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Answer:

1584 cu in.

Step-by-step explanation:

Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation

28 = 2^2(7)k = 28k

k = 1

Now V = r^2h

V = (12)^2(11) = 144(11) = 1584 cu in.

[tex] \tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

Now, we know that :

[tex] \tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}[/tex]

By cross multiply :

[tex] \tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)[/tex]

[tex] \tt : \implies 12x^{2} + 48 = 5x^{2}-20[/tex]

[tex] \tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 68 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 0x + 68 = 0[/tex]

Now, by comparing with ax² + bx + c = 0, we have :

By using quadratic formula :

[tex] \large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}[/tex]

[tex] \tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}[/tex]

[tex] \tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}[/tex]

[tex] \tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}[/tex]

[tex] \large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}[/tex]

Hence value of [tex] \bf x =\dfrac{\pm 2\sqrt{119}}{7}[/tex]

Answer:

I think this answer is right if no tell me please :)

Answer:

168.15

Step-by-step explanation:

100%-> 295

57%->168.15

Answer:

She can make five bcs she can

Answer:

B= -3/4

Step-by-step explanation:

there are two points given substitute them in the formula of the slope

9514 1404 393

Answer:

Step-by-step explanation:

a) The circumference of the circle is given by ...

  C = πd

  C = (3.14)(5.5 mi) = 17.27 mi

The distance around the lake is about 17.27 miles.

__

b) The area is given by ...

  A = πr^2 . . . . . where r = d/2

  A = (3.14)(2.75^2) ≈ 23.75 . . . . square miles

The surface area of the lake is about 23.75 square miles.

_____

If you use a more exact value of pi (the "pi button" for example), then the hundredths digit increases by 1 in each case: 17.28, 23.76.

Answer:

it would be ( 0 , − 10 ) , ( 1 , − 7 ) , (2 , − 4 )

Step-by-step explanation:

Choose three values for  x and substitute in to find the corresponding  y  values.

An expression that represents the given calculation is (450 + 348) × 7

The correct answer is an option (B)

"It is a combination of numbers, variables and some mathematical operations."

It is an acronym and it stands for Bracket , Order , Division , Multiplication , Addition and Subtraction .

In this question ,

its been said to first add then multiply

First add 450 to 348

(450 + 348)

now multiply the result with 7

(450 + 348  ) × 7

Therefore, an expression that represents the given calculation is (450 + 348) × 7

The correct answer is an option (B)

Learn more about BODMAS

https://brainly.com/question/23827397

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Answer:

The answer is -7

Step-by-step explanation:

I took the test! Hope this helps <3

Answer:

B. 11 left, 11 up

Answer:

A. geometric

Geometric sequence has a common ratio.

Answer: A

Step-by-step explanation: A geometric sequence has a common ratio which can be gotten by dividing the second term by the first term or the third term by the seconds

while an arithmetic progression has a common difference instead

Answer:

See explanation below

Step-by-step explanation:

This is actually pretty easy to explain, and we all need to do is work with fractions.

So we have a recipe for chicken and rice, but the person decides to use 2/3 of the recipe. to determine the quantity of each ingredient to be used, we just need to multiply the cups of each ingredient by 2/3, and that's it.

Let's go with each ingredient, one by one:

Chicken broth 2 2/3 cups:

In this case, let's convert the 2 2/3 to a simple fraction. (We just multiply the denominator by the single number and then, sum the numerator)

2 2/3 = (3*2) + 2 / 3 = 8/3 of cups

8/3 * 2/3 = 16/9 cups of chicken.

But to do this better, let's convert this into a mix fraction:

16 : 9 = 1  and the rest is 7 so:

Chicken 1 1/2 cups:

We'll do the same thing as before:

1 1/2 = (2*1) + 1 / 2 = 3/2 of cups

3/2 * 2/3 = 1

3/4 cups or rice:

3/4 * 2/3 = 1/2

Hope this helps

Answer:

hope this helps

Step-by-step explanation:

1/4×3=3/4

1/3×4=1 1/3

1/2×3=1 1/2

now add all the fractions together

Answer:

She used 43/12 or 3 7/12

Step-by-step explanation:

Learned this during math class and this was the exact problem. Have a good day:)

Answer:

43

Step-by-step explanation:

you plug in the values

3m^2 + 2p^2 - 15

= 3(3)^2+2(10)^2-15

= 3×9+2×100-15

= 27+200-15

= 227-15

= 212

Just subtitute the value of m and p to the equation

Hope it help u :)

Answer:

100/500 = 0.2

common ratio is 0.2

Answer:

B.31

Step-by-step explanation:

That's the answer.

Answer:

x = 31

Step-by-step explanation:

By Linear Pair

3x + 31 + 2x - 6 = 180

5x + 25 = 180

5x = 155

x = 31 Answer

Answer:

6.40

Step-by-step explanation:

8 decreased by 20% is 6.40

Answer:

110

Step-by-step explanation:

They are equal to each other.

23x-5= 21x +5

2x = 10

x = 5

21(5) +5 = 110°

23(5) -5 = 110°

So it works. Angles are 110°

Answer:

$351.58

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Current balance = -$250.25

Other charge (debit) = $101.33

So, Now the current balance in the account are as follows,

Current balance = - $250.25 + (- $101.33)          (debit is negative)

Current balance = -$250.25 -$101.33

Current balance =  -$351.58

So, we need $351.58 to bring account balance to $0.

Answer:

Question 1: 12x

Question 2: 16x

Question 3: 12x+8y

Step-by-step explanation:

Answer:

1. A. 12 x

2.A. 16x

3. B. 12+8y

Problem 3

Explanation: The angles opposite the congruent sides, are congruent angles. We consider these the base angles. This triangle is isosceles.

==================================================

Problem 4

Explanation:

Refer to the diagram below. Note how I've added in the variable y and marked another angle as 53 degrees which is one of the base angles of the left triangle. The base angles of the triangle on the right are y degrees each. Also, note the vertical angles both are y.

For the left triangle, the three angles add up to 180 which means we can solve for y to go from 53+53+y = 180 to y = 74

Then the interior angles of the triangle on the right has the three angles (y,y,x) add to 180 as well. So we have y+y+x = 180 which turns into 74+74+x = 180. That solves to x = 32

==================================================

Problem 5

Explanation:

Refer to the diagram below. I've added another base angle x, and the angle 90-x is complementary to this. This is because the two pieces must add to 90.

For the triangle on the bottom, the two base angles 74 and 74, add to the third angle 90-x and we would get 180. So we solve 74+74+(90-x) = 180 to get x = 58

Answer:

3. x = 47

4. x = 32

5. x = 58

Step-by-step explanation:

119 + 1 + 3 + 5 =            add that if i am wrong sorry but have  a nice day <3

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

so we have 16 teams and we are chosing two

so this formula is called the chose formula

and the formula is 16*(16-1)/2!=16*15/2=120

Answer:

graph your welcome :)

Step-by-step explanation: