)
(5x^3 - 3x^2) ÷ x^2 = 5x - 3
The quotient is 5x - 3 and there is no remainder.
(7)
(2y^3 + 4y^2 + 3) ÷ 2y^2 = y + (y+3)/(2y^2) = y + (3)
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Mark drove to the mall on a busy shopping day. He got to the mall parking lot at 6:46, but he didn't find a parking spot until 19 minutes later. What time was it when Mark finally parked the car?
Answer:
7:05
Step-by-step explanation:
6:46 + 19 min = 7:05
Help me, please. I hate math and I suck at it
Answer:
See below.
Step-by-step explanation:
We are asked to find the value of x.
We should know that these angles are Same-Side Interior Angles.
What are Same-Side Interior Angles?
Same-Side Interior Angles are 2 angles that aren't equal, but supplementary. They're formed inside 2 parallel lines.
What are Supplementary Angles?Supplementary angles are 2 angles that add up to 180°.
Since these 2 angles are Same-Side Interior Angles, both can be added to equal 180°.
[tex]4x+2x+12=180[/tex]
Combine Like Terms:
[tex]6x=168\\x = 28[/tex]
The value of x is 28.
3. a. Find the sum of the interior angles of a regular hexagon and hence the size of each interior angle. For a hexagon, n = 6. Therefore the sum of the interior angles = 180(6 - 1) = 180 x 5° = 900° For a regular hexagon the interior angles are of equal size. Therefore each angle = 900°/6 = 150° b. Suppose we choose an integer from the set of the first ten 10
Each interior angle is 720°/6 = 120°.
The sum of the interior angles of a regular hexagon can be found using the formula 180(n-2), where n is the number of sides of the hexagon. In this case, n = 6, so the sum of the interior angles is 180(6-2) = 180(4) = 720°. Since the hexagon is regular, all of its interior angles are of equal size. Therefore, each interior angle is 720°/6 = 120°.
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