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irga5000 [103]
4 years ago
5

Which expressions are equivalent to 4^−2 ⋅7 ^-2?

Mathematics
1 answer:
Andrews [41]4 years ago
8 0

Answer:

We can have several equivalents.

It can be 1/784,  28^(-2),  or  1/ (28^2)

Step-by-step explanation:

4^(-2) * 7^(-2) =  (4*7)^(-2) = 28^(-2)

or  1 / (28^2)   is another equivalent.

4^(-2) * 7^(-2) = 28^(-2)

4^(-2) * 7^(-2) = = 1/784

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Can someone help please ? Thanks I’m advance
Pani-rosa [81]

Answer:

f(-3) = 16

Step-by-step explanation:

Given:

f(x) = 2x² + x + 1

Required:

f(-3)

Solution:

Substitute x = -3 into f(x) = 2x² + x + 1

f(-3) = 2(-3)² + (-3) + 1

f(-3) = 2*9 - 3 + 1

f(-3) = 18 - 3 + 1

f(-3) = 16

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3 years ago
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4 0
3 years ago
Simplify the expression: the square root of -13 times the square root of -26 calculator
Rasek [7]
Sqrt -13  = sqrt13 i
sqrt  -26  =  sqrt2 * sqrt13i 

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6 0
3 years ago
The school uses between 300 and 400 sheets of paper per school day. If paper costs the school $2.00 per 100 sheets, approximatel
Nady [450]

Answer:

  • Option A. $140.00

Explanation:

<u>1. Using the minimun number of sheets  of paper in the interval [300, 400]</u>

a) Cost: $ 2.00 / 100 sheets

b) 300 sheets / day × $ 2.00 / 100 sheets = $ 6.00 / day

c) Approimately 20 school days per month:

  • $ 6.00 / day × 20 day = $ 120.00

<u>2. Using the maximum number of sheets of paper in the interval [300, 400]</u>

a) Cost: $ 2.00 / 100 sheets

b) 400 sheets / day × $ 2.00 / 100 sheets = $ 8.00 / day

c) Approimately 20 school days per month:

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<u>3. Middle value:</u>

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Thus, the answer is the option A.

7 0
3 years ago
What is the x-value in the solution to this system of linear equations?
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Answer:

  4

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The y-variable can be eliminated by adding 3 times the first equation to the second:

  3(2x -y) +(x +3y) = 3(11) +(-5)

  7x = 28 . . . .  simplify

  x = 4 . . . . . . . divide by 7

_____

Using Cramer's Rule, you can also find the x-value. The math is not so different.

  x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4

8 0
3 years ago
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