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2 years ago

Can someone explain how to solve this?

Mathematics

1 answer:

Dmitrij [34]2 years ago

4 0

9514 1404 393

Answer:

(2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

u = e^t +1

Then du = e^t and you are finding the integral of ...

∫u^(1/2)·du

which you know by the power rule is ...

(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

You might be interested in

What is the interquartile range (IQR) of the following data set?

OleMash [197]

Answer:

Step-by-step explanation:

Arrange data set

19, 4, 17, 3, 6, 5,5, 3, 11, 12, 3, 7, 15, 8, 8, 10,5, 3, 12, 41, 36

in ascending order

3, 3, 3, 3, <u>4, 5,</u> 5, 5, 6, 7, 8, 8, 10, 11, 12, <u>12, 15,</u> 17, 19, 36, 41

The median is $Q_2=8$

$Q_1=\dfrac{4+5}{2}=4.5$

$Q_3=\dfrac{12+15}{2}=13.5$

Thus, the interquartile range is

$Q_3-Q_1=13.5-4.5=9$

4 0

3 years ago

The function g is defined as follows for the domain given. g(x) = 2 - 2x , domain = \{- 1, 0, 1, 2\} Write the range of g using

Musya8 [376]

Explanation:

The function is given below as

$g(x)=2-2x$

The set of domains is given below as

$\lbrace-1,0,1,2\rbrace$

Step 1:

Put x=-1

$\begin{gathered} g(x)=2-2x \\ g(-1)=2-2(-1) \\ g(-1)=2+2 \\ g(-1)=4 \end{gathered}$

Step 2:

Put x=0

$\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}$

Step 3:

Put x=1

$\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}$

Step 4:

Put x=2

$\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}$

Hence,

The range of g(x) using set notation will be

$\Rightarrow\lbrace4,2,0,-2\rbrace$

Hence,

The graph of g(x) is given below as

8 0

1 year ago

Select the equation in slope-intercept form that is equivalent to: 4x + 3y = 12

sattari [20]

Answer:

y = -4/3x +4

Step-by-step explanation:

y= mx+b

solve for y.

4x+3y=12

Step 1: Add -4x to both sides.

4x+3y+−4x=12+−4x

3y=−4x+12

Step 2: Divide both sides by 3.

Let's solve for y.

4x+3y=12

Step 1: Add -4x to both sides.

4x+3y+−4x=12+−4x

3y=−4x+12

Step 2: Divide both sides by 3.

3y / 3 =-4x +12 /3

y = -4/3x +4

hopes this helps you out

5 0

3 years ago

Regina spent $45.50 over 612 months on music downloads.

krok68 [10]

Answer:

.07 cents

Step-by-step explanation:

In order to solve this question all you need to do is divide the money spent by the amount of months. 45.50/612=0.0743464052 but since you cant spend .0043464052 of a cent we have to change the answer to .07. To check our answer is right all we need to do is multiply 0.0743464052 by 612=45.499999 so we know the answer is correct.

7 0

3 years ago

Read 2 more answers

Jimmy loaded three bags of sand into his wheelbarrow. The bags weighed 24

Rudik [331]

The whole numbers add up to 100. So now we are left with 1/2 or 0.5, 3/5 or .60, and 1/8 or .125. Those add up to 1.225 so the amount of sand in pounds in the wheelbarrow is 101.225. Hope I helped! If you have any questions just leave a comment.

3 0

3 years ago