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Ugo [173]
3 years ago
5

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

Mathematics
1 answer:
Dahasolnce [82]3 years ago
7 0

Answer:

Indefinite integral of the expression will be 16lnx+16x

Step-by-step explanation:

We have given expression I=\int( \frac{16}{\sqrt{x^2}}+16)dx=\int (\frac{16}{x}+16)dx

We have to integrate this function

So I=\int( \frac{16}{\sqrt{x^2}}+16)dx=\int (\frac{16}{x}+16)dx=\int (16x^{-1}+16)dx

I=\int (16x^{-1}+16)dx=16lnx+16x

So indefinite integral of the expression will be 16lnx+16x

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In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to
solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

5 0
3 years ago
The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used
AlexFokin [52]

Answer:

<u> 105</u> students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be 12x.

And the students prefer kiwi be 5x.

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

12x+5x=357

17x=357

<em>Dividing both sides by 17 we get:</em>

x=21.

<em>Thus, students prefer kiwi are:</em>

5x

=5\times 21=105.

Therefore, 105 students could prefer kiwi if there are 357 total students.

3 0
2 years ago
Evaluate (x + y)for x= -3 and y= 5.<br> A.-1/2<br> B.0<br> C.1<br> D.2
bazaltina [42]
It’s D
Proof:
(-3 + 5 = 2)
7 0
2 years ago
Read 2 more answers
Is this a quadratic function 2x+13=13
lys-0071 [83]

Answer:

Step-by-step explanation:

Simplifying

2x + 13 = 0

Reorder the terms:

13 + 2x = 0

Solving

13 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 2x = 0 + -13

2x = 0 + -13

Combine like terms: 0 + -13 = -13

2x = -13

Divide each side by '2'.

x = -6.5

Simplifying

x = -6.5

7 0
1 year ago
Mark ran 875 miles this year in the track club.Mark ran in 52 track meets and ran the same number of miles in each.How many mile
shepuryov [24]

Answer:

The number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

Step-by-step explanation:

Let us assume that the number of miles Mark run in each track meet be x.

As given

Mark ran 875 miles this year in the track club.

Mark ran in 52 track meets and ran the same number of miles in each.

Than the equation becomes

52 × x = 875

x = \frac{875}{52}

x = 16 \frac{43}{52}\ miles

Therefore the number of miles Mark runs in each track be 16 \frac{43}{52}\ miles

7 0
3 years ago
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