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MAXImum [283]
3 years ago
12

A survey revealed that 31% of people are entertained by reading books, 39% are entertained by watching TV, and 30% are entertain

ed by both books and TV. What is the probability that a person will be entertained by either books or TV
Mathematics
1 answer:
tester [92]3 years ago
3 0
1% entertained by books
9% entertained by TV
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All the edges of a cube are expanding at a rate of 4 in. per second. How fast is the volume changing when each edge is 10 in. lo
Greeley [361]

Given:

All the edges of a cube are expanding at a rate of 4 in. per second.

To find:

The rate of change in volume when each edge is 10 in. long.

Solution:

Let a be the edge of the cube.

According to the question, we get

\dfrac{da}{dt}=4\text{ in./sec}

a=10\text{ in.}

We know that, volume of a cube is

V=a^3

Differentiate with respect to t.

\dfrac{dV}{dt}=\dfrac{d}{dt}a^3

\dfrac{dV}{dt}=(3a^2)\times \dfrac{da}{dt}

Putting the given values, we get

\dfrac{dV}{dt}=(3(10)^2)\times 4

\dfrac{dV}{dt}=3(100)\times 4

\dfrac{dV}{dt}=300\times 4

\dfrac{dV}{dt}=1200\text{ in}^3\text{/sec}

Therefore, the rate of change in volume 1200 cubic inches per second.

5 0
3 years ago
Write 4 3/7 as a decimal.
kap26 [50]

Step-by-step explanation:

4.04285.

Hope it helps

have a great day

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3 years ago
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Picture above 9th grade math (please include properties and steps) will mark brainly thank you!
Nezavi [6.7K]

Answer:

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Step-by-step explanation:

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3 years ago
What is 8.2 divided by 2.87
igor_vitrenko [27]
8.2/2.87 
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:)

Hope this helps!
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Factor the expression. 35g2 – 2gh – 24h2
klasskru [66]
A. 7g-5g=6-4
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g=2/2
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7 0
4 years ago
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