2 years ago

A student-faculty government committee of 4 people is to be formed from 20 student

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

6 0

the answer is c i just had this question your welcome

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The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

4 0

2 years ago

Pls help me I need it pls!! I only need the last question which is "Find the weight of one circle. Show or explain how you got y

r-ruslan [8.4K]

Answer: 25/4=6.25

Explanation:
4w=25
w=25/4=6.25

(I am assuming that the circles and the block are equal, some of the picture got cut off.)

5 0

2 years ago

You're making cookies for a party. 1 of every 20 cookies falls apart. if you make 40 cookies how many will fall apart?

vlabodo [156]

On average, 2 will fall apart. We can tell this by making a proportion.

1/20 = x/40 ---> cross multiply
1*40 = 20*x ---> multiply
40 = 20x ----> divide by 20
2 = x

4 0

2 years ago

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Find the missing side. <br> Need help please.<br> Need to show how to get the answer.

Nutka1998 [239]

Answer:

Step-by-step explanation:

7 0

2 years ago

snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the origi

Alika [10]

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

8 0

2 years ago