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s344n2d4d5 [400]
3 years ago
7

Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?

Mathematics
1 answer:
Serggg [28]3 years ago
8 0
The area is given by

\displaystyle\int_1^4(x^{1/2}+2)\,\mathrm dx=\left(\frac23x^{3/2}+2x\right)\bigg|_{x=1}^{x=4}=\dfrac{40}3-\dfrac83=\dfrac{32}3=10+\dfrac23

so the answer is B
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A small theater sold 72 tickets for a play. The ratio of adult tickets to child tickets was 4:1. The ratio of adult tickets to s
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Answer:

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Step-by-step explanation:

We have 3 types of tickets as seen from the question;

Adult, children and seniors tickets.

Now, looking at the question critically,

Since the ratio of adults to children and senior citizens stands at 4: a specific value, we can then conclude that the ratio of tickets sold is 4:1:3

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So let’s calculate the individual ratio now.

For the total, we have 4 + 1 + 3 = 8

Thus, for the adults, we have 4/8 * 72 = 36

For the children, we have 1/8 * 72 = 9

For the seniors, we have 3/8 * 72 = 27

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