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yawa3891 [41]
3 years ago
10

Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral.

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

Value of the integral will be equal to \frac{x^2}{2}+15x+c

Step-by-step explanation:

We have given the expression \int( \sqrt{x^2}+15)dx

We have to find the integral of the given expression

So \int( \sqrt{x^2}+15)dx=\int (x+15)dx

Now integrating

\int (x+15)dx=\frac{x^2}{2}+15x + c

So value of the integral will be equal to \frac{x^2}{2}+15x+c

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Step-by-step explanation:

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Simplified: 40

Step-by-step explanation:

To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says: x^{a+b} =x^ax^b We can do this same thing to simplify this expression. Next, we can simplify each of these terms. 2^2 simply becomes 4. In the other term, the 2^{log_2} simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40

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One group (A) contains 435 people. One-third of the people in group A will be selected to win $20 fuel cards. There is another g
d1i1m1o1n [39]

Answer:

The ratio of non-winners in group A is 3/5 and in group B is 527/579. And the ratio of non-winners in group A to non-winners in group B will be 78/527.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

People in group A = 130

People in group B = 579

People in group A that will be selected to win US$ 50 fuel cards = 2/5

People in group B that will be selected to win US$ 50 fuel cards = same amount that group A

2. What will be the ratio of non-winners in group A to non-winners in group B after the selections are made?

Group A

If winners are 2/5, non-winners will be 1 -2/5

1 - 2/5 = 5/5 - 2/5 = 3/5

Now, let's calculate the number of winners:

2/5 * 130 = 52 winners ⇒ 78 non-winners

Group B

Number of winners = 52 (Same amount that group A)

Ratio of winners = 52/579

Ratio of non-winners = 1 - 52/579 = 579/579 - 52/579 = 527/579

The ratio of non-winners in group A is 3/5 and in group B is 527/579. And the ratio of non-winners in group A to non-winners in group B will be 78/527.

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3 years ago
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