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3 years ago

ILL GIVE BRANLIEST AND MANY POINTS

Mathematics

1 answer:

viva [34]3 years ago

3 0

Percent change formula:

C = x - x

2 1 / x

To calculate percent change we need to take the difference between the starting value and final value, divide by the absolute value of the starting value, and multiply the result by 100.

1. 72 is a 33.333% decrease of 108. Round is 33%.

2. 90 is a 20% increase of 75. Round is 20%.

3. 49 is a 75% increase of 28. Round is 80%.

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Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0

3 years ago

Complete the table. Explain how the Output number is related to the Input number.

krok68 [10]

9514 1404 393

Answer:

output: 24, 25, 26, 27, 28

Step-by-step explanation:

The output expression tells you that the output is 23 more than the input.

1 + 23 = 24

2 + 23 = 25

3 + 23 = 26

4 + 23 = 27

5 + 23 = 28

The table values are ...

5 0

3 years ago

Solve for a<br><br> =50=15a<br> Simplify your answer as much as possible.

Ivan

3.3333333333..... is the answer

4 0

3 years ago

Read 2 more answers

A phone company charges $0.06 per minute for local calls and $0.15 per minute for international calls. When your bill comes, it

Tpy6a [65]

Answer:

781.92

Step-by-step explanation:

4 0

3 years ago

Solve the simultaneous equation using substitution method x-y=8 and 4x+y=4

aleksklad [387]

x - y = 8

Add y to both sides

x = 8 + y

4x + y = 4

Substitute the value of x from the first equation in

4(8 + y) + y = 4

Simplify and solve

32 + 4y + y = 4

32 + 5y = 4

5y = -28

y = -5.6

Now put that value of y into the first equation

x = 8 + (-5.6)

x = 2.4

7 0

3 years ago