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Karo-lina-s [1.5K]
3 years ago
8

What is -5/4 to the 2nd power?

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

\frac{25}{16}

Step-by-step explanation:

(-\frac{5}{4})^2\\\\ \text {Apply power of a fraction rule: } (\frac{a}{b})^x=\frac{a^x}{b^x}\\\\(-\frac{5}{4})^2 = \frac{-5^2}{4^2}=\frac{25}{16}\\\\\boxed{(-\frac{5}{4})^2=\frac{25}{16}}

You might be interested in
The lengths of the diagonals of rectangle ABCD intersect at E. If AE =x+4 and CE= 3x-12. What is the length of BD?
swat32

Answer:

DB = 24

Step-by-step explanation:

First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.

Also, AE + CE = CA

So, using this, we can write this equation:

AE = CE

x + 4 = 3x -12

Subtract 4 from both sides.

x = 3x -16

Subtract 3x from both sides.

-2x = -16

Divide both sides by -2

x = 8

Then, substitute this into AE + CE = CA

x + 4 + 3x - 12 =

8 + 4 + 24 - 12 = 24

Then, because CA = DB,

DB = 24

I hope this helps! Feel free to ask any questions! :)

5 0
3 years ago
Read 2 more answers
HURRY!
kirza4 [7]
Answer: $2.26
10% of $52.50 is 5.25. Then, $52.50-$5.25 is $47.25. $49.99-$47.25 is $2.26
4 0
3 years ago
What is the measure of W the parallelogram shown?
nexus9112 [7]

Answer:

148 degrees

Step-by-step explanation:

For a parallelogram, angles on the same side sum up to be 180

what this simply means is that they are supplementary

Mathematically, we have it that;

X + W = 180

W = 180 - X

W = 180 -32

W = 148 degree

6 0
3 years ago
You are a furniture restorer who is mixing a solution of olive oil and lemon juice. The solution is for polishing wooden furnitu
zzz [600]

The correct answer is A. 1.5 cups

Explanation:

The total of polishing wooden furniture is equivalent to the total of olive oil plus the total of lemon juice. Additionally, in this case, the result should be given in cups. First, let's consider the values given.

50% of a cup of lemon juice + 25% of a quart with olive oil

The first quantity 50% of a cup of lemon indicates half cup of lemon was added, which is equivalent to 0.5 cups as 1 cup = 100% of a cup and 50% is the half.

Now, the second quantity is provided in quarts, which is not the same as a cup. Indeed 1 quart is equivalent to 4 cups, which represents 100%. This means 100% = 4 cups. Now, to calculate the 25% follow this procedure.

1. Write the values

4  =  100 (total  percentage)

x =    25 (percentage to be calculated

2. Solve this by using cross multiplication

x100 = 4 × 25

x100 = 100

x = 100 ÷ 100

x = 1 (cups in 25%)

This means 1 cup of olive oil was added and this plus 0.5 cup of lemon juice is equivalent to 1.5 cups of solution.

6 0
3 years ago
Compensation for 195x5=
Aleks04 [339]
The answer to 195x5 is 975
7 0
3 years ago
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