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Answer:

hello! :) have a good day!

Exact Form:

b =15/4

Decimal Form:

b =3.75

Mixed Number Form:

b =3 3/4

Answer:

To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.

Answer:

[tex]Volume = \frac{384}{7}\pi[/tex]

Step-by-step explanation:

Given (Missing Information):

[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]

Required

Determine the volume

Using Shell Method:

[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]

First solve for a and b.

[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]

Substitute 8 for y

[tex]8 = x^\frac{3}{2}[/tex]

Take 2/3 root of both sides

[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]

[tex]8^\frac{2}{3} = x[/tex]

[tex]2^{3*\frac{2}{3}} = x[/tex]

[tex]2^2 = x[/tex]

[tex]4 =x[/tex]

[tex]x = 4[/tex]

This implies that:

[tex]a = 4[/tex]

For [tex]x=0[/tex]

This implies that:

[tex]b=0[/tex]

So, we have:

[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]

[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]

The volume of the solid becomes:

[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]

Open bracket

[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]

[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]

[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]

Integrate

[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]

Substitute 4 and 0 for x

[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]

[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]

[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]

[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]

[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]

Take LCM

[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]

[tex]V = 2\pi * [\frac{448-256}{7}][/tex]

[tex]V = 2\pi * [\frac{192}{7}][/tex]

[tex]V = [\frac{2\pi * 192}{7}][/tex]

[tex]V = \frac{\pi * 384}{7}[/tex]

[tex]V = \frac{384}{7}\pi[/tex]

Hence, the required volume is:

[tex]Volume = \frac{384}{7}\pi[/tex]

The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.

Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:

[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)

If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]

[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]

[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]

[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]

[tex]V = \frac{10240\pi}{3}[/tex]

The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]

The statement is incomplete. Complete form is shown below:

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].

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Answer:

AW YEAHHHHHHHHHHHHHHHHHHHHHHHHHHH

Step-by-step explanation:

Answer:

OH YEAHHHH

Step-by-step explanation:

lol

Answer:

1.) three-point seven minutes

2.) three and seven-tenths minutes

Step-by-step explanation:

I hope I helped!!!

Answer:

42=3x+15

42-15+3x

27/3 = 9

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

3 is in the middle of the figure.

I hope this helps!

Answer:

[tex]y = 2250x + 1500[/tex]

Step-by-step explanation:

Answer:

1443.75 i think

Step-by-step explanation:

Thus,  Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.

The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.

Statistic is the study of mathematics which deal with relations between comprehensive data.

Using formula [tex]A = p(1+r/n)^{nt}[/tex]

[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011

Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.

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Answer:

A

Step-by-step explanation:

It must be the amount he sells since each piece costs $25 and he must reach his goal

Step-by-step explanation:

step 1. the sale is 20% off; that means times 0.8.

step 2. the additional coupon is 10% off of the sale price; that means times 0.9.

step 3. so the final price is (0.8)(0.9) times the retail price

step 4. (0.8)(0.9) = 0.72 or a 28% discount and not 30%.

Answer:

Value of blank = 1 / (-5x)

Step-by-step explanation:

Given:

__ × (-5x) = 1

Find:

Value of blank

Computation:

Assume;

Blank = y

So,

y × (-5x) = 1

y = 1 / (-5x)

Value of blank = 1 / (-5x)

Answer:

2 gallons x 3.79 = 7.58 liters

Step-by-step explanation:

1 gallon = 3.79 liters

so

2 gallons x 3.79 liters = 7.58 liters

2 x 3.79 = y liters

Answer:

Step-by-step explanation:

The correct expressions that represent the total number of inches braided by robin and Olivia is,

⇒ 4 (1/3g - 3)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Robin braided g inches of a friendship bracelet.

And, Olivia braided 12 less than 1/3 the number of inches robin braided.

Now, The total number of inches braided by Robin and Olivia = Number of inches braided by  Robin + Number of inches braided by Olivia

Hence, We get;

⇒ g + 1/3g - 12

⇒ 4/3g - 12

⇒ 4 (1/3g - 3)

Thus, The correct expressions that represent the total number of inches braided by robin and Olivia is,

⇒ 4 (1/3g - 3)

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Answer:

5x - 8 < 37

Step-by-step explanation:

I'm so sorry if this is wrong

Answer:

c)1 goal

Step-by-step explanation:

Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.

Hope this helps.

Answer:

Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]

Now we plug in numbers accordingly:

[tex]\frac{0 - 1}{0 - 2}[/tex]

Simplify:

[tex]\frac{-1}{-2} \\[/tex]

Simplify:

[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

Answer:

12

Step-by-step explanation:

3 times 4 is 12

Answer:

y = 3x

Step-by-step explanation:

you can use the equation to determine how many miles the whale swims in any desired hour

example, if you want to know how far it swims in 5 1/2 hours then just plug 5 1/2 in for 'x' and solve for 'y'

y = 3(5.5)

y = 16.5

whale travels 16.5 miles when going at a rate of 3 mph

Answer:

200 hours

Step-by-step explanation:

if it increases by 50% of 20 an hour, so it increases 10 and hour. 2000÷10=200

Answer:

342.29

Step-by-step explanation:

You take away the other decimal places.

The round-up to  2 decimal places of 342.296269789 will be 342.30.

To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.

In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,

342.296269789

Now,

The 3rd decimal digit is 6 which is greater than 5

So,

2nd digit will round up since it is 9 so it will round as 10 and gives 1 to the first decimal place.

So,

342.296269789 ⇒ 342.30.

Hence "The round-up to  2 decimal places of 342.296269789 will be 342.30".

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