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valentinak56 [21]
3 years ago
15

Solve the equation. 3|3k| = 27

Mathematics
1 answer:
Ratling [72]3 years ago
3 0
The answer is B. -3, 3
This is why:
3|3*3| = 27
3|9| = 27
3*9 = 27
The same will happen with -3 since this | means the distance from the number to zero and in this case it is 3 units til you reach zero. So the answer is B. 3, -3

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Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (8.1*10^-4)^2
AfilCa [17]
<h3>Answer:</h3>
  • the result in scientific notation is 6.561×10⁻⁷
  • the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>

The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.

... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2

... = 65.61 × 10^-8

... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point

The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...

... 6.561 × 10^-7 = 0.0000006561

4 0
3 years ago
D) (K<br> If f(x) = x3 and g(x) = 2x + 7, what is g(x)<br> when x = 2?
nadya68 [22]

Answer:

11

Step-by-step explanation:

g(x) = 2x + 7

Put x as 2 and evaluate.

g(2) = 2(2) + 7

Multiply.

g(2) = 4 + 7

Add the terms.

g(2) = 11

3 0
3 years ago
What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,
emmainna [20.7K]

9514 1404 393

Answer:

  C.  (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

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Then the translation up by 3 will give you the image coordinates ...

  (x, y) ⇒ (x, y+3)

  (9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

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3 years ago
By what least number should 2048 be multiplied to get a perfect cube
antiseptic1488 [7]

Answer:

2

Step-by-step explanation:

You should multiply by 2, to make it perfect square & it's square root is 64

6 0
3 years ago
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aev [14]
27/70 is the fraction
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