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Cloud [144]
3 years ago
12

Rewrite the expression with the given base. 125^2x with a base of 5

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
Note that 125 = 5^3

So 125^2x = 5^3(2x)  = 5^6x  answer
jasenka [17]3 years ago
6 0
Okay so you have to start by working out how many times you multiply 5 by itself to get 125. 

5x5x5=125

therefore: (5^3)^2x) is the answer:)
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The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, t
9966 [12]

Answer:

x = 4.85 feet

Step-by-step explanation:

Original area of the petting farm = 10 × 14

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New area = double the original area = 140 * 2

= 280 square feet

New area of the petting farm =

Width × length

280 = (10+x) × (14+x)

280 = 140 + 10x + 14x + x²

280 - 140 = x² + 24x

140 = x² + 24x

x² + 24x - 140 = 0

Solve the quadratic equation

x = -b ± √b² - 4ac / 2a

= -24 ± √(24)² - 4*1*-140 / 2*1

= -24 ± √ 576 - (-560) / 2

= -24 ± √ 576 + 560 / 2

= -24 ± √1,136 / 2

= -24 ± 4√71 / 2

= -24/2 ± 4√71/2

= -12 ± 2√71

x = 4.8523 or x = -28.8583

x can not be a negative value

Therefore,

x = 4.85 feet to the nearest hundredth

4 0
3 years ago
Some rational numbers are not integers? true or false
MariettaO [177]
The answer is false because every integer is rational. An integer for example,5, can be expressed as 5/1 (which is a rational number)
8 0
3 years ago
Which of the following describes a positive correlation?
insens350 [35]

Answer:

First Choice: As the number of hours spent on homework increases, the tests scores increase.

Step-by-step explanation:

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The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.

The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.

The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.

The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.

6 0
3 years ago
42° N LATITUDE , 83°W longitude​
Andreas93 [3]

Lake Erie

Step-by-step explanation:

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JulijaS [17]

Answer:

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