Please answer. I will give brainliest to the best answer

The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.

First, we determine the limits between the two curves. ([tex]f(x) = 4\cdot x -2[/tex], [tex]g(x) = x^{2}+1[/tex])

[tex]f(x) = g(x)[/tex] (1)

[tex]4\cdot x - 2 = x^{2}+1[/tex]

[tex]x^{2}-4\cdot x +3 = 0[/tex]

[tex](x-1)\cdot (x-3) = 0[/tex]

The lower and upper bounds are 1 and 3, respectively. It is to notice that [tex]f(x) > g(x)[/tex] for [tex]x \in (1, 3)[/tex]. Thus, we determine the volume of the solid of revolution by shell method, that is to say:

[tex]V = 2\pi \int\limits^a_b {x\cdot |f(x) - g(x) |} \, dx[/tex] (2)

If we know that [tex]a = 3[/tex], [tex]b = 1[/tex], [tex]f(x) = 4\cdot x - 2[/tex] and [tex]g(x) = x^{2}+1[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi \int\limits^3_1 {|4\cdot x^{2}-2\cdot x -x^{3}-x|} \, dx[/tex]

[tex]V = 2\pi\int\limits^3_1 {(4\cdot x^{2}-x^{3}-3\cdot x)} \, dx[/tex]

[tex]V = 8\pi \int\limits^3_1 {x^{2}} \, dx - 2\pi \int\limits^3_1 {x^{3}} \, dx -6\pi \int\limits^3_1 {x} \, dx[/tex]

[tex]V = 8\pi\cdot \left(\frac{3^{3}}{3}-\frac{1^{3}}{3} \right)-2\pi \cdot \left(\frac{3^{4}}{4}-\frac{1^{4}}{4} \right) - 6\pi\cdot \left(\frac{3^{2}}{2}-\frac{1^{2}}{2} \right)[/tex]

[tex]V = \frac{208\pi}{3} - 40\pi -24\pi[/tex]

[tex]V = \frac{16\pi}{3}[/tex]

The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.

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Answer:

m ≥ 1229

Step-by-step explanation:

Use m for the number of minutes

30 + 0.05×m ≥ 91.45

0.05*m ≥ 91.45-30

0.05*m ≥ 61.45

m ≥ 1229

Answer:

I would say either pic 2 or four.

Step-by-step explanation:

Hopes This Helps

Answer:

P = -3, each line in the negative direction is 1 number

so you would have -1, -2, -3 , -4, etc.

P is on the -3 line.

See attached picture.

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

x=17.333

Step-by-step explanation:

3x+8=60

3x=60-8

3x=52

x=52\3

x=17.333

Answer:

52.4

Step-by-step explanation:

% change = 100 x final initial/initial

Answer:

64 degrees

Step-by-step explanation:

X equals 64 degrees because it shares a vertical angle pair with another angle which is 64 degrees. Since they are across from each other, x is 64 degrees.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

y = -2x + 3

Step-by-step explanation:

the original formula is

y = mx + b

m is the slope

b is the inteception on the y axis

Answer:

4th option

Step-by-step explanation:

7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x

= 56x³ - 28xy² + 21xy - 35x

The expression in the expended version will be equal to 56x³ - 28xy² + 21xy - 35x. Hence, option D is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given expression,

7x (8x² - 4y² + 3y - 5)

Solve the equation by multiplying 7x with the bracket,

56x³ - 28xy² + 21xy - 35x

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in this question, we are given the poverty function Our X equals no point to for X equals not 123 on before. So we are asked to find the mean and standard deviation. So the first step is to dio our property distribution tables. We are no one to hey wonderful. When we get told, it's no point to went to Teoh went to and not point to stuff. It's nice and easy. The next room we need to do is X he exit. We're gonna times are probability of X which is not 20 for all of them and by the value of X itself. So for the 1st 1 we're times in nor point to buy zero So we get zero 2nd 1 time to North point to buy one which is no point to no no point to about two, which is full no point you by three which is six and no 60.2 times four which is ain't on Then the way we get the main is to some all these together. So every animal together we get to not to is me which is on me I'm just gonna put less some of X P x is a reminder of how we got that. So if we do total so the next thing we need to dio is doomed. Ex spread P X so x zero squared is still zero and zero times. Anything is zero once where it is still one so that times not point to a store not point to. But now two squared is four of four times no point to there's no 0.8 three squared is nine. So no 90.2 times nine is now. One point ain't on four spread is 16 so one out of the North Point to buy 16 which is 3.2 on the total for that is not quick to note. 0.8 plus 1.8 plus 3.2, which gives us six. So we now need ah variation, which is the expectation of X. It's what, which is this Butthead and we need to take from that expectation of X, which is our mean squared same. We're looking at six minus to squared. So that's six minus four, which is to on to get the standard deviation. We just need to do root off answer. So If we do, son deviation equal root of Arians equals route to Ruutu is actually an irrational number. So it will just keep going forever. So we'll just simplify to one distal place, which is 1.4. So they haven't you mean is too on the standard deviation is 1.4.

