find the rules for these sequence ​

Find The Rules For These Sequence

Answers

Answer 1

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03


Related Questions

36 моля колкото по бързо може формулата е (X÷2)÷(x×3)=305,4

Answers

Answer:

Step-by-step explanation:

The quotient of two numbers is 305.4. Find the quotient if the divisor decreases 2 times and the divisor increases 3 times

x/y = 305.4

3x/(y/2) = 6x/y = 6*305.4 = 1832.4

Note that the question will be deleted soon because it is posted in a language other than English.

Обратите внимание, что вопрос будет удален в ближайшее время, потому что он размещен на языке, отличном от английского.

In which quadrant or on which axis do each of the points (2, 3 ), ( 5, -6 ), ( 2,0 ) , ( -5, 2 ), (-2,-4), (0,-2).

Answers

from the above picture

2,3 = 1 quadrant

5,-6 = 4 quadrant

2,0 = on x axis

-5,2 = 2 quadrant

-2,-4 =3 quadrant

0,-2 = on y axis

The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit

Answers

Answer:

25 students

Step-by-step explanation:

What we need to do here is to do some tracing. We simply need to go to the point on the concert band where we have the value 35.

After sighting this value, we then make a tracing to the line of best fit. Then from this line of best fit, we trace the point on the matching band that correlated with the value 35.

If properly traced, we would arrive at a value of 25 on the marching band

On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q

Answers

Answer:

[tex]d = \sqrt{85}[/tex] or d ≈ 9.22

Step-by-step explanation:

Distance formula:

[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]

Can anyone plz help me? with this math question?

Answers

Answer:

it May be SAS postulate

Please answer this question now in two minutes

Answers

Answer:

d is 5 units

Step-by-step explanation:

Each day that a Redbox movie is kept past its due date, a $1.50 fee is charged at midnight.
What is the ordered pair it a movie is kept for 5 days?
Let x represents the number of days that a movie is late and y represents the total fee

Answers

Answer:

(5, 7.5)

Step-by-step explanation:

Each day the movie is late adds $1.50 for late fees.Then, after 5 days of past due, the total late fee would be: 5 * $1.50 = $7.50

Then the coordinate pair representing this would be: (5, 7.5)

Use pi=3.14. Round to the nearest hundredth

Answers

Answer:

9.42

pi x radius x radius x (height / 3) = volume

1 x 1 = 1 and 9/3 = 3

pi x 1 x 3 = volume

pi x 3 = volume

3.14 x 3 = 9.42

Hope this helps

Step-by-step explanation:

C(n)=4/9(-3)^n-1. WHATS THE 3rd TERM? Please help I can’t get this done

Answers

Answer:

Third term=4

Step-by-step explanation:

Given:

C(n)=4/9(-3)^n-1

Find the third term

Let n=3

Substitute n=3 into the equation

C(n)=4/9(-3)^n-1

C(3)=4/9(-3)^3-1

Step 1: evaluate the power 3-1

C(3) = 4/9(-3)^2

Step 2: evaluate (-3)^2

C(3) = 4/9(9)

It can be rewritten as

C(3) = 4/9*9

9 numerator will strike 9 denominator out leaving 4

C(3)=4

Therefore, the third term=4

C(3)=4

The circle below is centered at the point (-3,4) and had a radius of 3. What is it equation? ( top answers gets )

Answers

Answer:

( x+3) ^2 + ( y-4) ^2 = 9

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x--3) ^2 + ( y-4) ^2 = 3^2

( x+3) ^2 + ( y-4) ^2 = 9

The equal sides of isosceles triangle are 10 cm and perimeter is 28 cm. The area of this triangle is?

Answers

Answer:

A=24 CM²

Step-by-step explanation:

10 x 2 + x=28

20+x=28

x=8

a=b x h/2

a=6 x 8 / 2

a=24CM²

Expand. Your answer should be a polynomial in standard form. (6x+1)(1-3x)

Answers

Answer:

3x-18x^2+1

Step-by-step explanation:

(6x+1)(1-3x)

6x-18x^2+1-3x

6x-3x-18x^2+1

3x-18x^2+1

Hope this helps :)

Answer:

[tex]-18x^2+3x+1[/tex]

Step-by-step explanation:

[tex]6x *1=6x\\6x*-3x=-18x^2\\1*1=1\\1*-3x=-3x\\[/tex]

Add all the like terms

[tex]-9x^2+3x+1[/tex]

An economist is studying the linear relationship between the selling price p, of a
mobile phone and the number of persons buying the phone x. The table of values
illustrates her findings. Write the equation that represents the relationship between the
number of persons buying the phone and the price of the phone.​

Answers

Answer:

The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60

Step-by-step explanation:

The given data are as follows

x,      p($)

10,    52.5

25,   41.25

40,   30

60,   15

We note that a plot of the given points give a straight line graph indicating a linear relationship

The rate of change of p($) with x is given by slope, m in the following relation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Which gives;

[tex]Slope, \, m =\dfrac{41.25-52.5}{25-10} = \dfrac{30-41.25}{40-25} = \dfrac{15-30}{40-60} =-0.75[/tex]

Therefore, to write the equation in slope and intercept form, we have;

From the first point with coordinates (52.5, 10), we have

y - 52.5 = -0.75×(x - 10)

y = -0.75·x + 7.5 + 52.5 = -0.75·x + 60

The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60.

Urgent help I need it right now!!!!

Answers

Answer:

[tex]\boxed{\sf 30 \ bean \ cans}[/tex]

Step-by-step explanation:

The ratio of bean cans to corn cans is 6 : 7

Given that Corn cans = 35

Let the bean can be x

So,

The proportion for it will be:

6 : 7 = x : 35

Product of Means = Product of Extremes

7 * x = 6 * 35

7x = 210

Dividing both sides by 7

x = 30

So, 30 bean cans have to be put on the table to hold the needed ratio

which ordered pair has a solution to the system of inequalities. y>2x and y>3

Answers

Answer:

We have the system:

y > 2*x

y > 3

Now, let's find the limits:

taking y > 3, we can see the limit y = 3.

Now we replace it in the first inequality:

3 > 2*x

3/2 > x.

Then we have that:

y > 3

x < 3/2

Those two inequalities define our system.

So any ordered pair where x is smaller than 3/2 and y is larger than 3, is a solution.

or example:

(1, 3.5) is a solution.

Answer:

(1,5)

Step-by-step explanation:

the other options make the system of equations wrong..

ASAP! Please help me with this question!

Answers

Answer:

24 cm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

2304 pi = 4/3 pi r^3

Divide each side by pi

2304 = 4/3 r^3

Multiply each side 3/4

2304 * 3/4 = 4/3 r^3 * 3/4

1728 = r^3

Take the cube root of each side

1728 ^ 1/3 = r^3 ^ 1/3

12 = r

We want the diameter

d = 2*r

d = 2*12

d = 24

Answer:

24 centimeters

Step-by-step explanation:

A basketball is a sphere. The volume of a sphere can be found using the following formula:

V= 4/3 π r^3

We know that the volume is 2304 π cm^3, therefore we can substitute 2304π in for V.

2304π = 4/3 π r^3

We want to find out what r is. Therefore, we must get r by itself. First, divide both sides by pi.

2304π/π=4/3πr^3/π

2304π/π=4/3r^3

2304=4/3r^3

Next, divide both sides by 4/3, or multiply by the reciprocal of 4/3. The reciprocal of 4/3 is 3/4 (flip the numerator and denominator).

2304*3/4=4/3r^3*3/4

2304*3/4=r^3

1728=r^3

Now, take the cube root of both sides.

∛1728=∛r^3

∛1728=r

12=r

r= 12 cm

The radius is 12 centimeters, but the question asks us to find the diameter. The diameter is twice the radius.

d= 2r

d= 2* 12 cm

d= 24 cm

The diameter of the basketball is 24 centimeters.

               

Hurry I need it now !
(04.01 MC)

Which characteristics will prove that ΔDEF is a right, scalene triangle?

