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SOVA2 [1]
3 years ago
5

Evaluate each expression. (14 - 2) ÷ (5 + 3(-2 + 1))

Mathematics
2 answers:
inn [45]3 years ago
6 0

Answer:

Step-by-step explanation:

(14-2) =12

(5+3(-2+1))= 5+3(-1)) =5+(3×(-1))

= 5+(-3) =5-3=2

Substitute the values if the expressions above into the original expression

(14-2)÷(5+3(-2+1)) = 12÷2 =6

rodikova [14]3 years ago
3 0

Answer:

6

Step-by-step explanation:

(12)÷(5+3 (-1)

12÷(5-3)

12÷2

6

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Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}

Volume of cone =

V = \dfrac{1}{3}\pi r^2 h

where r is the radius and h is the height of the cone.

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Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})

Putting values, we get,

\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Read 2 more answers
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