Need help question #3. Show steps please

Need Help Question #3. Show Steps Please

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

We are given:

[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]

Distribute. Recall exponent properties;

[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]

Simplify:

[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.


Related Questions

In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.​

Answers

Step-by-step explanation:

Given interval

0º < x < 360°

tan X = - 0.6745

tan X = tan 146 ° , tan 326

Either

tan X = tan 146

x = 146°

Or

tan X = tan 326°

x = 326°

Therefore the answers are

x = 146° and 326°

Hope it will help :)❤

Helpppppppppppppppp

Answers

The answer is x=21 because it just is

My car magazine reports the numbers of miles driven for different amounts of fas for
Three car. Which car travels the fastest on 1 gallon of gas explain

Answers

Answer:

yes and no a.a

Step-by-step explanation:

Car A travels the fastest on 1 gallon of gas.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.

Consider us solving for the miles per gallon of individual cars

A. miles driven =140

A gallons= 5

x= 140/5

x= 28 miles per gallon

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

answer this asap plsssssssssssssssssssssss

Answers

Answer =6

Step-by-step explanation:

-2 through positive 3, i'm sorry if this is incorrect!


help please, thx <3

Answers

Answer: n=-42

Step-by-step explanation:

Take the given equation

-67 = n - 25

+25       +25

Add 25 to each side to cancel out the negative 25 on the right side

-67 + 25 = -42

n = -42

Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?

Answers

Answer:

increasing sequence of +7

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.

Answers

Answer:

(31.919,42.881)

Step-by-step explanation:

Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.

What is a t-distribution confidence interval?

The confidence interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

For this problem:

The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.

The lower bound of the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]

The upper bound of the interval is:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]

The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

More can be learned about the t-distribution at https://brainly.com/question/16162795

A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?

Answers

Answer:

464 kg butter

Step-by-step explanation:

45% of 320 kg - 144

320+140-464


Valeria operates an orange juice stand. On Monday, she used 4 1/2
Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Valeria use on
Tuesday?

Answers

Answer:

0.37

Step-by-step explanation:

I need help. 18 = a/2

Answers

[tex]a = 36[/tex] ✔

Step-by-step explanation:

[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Um.. would anyone like to help? !

Answers

Answer:

12

Step-by-step explanation:

The function is just saying that 1/3 of a number is 4

Of the list given the only number when you take 1/3 of it equals 4 is 12

There is only one solution

12

Simplify the expression 2(10)+2(x-2)

Answers

Answer:

16 + 2x

Step-by-step explanation:

The answer is 2x+16........ hope this helps

What's all equivalent to 7/8

Answers

Answer:

0.875?

Step-by-step explanation:

I just did 7 divided by 8

Answer:

14/16

49/56

Step-by-step explanation:

I looked it up for you!!!

If each side of the prism is three times longer, what is the volume of that prism

Answers

Answer:

1620 m³

Step-by-step explanation:

To find the answer, we simply have to multiply the three values by three, and then multiply those new values together. 5 x 3 = 15, 4 x 3 = 12, 3 x 3 = 9, Multiply 15 x 12 x 9 and you get 1620.

(P.S. Make sure you put meters cubed [m³]! Some teachers are very picky about that.)

A machine used to fill beverage cans is supposed to supply exactly 16 ounces toeach can, but the actualamount supplied varies randomly from can to can. The machine is calibrated so that the population standard deviation is 0.04 ounces. How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence

Answers

Answer:

48 cans must be sampled.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The machine is calibrated so that the population standard deviation is 0.04 ounces.

This means that [tex]\sigma = 0.04[/tex]

How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?

n cans must be sampled, and n is found when M = 0.015. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]

[tex]0.015\sqrt{n} = 2.575*0.04[/tex]

[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]

[tex]n = 47.2[/tex]

Rounding up, 48 cans must be sampled.

PLEASE HELP ME I WILL GIVE BRAINLIEST

DONT STEAL POINTS PLEASE

Answers

The range would be 8!

Explanation:
The lowest number of the set is 12.
The highest number of the set is 20.

Subtract both to get the range.

20 - 12 = 8

or

20
-12
——
8

The range is 8 or C.

HELP don’t answer of u don’t know ty

Answers

C or Telling now!
Explanation
rollers = 3.00 per issue
international= 4.00 per issue
Telling now = 2.50 per issue
adventures = 3.00 per issue
HAVE A GUD DAY

Answer:

Telling Now magazine costs the least per issue.

