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3 years ago

Which of these is NOT equivalent to 2-^3.

Mathematics

1 answer:

shusha [124]3 years ago

7 0

2^2 times 2^-5 i think but i am not positive

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A home owner wants to purchase two different chairs for the living room, one for in front of the fire place and one for in front

Ipatiy [6.2K]

Using the combination formula, it is found that photos of 9 different chairs were shown to the home owner.

The order in which the chairs are chosen is important, hence, the permutation formula is used to solve this question.

<h3>What is the permutation formula?</h3>

$P_{n,x}$ is the number of different permutations of x objects from a set of n elements, given by:

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

In this problem, two chairs are chosen from a set of n, and there are 72 different outcomes, hence:

$P_{n,x} = 72, x = 2$

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

$72 = \frac{n!}{(n-2)!}$

$72 = \frac{n(n - 1)(n - 2)!}{(n-2)!}$

$n^2 - n = 72$

$n^2 - n - 72 = 0$

Which is a quadratic function with coefficients $a = 1, b = -1, c = -72$ , hence:

$\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-72) = 289$

Taking the positive root:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{289}}{2} = 9$

Photos of 9 different chairs were shown to the home owner.

You can learn more about the permutation formula at brainly.com/question/25925367

3 0

2 years ago

What is 10 divied by 7/8

Zielflug [23.3K]

Answer:

11.43

Step-by-step explanation:

10 divided by 7/8

Set the expression:

(10/(7/8))

To solve, flip the denominator fraction, and make the division into multiplication:

((10 x 8)/7)

Multiply across, then divide:

(80)/7

Divide:

80/7 = 11.43 (rounded)

11.43 is your answer.

4 0

4 years ago

Read 2 more answers

Muffins74blueberry muffins7banana nut muffins6pumpkin spice muffins11

BartSMP [9]

6/74 i think. So #banananutmuffin/#muffinsintotal

6 0

3 years ago

How do you slove 3x+4y=8 in steps

gavmur [86]

3x+4y=8
Add -4y to both sides
3x+4y+−4y=8+−4y3x=−4y+8
Then you divide both sides by 3
3x/3=−4y+8/3x=−4/3y+8/3
And your answer is ...
x=−4/3y+8/3

7 0

3 years ago

Hannah walks dogs for four different families. She charges each family the same amount of money per hour. The numbers of hours s

Umnica [9.8K]

Answer:1 1/4+2 1/6+1 1/3+3=12.916_

12.916/93=.13888172 dollars an hour.

.13888172(h)=m

Step-by-step explanation:i converted to decimals but its still the same

8 0

3 years ago