Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

y = ln 5x, y = 4, y = 6, x = 0; about the y-axis

V =

Answers

Answer 1

Answer:

π∫52(ey3)2dy

The work I did to solve this equation:

Step 1

ln(3x)=2

3x=2e

x=2e3

Step 2

ln(3x)=5

3x=5e

x=5e3

Step 3

y=ln(3x)⟺ey=3x⟺ey3=x

Step 4

π∫52(ey3)2dy


Related Questions

NEED HELP PLS

You were shown into a great cavern. “Including yourself, there are 350 people in this cavern,” the genie said.

You looked around and said, “These don’t look like people, they look like mummies.”

“Yes they are mummies, little one. If you can’t solve my next puzzle, you may become one of them. You will join the mummies. Then you will all line up in a single line. I will go down the line and count 1, 2, 3, 4, 5, 6, and so on. Every even numbered person (or mummy) will step out of line. Whenever I reach the end of the line, I will go back to the beginning of the line and continue counting from wherever I left off. The even numbers will still step out of line. The last person or mummy left in line will get the buried treasure. You can stand anywhere you want, but choose wisely.”

The genie then shouted, “Line up,” as you worked furiously trying to figure out what position to be in. The mummies all began to shuffle into position. The genie turned to you and said, “Well, where do you wish to stand?”

What position in line is the lucky winner?

Answers

Answer:

First

Step-by-step explanation:

The first person in the line will always have an odd position, not an even one.  They will be the only one left.

2. Medusa is looking for a TV screen big enough for her
and her head of snakes to enjoy her favorite soap opera.
Mngotoxo.
G TV is listed as being 60 inches. This
distance is act|ially the diagonal distance across the
screen. If thereen measures 36 inches in height, what
is the actual width of the screen to the nearest tenth of
an inch?​

Answers

Answer:

48 Inches

Step-by-step explanation:

The diagonal of the TV = 60 Inches

Height of the Screen =36 Inches

We are to determine the actual width of the screen.

This TV across the diagonal forms a right triangle in which the diagonal is the hypotenuse.

We therefore use the Pythagorean Theorem to solve for the width of the screen.

Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Let w be the width of the television

[tex]60^2=36^2+w^2\\w^2=60^2-36^2\\w^2=2304\\w=\sqrt{2304}\\ $Width of the television, w=48 inches[/tex]

I need the answer to number 9. Please! And if you have answers to the other questions;sharing them would be greatly appreciated. :D

Answers

Answer:

the correct answer for 9 is A) N 3-

Step-by-step explanation:

Solve the following: 2(5x-3)

Answers

Answer:

The vale of x is 3/5.

Step-by-step explanation:

First you have to expand out :

[tex]2(5x - 3)[/tex]

[tex] = 2(5x) - 2(3)[/tex]

[tex] = 10x - 6[/tex]

Next you have to solve it by adding 6 to both sides :

Let expression = 0,

[tex]10x - 6 = 0[/tex]

[tex]10x - 6 + 6 = 0 + 6[/tex]

[tex]10x = 6[/tex]

[tex]x = \frac{6}{10} [/tex]

[tex]x = \frac{3}{5} [/tex]

The answer I got for this following question is 2(5x-3) = 981

There are 4,500 pounds of fruit in john’s store. 1200 pounds of the fruit is apples and half as much is mangoes. The weight of pears is three times the weight of mangoes. If the rest of the fruits are grapefruits, what is the total weight of grapefruits?

Answers

Answer:

the total weight of the grapefruits is 2100 pounds

Step-by-step explanation:

apples = a

mangoes = a/2

weight of pears=3*a/2

grapefruits=g

a+a/2=1200

3/2a=1200

1.5a=1200

a=800

800+400+1200+g=4500

g=2100

Therefore, the total weight of the grapefruits is 2100 pounds

I hope this helped and have a good rest of your day!

What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?

Answers

Answer:

residual cost = $24.57

Step-by-step explanation:

The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict cost in dollars per barrel of jet fuel  from the cost , in dollars ,per barrel of crude oil. The residual value is the difference between the observed or measured value and the predicted value of  the regression model . The predicted value is gotten from the regression equation.

y = 2 + 6/7 x

where

x = cost of a barrel of crude oil

x = $60

y = 2 + 6/7 × 60

y = 2 + 360/7

y = 2 + 51.4285714286

y = 53.4285714286

y = $53. 43

predicted cost = $53. 43

Measured cost  = $78

residual = observed value - predicted value

residual = 78 - 53.43

residual cost = $24.57

The residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is $24.57

What is the residual value?

