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The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

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Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

Answer:

look at the picture ..........

Answer:

y=1

x=-2

Step-by-step explanation:

Lets use substitution for the first equation:

-4x=5+3y

Divide by -4 on both sides : x=-5/4-3/4y

Now we substitute x into the second equation:

3(-5/4-3/4y)-2y=-8

Simplify : -15/4-9/4y-2y=-8

Combine Like Terms : -15/4-17/4y=-8

Isolate the Variable : -17/4y=-17/4

y=1

Now we get that x is -5/4-3/4, which is -8/4=-2

x=-2

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

40=x

x= 40 degrees

hope this helps :)

The symbol of red in pic indicates that angle is right angle.

So, ∆ MOU = ∆ CUO = 90°

Step-by-step explanation:

the gradient describes the slope or steepness of the line joining two points.

it is expressed as the ratio of

y coordinate change / x coordinate change

so, we need to find 2 good points (typical with integer coordinates) per line to see how y and x changes between them.

for A I see e.g. (1, 1) and (2, 4)

for B I see e.g. (0, 5) and (1, 1)

so, for A

x changes by +1 (from 1 to 2)

y changes by +3 (from 1 to 4)

the slope or gradient of A : 3/1 = 3

and for B

x changes by +1 (from 0 to 1)

y changes by -4 (from 5 to 1)

the slope or gradient of B : -4/1 = -4

Answer:

Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.

Answer:

the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis

so now we have rule to use to find the equation

y/4+x/1=1

y/4=1-x

y=4-4x

and this is the equation

No, an object can't be reflected over a line without changing its position.

A Reflection is a transformation representing a flip of a figure.

Given that an object can be Reflected over a line without moving its position,

There are certain rules for reflection of figures,

Using these rules, a point is reflected, so it's not possible for an object to be reflected without changing position.

Hence, an object can't be reflected over a line without changing its position.

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Answer:

n=6

Step-by-step explanation:

-4n=-24

4n=24

n=24÷4

=6

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

Like and give a 5-star rating

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Answer:

Nonlinear.

Step-by-step explanation:

Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.

Hope this helps.

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

There are 15 nickels and 3 quarters.

Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)

A jar contains 12 more nickels than quarters.

x = 12 + y  

x - y = 12               (1)

Also the, total value of the quarters equals the total value of the nickels. hence:

0.05x = 0.25y

0.05x - 0.25y = 0     (2)

Therefore x = 15, y = 3

Therefore there are 15 nickels and 3 quarters.

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There are 3 quarters in the jar.

Let n = number of nickels and n' = number of quarters

Since the jar contains 12 more nickels than quarters, we have

n = n' + 12  (1)

Also, the total value of the quarters equals the total value of the nickels.

Since one nickel = $ 0.05 and 1 quarter = $ 0.25

n × 0.05 = n' × 0.25

0.05n = 0.25n'

Dividing both sides by 0.05, we have

n = 0.25n'/0.05

n = 5n'

Substituting n = 5n' into (1), we have

n = n' + 12

5n' = n' + 12

5n' - n' = 12

4n' = 12

Dividing both sides by 4, we have

n' = 12/4

n' = 3

So, there are 3 quarters in the jar.

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Answer:

b)A line segment

because a line segment has fixed two points.

Answer:

-12x

Step-by-step explanation:

6x+(-12x/2)+(-24x/2)

=6x+(-6x)+(-12x)

=6x-6x-12x

=-12x

Answer:

-2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2

Answer:

7.52 million divided by 1

Step-by-step explanation:

Answer:

This problem is in Point Slope form:

To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:

To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:

Hope this helps you :)

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

Answer:

They both had the same amount of students watch the reality show.

Step-by-step explanation:

To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.

For Mrs. Thorne's:

36 * (2/3) = 24 students

For Mrs. Lombardo's:

30 * (4/5) = 24 students

24 = 24 so they had an equal amount of students from each class watch the reality show.

Given info:- If a +b = 100, then the value of 3 (a+b) is:

Solution:-

a + b = 100

Therefore, 3(a+b)

= 3(100)

= 300.Ans

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Similar Questions

Find the value of a*b* if n = 3, a = 100, and b=1/4..

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Answer:

500 shots

Step-by-step explanation:

the question is 8% of what number is 40?

we can use this proportion:  is/of = %/100

let 'g' = number of goals

40/g = 8/100

cross-multiply to get:

8x = 4000

x = 500

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4