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3 years ago

If x=5, evaluate x^5 * x^-3

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer: 25

Step-by-step explanation:

Plug in x to the expression.

$5^5 * 5^{-3}\\$

When there is the same base of exponents is being multiplied the exponents add together and the base stays the same.

So this simplifies to, $5^2$ .

This then solves to 25.

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Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kin

BigorU [14]

Answer:

1/221

Step-by-step explanation:

There are 4 kings in a standard deck of cards

P( one king) = number of kings/ number of cards

4/52

= 1/13

Then we do not put the card back. Now we have 3 kings and 51 cards

P(2nd king) = number of kings/ number of cards

=3/51

=1/17

We need to multiply these together

P( one king, 2nd king without replacement) = 1/13*1/17 = 1/221

7 0

3 years ago

A trapezoid has an area of 95 square meters. If the bases are 7 meters and 12 meters what is the height of the trapezoid

Colt1911 [192]

ANSWER

The is 10 is meters

EXPLANATION

The area of a tra-pezoid can be calculated using the formula;

$Area= \frac{1}{2} \times (sum \: of \: bases) \times height$

We substitute the values to get,

$95= \frac{1}{2} \times (7 + 12) \times height$

$2 \times 95= 19 \times height$

$\frac{190}{19} = height$

$height = 10$

The height is 10 meters.

6 0

3 years ago

In the diagram below de and ef are tangent to o what is the measure of E

Andreyy89

Answer: 32

Step-by-step expanation:

7 0

3 years ago

Read 2 more answers

What does unit rate mean

satela [25.4K]

Answer:

Unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles, per hour, cost per item, earnings and per week

Step-by-step explanation:

6 0

3 years ago

Write the product in the simplest form 3x1/6

igomit [66]

Answer:

1/2

Step-by-step explanation:

3 * 1/6 = 3/6

Which can simplify to 1/2 if you divide the top and bottom by 2.

7 0

3 years ago