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2 years ago

Please help!! i don’t know how to do this please help asap.

Mathematics

1 answer:

Aleks [24]2 years ago

6 0

X = 40y - 16y^2 - 24

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V=4/3? r^2 Suppose that, for the sphere in the video, instead of being told how fast the radius is changing, we're told that the

grigory [225]

Answer:

$\frac{dr}{dt}=0.01$ cm per second

$\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3$

Volume of sphere is increasing at a constant rate

$\frac{dV}{dt}=4$ cubic centimeters per second

We have to find the rate of radius at which increasing

when r= 10 cm

Differentiating w.r.t time

$\frac{dV}{dt}=\frac{4}{3}\pi\cdot3r^2\frac{dr}{dt}$

$4=4 r^2\frac{dr}{dt}$

$\frac{dr}{dt}= \frac{1}{r^2}=\frac}{1}{(10)^2}=0.01$ cm per second

Now ,we are given that surface area of sphere

$S=4\pir^2$

Differentiate w.r.t time then we get

$\frac{dS}[dt}=8\pir\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi\times 20\times 2$

$\frac{dS}{dt}=320$ cm per second

5 0

3 years ago

What would your salary each year be if you earned $5,000 per week?

choli [55]

Yearly salary would be 240,000 for 5,000 and 48,000 for 1,000 a week

8 0

3 years ago

Can someone please help me with my homework

sladkih [1.3K]

Where

$raduis \: = \: \frac{diameter}{2} \\ diameter \: = \: raduis \: \times \: 2 \\ circumference \: = \: 2\pi \times radius \\ area \: = \: \pi \times {radius}^{2}$

5 0

3 years ago

Trent added water to a pool. It took 3 minutes to add 9 gallons of water. How long would it take to add 18 gallons of water to t

Temka [501]

Answer:

6 minutes

Step-by-step explanation:

Set up the proportion as these two fractions equal to each other

9/3 = 18/x

2. Cross multiply so that 9*x=18*3

3. 9x=54, so now you divide 54 by 9

and this will give you

4. x= 6, so it will take 6 minutes to fill

up the 18 gallon pool

Hope this helped!

8 0

3 years ago

The length of Albert's rectangular are listed below.

trapecia [35]

A. Length - 100 ft Width - 50 ft is the measurement of Tony's backyard.

Albert's Perimeter = 2(l+w) = 2(40+20) = 2(60) = 120 ft.

Tony's Perimeter = 120 ft * 2.5 = 300 ft
Tony's length = 40 ft * 2.5 = 100 ft
Tony's widht = 20 ft * 2.5 = 50 ft

To check tony's perimeter:
P = 2(l + w) = 2 (100 + 50) = 2 (150) = 300 ft.

3 0

3 years ago