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Kaylis [27]
3 years ago
5

Simplify and express the result in power notation as a positive exponent (-2)^5/(-2)^4

Mathematics
1 answer:
Trava [24]3 years ago
6 0

Answer:

(-2)^5 / (-2)^4 = -2

Break it down. (-2)^5= -32. (-2)^4= 16. Divide the -32 by 16 and you get -2

Step-by-step explanation:

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Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

Area  \: of \:  trapezoid  \\ =  \frac{1}{2} (AD + BC)  \times 5 \\  = \frac{1}{2} (x + 3x - 2)  \times 5  \\ = \frac{1}{2} (4x - 2)  \times 5  \\ = \frac{1}{2} \times 2 (2x - 1)  \times 5  \\  = (2x - 1) \times 5 \\  = (10x - 5) \:  {units}^{2}

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3 years ago
Damaris will be working at the local pool over his nine-week summer break. His net pay will be $123.56 each
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I wish I could help but I’m stúpid ;-;. Good luck finding the answer 00p

8 0
3 years ago
What is the square root of 36/196<br> √36/169
Andrei [34K]

Answer:

<em>The square root of 36/196 is </em><em>3</em><em>/</em><em>7</em><em>.</em>

<em>The </em><em>square</em><em> root</em><em> of</em><em> </em><em>3</em><em>6</em><em>/</em><em>1</em><em>6</em><em>9</em><em> </em><em> </em><em>is </em><em> </em><em>6</em><em>/</em><em>1</em><em>3</em><em>.</em>

5 0
1 year ago
Read 2 more answers
There are 5000 undergraduates registered at a certain college. Of them, 448 are taking one course, are taking two courses, 675 a
olga55 [171]

Answer:

Step-by-step explanation:

Hello!

There are some values missing, so I'll find the probability distribution using others as example. Afterwards you can calculate the ones corresponding to this exercise following the same steps.

Considering there are 5000 undergraduates registered in the college.

465 are taking one course

658 are taking two courses

566 are taking three courses

1877 are taking four courses

1344 are taking five courses

90 are taking six courses

First you have to define the variable of interest. To identify it you have to ask yourself the following question: what is the characteristic of this population that is being measured?

The answer is "the number of courses an undergraduate is taking" and this will be the study variable X

X can take values from 1 to 6 courses.

To calculate the probability of each value of X, you have to divide the "number of students taking Xi courses" by "total number of students registered in the college"

For

X=1

P(1)= 465/5000= 0.093

X=2

P(2)= 658/5000= 0.1316

X=3

P(3)= 566/5000= 0.1132

X=4

P(4)= 1877/5000= 0.3754

X=5

P(5)= 1344/5000= 0.2688

X=6

P(6)= 90/5000= 0.018

For this to be a probability distribution the following condition should be met:

F(X)= ∑P(X) = 1

In this example: 0.093 + 0.1316 + 0.1132 + 0.3754 + 0.2688 + 0.018 = 1

I hope this helps!

7 0
3 years ago
Evaluate the following expression. Round to the nearest hundredth when necessary.<br><br> 6³ - 18
SSSSS [86.1K]

Answer:

198

Step-by-step explanation:

Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198

8 0
3 years ago
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