The base of a solid is the region enclosed by y = e^x, the x-axis, the y-axis, and the
line x = 8. Cross sections perpendicular to the x-axis are squares. Find the volume of
the solid.

Answers

Answer 1

Answer:

You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is


Related Questions

I WILL GIVE BRAINLIEST!!

Answers

Answer:

1

Step-by-step explanation:

The problem is basically asking us to find the value on the graph corresponding to the x value of 1. We can draw a line with the equation x = 1(or just trace your finger up) to see that when x = 1, the output of the function is at the value 1 as well(the y value).

Shannon won $200 dollars playing Bingo last week. This week she won
$450. What is the percent of change in her winnings?

55.5% increase

125% decrease

55.5% decrease

125% increase

Answers

Answer: 125% increase

Step-by-step explanation: She won 200 dollars last week and now she won 450. If more, less divides. So 450 is more than 200.

This would give you 450/200. You're trying to find percentage so you multiply by a hundred. 450/200 * 100. This will give you 125%

Please someone help with this cone volume please

Answers

Answer:

the answer is

235.62m^3.

The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°​

Answers

The answer is 54. Let me know if you need an explanation

ANSWER ASAP!!!!!!!!!

Answers

C. both axis’ are growing at the same rate with the same amount.

Compute 7-9-2+10-4?

Answers

I believe it would be 2. Since 7-9= -2 then subtract another 2 which equals -4 then add 10 which equals 6 then subtract 4. Which equals 2.

2 is the answer, hope this helps

without plotting the points indicate the quadrant in which they will lie,if
a)ordinate is 5 , abcissa is -3
b)abcissa -5 and ordinate is -3
c)abcissa is -5 and ordinate is 3
d)abcissa is5 and ordinate is 3

Answers

Answer:

a) 2nd quadrant

b) 3rd quadrant

c) 2nd quadrant

d) 1st quadrant

Step-by-step explanation:

When we talk about ordinate, we mean the y axis value

abscissa is the x axis value

There are four quadrants with the following distribution of signs;

1st quadrant: positive x and positive y

2nd quadrant: negative x and positive y

3rd quadrant; negative x and negative y

4th quadrant ; positive x and negative y

a) (-3,5)

negative x and positive y; this is the 2nd quadrant

b) (-5,-3)

Negative x and negative y, this is the 3rd quadrant

c) (-5 , 3)

Negative x and positive y; 2nd quadrant

d) (5,3)

Positive x and positive y; 1st quadrant

Three vertices of a rectangle are shown on the grid. I NEED HELP PLEASE

Answers

Answer:

(6,7)

Step-by-step explanation:

The great thing about rectangles is that they are super simple.  For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left.  This maintains the parallel lines that define a rectangle.  So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)

The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.

Two box and whisker plots showing weights of cats and dogs on a number line from 0 to 100. The upper plot represents the dog weights. For this upper plot, the minimum number is 10, the maximum number is 95, the right side of the box is 70, the left side of the box is 35, and the bar in the box is at 50. The lower plot represents cat weights. For this lower plot, the minimum number is 1, the maximum number is 18, the right side of the box is 13, the left side of the box is 6, and the bar in the box is at 10.

How many more dogs than cats were over 10 pounds?

10

30

50

100

Answers

Answer:

100

Step-by-step explanation:

Find the 69th term of the arithmetic sequence -13, -33, -53, ...​

Answers

Answer:

-1,373

Step-by-step explanation:

a69 = -13 + (69-1)(-20)

= -13+(68)(-20)

= -13 - 1,360

= -1,373

Answer:

-1373

Step-by-step explanation:

GIVEN :-

A.P. = -13 , -33 , -53 , ...

TO FIND :-

69th term of A.P.

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's an A.P. whose :-

First term = aCommon Difference = dTotal number of terms = nnth term = aⁿ

Formula for finding nth term of A.P. = aⁿ = a + (n - 1)d

SOLUTION :-

According to the question ,

First term = -13Common difference = -33 - (-13) = -20Number of terms needed to find = 69

By using the formula for finding nth term ,

69th term of A.P. = -13 + (69 - 1)×(-20) = -13 + (-1360) = -1373

In circle O, AE and DC are chords and intersect at B. If arc AC is 36 degrees and arc DE is 20 degrees, what is the measure of angle ABC? (Type in numbers only)

Answers

Answer: 28

You add 36 and 20 and divided it by 2

Phoebe invested $5800 and after one year the investment was worth $6100. How much interest did she receive?

