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3 years ago

How to solve 8(y+2.4) if y equals 0.3

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

Answer:

21.6

Step-by-step explanation:

To solve for expressions with variables, substitute the variable's value is where the variable is in the expression.

The variable is y, and y's value is 0.3

Substitute y for 0.3

8(y+2.4)

= 8(0.3+2.4)

Now solve by following BEDMAS (brackets, exponents, division, multiplication, addition, subtraction).

= 8(0.3+2.4) <=Solve the brackets by adding

= 8(2.7) <= multiply

= 21.6

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2 years ago

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3 years ago

PLEASE SHOW WORK

CaHeK987 [17]

(C)

Step-by-step explanation:

The volume of the conical pile is given by

$V = \dfrac{\pi}{3}r^2h$

Taking the derivative of V with respect to time, we get

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

$\:\:\:\:\:\:\:= \dfrac{\pi}{3}\left(2rh\dfrac{dr}{dt} + r^2\dfrac{dh}{dt}\right)$

Since r is always equal to h, we can set

$\dfrac{dr}{dt} = \dfrac{dh}{dt}$

so that our expression for dV/dt becomes

$\dfrac{dV}{dt} = \dfrac{\pi}{3}\left(3r^2\dfrac{dh}{dt}\right)$

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Solving for dh/dt, we get

$\dfrac{dh}{dt} = \dfrac{1}{\pi r^2}\dfrac{dV}{dt}$

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$\:\:\:\:\:\:\:= \dfrac{4}{\pi}\:\text{m/s}$

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3 years ago