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4 years ago

I need help with 3,4 and 5. Please.

Mathematics

1 answer:

anastassius [24]4 years ago

6 0

3 equals 25 because 50/2 =25

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A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

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

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0

3 years ago

42/4 as a whole or mixed number and in simplified form

AlekseyPX

Answer:

10.5

Step-by-step explanation:

42/4 can be reduced by dividing numerator and denominator by 2: 21/2.

This is an improper fraction. One way to obtain the equivalent mixed number would be to multiply numerator and denominator of 21/2 by 5, obtaining 105/10, which reuces to 10.5.

We could also divide 42 by 4 in the usual way, obtaining 10.5.

6 0

3 years ago

Evaluate tan(cos^-1(-15/17))

IrinaK [193]

The answer is -8/15. This is a for sure correct answer.

7 0

3 years ago

Read 2 more answers

Rosey purchased 364 flowers to make centerpieces for a party. There are 13 tables. Each table will have 4 vases with the same nu

Olin [163]

7. honestly not 100% sure. i did 364 divided by 13 which was 28 so 28 flowers per table. and then 28 divided by 4. 7 flowers per vase.

8 0

2 years ago

Can u help me do this

chubhunter [2.5K]

There will be 2 books left over if he fills each box.
7 · 4 = 28
30 - 28 = 2

Good Luck

5 0

3 years ago