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ohaa [14]
3 years ago
5

Simplify. your answer should only contain positive exponents.

Mathematics
1 answer:
Stels [109]3 years ago
3 0
4 y^{2}  x^{3}. 2x y^{-3}

4*2* x^{3+1}* y^{2-3}

8 x^{4}  y^{-1}

\frac{8 x^{4} }{ y^{} }
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Find the value of x.<br><br> log 2 x = 3<br><br> A. 5<br><br> B. 6<br><br> C. 8<br><br> D. 9
Nataly_w [17]

Answer: Option C

x =8

Step-by-step explanation:

To solve this problem use the properties of the logarithms.

We know that the inverse function of y = log_2 (x) is y = 2 ^ x.

So when composing the function with its inverse function we have to:

2 ^ {log_2 (x)} = x.

Now apply this property on both sides of the equation

log_2(x) = 3\\\\2^{log_2(x)}=2^3\\\\x = 2^3\\\\x = 8

the answer is the option C

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3 years ago
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A cooler contains 5 bottles of lemonade, 4 bottles of water, and 3 bottles of juice. Each type is equally likely to be chosen. B
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You need to find a number that all three of those numbers go into. They all go into 60. Then, divide 60 by three because there are three items. 60 divided by 3 is 20, which is the answer.
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Answer:

Step-by-step explanation:

54°

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Usually when the line is going down the slope will be represented as a negative number. Remember rise/run. The slope of this line would be -2/2. If it needs to be simplified it would be -1. If answer choices are all positive best bet would be 1! Hope this helps!
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3 years ago
Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith
adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

a.

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

b.

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

c.

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

YNY, 2

YYN, 2

YYY, 3

Where 0 to 3 represents number of offers at every instance

5 0
3 years ago
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