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mestny [16]
2 years ago
9

Match the expression to its simplified form.

Mathematics
1 answer:
omeli [17]2 years ago
4 0

Answer:

Step-by-step explanation:

5³ = 5 × 5 × 5 = 125

2^{5} = 2 × 2 × 2 × 2 × 2 = 32

5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}

2^{-4} = \frac{1}{2^4} = \frac{1}{16}

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It looks a little less than 1/2 or 4/8, so probably 3/8 of the gas is left.
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3 years ago
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

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3 years ago
If trianglePTS ~ trianglePQR, find the value of x.
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Answer:

bei2uer22vv

Step-by-step explanation:

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What is the coefficient of 8x
IrinaK [193]

' 8 ' is the numerical coefficient.

' x ' is the literal coefficient.
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Read 2 more answers
On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
matrenka [14]

Answer:

1. santina drove 14 more miles than carole

2. the owner will need to buy 8 bags this week

Step-by-step explanation:

1. 203-189= 14

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