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3 years ago

9.

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

Answer:

B) x = 2, y = 3, z = 5

Step-by-step explanation:

3x −2y + 4z = 20

3(2) - 2(3) + 4(5) = 20

20 = 20

−x + 5y +12z = 73

-2 + 5(3) + 12(5) = 73

73 = 73

x + 3y −2z = 1

2 + 3(3) - 2(5) = 1

1 = 1

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Simplify: StartRoot StartFraction 576 Over 64 EndFraction EndRoot The prime factorization of 576 is. The prime factorization of

riadik2000 [5.3K]

The prime factor of the 576 is $2^6 * 3^2$ and the prime factor of the 64 is $2^6$ . And the expression $\sqrt{\dfrac{576}{64}}$ is equal to 3.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is $\sqrt{\dfrac{576}{64}}$

The prime factor of the 576 will be

$576 = 2^6 * 3^2$

The prime factor of the 64 will be

$64 = 2^6$

Then the expression will be

$\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3$

More about the simplification link is given below.

brainly.com/question/12616840

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2 years ago

Suppose that your statistics professor tells you that the scores on a midterm exam were approximately

DedPeter [7]

Answer:

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

<u>Use the formula to find z-scores:</u>

z = (x - μ)/σ

z = 1.04, μ = 78, σ = 7

<u>Substitute the values and solve for x:</u>

1.04 = (x - 78)/7
x - 78 = 7.28
x = 85.28

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A

5 0

3 years ago

Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?<br>

pantera1 [17]

Answer:

Step-by-step explanation:

In the first image, AC=13, and in the second image, DE=26. so basically, every measurement is simply doubled.

12(2)= 24, DE=24

5(2)=10, EF= 10

Let me know if you need further explanation!

8 0

3 years ago

CAN SOMEONE HELP ME! I can't fail

ivanzaharov [21]

Answer:

Step-by-step explanation:

Eqtn:25-3x

Value of X=-2

$Given X=-2, \ Rewrite \ Eqtn \ to \ replace \ X \ value\\Hence= 25-3(-2)\\ =25+6\\=31$

5 0

3 years ago

The kite shown has a width of 24 inches and a total height of 42 inches. What is the total area of the kite without the tail? Sh

joja [24]

Answer:

504 in²

Step-by-step explanation:

The area of a kite is given by :

(a * b) / 2

Where a and b are the width and height of the kite :

Width = 24 inches ; height = 42 inches

Hence,

Area of kite = (24 * 42) / 2

Area of kite = 24 * 21

Area of kite = 504 in²

3 0

3 years ago