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10 points

To solve this problem where we need to find the radius:

   ⇒ find the relationship between height, volume, and radius

     ⇒ only equation that involves all these quantities is

       ⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]

Let's set up our volume equation with known quantities

 [tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]

  *r cannot be negative thus r equals a positive 8

Thus the radius is 8.00 inches (rounded to the nearest hundredth)

Hope that helps!

Answer:

8.00 inches

Step-by-step explanation:

Given:

To find:

Cylinder’s Volume:

Substitute given information in:

[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]

Solve for r by dividing both sides by 47.1:

[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]

However, radius is a scalar value so it cannot be negative - the radius is 8 inches

Since you want in nearest hundredth then the radius is 8.00 inches

- 2/3 is the correct answer

Step-by-step explanation:

The rate of change of function K is -2/3. Therefore, option B is the correct answer.

The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.

Given that, linear function K passes through points (-3,7) and (3,3).

Now, the rate of change

= (3-7)/(3+3)

= -4/6

= -2/3

Therefore, option B is the correct answer.

Learn more about the rate of change here:

https://brainly.com/question/8223651.

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Answer:

  a) 160 meters short

  b) d = 200x +80y

  c) (run, walk) = (2, 15), (4, 10), (6, 5)

  d) see attached

Step-by-step explanation:

You're being asked to write an equation describing the gym class requirement, and to find several values of the variables that satisfy the equation.

It is convenient to write the equation first (part b).

__

At 200 meters per minute, in x minutes, Eric will run 200x meters. At 80 meters per minute, Eric will walk 80y meters in y minutes. His total distance covered will be ...

  d = 200x +80y

__

In the given times, Eric's distance covered is ...

  d = 200(4) +80(8) = 800 +640 = 1440 . . . meters

Eric is 160 meters short of the 1600-meter goal.

__

It is convenient to simplify the equation to one that lets us find one value in terms of the other.

  200x +80y = 1600

  5x +2y = 40 . . . . . . . . divide by 40

This will have integer solutions for even values of x in the range 0 to 8.

  y = (40 -5x)/2

For x={2, 4, 6}, we have ...

  y = (40 -5{2, 4, 6})/2 = {30, 20, 10}/2 = {15, 10, 5}

Eric can cover 1600 meters in (run, walk) times of ...

  (run, walk) = (2, 15), (4, 10), (6, 5)

__

The graph is attached. We'll let you read as many values from it as you may wish.

Answer:

15 - r

Step-by-step explanation:

[tex]8 - (r - 7) \\ 8 - r + 7 \\ 15 - r[/tex]

Answer:

69

Step-by-step explanation:

Just plug in

10(9)-7(3) = 90-21 = 69

Answer:

2:30 PM

Step-by-step explanation:

3 1/2 hours after 11 am is 2:30 pm.

Answer:

coplete the table by filling in the estimated and actual elapsed time.

Answer:

C

Step-by-step explanation:

[tex]65=\frac{(360-x)-(x)}{2}[/tex]

130=360-2x

2x=230

x=115

Answer:

The answer is 15/37.

Step-by-step explanation:

There are 15 girls who like starwberry icecream, and the total of girls is 37.

So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.

Answer:

½

Step-by-step explanation:

first do ⅚-²/7

then take lcm of 6 and 7

then do multiply

Answer:

5/21

Step-by-step explanation:

Numerator 5 times the Numerator 2(which equals 10) over denominator 6 times denominator 7 (which equals 42) will give 10/42. Break it down by dividing both denominator and Numerator by 2 to get the final answer

The predicted attendance if Temperature is 90 degrees will be 9750.

From the information given, the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature.

The predicted attendance will be:

= 16500 - 75(90)

= 16500 - 6750

= 9750

Learn more about equations on:

https://brainly.com/question/2972832

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Answer:

80% chance of winning$100

Step-by-step explanation:

50/1000 , 10/1000

=> 0.05, 0.01

0.05 - 0.01

0.04 ÷ 0.05

0.8 × 100

=> 80%

Answer:

y = $38.97

y = 6.495(5) + 6.495

Step-by-step explanation:

So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.

1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).

(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m

y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b

12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b

so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost

y = 6.495(5) + 6.495

y = $38.97

Answer:

8 17/30

Step-by-step explanation:

First, we will get the sum

4 2/3+ 5 2/5 =

10 1/15

Now we do the subtraction step

10 1/15 - 1 1/2=

8 17/30

Should be your answer^

Answer:

That is right

Step-by-step explanation:

An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.

Answer:

$43.87.

Step-by-step explanation:

let the regular price be x, then

0.75x = 32.9

x = 32.9 / 0.75 = $43.87

Answer:

43.87

Step-by-step explanation:

Let the regular price be T

Answer:

x = 5

Step-by-step explanation:

For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]

Hope it helps you in your learning process.

Answer:

Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,

                             b / sin B = a / sin A

Substituting,

                             b / sin 85.3° = 44 / sin 48°

The value of b from the equation is approximately equal to 59.01.

Answer:

35

Step-by-step explanation:

is correct for ape x

Answer:

Step-by-step explanation:

I take that x to be multiplication.

Combine 240 *3

(80 + 720) ÷ 20    

Combine inside the brackets

80 + 720 = 800

What's left is 800÷ 20

Answer 800 ÷ 20 = 40

Answer:

this polygon is a geometrical figure. Hope this helps you

Step-by-step explanation:

these are many reflective rays that satisfy this condition. The reflection Ray's for ended by the line between a better and it's opposite medpoint satisfy the reflection itself.

One of the reflected rays that meet this condition is shown in the figure above the line between vettex a and the metalpoint of the opposite Edge.

Answer:

Area = 59.8 sq units

Step-by-step explanation:

There is a very convenient area formula for the area of a triangle given two sides and the included angle.

A = 1/2•a•b•sin C°

A = 1/2(11)(11)sin 99°

A = 59.8 sq units

Answer:

520

Please refer the attachment.

Stay safe, stay healthy and blessed.

Have a good day !

Thank you

Answer:

His weekly expense is $12.50.  You did not mention how much he earned but you would subtract the 12.50 to find out how much he earned after his expense.

Step-by-step explanation:

Answer:

zeros are at x = -1, x = 2 and x = -3

continues downward to the left and upward to the right

Step-by-step explanation:

Given function:

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

⇒ (x + 1)(x - 2)(x + 3) = 0

⇒ (x + 1) = 0 ⇒ x = -1

⇒ (x - 2) = 0 ⇒ x = 2

⇒ (x + 3) = 0 ⇒ x = -3

Therefore, the zeros are at x = -1, x = 2 and x = -3

If we expand the brackets of the function we get:

f(x) = (x + 1)(x - 2)(x + 3)

     = (x + 1)(x² + x - 6)

     = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]

[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]

So the correct option is:

"continues downward to the left and upward to the right"

Answer: EF= 16 units

Step-by-step explanation:

I took the test and also EF has to be greater just by looking at the triangle.

Answer:

I tried to draw it out for you

Answer:

14.47 rounded to the nearest whole number is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 is less then 5 so you do not need to go up!

Answer:

Rectangle B

Step-by-step explanation:

Rectangle A:

L × B

3.25 × 6.1

19.825 inches

Rectangle B:

L × B

4.06 × 5.009

20.33654

Answer:

502.4 ft^2.

Step-by-step explanation:

Area of a sector = 1/2 r^2 α   where α = central angle in radians

= 1/2 * 5pi/4 * 16^2

= 502.4 ft^2.