All categories

3 years ago

Help with number 16 (15 points!)

Mathematics

1 answer:

masha68 [24]3 years ago

6 0

Answer:

-5≥x≤-1

Step-by-step explanation:

comment if you would like an explanation for this.

You might be interested in

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

What is the value of x

Liula [17]

Answer:

Two values have to be given to find the value

7 0

3 years ago

Help would be nice thank you!

Helen [10]

Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer.

4 0

3 years ago

Please help i'm really stuck on this! thank you :)

Fudgin [204]

The answer is b ,e if is a to answe wuestion

7 0

3 years ago

What is the equation for a horizontal line across -2

Andrej [43]

Answer:

y=-2

Step-by-step explanation:

5 0

4 years ago