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3 years ago

No links!!! What’s answer for 14? And the rest. Hurry

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

11. True
12. False
13. False
14. True

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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 is the sum of the geometric series?<br> 24-27-3)*-1

Nostrana [21]

Answer:

6 ?

Step-by-step explanation:

3 0

3 years ago

Estimate the number of people who can stand in an area that is 400yds X 600yds if 19 people can fit into a space that is 10ft X

Sergeeva-Olga [200]

Answer:

3428

Step-by-step explanation:

So 19 people can fit is 70 ft^2, then 3428ppl can fit.

8 0

4 years ago

Last year Tamera made $42,786 how much did she make each month

LUCKY_DIMON [66]

42,786 divided by 12 = 3,565.5

5 0

4 years ago

Malika's rectangular garden is enclosed with 24 m of fencing.

olasank [31]

The greatest possible area with a fixed length of fencing (perimeter) is a circle.

Circumference = 2 pi x radius = 24 m
Radius = (24 m) / (2 pi) = 12 m / pi

Area of a circle = pi x radius squared = (pi) x (12 m / pi)^2 = 144 / pi = 45.837 square meters.
=====================================
The rectangle with the greatest possible area for a fixed perimeter is the square.

Each side of the square = 24 / 4 = 6 meters

Area of a square = (side) squared = 36 square meters
=====================================
There is no 'least possible' area. The longer and skinnier you make it,
the less area it will have.

Here are some examples. Each one has 24 m of fencing:

5 m x 7 m = 35 square meters
4 x 8 = 32 square meters
3 x 9 = 27 square meters
2 x 10 = 20 square meters
1 x 11 = 11 square meters
0.5 x 11.5 = 5.75 square meters
0.1 x 11.9 = 1.19 square meters
1 centimeter x 11.99 meters = 0.1199 square meters
1 millimeter by 11.999 meters = 0.011999 square meters

The longer and skinnier the garden is, the less area it has.

3 0

4 years ago