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3 years ago

Explain how the Quotient of Powers was used to simplify this expression.

2 answers:

5 0

The correct answer on how the Quotient of Powers was used to simplify the expression is D. By finding the quotient of the bases to be one-fifth and simplifying the expression. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.

Ymorist [56]3 years ago

5 0

5^4
------ = 52
25

5^4
------ = 52 oh i think really this 52 mean to be 5^2
5^2

5^(4-2) = 5^2

5^2 = 5^2

hope helped

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How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

8 0

3 years ago

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively fr

Gelneren [198K]

Answer:

4/663

Step-by-step explanation:

There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

(-2,5) and (5,-4) What will be the slope of the line passing through these points?

vazorg [7]

The slope is -9/7. I don’t have an explanation because I used an online calculator but that’s the answer in case you don’t have to show work.

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2 years ago

Which set of ordered pairs that satisfy the equation

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Answer:

Step-by-step explanation:

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3 years ago