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4 years ago

Simplify 14(1.2)^10?

1 answer:

8 0

1790988582563.6448is your answer. All you do is multiply 14 times 1.2, which equals 16.8. Then you do 16.8 times itself. 16.8 x 16.8 = 282.24. Then 282.24 times itself, and so on so forth.

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Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator?

zlopas [31]

The number of ways people can get off the elevator is 604800 ways.

In this question,

Number of people, n = 7

Number of floors, r = 10

The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.

Number of ways people can get off the elevator can be calculated as

⇒ $nP_r=\frac{n!}{(n-r)!}$

⇒ $10P_{7}=\frac{10!}{(10-7)!}$

⇒ $10P_{7}=\frac{10!}{(3)!}$

⇒ $10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}$

⇒ $10P_{7}=(10)(9)(8)(7)(6)(5)(4)$

⇒ 604800 ways.

Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.

Learn more about number of ways here

brainly.com/question/27992615

#SPJ4

4 0

2 years ago

Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).

Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}$

Substitute m = 5/8 and the point (4,4) into the point slope form.

$y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}$

3 0

4 years ago

The government department responsible for laws concerning work is the _____.

boyakko [2]

Employment laws legislation i think

6 0

3 years ago

Read 2 more answers

Find the slope using the following two points:<br> (2,-7) and (-1,6)

Advocard [28]

Answer:

13/-3

Step-by-step explanation:

Y2-Y1/X2-X1

7 0

3 years ago

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation

Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

6 0

4 years ago