Evaluate x[tex]x^{2} \sqrt{(x^3+9)}[/tex]with subsititution using u=x^3+9

Answers

Answer 1

It sounds like you're talking about an integral, namely

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx[/tex]

Substitute u = x ³ + 9, so that du = 3x ² dx. Then

[tex]\displaystyle\int x^2\sqrt{x^3+9}\,\mathrm dx=\frac13\int\sqrt{u}\,\mathrm du=\frac13\times\frac23u^{\frac32}+C=\boxed{\frac29(x^3+9)^{\frac32}+C}[/tex]


Related Questions

Witch is larger? 1/3 or 3/9

Answers

1/3 give me branliesttt

Answer:

they are equal

Step-by-step explanation:

1/3 to a decimal is 0.333

3/9 is 0.333

so they are the same the person above me is wrong

The drawing below shows the dimensions of Kim’s kite.

What is the are of Kim’s
kite?
F 32 square inches
G 48 square inches
H 96 square inches
J 120Square inches

Answers

I believe it is choice G.

it's that one

Step-by-step explanation:

okayyy so uhh

A recipe for oatmeal which serves 4 people uses 3 cups of rolled oats.
How many cups of rolled oats will be used for oatmeal which serves 6 people?
O A. 2 cups
OB. 2 cups
Oc. 4 41
cups
D. 5 cups
o
E. 8 cups

Answers

The 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A recipe for oatmeal that serves 4 people uses 3 cups of rolled oats.

Let's suppose the x number of cups will be used to serve 6 people.

Mathematically,

4 people use 3 cups

6 people use x cups. then:

[tex]\frac{4}{6} =\frac{3}{x}[/tex]

4x = 6×3  (after cross multiplication)

4x = 18

x = 4.5   (divide by 4 on both sides)

[tex]\rm x=4\frac{1}{2}[/tex]

Thus, the 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

whos ur celeb crush I need to know mines is the actor of wanda

Answers

Answer:

Same!!!!!!!!!!!

Step-by-step explanation:

Answer:

mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor

5 divided by 1/4
go straight to the answer

Answers

Answer:

20

Step-by-step explanation:

D. If the scale factor for the dilation of the figure is 0.9, then the dilation is an enlargement

Answers

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?

Answers

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

How to calculate LCD TV depreciation?

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39

Learn more about depreciation in: https://brainly.com/question/15085226

#SPJ1

A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins

Answers

Answer:

A

Step-by-step explanation:

2.34 divided by 6 so then that gives you o.39

a survey of students at a university shows that 3 out of 5 drink coffee. of the students who drink coffee, 1 out of 8 adds cream to it. if the university has 12,000 students, find the number of students who drink coffee with cream

Answers

Answer:

900 students

Step-by-step explanation:

3/5 of 12,000 = 7,200 who drink coffee

1/8 x 7,200 = 900 who drink coffee with cream

how does a toad reassemble a fish​

Answers

Answer:

they do- here's how (i think)

Step-by-step explanation:

a toad has similar features- think about it.

a toad has gills since it needs to stay underwater for the time being

so do fish

they have a tail to let them swim around and direct themselves to which area they're going to.

fish also do the same!

hope this helps!:)

How to get from 40 to 5 in two steps

Answers

Answer:

Step one: say "5"

Step two: say "40"

Done.

Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:

A)

(4, –3)

B)

(–3, –2)

C)

(5, 0)

D)

(0, –5)

Answers

9514 1404 393

Answer:

  D)  (0, -5)

Step-by-step explanation:

A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.

__

If we consider only the case of x=0, then the solution space reduces to ...

  -8 < y ≤ 4 . . . . . the constants of the two inequalities

Here, it is easy to see that y=-5 is in the solution space.

  (0, -5) is a solution

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

I would believe 90* clockwise.

Step-by-step explanation:

It rotated 90* to be located on its side.

Find the slope of the line -2x - 5y = 10

Answers

Answer:

-2/5

Step-by-step explanation:

To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.

=================================================================

Add 2x to both sides. [Addition Property of Equality]

-2x - 5y = 10

+2x         +2x

-------------------

-5y = 2x - 10

Divide -5 on both sides. [Division Property of Equality]

-5y/-5 = 2x/-5 - 10/-5

y = -2/5 x + 2

Comparing to y = mx + b form, we see that our m value, or slope is -2/5

--------------------------------------------------------------------------------------------------------------

m= -2/5

=================================================================

Hope I Helped, have a fantastic day!

