PLEASE HELP!! WILL MARK BRAINLIEST!!!
Set up the triple integral for the volume of the sphere ρ=4 in spherical coordinates.

In Cartesian coordinates, the volume is

[tex]\displaystyle \iiint_R \mathrm dV[/tex]

where R is the set

[tex]R = \left\{(x,y,z) \, : \, -4\le x\le4 \text{ and } -\sqrt{16-x^2} \le y \le \sqrt{16-x^2} \text{ and }\right. \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~\left.-\sqrt{16-x^2-y^2} \le z \le \sqrt{16-x^2-y^2} \right\}[/tex]

Converting to spherical coordinates, we take

[tex]\begin{cases}x=\rho\cos(\theta)\sin(\phi) \\ y=\rho\sin(\theta)\sin(\phi) \\ z = \rho\cos(\phi)\end{cases}[/tex]

and we can compute the Jacobian to find

[tex]dV = dx\,dy\,dz = \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

and the set R transforms to

[tex]R' = \left\{(\rho,\theta,\phi) \,:\, 0\le \rho\le4 \text{ and }0\le\theta\le2\pi \text{ and } 0\le\phi\le\pi\right\}[/tex]

The new integral and hence the volume is then

[tex]\displaystyle \iiint_R \mathrm dV = \iiint_{R'} \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi \\\\ = \boxed{\int_0^\pi \int_0^{2\pi} \int_0^4 \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi}[/tex]

Tim bought all of the 2 3/4 lb packages for a party. How many pound of meat did tim buy?

The triangles on the grid below represent a translation.
4
3
0
2
1
b
8
54-32-14
1 2
3
b
8
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
Mark this and return
Save and Exit
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Larry, a chemistry student, needs 10% acetic acid solution for a chemistry experiment. He realizes he only has 5% and 20% acetic acid solutions available. He decides to make the 10% solution by combining the 5% and 20% solutions. How many liters of the 5% solution must he add to 8 liters of the 20% solution to get a solution that is 10% acetic acid?
a) 16.5
b) 32
c) 16
d) 8.5
e) 24

sales representative can take one of 4 different routes from City B to City E and any one of 4 different routes from City E to City H. How many different routes can she take from City B to City H​, going through City E​?

Jed rode his scooter to school at 20 miles per hour and then jogged back at 8 miles per hour. If the round trip took him 7 hours, how many miles was it to school?

Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each customer, the waitress selected one of the index cards without reading it and wrote on the bill the same message that was printed on the card. Twenty of the cards had the message "The weather is supposed to be really good tomorrow. I hope you enjoy the day!" Another 20 cards contained the message "The weather is supposed to be not so good tomorrow. I hope you enjoy the day anyway!" After the customers left, the waitress recorded the amount of the tip (percentage of bill) before taxes. The tips for those receiving the good‑weather message are as follows.

20.8 18.7 19.9 20.6 21.9 23.4 22.8 24.9 22.2 20.3
24.9 22.3 27.0 20.5 22.2 24.0 21.2 22.1 22.0 22.7
The tips for the 20 customers who received the bad weather message are as follows.

18.0 19.1 19.2 18.8 18.4 19.0 18.5 16.1 16.8 14.0
17.0 13.6 17.5 20.0 20.2 18.8 18.0 23.2 18.2 19.4
Click to download the data in your preferred format.

CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt!

Back‑to‑back stemplots of the tips are shown.

Good Weather Tips Bad Weather Tips
13 6
14 0
15
16 1 8
17 0 5
7 18 0 0 2 4 5 8 8
9 19 0 1 2 4
8 6 5 3 20 0 2
9 2 21
8 7 3 2 2 1 0 22
4 23 2
9 9 0 24
25
26
0 27
Because the distributions are reasonably symmetric with no extreme outliers, the procedures will work well.

Is there good evidence that the two different messages produce different percentage tips?

Bruce Rind and David B. Strohmetz, "Effect of beliefs about future weather conditions on restaurant tipping," Journal of Applied Social Psychology, 31 (2001), pp. 2160–2164.
Carry out a two‑sample test. What is the test statistic? Give your answer to three decimal places.

=

What is the -value? Give your answer to three decimal places.

-value:

complete the ordered pair so that it is a solution of 2/3x + y -1 = 0

Find the domain and range of the function graphed below.
Domain:
Range:

Are constant functions periodic? The reason I ask this is because a function is periodic if it has a period but in a constant function the period could be infinitely small.

Select the correct answer. The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where rrepresents the number of roses, /represents the number of lilies, and c represents the number of carnations?​

What would the answer be?

The number is a/an...
국

Unit 6 lesson 10 surface area and volume unit test

help!
Can you please give me the area of this. I would really like it.

Select the correct answer.
Tatum plans to buy some personalized sticky notes for her home office. The graph shows a proportional relationship between the number of packs of sticky notes she can buy and the total price. If Tatum has $30.50 to spend on sticky notes, how many packs can she buy? Assume that she can buy only whole packs.



A. 1
B.2
C.3
D.4

ANSWER FAST I NEED THIS NOWW

Find the area

(Please would mark Brainily

The weights of five different dogs are shown below. What are the minimum and maximum weights? Give your answers in kilograms (kg) Clifford 25kg
Amber 34kg
Beryl 47kg
Poppy 23kg
Toby 31kg
(please I need help right now)​

Show the problem on a number line:
4(-2) =

22. Four years ago, age of X was 3 times Y. Six years from now X will be twice Y. Ages of X and Y
now are:
A.
034 and 14
B.
034 and 13
C.
033 and 14
D.
035 and 14

What is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree, and enter the number only.​

How can we use the distributive property to find an expression equivalent to
10(5 – 2x)? Place the steps in order.

Just answer

1 + 23 =
i give you 100 pts
I quit

Why 10^33/2=5*10^32? Explain, pls. :(

Solve the system by graphing.
What is the solution of y=-x+4 and y=3/5x+4

28. Pay attention to the height data (cm) of the following 10 students! 155, 153, 153, 160 157, 155. 160, 155, 150, 155 The data mode is Your :
A. 150
B. 153
C. 155
D. 157​

Evaluate
A)–16
B)–4
C)16
D)[tex]-\frac{1}{32}[/tex]

The hanger image below represents a balanced equation, write an equation to represent the image.

A souvenir shop has a number of different souvenirs. The table below shows the number of souvenirs and their price. Which histogram matches the table?
please help fast its important

A rectangular playground measures 5/8 mile long and 1/4 mile wide. What is the area, in square miles, of the playground?

five years ago, Nina was twice as old as Sam. In five years she will be 1.5 times as old as Sam. How old are Nina and Sam now?