The residual value is the difference between the observed or measured value and the predicted value of the regression model.

Given that a barrel of crude oil costs $60 and a barrel of jet fuel costs $78.

According to the question, we have;

y = 2 + 6/7 x

where x = the cost of a barrel of crude oil

x = $60

Substitute;

y = 2 + 6/7 × 60

y = 2 + 360/7

y = 2 + 51.4285714286

y = 53.4285714286

y = $53. 43

The predicted cost is $53. 43

Measured cost  = $78

Then the residual = observed value - predicted value

The residual = 78 - 53.43

Residual cost = $24.57

Hence, the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is  $24.57

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5

The complete question is

The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict the cost in dollars per barrel of jet fuel from the cost, in dollars, per barrel of crude oil. The predicted value is gotten from the regression equation. What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?

Based on the graph, explain why or why not

Answers

Answer:

No the given factors won't work. They are the opposite of what they should be.

Step-by-step explanation: The "zeros" of the graph are (-5,0) and (2,0) If you use substitute those x values in the factors, (-5-5) or (2+2) and put them into the function the results are false.

To get f(x)=0 the factors should be (x+5) and (x-2)

Is the quotient of 5 and 1/2 greater than or less than 5? Explain your answer in complete sentences.

Answers

Answer: Greater than 5

Step-by-step explanation:

The quotient of 5 and .5 is 10.

5/0.5 = 10

Whenever you divide a whole number by a fraction, the quotient will always be larger than the whole number

Select all the ordered pairs that are in the solution set for the inequality graphed below.
Question 2 options:

(0, 0)


(1, -2)


(-2, 3)


(1, 6)

Answers

Idk I really did not study this since I’m in AP

Answer:

(0,0)

Step-by-step explanation:

I think thats the only answer because the line goes through that point.

What was yesterday? Or tim

Answers

Answer:

Tuesday may 18 2020

Step-by-step explanation:

Jameson collects eggs from his chickens every day. The graph shows the approximate number of eggs Jameson collects over a couple of days.

What does 4.54 mean in this situation?

a. Jameson has 4 or 5 chickens.

b
Jameson collects about 4 or 5 eggs per day.

C
It takes 4.5, point, 5 days for Jameson to collect an egg.

Answers

Answer:

B

Step-by-step explanation:

Khan

help a sistah, follow their instah: emventures666

plz give brainliest oh wait nevermind-

Answer:

The answer is B

Step-by-step explanation:

I just got it right

what is the volume please answer and EXPLAIN YOUR answer

Answers

Answer:

2268mm^3

Step-by-step explanation:

To find the volume of the whole shape, an easier way would be to find the volume of each seperate prism and add them together.

The top/smaller prism has dimensions of 4mm x 3mm x 9mm.

Multiply together and you get (4mm x 3mm) x 9mm = 12mm x 9mm = 108mm

The bottom/bigger prism has the dimensions of 12mm x 9mm x 20mm

Multiply together and you get (12mm x 9mm) x 20mm = 108mm X 20mm = 2160mm

Add 108mm + 2160mm and you get the final volume of 2268mm^3

*Because you're working with volume you always add a ^3 after your measurement (units cubed)

In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6967 subjects randomly selected from an online group involved with ears. There were 1331 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

Answers

Answer:

[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]  

Now we can find the p value using the alternative hypothesis and with the following probability:

[tex]p_v =P(z<-1.878)=0.0302[/tex]  

We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than​ 20% at 1% of significance

Step-by-step explanation:

Information given

n=6967 represent the random sample selected

X=1331 represent the surveys returned

[tex]\hat p=\frac{1331}{6967}=0.192[/tex] estimated proportion of return rate

tex]p_o=0.2[/tex] is the value to verify

[tex]\alpha=0.01[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We test the claim that the return rate is less than​ 20%, then the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]  

Now we can find the p value using the alternative hypothesis and with the following probability:

[tex]p_v =P(z<-1.878)=0.0302[/tex]  

We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than​ 20% at 1% of significance

First CORRECT answer WILL get Brainliest. I’m on a limited time so if you don’t know, don’t answer. No guesses, not what you think, accurate and correct answers. I apologize if I am coming off as rude, but I honestly don’t have the time to delete questions. Thank you in advance!

