1.### What is 49% of 130?

Answer:
63.7

Explanation:

To calculate 49% of 130, you multiply 130 by 0.49 (which is the decimal equivalent of 49%).49% of 130=130×0.49=63.749% of 130=130×0.49=63.7Therefore, 49% of 13049% of 130 is 63.7

2.### What is the prime factorization of 36?

Answer:
2 x 2 x 3 x 3

Explanation:

The prime factorization of a number involves breaking it down into its prime factors. In this case, the number 36 can be broken down into 2 x 2 x 3 x 3. This means that 2 and 3 are the prime factors of 36, and they are repeated twice each.

3.### If a $100 item is discounted 25% and then that price is raised by 25%, what is the new price?

Answer:
93.75

Explanation:

If a $100 item is first discounted by 25% and then the discounted price is raised by 25%, you can calculate the new price as follows:

1. First, calculate the discounted price after a 25% discount:

Discounted Price = Original Price - (Discount Percentage * Original Price)

Discounted Price = $100 - (0.25 * $100)

Discounted Price = $100 - $25

Discounted Price = $75

2. Now, calculate the price after raising the discounted price by 25%:

New Price = Discounted Price + (Raise Percentage * Discounted Price)

New Price = $75 + (0.25 * $75)

New Price = $75 + $18.75

New Price = $93.75

So, the new price after the 25% discount and then a 25% raise is $93.75.

1. First, calculate the discounted price after a 25% discount:

Discounted Price = Original Price - (Discount Percentage * Original Price)

Discounted Price = $100 - (0.25 * $100)

Discounted Price = $100 - $25

Discounted Price = $75

2. Now, calculate the price after raising the discounted price by 25%:

New Price = Discounted Price + (Raise Percentage * Discounted Price)

New Price = $75 + (0.25 * $75)

New Price = $75 + $18.75

New Price = $93.75

So, the new price after the 25% discount and then a 25% raise is $93.75.

4.### What is the cube of 12?

Answer:
1728

Explanation:

The cube of a number is obtained by multiplying the number by itself thrice. In this case, the cube of 12 is calculated as 12 x 12 x 12, which equals 1728.

5.### What is the measure of an angle that covers 5% of a circle?

Answer:
18 Degrees

Explanation:

The measure of an angle that covers 5% of a circle can be found by multiplying the percentage (5%) by the total degrees in a circle (360 degrees) and dividing by 100. Therefore, 5% of 360 degrees is 18 degrees.

6.### Approximately how many centimeters are in one foot?

Answer:
30 Centimeters

Explanation:

One foot is equal to approximately 30 centimeters. This conversion is based on the fact that 1 foot is equal to 12 inches, and 1 inch is equal to 2.54 centimeters. Therefore, when we multiply 12 inches by 2.54 centimeters, we get approximately 30 centimeters.

7.### How do you write 0.013 in scientific notation?

Answer:
1.3 x 10^-2

Explanation:

To write a number in scientific notation, we move the decimal point to the right or left until there is only one non-zero digit to the left of the decimal point. In this case, 0.013 can be written as 1.3 x 10^-2 because we moved the decimal point two places to the right to get the non-zero digit 1.3. The negative exponent indicates that the decimal point was moved to the left.

8.### What is the square of 14?

Answer:
196

Explanation:

The square of a number is obtained by multiplying the number by itself. In this case, the number is 14. Therefore, to find the square of 14, we multiply 14 by 14, which equals 196.

9.### If the perimeter of a square is 20 centimeters, how long are its sides?

Answer:
5 Centimeters

Explanation:

The perimeter of a square is the sum of all its sides. In this case, the perimeter is given as 20 centimeters. Since a square has all sides equal in length, we can divide the perimeter by 4 to find the length of each side. 20 divided by 4 is equal to 5, so each side of the square is 5 centimeters long.

10.### What is the measure of the angle that covers 81% of a circle?

Answer:
291.6 Degrees

Explanation:

The measure of the angle that covers 81% of a circle is 291.6 degrees. This can be determined by multiplying the percentage (81%) by the total degrees in a circle (360). Therefore, 81% of 360 is equal to 291.6 degrees.

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