                  -Aadi x

Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance

Answers

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

[tex]n_1 = 25[/tex]

[tex]n_2 = 21[/tex]

[tex]s_1 = 0.98[/tex]

[tex]s_2 = 1.02[/tex]

[tex]\alpha = 0.02[/tex]

Required

Determine if here is enough evidence

First, we need to state the hypotheses

[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]

[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]

Next, calculate the test statistic using:

[tex]F = \frac{s_1^2}{s_2^2}[/tex]

[tex]F = \frac{0.98^2}{1.02^2}[/tex]

[tex]F = 0.923[/tex]

Calculate the rejection region;

But first, calculate the degrees of freedom

[tex]df_1 =n_1 - 1[/tex]

[tex]df_1 =25 - 1[/tex]

[tex]df_1 =24[/tex]

[tex]df_2 = n_2 -1[/tex]

[tex]df_2 = 21 - 1[/tex]

[tex]df_2 = 20[/tex]

Using the F Distribution:  table

[tex]c = \frac{\alpha}{2}[/tex]

[tex]c = \frac{0.02}{2}[/tex]

[tex]c = 0.01[/tex]

At 0.01 level (check row 20 and column 24), the critical value is:

[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound

At 0.01 level (check row 24 and column 20), the critical value is:

[tex]f_{0.01,20,24} = 2.74[/tex]

Calculate the inverse F distribution.

[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound

The rejection region is then represented as:

[tex]0.365 < Test\ Statistic < 2.86[/tex]

If the test statistic falls within this region, then the null hypothesis is rejected

[tex]F = 0.923[/tex] --- Test Statistic

[tex]0.365 < 0.923 < 2.86[/tex]

The above inequality is true; so, the null hypothesis is rejected.

This implies that, there is no sufficient evidence.

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.

What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?

A. 4
B. -4
C. -6
D. 6

Answers

Answer:

D. 6

Step-by-step explanation:

M is midpoint of LP and N is midpoint of MP

Use midpoint formula:

x = (x₁ + x₂)/2

Find x-coordinate of M:

x = (-3 + 9)/2 = 3

Find x-coordinate of N:

x = (3 + 9)/2 = 6

Correct choice is D

Biased or Random?

Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.

Answers

The correct answer is random because he’s asking the first 80 7th grade students that enter the school instead of picking select students such as his friends

someone please help me asnwer this!!

Answers

Answer:

5 units is the answer.

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(8-8)^2 + (9-4)^2}\\\\d=\sqrt{(0\\)^2+(5)^2} \\\\d=\sqrt{25} \\\\d=5 \\\\[/tex]

∴ d = 5 units

Solve the equation for s.P-5=3s+8solve for

Answers

Answer:

here you go! i couldnt write it but Goodluck! :)

Step-by-step explanation:


Can someone give me the answer to question 4

Answers

Answer:

105+54=Z [being sum if interior angle of triangle equal to opposite exterior angle]159=Ztherefore,Z=159

What is the solution to the linear equation?
2/3 x-1/2=1/3+5/6x

O x = 5
0 x = 1 - 2
0 x =
O x=5

Answers

[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]

i hope it helps u

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No

Answers

ABC I really need these points thx a lot

help me!!!!!!!!!!!!!
8/7 ( x - 100/220) + 4 ( x + 8/9) = 38

Answers

X = 53/3762 I’m guessing!

Give Brainliest for the correct Answer 50 points

Answers

Answer:

x-30

Step-by-step explanation:

Answer: 5(x-2)=40     5x-10 = 40      5x=50    x=10  

Step-by-step explanation:

^

Jillian picked coins from her piggy bank and recorded the number of coins in the table below.

Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter

Answers

Answer:

1/8

Step-by-step explanation:

There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8

The probability of randomly picking a quarter is P = 0.125

How to get the probability?

If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.

In this case, we have 3 quarters, and a total of:

T = (6 + 7 + 8 + 3) = 24

Then the probability of randomly picking a quarter is:

P = 3/24 = 0.125

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

olve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices {Select All That Apply}

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?​

Answers

Step-by-step explanation:

11 + 7 + 6 + 3 = 27

total amount of pizza = 27

Hawaiian pizza = 3

3/27 = 1/9

what is 3times9 3/5 as a mixed number

Answers

I think I a 24 2/4 not sure though

11. Twelve samples of water form a particular source have an average lead concentration of 12.5µg/L with a standard deviation of 2.0µg/L. 1 (a) Find a 95% confidence interval for the lead concentration in water from this source. (b) Can you conclude that the lead concentration is less than 14µg/L?

Answers

Answer:

a) The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.

b) The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.

Step-by-step explanation:

We have the standard deviation for the samples, which mean that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.201

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.201\frac{2}{\sqrt{12}} = 1.27[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12.5 - 1.27 = 11.23 µg/L.

The upper end of the interval is the sample mean added to M. So it is 12.5 + 1.27 = 13.77 µg/L.

The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.

(b) Can you conclude that the lead concentration is less than 14µg/L?

The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.

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Use the figure to find the measures of the numbered angles. PLZZZ HELPPPP Molo Oil Company produces gasoline, home heating oil, and jet fuel from crude oil in a joint processing operation. Joint processing costs up to the split-off point total $385,000 per month. For financial reporting purposes, the company allocates these costs to the joint products on the basis of their relative sales value at the split-off point. Unit selling prices and total output at the split-off point are as follows: Product Selling Price Monthly Output Gasoline $ 27.00 per gallon 14,400 gallons Heating Oil $ 21.00 per gallon 22,400 gallons Jet Fuel $ 33.00 per gallon 5,600 gallons Each product can be processed further after the split-off point. Additional processing requires no special facilities. 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