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3 years ago

Please help me experts answering these two questions!!!!

Mathematics

1 answer:

kondor19780726 [428]3 years ago

5 0

Answer:

7) 10cm

8) 4 feet

Step-by-step explanation:

formula for the volume of a cylinder is Πr2h (pie * square of radius * height)

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A certain ball is dropped from a height of x feet. It always bounces up to 2/3 x feet. Suppose the ball is dropped from 10 feet

galina1969 [7]

Given that if a ball is dropped from x feet, it bounces up to 2/3 x feet.

And the ball is dropped from 10 feet, that is x=10 feet,

So,before the first bounce it travels 10 feet distance.

Between first and second bounce it travels $\frac{2}{3}* 10 + \frac{2}{3} * 10 = 20*(\frac{2}{3})$

Between second and third bounce, it travels $20*(\frac{2}{3})^{2}$

Between third and fourth bounce, it travels $20*(\frac{2}{3}) ^{3}$

Like that between 29th and 30th bounce, it travels $20*(\frac{2}{3} )^{29}$

Hence total distance traveled is

$10+20*(\frac{2}{3} )+20*(\frac{2}{3})^{2} + 20*(\frac{2}{3}) ^{3}+......+20*(\frac{2}{3})^{29}$

= $10+20[(\frac{2}{3}) +(\frac{2}{3}) ^{2} +(\frac{2}{3}) ^{3} +.....+(\frac{2}{3} )^{29} ]$

= $10+20[\frac{\frac{2}{3}*(1-(\frac{2}{3})^{29}) }{1-\frac{2}{3} }]$

= 10+20*2*(1- $(\frac{2}{3}) ^{29}$ )

= 49.9997 feet ≈ 50 feet approximately.

7 0

3 years ago

Read 2 more answers

The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. (a) What is

Liula [17]

Answer:

a brand x = 13 (median ) brand y = 16 median

4 0

3 years ago

Simplify -7x - (15y) + 3x - 2y

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

combine like terms

-7x + 3x - 15y - 2y

-4x - 17y

3 0

3 years ago

Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for t

Alex787 [66]

The differential equation that models the given situation will be dy/dt = K(N - y).

<h3>How to compute the equation?</h3>

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

3 0

2 years ago

Solve for x: 4(x-2)+6=2(5x-6)

Katarina [22]

4(x - 2) + 6 = 2(5x - 6) <em>use distributive property</em>

(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)

4x - 8 + 6 = 10x - 12

4x - 2 = 10x - 12 <em>add 2 to both sides</em>

4x = 10x - 10 <em>subtract 10 from both sides</em>

-6x = -10 <em>divide both sides by (-6)</em>

x = 10/6

8 0

3 years ago

Please help me experts answering these two questions!!!!​

Please help me experts answering these two questions!!!!