Answers

Answer:

Amount of interest received by Phoebe = $300

Step-by-step explanation:

Given:

Amount Phoebe invested = $5,800

Amount Phoebe received after one year = $6,100

Find:

Amount of interest received by Phoebe

Computation:

Amount of interest received by Phoebe = Amount Phoebe received after one year - Amount Phoebe invested

Amount of interest received by Phoebe = 6,100 - 5,800

Amount of interest received by Phoebe = $300

which of the following polynomials is in standard form? (PICTURE)

Answers

Answer:

D) exponents are in decreasing order

Step-by-step explanation:

Ivan draws PQR on the coordinate plane.
What is the perimeter of PQR? Round to the
nearest unit.

Answers

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

whats this shape help I'm struggling

Answers

Answer: It is a rectangle.

Step-by-step explanation: 2 rectangles of different sizes are being in top of each other.

Help me please, I have beeen trying to figure this out but I can’t

Answers

Answer:

M and N

Step-by-step explanation:

points K and L. explanation in the picture. feel free to clarify!

-8 * 2/3 answer as a fraction

Answers

Answer:

-8 x 2/3

=–16/3.

or -5⅓

Have a great day!

AHH ILALAGAY KO PO YUNG TANONG YUNG IBA PO NA KAILANG NG PICT NASA PIC SA TAAS masagot po sna plsssssssssssssssssssssssssss

A.draw the following lines in the boxes
1.line AB and line CD-parallel lines

2.line FH and line XY - intersecting line

3.line MN and line QP-perpendicular line

performance 2

A.classify the triangles by their sides and angle

Answers

Step-by-step explanation:

seriously another one its ok i can do it

need help gotta turn in in 20 minutes!!!1

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.

Vertically opposite angles are equal to each other.

____________________

So, equation [tex]\large\bold{3x° = x + 30°}[/tex]

____________________

Value of x will be :-

[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

A birthday present (rectangular prism) you are wrapping has a 10 inch length, 8 inch
width, and a 4 inch height. How many square inches of wrapping paper will you need to
wrap it?


can you help me

Answers

Answer:

320 square inches

Step-by-step explanation:

10*8=80

80*4=320

final answer: 320 square inches

pleaseeeee help meeeee i will mark you brainlesttttttttttttttttttttttt

Answers

Answer:

First you would see the picture and you would count how many people had less than 20 which is 18

brainliest

Step-by-step explanation:

What are the possible outcomes of 6 and 11

Answers

Answer:It will be 66

Step-by-step explanation:

6: 6,12,18,24,30,36,42,48,54,60,66

11: 11,22,33,44,55,66

HELP HELPMARKING THE PERSON WHO ANSWERS THIS FIRST AS BRAINLIEST ;

1) simplify -4/5 x 3/7 x 15/16 x (-14/9)
2) value of (2/5)x(-3/7) - (-3/7)x(3/5) = ?

Answers

Answer:

5/8

that's mah answer tht is correct

can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1. ​

Answers

Part (a)

x = number of bass caughty = number of trout caught

x and y are nonnegative whole numbers.

3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds.  Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.

In short, we end up with the equation 3x+2y = 34

Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.

The second equation is 5x-2y = 14

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

Answer:

3x+2y = 34

5x-2y = 14

Both equations are needed to form this particular system.

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

Part (b)

We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).

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

Part (c)

Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.

3x+5x becomes 8x2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away34+14 simplifies to 48

After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.

Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y

3x+2y = 34

3(6)+2y = 34

18+2y = 34

2y = 34-18

2y = 16

y = 16/2

y = 8

So we can see that Pat caught 8 trout as well.

The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.

Solution: (x,y) = (6,8)

Interpretation: Pat caught 6 bass and 8 trout

If 4 + x = −3 + 2x, then 9x =_____?