Answer:

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

2. Seven less than a number:

3. The sum of three consecutive numbers:

4. The sum of two consecutive even numbers is 42:

5. The sum of a number and 5 times its reciprocal:

6. Four more than twice a number:

7. The square of a number increase by five:

8. The sum of two numbers is equal to four more than their difference:

9. Rian's age four years from now:

10. Clara's age 10 year from now​:

Step-by-step explanation:

1. Let, Number = x

2x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10

Answer:

Option B,option D and option F are the correct statements.

Answer:

age of the Father is 46 and age of the son is 24

Step-by-step explanation:

13 years ago x was thrice y's age, or

(x - 13) = 3(y - 13); or

x - 3y = -26

2 years ago, x was twice y's age, or

(x - 2) = 2 (y - 2); or

x - 2y = -2

Subtracting equation 1 from 2:

x - 2y - (x - 3y) = -2 - (-26)

or y = 24

Answer:

  5y +6 +7y = 2 (6y + 3 )

Step-by-step explanation:

We can name the blanks 'a' and 'b'. Then we have ...

  5y +6 +7y = a(6y +b)

This will have infinitely many solutions when both sides simplify to the same expression.

  12y +6 = 6ay +ab

To have these expressions be the same, we must have ...

  12 = 6a . . . . same coefficient of y

  6 = ab . . . .  same constant

The first of these equations tells us ...

  a = 12/6 = 2

Then the second equation tells us ...

  b = 6/a = 6/2 = 3

The equation with the blanks filled in is ...

  5y +6 +7y = 2 (6y + 3 )

Answer:

542.04 × 1.88 = 1020

Facts about 1,020

Sig Figs

3

1020

Decimals

0

Scientific Notation

1.02 × 103

E-Notation

1.02e+3

Words

one thousand twenty

Answer:

4606

Step-by-step explanation:

5234 · 0.12 = 628

5234 - 628 = 4606

Answer:

The answer to this question should be C: 4605.

Step-by-step explanation:

For this problem we need to know what 12% of 5,234 is. 12% of 5,234 is 628.08. Since their was a decrease in visitors we need to subtract 5,234-625.08=4,605.92. The probelm states that we need to find the "Approximate number", so have the .92 doesnt matter. So therefore the answer to this probelm is C: 4605.

yw :)

Answer:

Cardiovascular system

Step-by-step explanation:

Answer:

d. 7, -14, 28, -56, 112

Step-by-step explanation:

f(2) = -2(7) = -14

f(3) = -2(-14) = 28

f(4) = -2(28) = -56

f(5) = -2(-56) = 112

Answer:

.....

Step-by-step explanation:

merry Christmas to you too

22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.

Since Amina recently moved and got a new job, and the quickest way to get to work is to take a freeway that charges a toll, and there are two options for paying the tolls:

Option A: No monthly fee, each trip on the tollway is $ 2.80.

Option B: $ 30 monthly fee, each trip on the tollway is half-priced at $ 1.40.

To determine how many trips on the tollway are needed for Option B to be cheaper; y, if Amina plans to travel to and from work 5 times a week, which option should she purchase; the following calculation must be performed:

Therefore, 22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.

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Answer:

corresponding segments

Step-by-step explanation:

BK = KB'

AJ - JA'

CL = LC'

Answer:

1867

Step-by-step explanation:

What do you need it for?

I have no idea math should have been working hade books bye sorry

Answer:

If f(x) =3x^3+10x^2-13x-20 and f(-4)=0, then find all of the zeros of f(x) algebraically