Step-by-step explanation:

Cost of Roller's Magazine per issue=$18/6=$3

Cost of International Traveler per issue=$32/8=$4

Cost of Telling Now per issue=$25/10=$2.5

Cost of Greatest Adventures per issue=$36/12=$3

The cost of Telling Now magazine per issue is the least one of all.

Find f(-3) when f(x) = -x + 1​

Answers

Answer:

4

Step-by-step explanation:

so when it says f(x)=-x+1

the x values are constant so what value is in f(x) the value of x goes right into -x+1

f(-3)=-x+1

f(-3)=-(-3)+1

f(-3)=4

Answer:

yea the anwser is 4

(>﹏<)

The surface area of one cube is twice the surface area of a second cube.
What is the ratio of the lengths of their edges?

Answers

Answer:

8:1  

Step-by-step explanation:

Volume of a cube = Length of edge³

So the equation for the small cube is,

V=L³

If the edge of the bigger cube is twice as long as the smaller cubes edge, then the equation for the bigger cube is:

V = (2L)³

  = (2³)L³

  = (8)L³

Combining these two in ratio form:

(8)L³ : (1)L³

You can remove the L³ from each side because they are equal

So the answer is  8:1

The ratio is square root of 2.

A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.

Answers

9514 1404 393

Answer:

  158,000

Step-by-step explanation:

Using the given square feet for x in the equation, we have ...

  y = 0.071×1483 +52.48 = 157.773

We presume this is supposed to represent the estimated value of the house in thousands.

The fair price is estimated to be 158,000.

what is the difference in hours and minutes between these times 10:35 2:40

Answers

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Mary has a garden shaped like the figure below. The drawing is not to scale.
22 ft
18 ft
18 ft
11 ft
14 ft
5 ft
What is the area of the garden?

Answers

Answer:

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

14 x 5=70

22 x 4 = 88

14 x 6 =84

84/2= 42

70 + 88 + 42 = 200

find an ordered pair (x, y) that is a solution to the equation 4x-y=5​

Answers

Answer:

An ordered pair that is a solution to the equation is (2,3).

Step-by-step explanation:

To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.

4x-y=5​

Using y = 3

4x - 3 = 5

4x = 8

x = 8/4 = 2

An ordered pair that is a solution to the equation is (2,3).

Which angle measure is a complement of an angle whose measure is 62 degrees?

A 96
B 118
C 16
D 28

Answers

A 96 dint trust me tho
I not sure that’s the answer I got thi

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

the first one help please asap, i will mark as brainliest

Answers

Answer:

They originally paid $28,750

Source:

Trust me bro, I used a calculator

59,000-1500= 57,500/2=28,750

Need help question #4. Show steps please

Answers

Answer:

C.

Step-by-step explanation:

We are given the integral:

[tex]\displaystyle \int_1^2\frac{x^7-4x^3+6}{x^2}\, dx[/tex]

And we want to select its equivalent form.

We can simply divide the fraction. Therefore:

[tex]=\displaystyle \int_{1}^2\frac{x^7}{x^2}-\frac{4x^3}{x^2}+\frac{6}{x^2}\, dx[/tex]

Simplify:

[tex]\displaystyle =\int_1^2 x^5-4x+6x^{-2}\, dx[/tex]

Our answer is C.

WHAT'S 675 DIVIDED BY 8 HELPPPP PLEASE TELL ME THE NUMBERS TO SHOW MY WORK​

Answers

Answer:

85.625 is the answer

Step-by-step explanation:

or, 85 whole 5/675

675/8 = 84.375

8•8 = 64
67-64 = 3

bring the 5 down.

you get 35

8•4 = 32

35-32 = 3

The answer is 84 R 3

SOME ONE PLS HELP ME ASAP OP THE TEACHER CALLED ON ME AND SHE SAID THAT I HAVE 5 MINS TO FIGURE THIS OUT ​

Answers

Answer:

a F

Step-by-step explanation:

Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.

If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10[tex]^{-5}[/tex] which is F.

Answer:

option A F is the answer

3.6 x 10^-5

Step-by-step explanation:

i have a tip for you,

if the number is smaller starting with 0.000....

then the exponent will be a negative number

what about this one. pls help me

Answers

Answer:

54

Step-by-step explanation:

486(1/9)

Answer:

I believe it’s 54 more people

Step-by-step explanation:

Because if you divide 486 by 9 you get 54. 54 multiplied by 2 equals 108. So 108 voted for ice cream. While only 54 voted for frozen yogurt. Hope this helps

Find the perimeter and area of the figure​

Answers

Answer:

C.

Step-by-step explanation:

C. is the only answer option with the correct perimeter of 18u

area is correct too

Answer:C

Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.

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