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3 years ago

When multiplying exponential terms with the same base, which best explains how to simplify the expression?

Mathematics

1 answer:

ololo11 [35]3 years ago

5 0

Answer:

First answer: "Add the exponents"

Step-by-step explanation:

The laws of exponents include the following for product of exponents with the same base:

$x^a\,*\,x^b = x^{a+b}$

which implies addition of exponents

So you need to add exponents

You might be interested in

F(x) = {4x² – 1, x = -2 x > -2 la -x, what is f(0)

beks73 [17]

Yes that answer is accurate

5 0

3 years ago

which of the following is not a way to represent the solution of the inequality 8x − (5x 4) greater than or equal to −31? a. x g

IgorLugansk [536]

8x - (5x + 4) ≥ -31

8x -5x - 4 ≥ -31

3x ≥ -31 + 4

3x ≥ -27

x ≥ - 9

Answer: a numbe line with a circle on - 9 and shading to the left.

Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.

7 0

3 years ago

In a chess tournament, each player plays every other player exactly once. If it is known that 105 games were played, how many pl

diamong [38]

Answer:

15 players played in the chess tournament.

Step-by-step explanation:

When there are 15 players, the first player plays 14 games and step aside.

remaining 14 player

next player plays 13 games. steps aside

remaining 13 players

next player plays 12 games. steps aside

remaining 12 players

next player plays 11 games. steps aside

remaining 11 players

Last player plays 1 game and steps aside

remaining 1 player who will not play against himself.

∴ Sum of all games played

= 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played

3 0

4 years ago

What is the solution to the equation PLS

brilliants [131]

Answer:

x=2.5

Step-by-step explanation:

the first thing you want to do is simplify like terms.

you could say this is as 4(x+7)=38

this can easily be solved algebraically.

first use distributive property on the four

this leaves you with 4x+28=38

next, subtract 28 from both sides

4x=10

now divide everything by four and you get x=2.5

6 0

3 years ago

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

3 years ago