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3 years ago

Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas?

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

A. 6*3*4=12*2*3 = 72
Surface area =
2(6*3) + 2(3*4) + 2(6*4) not equal to 2(12*2) + 2(12*3) + 2*(2*3)

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Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. If f(t) = A e^{-k t}, write a definite i

8_murik_8 [283]

Answer:

$V_{total} = \displaystyle\int_0^{60} A e^{-k t}~dt$

Step-by-step explanation:

We are given the following in the question:

Oil leaks out of a tanker at a rate of r = f(t) liters per minute, where t is in minutes.

$f(t) = A e^{-k t}$

Let V be the volume, then we are given that rate of leakage is:

$\displaystyle\frac{dV}{dt} = f(t) = A e^{-k t}$

Thus, we can write:

$dV = f(t).dt = A e^{-k t}~dt$

We have to find the a definite integral expressing the total quantity of oil which leaks out of the tanker in the first hour.

Thus, total amount of oil leaked will be the definite integral from 0 minutes to 60 minutes.

$dV =A e^{-k t}~dt\\V_{total} = \displaystyle\int_a^b f(t)~dt\\\\a = 0\text{ minutes}\\b = 60\text{ minutes}\\\\V_{total} = \displaystyle\int_0^{60} A e^{-k t}~dt$

The units of integral will be liters.

5 0

3 years ago

There were two trees growing seeds in a backyard. One tree grew at a rate of 1/2 a foot every 2 years. The other grew 4 inches e

denis-greek [22]

Answer:

20 in

Step-by-step explanation:

Tree 1:

Rate of growth = (½ ft/2 yr)

12 yr growth = 12 × (½/2)

= 6/2

= 3 ft

= 36 in

Tree 2:

Rate of growth = (4 in/3yr)

12 yr growth = 12 × (4/3)

= 48/3

= 16 in

Difference:

Tree 1 - Tree 2 = 36 - 16

= 20 in

The trees will differ in height by 20 in.

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4 years ago

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katovenus [111]

Answer:

112.249

I added more places after the decimal in case you need to round it.

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3 years ago

Gary went to the farmer's market on Saturday. He has no more than

kkurt [141]

Answer:

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Step-by-step explanation:

He cant spend more than 48.00 so he'll have to spend less than or equal to 48.00

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3 years ago

The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point

FrozenT [24]

Answer:

$(-2,\, 0)$ .

Step-by-step explanation:

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