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 NEED HELP PLEASE PLEASE IN ALGEBRA!

Answers

Answer:

what is question?

Step-by-step explanation:


HELP WILL GIVE BRAINLY PLZ DONT SKIP

Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly
chosen student took Form B and did not pass? Show ur work/explain in words what you did
A. 0.055
B 0.195
C. 0.305
D. 0.390

Answers

Answer:

C. 0.305

Step-by-step explanation:

100 - 39 = 61

.5 x .61 = .305

30.5%

Thank for doing l love u

Answers

i think the answer for the first 2 questions are 12 and 28

good job guys ik math is hard sometimes

A fraction Equivalent 4/6 and has the denominator 3

Answers

Answer:

7

Step-by-step explanation:

Answer:

the answer is 2/3

hope this helps

have a good day :)

Step-by-step explanation:

PLS HELP ASAP DUE TMR TY

Answers

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex](2a) = 8[/tex]

[tex]a = \frac{8}{2} [/tex]

[tex]a = 4[/tex]

Hope it is helpful.....

Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.

Answers

Answer:

Blue paint: 1, 2, 2.8, 10

Red paint: 2.5, 5, 7, 25

Step-by-step explanation:

constant of proportionality: 2.5

2.5x = y

Find mMLK. 272 °. please and thank you!!

Answers

Answer:acute angle less than ninety so around fourth five

Step-by-step explanation:

we gots more babeyyy
I just need assistance, or put me in the right direction, something-
I've got till the end of the day, and this will determine my final grade
please help if you can​

Answers

5x + 16 = ( 2x + 14 ) + 32

...............................................

This the clue and the right direction

You got this

Solve for x helpppp pleaseee

Answers

Answer:

10

Step-by-step explanation:

360=95+95+15+7x+15+7x

360-95-95-15-15=7x+7x

140=14x

140/14=x

10=x

Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer

Answers

Answer:

between 128 and 144 ounces

Step-by-step explanation:

Recall that 1 pound equals 16 ounces.

8 pounds is 128 oz; 9 pounds is `144 oz.

Therefore, a gallon of milk weighs between 128 and 144 ounces.

Answer this and I will brainliest

Answers

C is the answer have a good one

what is the speed of the person from point c to point d?

Answers

Answer:

A

Step-by-step explanation:

the system of equations kx-5y = 2, 6x+2y = 7 has no solution, then k =

(a) -10 (b) -5 (c) -6 (d) -15​

Answers

Answer:

(d) -15

Step-by-step explanation:

Given system of equations are:

[tex] \begin{cases}kx-5y=2\\\\6x+2y=7\end{cases}[/tex]

Since, given system of equations have no solution.

[tex] \therefore \frac{k}{6}=\frac{-5}{2} \neq\frac{2}{7}[/tex]

[tex] \implies \frac{k}{6}=\frac{-5}{2} [/tex]

[tex] \implies k=\frac{6(-5)}{2} [/tex]

[tex] \implies k=\frac{-30}{2} [/tex]

[tex] \implies k=-15[/tex]

I don’t understand how to do this . Any help would be appreciated thank you .

Answers

(B)

Step-by-step explanation:

Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:

sin 65 = opposite/hypotenuse

= (24 ft)/p

Solving for p,

p = (24 ft)/(sin 65°)

= 26.48 ft

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:

Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?

Answers

Answer:

232

Step-by-step explanation:

What is the measure of angle R?
110°
140°
125°
70°

Answers

70
Hope this helps :D

The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?

Answers

Answer:

y=65+ 30x

Step-by-step explanation:

Given data

Cost of rental= $65

Additional month= $30

The expression for the total cost for x  months is

y=65+ 30x

When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?

Answers

Answer:

When the coefficient of the variable is negative, as shown below,

Step-by-step explanation:

2-4y>14

-4y>14-2

-4y>12, divde through by - 4

y>-3

The mean of three numbers is 10. The mode is 8. What are the three numbers?

Answers

Answer:

8, 8, 14

Step-by-step explanation:

Since 8 is the mode, it will appear the most. As there are 3 numbers, 8 will be two of them, so there are 2 8s.