Answers

Answer:

Square feet of Carpeting : 136 ft^2

Step-by-step explanation:

Let us divide this figure into two shapes, each being rectangles;

Considering the first, smaller shape, with a given dimension of 7 feet we can see that the second dimensions is 13 - 9, ⇒ 4 feet

The Area of this part would thus be ⇒ 7 * 4 = 28 ft^2

Now this second figure is provided with dimensions 12 by 9 feet, so that the  area would, by definition ⇒ length * width = 12 * 9 ⇒ 108 ft^2. The total area of this figure is, by Partition Postulate : 108 + 28 ⇒ 136 square feet

If Sara plans to carpet the room, clearly the carpeting's area should be equivalent to that of the area of the room. This would mean;

Square feet of Carpeting : 136 ft^2

Solving for x and y

Answers

Answer:

105/13 = x ; 64/13 = y

Step-by-step explanation:

12x + 2 = y + 94  --> 24x + 4 = 2y + 188

11x + 12 = 2y + 91 -->

13x - 8 = 97 -->

13x = 105 -->

105/13 = x -->

64/13 = y

Please help
There are 7 seats in the first row of a theater, 9 seats in the second row, and 11 seats in the third row. This pattern continues for each row in the theater. Write a rule for an, the number of seats in the nth row.

Answers

Answer:

an=n+2

Step-by-step explanation:

To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1407 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

Answers

Answer:

  3.0 miles

Step-by-step explanation:

The tangent of the angle relates the opposite side (altitude) to the adjacent side (distance to runway):

  tan(5°) = (altitude)/(distance to runway)

Then we have ...

  distance to runway = (1407 ft)/(tan 5°) ≈ 16,082 ft

In miles, that is ...

  distance to runway = (16082 ft)/(5280 ft/mi) = 3.0458 mi

The pilot is 3.0 miles from the runway at the start of his approach.

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively, and 7% of all plant employees work in the finishing department and are absent excessively.
1. If a plant employee is selected randomly, and F is the event "works in the finishing department," then P(F) = ________.
A. 0.07
B. 0.10
C. 0.20
D. 0.13
2. A plant employee is selected randomly; F is the event "works in the finishing department" and A is the event "is absent excessively." The probability of intersection of A and F, (P∩F) = __________.
A. 0.07
B. 0.10
C. 0.20
D. 0.23

Answers

Answer:

 gvuhgvcgv  

Step-by-step explanation:

hvhjbkuijbg

What is the median? I need this turned in aaa on but I don’t get it

Answers

Answer:  7,500 passengers

Step-by-step explanation: Let's put the numbers from least to greatest...

5,000, 6,000, (7,000, 8,000,) 9,000, 10,000

Since there is an even number of numbers we will have two medians for the time being...

7,000 + 8,000 = 15,000

15,000 ÷ 2 = 7,500

Therefore, the median is 7,500, there are 7,500 passengers in total.

I hope this helps!

if A is a square matrix such that A^2=2I,then A^-1=?​

Answers

[tex]A^2=2I[/tex]

Recall that [tex]I=AA^{-1}=A^{-1}A[/tex], so

[tex]A^2=2(A^{-1}A)[/tex]

Multiply on the right by [tex]A^{-1}[/tex] and regroup terms:

[tex]A^2A^{-1}=2(A^{-1}A)A^{-1}[/tex]

[tex]A(AA^{-1})=2A^{-1}(AA^{-1})[/tex]

[tex]A=2A^{-1}[/tex]

and finally solve for [tex]A^{-1}[/tex]:

[tex]\boxed{A^{-1}=\dfrac12A}[/tex]

A bag contains 7 red and 10 white balls. In how many ways 4 balls are selected if there are more than 2 red balls?

Answers

Answer:

2

Step-by-step explanation:

Well if 2 are red it can only be either

rrrr

or

rrrw

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use the number to simulate the weather in the video game

Answers

Answer:

  If the integer is in the range 1–15, then the weather could be declared rainy

Step-by-step explanation:

Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.

