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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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On February 4th, Jamie and Kevin jogged together.
ludmilkaskok [199]

Find the common multiples of 3 and 4:

3: 3, 6, 9 12, 15

4: 4, 8, 12, 16

The smallest common multiple for both 3 and 4 is 12, so this means every 12 days they would run together.

Add 12 days to February 4th to get February 16th.

7 0
4 years ago
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach
frozen [14]
Write and solve an equation of ratios:

900 students      45 teachers         
------------------  = -----------------  
          x               110 teachers     

Cross multiplying, we get (900)(110) / 45, or

                                                                 
so x = # of students in the high school = 2200   (answer)
                                                                    
8 0
4 years ago
Read 2 more answers
4 1/2 ​ ÷(−1 3/7​ ) please help and hurry
myrzilka [38]

Hi! I'm happy to help!

To first solve this, we need to make those mixed numbers improper fractions.

To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.

\frac{9}{2}​ ÷(−1\frac{3}{7}​ )

Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.

\frac{9}{2}​ ÷(−\frac{10}{7}​ )

From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.

\frac{9}{2}​ ×(−\frac{7}{10}​ )

Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)

-\frac{63}{20}

<u>Since we cannot simplify, our final answer is -63/20.</u>

I hope this was helpful, keep learning! :D

6 0
3 years ago
Read 2 more answers
A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select ano
IgorC [24]

Answer:

Step-by-step explanation:

Total fruits T= 5+7 = 12

No. Of apple n(A) = 5

No. Of peaches n(P) = 7

P(A) 1st = n(A)/T = 5/12

P(P) 2nd = n(p)/(T-1) = 7/11

: P(A and P) = 5/12 × 7/11

= 35/132

4 0
3 years ago
Jason's piggy bank contained $5.70 in nickels and pennies. If there were 30 more pennies than nickels, how many of each did he h
ValentinkaMS [17]

Answer:

98 nickles and 128 pennies

Step-by-step explanation:

You probably can't read my hand writing but I spent like, 15 minutes on this. This is the correct answer, but I don't know how to explain how it is but I promise it is!

8 0
3 years ago
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