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andrey2020 [161]
2 years ago
12

12 is what percent of 96

Mathematics
1 answer:
DaniilM [7]2 years ago
8 0
12 * 100 = 1200/96 = 12.5 
Answer = 12.5%
You mulitply 12 by a hunndred, since a percent means "out of a hundred." Then, you divide that, by 96, since, you want to find the percent out of 96.

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Five comedians (Joe, Beth, Seth, Lucia and Darth) are planning a show. The order of each performance is randomly selected. How m
Mademuasel [1]
The show of the five comedians should be around three
3 0
2 years ago
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<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B4%7D%20%20-%206%20%7Bx%7D%5E%7B3%7D%20%20%2B%2022%20%7Bx%7D%5E%7B2%7D%20%20-%2
alexira [117]

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

3 0
3 years ago
If f(x) = x3 - 12x2 + 44x - 48, which of the following is not a factor of f(x)? O (x + 4) O (x - 6) O (x - 2) O (x - 4)​
denis-greek [22]

Answer:

(x + 4)

Step-by-step explanation:

x - 2 = 0, so x = 2

x - 4 = 0, so x = 4

x - 6 = 0, so x = 6

8 0
2 years ago
What is the area of Vivian’s garage door?
sergey [27]

The area  of Vivian’s garage door is 62.5 square feet

<h3>Area of composite shape.</h3>

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet

Hence the area  of Vivian’s garage door is 62.5 square feet

Learn more on composite shapes here: brainly.com/question/8370446

#SPJ1

3 0
1 year ago
Round the following to the nearest cent: $16.997
Paul [167]
\$16.99\underbrace{7}_{>5}\approx\$17.00
7 0
3 years ago
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