Answers

Answer:

A right scalene triangle would have a 90 degree angle and 3 non congruent sides

Step-by-step explanation:

- all interior angles are different
- all sides are different
- also they have no lines of symmetry

Rearrange the following formula to solve for p: wa+3p=q

Answers

Answer:

wa + 3p = q

3p = q - wa -- Subtract wa

p = (q - wa) / 3 -- Divide by 3

Answer:

[tex] \boxed{\sf p = \frac{1}{3} (p - wa)} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: p: \\ \sf \implies wa + 3p = q \\ \\ \sf Subtract \: wa \: from \: both \: sides: \\ \sf 3p = q - wa \\ \\ \sf Divide \: both \: sides \: by \: 3: \\ \sf \implies p = \frac{1}{3} (q- wa)[/tex]

the mapping diagram shows a function S(x).

Which mapping diagram shows the inverse of S(x)?

Answers

Answer:

Again the domain consists of the pre-images and the range the images.

When we are looking for the f(x) we just look at the number it is pointing to in the range (when we have a diagram), and when we are looking for x when f(x)=y we look at the number that has a line pointed to y.

So the f(4)=

f(x)=4 when x is 8

Please help me!!!!!! I do not understand...

Answers

Answer:

the second one........the shape of the conic section os circle

Find the equation of the circle whose center and radius are given. Center:(-2,-5) Radius=1

Answers

Answer:

( x+2)^2 + (y+5)^2 = 1

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

( x- -2)^2 + (y- -5)^2 = 1^2

( x+2)^2 + (y+5)^2 = 1

Answer:

[tex](x + 2)^{2} + (y + 5)^{2} = 1[/tex]

Step-by-step explanation:

The guy above is correct! I just finished the quiz and checked the answer key.

Evaluate the expression. Assume that all the angles are in Quadrant I. (cos (arctan √3/7))

Answers

Answer:

0.971

Step-by-step explanation:

Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.

From the expression given

(cos (arctan √3/7)), we need to get the expression in parenthesis first.

Let y = (cos (arctan √3/7))

If u = arctan √3/7

Then y = cos(u) .... 1

Let's get the value of u first

u = arctan √3/7

u = arctan(0.2474)

u = 13.896°

Substituting u = 13.896° into equation 1, we will have;

y = cos(u)

y = cos13.896°

y = 0.971.

Hence the expression (cos(arctan√3/7)) is equivalent to 0.971

Answer:

y = 0.971.

Step-by-step explanation:

Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.

From the expression given

(cos (arctan √3/7)), we need to get the expression in parenthesis first.

Let y = (cos (arctan √3/7))

If u = arctan √3/7

Then y = cos(u) .... 1

Let's get the value of u first

u = arctan √3/7

u = arctan(0.2474)

u = 13.896°

Substituting u = 13.896° into equation 1, we will have;

y = cos(u)

y = cos13.896°

y = 0.971.

Does the table represent a function? Why or why not?
4
5
NWNWOX
5
7
9
A. No, because one x-value corresponds to two different y-values.
O B. Yes, because every xvalue corresponds to exactly one y value.
O C. No, because two of the y-values are the same.
O D. Yes, because there is the same number of x-values as y-values.

Answers

Answer:

Let's put the chart into ordered pairs:

(x, y)

(2,1)

(3,4)

(3,3)

(4,2)

(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function. 

The answer options may be mis-written. 

The answer is no, because one x value corresponds to more than one y-value. 

Write the equation of the circumference that meets the condition: Center on the line: x -4y = 1 And it passes through the points A (3,7) and B (5,5)

Answers

Answer:

(x + 3)² + (y + 1)² = 100

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center of the circle and r is the radius.

The center is on the line x − 4y = 1, so:

h − 4k = 1

h = 1 + 4k

(x − 1 − 4k)² + (y − k)² = r²

Two points on the line are (3, 7) and (5, 5), so:

(3 − 1 − 4k)² + (7 − k)² = r²

(5 − 1 − 4k)² + (5 − k)² = r²

Set the equations equal:

(3 − 1 − 4k)² + (7 − k)² = (5 − 1 − 4k)² + (5 − k)²

(2 − 4k)² + (7 − k)² = (4 − 4k)² + (5 − k)²

4 − 16k + 16k² + 49 − 14k + k² = 16 − 32k + 16k² + 25 − 10k + k²

4 − 16k + 49 − 14k = 16 − 32k + 25 − 10k

53 − 30k = 41 − 42k

12k = -12

k = -1

h = 1 + 4k

h = -3

(3 − 1 − 4k)² + (7 − k)² = r²

(3 − 1 + 4)² + (7 + 1)² = r²

6² + 8² = r²

r = 10

Therefore, the equation of the circle is:

(x + 3)² + (y + 1)² = 10²

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20). Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.

Answers

Answer:

(10, 17)

Step-by-step explanation:

It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.

Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)

From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.

y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.

The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.

x: 4+6 = 10

y: 8+9=17

The fruit market is at point (10,17)

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates

[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]

[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]

Tia is at P(4, 8) and Lei is at Q(12, 20).

The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1

So,

[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]

Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.

Learn more about graph here:

brainly.com/question/16608196

#SPJ5

4 men can make 4 Cupboards in 4 days ; how many cupboards can 14 men make in 14 days? ​

Answers

Answer:

49 cupboards

Step-by-step explanation:

See the steps below, it is self-explanatory:

4 men ⇒     4 days ⇒    4 cupboards4 men ⇒     1 day ⇒       1 cupboard1 man  ⇒     1 day ⇒      1/4 cupboard14 men ⇒    1 day ⇒      14/4 cupboards14 men ⇒    14 days ⇒  14*14/4 cupboards

As 14*14/4= 49, the answer is 49 cupboards

Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2)



A. y + 2 = 2(x - 2)
B. y 4 20 + 1)
c. y + 1 = 2(3-4)
D. y 2 233 - 2)

Answers

Answer:

The answer is option B

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

[tex]m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2[/tex]

So the equation of the line using point (-1,4) is

y - 4 = 2( x + 1)

Hope this helps you

20 POINTS AND WILL GIVE THE BRAINLIEST!!! Jack's favorite sports drink comes in a 20-ounce bottle. The manufacturer of the sports drink requires a tolerance of 0.4 ounce. This means that as long as the bottle is within 0.4 ounce of 20 ounces, the bottle can be sent to stores to be sold.
sold. Write an absolute value inequality describes the acceptable weight, w, of a 20-ounce bottle of sports drink

Answers

Answer:

[tex]|w-20|\leq 0.4[/tex]

Step-by-step explanation:

The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.

The weight can be:

1) smaller than or equal to 20 oz + 0.4 oz:  [tex]w\leq 20+0.4[/tex]  then [tex]w-20\leq 0.4[/tex]

2) larger than or equal to 20 oz - 0.4 oz:  [tex]20-0.4\leq w[/tex]  then  [tex]-0.4\leq w-20[/tex]

and which combined, can be written as a double inequality;

[tex]-0.4 \leq w-20\leq 0.4[/tex]

This double condition can also be written using the absolute value symbol as:   [tex]|w-20|\leq 0.4[/tex]

Find the ordered pair $(s,t)$ that satisfieFor a certain value of $k,$ the system \begin{align*} 3a + 4b &= 7,\\ 6a + 4b &= k- 4b \end{align*}has infinitely many solutions $(a,b).$ What is $k$?s the system \begin{align*} \dfrac{s}{2} + 5t &= 3,\\ 3t - 6s &= 9. \end{align*}

Answers

I really don’t get the answer!!


thank u have a good day!!

Answer:

Step-by-step explanation:

Simplify the following v^4*v^5*v

Answers

Answer:

v^10

Step-by-step explanation:

For this, we need to understand one important rule of exponents.  For powers of like bases, you add the exponents when they are being multiplied.  With this in mind let's continue.

In this problem, the base is v, each multiplied with different powers.  So:

v^4 * v^5 * v = v^(4+5+1) = v^10

So the solution will be v^10.

An additional example would be 2^2 * 2^3.

For this we know it would be 2^2 * 2^3 = 2^(2+3) = 2^5 = 32.

We can verify by simply doing 2 * 2 * 2 * 2 *  2 = 32.  Note both are 32, and this example shows the usefulness of exponent rules.

Hope this helps.  Cheers.

Answer:

v10

Step-by-step explanation:

v^4*v^5*v=v^10

add exponents when multiplying since we have exponents 4,5, and 1

4+5+1=10

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