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THANK YOU.

Answer:

[tex]V=6912ft^3[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter  [tex]D=40ft[/tex]

Radius [tex]r=d/2=>20ft[/tex]

Depth at south [tex]d_s=3ft[/tex]

Depth at north [tex]d_n=8ft[/tex]

Average depth of the pool

 [tex]d_a=\frac{3+8}{2}[/tex]

 [tex]d_a=5.5ft[/tex]

Generally the equation for Volume is mathematically given by

 [tex]V=\pi r^2h[/tex]

 [tex]V=3.142*(20)^25.5[/tex]

 [tex]V=6912ft^3[/tex]

Answer:

ok what is your question.

Answer:0.02

Step-by-step explanation:

The answer is 2.1 Km. Hope this helps!

Answer:

a.9

b.9

c.6

d.0

e.5

f. 1

g.4

h.6

i.4

j.1

Answer:

225 quarters are easy to loose and who will accept that many quarters

Step-by-step explanation:

Answer:

quarters

You will get more money

The coordinates of the image after a dilation by scale factor -1/3 with center (-1, 2) are (0, 2), (0, 4), and (-1, 4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of -1/3 centered at the point (-1, 2) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A, we have;

Coordinate A = (-4, 2)  →  (-1/3(-4 - (-1)) + (-1), -1/3(2 - 2) + 2)

Coordinate A = (-4, 2)  →  (-1/3(-4 + 1) - 1, -1/3(2 - 2) + 2)

Coordinate A' = (1, 1)  →  (0, 2)

For coordinate B, we have;

Coordinate B = (-4, -4)  →  (-1/3(-4 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate B = (-4, -4)  →  (-1/3(-4 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate B' = (1, 1)  →  (0, 4)

For coordinate C, we have;

Coordinate C = (-1, -4)  →  (-1/3(-1 - (-1)) + (-1), -1/3(-4 - 2) + 2)

Coordinate C = (-1, -4)  →  (-1/3(-1 + 1) - 1, -1/3(-4 - 2) + 2)

Coordinate C' = (1, 1)  →  (-1, 4).

Read more on dilation here: brainly.com/question/20482938

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Answer:

1. LCM of 18 & 12 = 36 minutes

2. 0.00095897

explanation.

2 18 2 12

____I______ ___l_________

3 9 2 6

____l_______. ___I_________

3 3 3 3

_____l________. ___l_________

l 1

18= 2×3×3 12=2×2×3

1 2 2 1

=1 × 3 =2 × 3

L.C.M= product of greatest power of each prime factor.

2 2

= 2 × 3

=4×9 = 36

hence, time taken by both to meet again

LCM of 18 & 12 =36 minutes

Answer:

39.2 AU.

Step-by-step explanation:

If my memory serves me right an astronomical unit is 93,000,000 miles.

So the answer is 3647720000/93000000

= 39.2 AU.

Answer: 0%?

Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.

The probability is 0.160

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

mean (μ) = 68 inches

Standard Deviation (σ) = 3

We know,

Z = [tex]\frac{x - mean}{standard deviation}[/tex]

From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%

                                                  = 16%

The probability that a randomly selected student will be taller than 72 inches = 16/100

           = 4/25

           = 0.16

           = 16%

Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

x = 3.7

Step-by-step explanation:

15.61 + 4 = 19.61

19.61 divided by 5.3 = 3.7

Therefore, x = 3.7

Also because it syas "5.3x", it means you have to times that number and x to get the total number; so we can do the equation.

Answer:

I believe it is the first choice

Step-by-step explanation:

As the x-values go to positive infinity, the function's

values go to negative infinity is the answer because the x-valures are in the first coordinate which is positive but the functions is going negative because of the line in the 3rd coordinate.

I tried my best, i hope you get it correct.

Please let me know if this is correct or not, if not i will edit my answer.

Please mark brainliest :)

Answer:

only 20 students would

Step-by-step explanation:

the probability would be very since it is 20 out of 115. i hope this helped

Answer:

Step-by-step explanation:

The product of 35 and (-1) is -35.

As,

35 × (-1) = -35

Answer: Rachel gets a total of 2459 dollars to save each month.

Step-by-step explanation:

200+9+50+200+82=541

3000-541=2459

Answer:

10x² + 16xy + 6x

Step-by-step explanation:

2x(5x+8y+3)

10x² + 16xy + 6x

Answer:

[tex]10x^{2} + 16xy + 6x[/tex]

Hope this helped!

