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alekssr [168]
3 years ago
10

Evaluate each expression

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Step-by-step explanation:

  • a = 2
  • b = 3
  • c = 5

\longrightarrow \rm{{\Bigg ( \dfrac{a}{b} \Bigg )}^c} \\  \\  \longrightarrow \rm{{\Bigg ( \dfrac{2}{3} \Bigg )}^5}  \\  \\   \qquad \qquad \bigstar \: \boxed{ \bf{  \Bigg ({\frac{x}{y} \Bigg )}^{m}  =  \frac{ {x}^{m} }{ {y}^{m}}   }} \\  \\  \longrightarrow \rm{ \frac{ {(2)}^{5} }{ {(3)}^{5} } } \\  \\ \longrightarrow  \bf{ \frac{ 32 }{ 243} }

Therefore, 32/243 is the answer.

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Answer:

D

Step-by-step explanation:

A = P(1 + \frac{r}{n})^{nt}\\

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3 years ago
Which of the following shows the number 7.12 x 10^-3 written in standard form? Answer choices : 0.00712 : 0.0712 : 0.712 : 7,120
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<span>written in standard form
</span><span>
7.12 x 10^-3  = 0.00712

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The table shows the results of a survey of 100 people selected at random at an airport. Find the experimental probability that a
grandymaker [24]

Answer:

3/50

Step-by-step explanation:

6 0
2 years ago
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An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting b
Lera25 [3.4K]
The goal here is to find the cost of the painting BEFORE the 60% increase.

To find the cost of the painting, we must take in the information we already have:

Increase percent: 60%
Original price: unknown
Price after increase: $400

$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).

The total must be (100% + 60% = 160%) 160% of the original painting price.

To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?

Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..

1% $400/160%

We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.

So now, we multiply the 2.5 by 100 to get our answer: $250.

I hope this helps! If you have any questions, feel free to ask.
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3 years ago
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5y - 2x + 1 = 0.
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y = 2/5 x - 2/5

this tells us that tan(theta) = 2/5
sin(theta)/sqrt(1-sin^2(theta)) = 2/5
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x^2/(1-x^2)=4/25
25x^2=4-4x^2
29x^2=4
x^2=4/29
x = -2/sqrt(29) because quadrant III
cos(x) = sqrt(1-4/29) = -5/sqrt(29)


tan(theta)=2/5
cos(theta)=-5/sqrt(29)
sin(theta)=-2/sqrt(29)
cot(theta)=5/2
sec(theta)=-sqrt(29)/5
csc(theta)=-sqrt(29)/2
7 0
3 years ago
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