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enot [183]
3 years ago
5

An expansion is a phase in the economic cycle that is characterized by

Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

Answer:

 An expansion is characterized by increasing employment, economic growth, and upward pressure on prices.

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Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn and rode 3 miles to the local swimming pool. I
11Alexandr11 [23.1K]

Answer:

1.8 miles

Step-by-step explanation:

For this case we can model the problem as a rectangle triangle.

 We know:

 Length of the sides of the triangle

 We want to know:

 Length of the hypotenuse

 Using the Pythagorean theorem we have:

 d=\sqrt{3^{2} +3^{2} }\\d = \sqrt{2(3^2)} \\d = 3\sqrt{2} \\d = 4.2 miles

 Then, the distance that he would have saved if he travels directly is:

 3 + 3 - 4.2 = 1.8 miles

 Answer:

 he would have saved:

 1.8 miles

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3 years ago
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Luke can build 2 tables in a day, and he has to build more than 18 wooden tables for a client. If he works for x days, what is t
kodGreya [7K]
The answer to the question is b
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Evaluate the given expression. Subscript 5 Baseline P Subscript 2 a. 40 c. 25 b. 32 d. 20
Leto [7]

Answer:

d. 20

Step-by-step explanation:

The given question implies 5 permutation 2, i.e _{5}P_{2}.

But,

_{n}P_{r} = \frac{n!}{(n - r)!}

So that for _{5}P_{2}, n = 5 and r = 2.

_{5}P_{2} = \frac{5!}{(5 - 2)!}

     = \frac{5!}{3!}

    = \frac{5*4*3*2!}{3*2!}

Cancel out 3 and 2 with respect to the numerator and denominator.

_{5}P_{2} = 5 * 4

     = 20

Therefore,

_{5}P_{2} = 20

So that the correct option is D.

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3 years ago
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Please help with these 3 pretty easy problems and explain how you got it!!! 100 POINTS AND BRAINLIEST!!!! Serious answers please
natita [175]

Answer:

Step-by-step explanation:

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

9x=243, divide each side by 9

x=27

2)

(x-16)/(x+6)=3/5, cross multiply

5(x-16)=3(x+6)

5x-80=3x+18, subtract 3x from each side

2x-80=18, add 80 to each side

2x=98, divide each side by 2

x=49

3)

Since the triangles are similar we can say that

25/(4x-1)=10/(x+5), cross multiply

25(x+5)=10(4x-1)

25x+125=40x-10, subtract 40x from each side

-15x+125=-10, subtract 125 from each side

-15x=-135, divide each side by -15

x=9

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SOLVE FOR BRAINLIST!!
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The correct answer is c
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