Answer:

67 mph

Step-by-step explanation:

201/3 = 67

Answer:

m = 0

General Formulas and Concepts

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points

Point (-6, 8)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

180

Step-by-step explanation:

120 divide by 2

then times by 3

Answer:

400

Step-by-step explanation:

sqrt(160000)=sqrt(16)*sqrt(10000)=4*100

Answer:

7 442,84

Step-by-step explanation:

BC would equal the same as EF, they are similar. All you would have to do is figure out the pre image (BC) of EF.

Answer: 8

Step-by-step explanation:

Step-by-step explanation:

V≈3323.42cm³

r Radius

11.2

cm

h Height

25.3

cm

Solution

V=πr2h

3=π·11.22·25.3

3≈3323.41966cm³

hope it is helpful

Answer:

The volume of the rock is 648 cm^3

Step-by-step explanation:

Likely the only dimension that is free to move is the depth of 7 cm.

Volume of the Rock = L * W * h1

L = 24

W = 10

h1 = 2.7

V = 24 * 10 * 2.7

V = 648 cm^3

Answer:

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2\sqrt{x + 49} +49\ln|\frac{\sqrt{x + 49}-7}{\sqrt{x + 49}+7}|+c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx[/tex]

Required

Solve by substitution

Let:

[tex]u = \sqrt{x + 49}[/tex]

Square both sides

[tex]u^2 = x + 49[/tex]

Differentiate

[tex]2udu = dx[/tex]

Also notice that:

[tex]x = u^2 - 49[/tex]

So, we have:

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{u}{u^2 - 49}} \, 2udu[/tex]

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{2u^2}{u^2 - 49}} \, du[/tex]

Add 0 to the numerator

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{2u^2+0}{u^2 - 49}} \, du[/tex]

Express 0 as 98 -98

[tex]\int\limits {\frac{\sqrt{x + 49}}{x}} \, dx =\int\limits {\frac{2u^2-98+98}{u^2 - 49}} \, du[/tex]

Split the fraction

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( \frac{2u^2-98}{u^2 - 49}+\frac{98}{u^2 - 49} )\, du[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( \frac{2(u^2-49)}{u^2 - 49}+\frac{98}{u^2 - 49} )\, du[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( 2+\frac{98}{u^2 - 49} )\, du[/tex]

Rewrite as:

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =\int( 2+\frac{98}{u^2 - 7^2} )\, du[/tex]

Integrate

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +\int\frac{98}{u^2 - 7^2} \, du[/tex]

Remove constant (98)

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +98\int\frac{1}{u^2 - 7^2} \, du[/tex]

As a general rule,

[tex]\int \frac{1}{x^2 - a^2} \, dx = \frac{1}{2}\ln|\frac{x-a}{x+a}|[/tex]

So, we have:

[tex]\int \frac{1}{u^2 - 7^2} \, du = \frac{1}{2}\ln|\frac{u-7}{u+7}|[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +98\frac{1}{u^2 - 7^2} \, du[/tex] becomes

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +98*\frac{1}{2}\ln|\frac{u-7}{u+7}|+c[/tex]

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2u +49\ln|\frac{u-7}{u+7}|+c[/tex]

Substitute values for u

[tex]\int{\frac{\sqrt{x + 49}}{x}} \, dx =2\sqrt{x + 49} +49\ln|\frac{\sqrt{x + 49}-7}{\sqrt{x + 49}+7}|+c[/tex]

A1/ the difference of 3 and x divided by 7

A2/ 3e - 5

A3/ -1

A4/ g + (g - 8)

A5/ One half the difference between eight and a number y

I'm not sure, but I hope it helps :)

Answer:

1+1=11 2+2=22 ok na yan kuya or ate

Answer:

The probability of picking a red marble first then replacing it and getting a black marble is 2/9. (The last option.)

Step-by-step explanation:

Hey there!

The probability of first getting a red marble is 1/3 since we have 1 red marble out of 2 + 1 = 3 total.

We put the marble back. The probability of then choosing a black marble is 2/3, since we have 2 black marbles out of 3 total.

So we get 1/3 * 2/3 = 2/9

The probability of picking a red marble first then replacing it and getting a black marble is 2/9. (The last option.)

Hope this helps, please mark brainliest if possible. Have a nice day. :)