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Ostrovityanka [42]
3 years ago
12

Which of the following are true statements about the expression 5^12?

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

A. 5 is the base

D. 12 is the exponent and tells us how many times we should multiply 5 by itself

Step-by-step explanation:

The given expression is

5^{12}

This is a number written in an index notation.

The base is 5.

The exponent is 12.

The exponent tells us how many times the base multiplies itself.

Therefore 5^{12} means, 5 multiplies itself 12 times.

Options A and D are correct.

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A bag contains 135 marbles some white and some transparent. The ratio of white marbles to transparent ones is 3 : 6. How many wh
Setler [38]

Answer:

Number of white marbles in the bag = 45

Step-by-step explanation:

Total number of marbles in the bag = 135

Ratio of white marble to transparent ones = 3 : 6

Let number of white marbles be =3k

Then number of transparent marble will be =6k

Total number of marbles will be =3k+6k=9k

So we have.

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Dividing both sides by 9.

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3 years ago
Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T),
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The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The <u>Fundamental</u> <u>Counting</u> <u>Principle</u> is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

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