Square root of x to the 6th power over y to the 4th power

Answers

Answer 1

Answer: √((x^6)/(y^4))

x^6 indicates x to the sixth power, the same goes for y^4.

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How do you " find, to the nearest tenth of an inch, the diagonal of a square whose perimeter is 28 inches ?"

Answers

Well if the perimeter is 28 inches, each side of the square is 7 inches. 28/4 = 7 because all sides of a square are the same.

If we split the square in half to create 2 triangles we can find the length of the diagonal. The two sides are the bases of 7 inches.

Use the Pythagorean theorem to solve for the hypotenuse or the diagonal.

7^2 + 7^2 = diagonal ^ 2

Therefore, the diagonal equals 9.9 inches.

The cost of 8 muffins and 2 quarts of mil is $18. The cost of 3 muffins and 1 quart of milk is $7.50 hos much does 1 muffin and 1 quart of milk cost ?

Answers

Answer:

The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

Step-by-step explanation:

Let us assume that the cost of one muffins be x.

Let us assume that the cost of one 1 quarts of milk be y.

As given

The cost of 8 muffins and 2 quarts of mil is $18.

Than the equation becomes

8x + 2y = 18

As given

The cost of 3 muffins and 1 quart of milk is $7.50.

Than the equation becomes

3x + 1y = 7.50

Two equations are

8x + 2y = 18 and 3x + 1y = 7.50

Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .

Thus

8x - 6x + 2y - 2y = 18 - 15

2x = 3

$x = (3)/(2)$

x = 1.5

Put x = 1.5 in 3x + 1y = 7.50

3 × 1.5 + y = 7.50

y = 7.50 - 4.5

y = 3

Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Answers

Answer:

Yes, the two events are independent because P(NF|PB)=P(NF).

Step-by-step explanation:

What is the least common multiple of 27 and 36

Answers

The least common multiple of 27 and 36 is 108.

What is the least common multiple?

The least common multiple is defined as the smallest multiple that two or more numbers have in common.

Given that, what is the least common multiple of 27 and 36,

To find the LCM of 27 and 36, we need to find the multiples of 27 and 36 Multiples of 27 = 27, 54, 81, 108;

Multiples of 36 = 36, 72, 108, 144

The smallest multiple that is exactly divisible by 27 and 36, is 108.

Hence, the least common multiple of 27 and 36 is 108.

Learn more about LCM, click;

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To get the Least Common Multiple (LCM) of 27 and 36 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

27: 33336: 2233 LCM: 22333

The Least Common Multiple (LCM) is: 2 x 2 x 3 x 3 x 3 = 108

What is the discriminant of the quadratic equation 2x + 5x2 = 1?–18
–16
22
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