The radius of a circle is 7 cm.find its area to the nearest 10th

Answers

Answer:

A = 153.9 cm^2

Step-by-step explanation:

The formula for the area of a circle of radius r is A = (pi)(r)^2.

Here, with r = 7 cm, the area is A = (pi)(7 cm)^2 = 49(pi)(cm)^2, or (to the nearest 10th):  A = 153.9 cm^2

What is the area of the shaded region between the two z-scores indicated in the standard normal curve shown below. z=-1.23 z=0.83

Answers

Answer:

Correct option A: 0.6874

Step-by-step explanation:

Hello!

To calculate the area within the interval [-1.23; 0.83], you have to subtract to the probability accumulated till the lower value to the probability accumulated to the higher value, symbolically:

P(Z≤0.83)-P(Z≤-1.23)

You have to use the Z table to look for the corresponding values of probability. The negative value is in the left entry and the positive value is in the right entry. The first column shows the integer and first decimal value, the second decimal value is in the first row, you cross both values and find the value of probability.

P(Z≤0.83)-P(Z≤-1.23)= 0.7967 - 0.1093= 0.6874

I hope it helps!

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. F(x) = [tex]4x^2 + 1[/tex]

Step-by-step explanation:

The altered function on the graph has shifted upwards by 1 unit from a +1. It also got narrower, and this is from a number that's greater than 1 in front of x.

Ruth has pennies and dimes in her pocket. The number of dimes is twelve less than twice the number of pennies. Let p represent the number of pennies. Write an expression for the number of dimes.

Answers

d=2p-12
I hope that helps!

A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Brand A
Total sold
343
17
Brand B
14
180
Brand C
16
383
Brand D
8
246
Which brand should the store consider eliminating?
A. Brand A
B. Brand B
C. Brand C
O D. Brand D



Please help me !!!!

Answers

Answer:

B. Brand B

Step-by-step explanation:

[tex]\left|\begin{array}{cccc}$Brand&$Total Sold&$Returns&$Probability of Returns\\---&---&---&---\\$Brand A&343&17&\dfrac{17}{343}=0.0496 \\\\$Brand B&180&14&\dfrac{14}{180}=0.0778 \\\\$Brand C&383&16&\dfrac{16}{383}=0.0418\\\\$Brand D&246&8&\dfrac{8}{246}=0.0325\\&&&\end{array}\right|[/tex]

We can see from the table above that the experimental probability of returns of Brand B is the highest, therefore it has the highest likelihood of being returned.

The store should consider eliminating Brand B.

Answer:

B.) Brand B

Step-by-step explanation:

Which value of k will make this relationship NOT a function? {(−7, 2), (−1, 0), (4, 8), (k, 0)} ​

Answers

Answer:

In this example, if k = -7, this relationship is not a function, since x = -7 would have both y = 2 and y = 0.

Step-by-step explanation:

Requirement to be a function:

For a relationship to be a function, all values of x must have only one corresponding value of y.

In this question:

For x = -7, y = 2

For x = -1, y = 0

For x = 4, y = 0

For x = k, y = 0

A value of x must not have more than 1 value of y.

In this example, if k = -7, this relationship is not a function, since x = -7 would have both y = 2 and y = 0.

Rearrange the equation so u is the independent variable.


-12u + 13 = 8w - 3


y = __


15 POINTS HELP ME !

Answers

Answer: U = 8w-16/-12

Step-by-step explanation:

-12u + 13 = 8w -3

-12u + 13 - 13 = 8w -3 -13

-12u = 8w -16

u = 8w - 16/ -12

if your shadow is twice your height, what is the angle of elevation of the sun?

A. The angle of elevation is about 27°
B. The angle of elevation is 30°
C. The angle of elevation is 60°
D. The angle of elevation is 63°​

Answers

Answer:

The angle of elevation is about 27°

Step-by-step explanation:

Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.

Let x represent the original height

2x is the length of shadow

And θ the angle of elevation

Applying trigonometry;

Tan θ = opposite/adjacent = original height/shadow length

Substituting the values;

Tan θ = x/2x

Tan θ = 1/2

θ = taninverse(1/2)

θ = 26.56505117707

θ ≈ 27°

Elevation angle is approximately 27°

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