To find the total of the numbers, do the mean multiplied by the amount of numbers, which is 10 times 3, which equals 30.

To find the last number, minus the two numbers you already have from the total, so 30-8-8=14

So the three numbers are 8,8,14.

Hope this helps! :)

Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Work out the value of x

Answers

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]

The mean of set of a is:

[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]

[tex]Mean=\dfrac{564}{4}[/tex]

[tex]Mean=141[/tex]

The mean of set of b is:

[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

[tex]Mean=\dfrac{1453+x}{5}[/tex]

It is given that,

Mean of set a: mean of set b= 3:8

[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]

[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]

[tex]8\times 705=3\times (1453+x)[/tex]

[tex]5640=4359 +3x[/tex]

Isolate the variable x.

[tex]5640-4359 =3x[/tex]

[tex]1281 =3x[/tex]

Divide both sides by 3.

[tex]\dfrac{1281}{3} =x[/tex]

[tex]427 =x[/tex]

Therefore, the value of x is 427.

can someone help me with this thank you

Answers

Answer:

324?

Step-by-step explanation:

A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed on the line that tests the weight of the filled boxes and rejects any product outside the correct package weight. Historically, 90% of the product manufactured on this line is within the correct weight range. The sensor rejects boxes of incorrect weight 98% of the time. The sensor rejects boxes of correct weight 1% of the time. What is the probability that a correct weight box of cereal will get rejected by the sensor

Answers

Answer:

0.2%

Step-by-step explanation:

The given parameters are;

The percentage of product within the correct range = 95%

The percentage of the times the sensor reject boxes of incorrect weight = 98%

The percentage of the times the company reject boxes with correct weight = 1%

[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]

We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2

FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01

FPR = 0.2/(0.2 + 9.8) = 0.02

TPR = 89.1/(89.1 + 0.9) = 0.99

TNR = 9.8/(9.8 + 0.2) = 0.98

P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))

Where;

P(C/A) = The probability that a correct weight package is accepted

∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776

The probability that a correctly weighed package is rejected, P(C/R), is given as follows;

P(C/R) = 1 - P(C/A)

∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%

The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%

Answer:0.9%

Step-by-step explanation:

good luck!!!

It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?

Answers

Answer:

8.07 inches

Step-by-step explanation:

7.29+0.78=8.07

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

Its D because the x axis can repeat itself

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.

Answer:

D, the last one

Step-by-step explanation:

A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.

PLEASE HELP ME ACE THIS

angle a = ___ degrees

Answers

Angle B = ADC arc / 2

32 = ADC arc / 2

ADC arc = 2 × 32

ADC arc = 64

_________________________________

ADC arc + ABC arc = 360

64 + ABC arc = 360

ABC arc = 360 - 60 - 4

ABC arc = 300 - 4

ABC arc = 296

_________________________________

Angle D = ABC arc / 2

x = 296 / 2

x = 148

_________________________________

Angle A = x - 40

Angle A = 148 - 40

Angle A = 108 degrees

If ABC and EDC are similar, what is the value
of x?
A

Answers

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.

Answers

The mean of the test that has a normal distribution is 55.

What is the mean of the test?

Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:

49 = μ - 3σ  equation (1)

59 = μ + 2σ  equation (2)

To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:

49 + 59 = μ - 3σ + μ + 2σ

Simplifying, we get:

108 = 2μ - σ

We can also solve for σ by subtracting equation (1) from equation (2) to get:

59 - 49 = μ + 2σ - (μ - 3σ)

Simplifying, we get:

10 = 5σ

Therefore, σ = 2.

Substituting this value of σ into the equation we found earlier, we get:

108 = 2μ - σ

108 = 2μ - 2

Solving for μ, we get:

2μ = 108 + 2

2μ = 110

μ = 110/2

μ = 55

Therefore, the mean of the test is 55.

Learn more about normal distribution here: https://brainly.com/question/29509087

#SPJ1

the coefficient in the term 7xy is​

Answers

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

Simplify each expression

Answers

hope this helps you

Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

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