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2 years ago

Chang made $144 for 8 hours of work at the same rate how many hours would he have to work to make 234

Mathematics

1 answer:

olganol [36]2 years ago

3 0

Answer:

ben daha küçük olduğum için özür dilerim yapamam 4. sınıfa gidiyorum

Step-by-step explanation:

VE puan kazanmam gerek

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strojnjashka [21]

Answer:

-3,2,5

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2 years ago

The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

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2 years ago

a 5 digit number had the digits 0,5,7,9, and 0. to the nearest thousand, it rounds to 80000 what is the number? explain.

Murljashka [212]

The Number is 79500, since the nearest thousand for 79500 is 80000

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2 years ago

An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?

guapka [62]

3.95 × 3.81 = 15.0485

The road was 15.0485 miles long after the renovation.

Hope this helps!

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3 years ago

Consider the graph at right showing an economy in recession. Aggregate demand is currently at AD0. Equilibrium currently occurs

scoray [572]

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2 years ago