Answers

Answer:

4+x=-3+2x

4+3=2x-x

7=x

9x=9*7

=63

Step-by-step explanation:

Answer:

[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]





Peter has saved $40. He will add $35 to his savings each week. Veronica has saved
$60, and will add $35 to her savings each week.
How much will each person have saved after 5 weeks?
O A. Peter: $355; Veronica: $315
OB. Peter: $215; Veronica: $235
OC. Peter: $320; Veronica: $340
OD. Peter: $235; Veronica: $215

Answers

Answer:

B ) P 215 V 235

Peter 35×5=175+40=215

Veronica 35×5=175+60=235

Write a short para based on how the pandemic has affected travelling.

Answers

Answer:

Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.

Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.

As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.

The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.

In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.

sorry it didnt let me send it so i took a lictire of it stay safe out there in the world wherever you are to let you know god is with you all the time if your in fear pray to him and he will take the fear away from you. anyways, stay safe and love you all!❤

NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?

Answers

Answer:

what is the formulae for finding a circle

Sam has a rectangular rug with an area of 50 square feet. The rug is 5 feet longer than it is wide. What is the width of the rug?
O A. W = 5 feet
O B. w = 6 feet
OC. w = 12 feet
OD. w = 4 feet

Answers

I think it’s gonna be A
A. W = 5 feet

We know the area = length x width.
We know length = w + 5.

5 + 5 = 10, multiplied by 5 = 50

It’s not B, because 6 + 5 = 11, and 11 x 6 = 66
It’s not C, because 12 + 5 = 17, and 17 x 12 = 204
It’s not D, because 4 + 5 = 9, and 9 x 4 = 36

Could someone pls help with this :-)

Answers

Answer:

A. y = -f(x+1)

Step-by-step explanation:

_______________

Other Questions
Help! Will give brainliest to the best answer. Using a specific example, predict and explain how the release of non-native organisms can affect local, national, and even global ecosystems. Three categories of activities (operating, investing, and financing) generate or use the cash flow in a company. In the following table, identify which type of activity is described by each statement Operating Activity Investing Activity Financing Activity A company records a loss of $70,000 on the sale of its outdated inventory D and W Co. sells its last season's inventory to a discount store. Digiink Printing co. buys new machinery to ramp up its production capacity. Yum Brands distributes dividends to its common stockholders for the first During the last year, Globo-Chem Co. generated $1,053.00 million in cash flow from operating activities and had negative cash flow generated from investing activities (-576.00 million). At the end of the first year, Globo-Chem Co. had $180 million in cash on its balance sheet, and the firm had $280 million in cash at the end of the second year. What was the firm's cash flow (CF) due to financing activities in the second year? A. $471.25 million B. $5.189.50 million C. $282.75 million D. $-377.00 million Question 9Two sides of a triangle have lengths 10 and 15.What must be true about the length of the third side?Greater than 5 but less than 25Less than 15 Less than 25 answer pls with a detailed explanation Help pleasee MARKED BRAILIEST!!! Please help!!! 60 points What was the goal of Congress when it passed the Sherman Antitrust Act to break up corporate trusts?OA. to remove government regulation from businesses. .to return private competition to the marketplaceOC. to lower taxes on small and medium businessesOD.to prevent politicians from investing in businessesO E. to increase laissez-faire ideals in the marketplace change to passive voice let us sing together PLEASE HELP ME ASAP In the equation Log2x = y, which of the following CANNOT be true?O y is negativeO y is positivex is negativeO x is positive Cmo influye el contexto del autor en una obra literaria? The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers. HELP PLEASEEE :) TY TYYYYY A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey is randomly selected , what is the probability that they lived in 2 or more states and that they have a college degree? P( 2 state or more U Degree )0.6550.1110.3100.500 Madeleine says she can use a clock to show that 5/60 and 1/12 are equivalent fractions. Do you think she is correct? Explain. Give some ways in which rivers grow? Can you find thetriangle's perimeterIm marking branliest ...It feels like the end of the world? PLEAEE NEED HELP!!Find the area of the shaded region in the regular polygon with AB = 5.5 ft. in a hostel 50 students have food enough for 32 days. how many students should be leave the hostel so that the food is enough for 14 days. aken as a whole, the tone of the passage is best described as A. quietly confessional B. deeply philosophical C. sternly reproachful D. scrupulously objective E. wryly mocking Clear selection