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Olin [163]
3 years ago
15

What is the quotient of StartFraction 2 Superscript 4 Baseline Over 2 Superscript negative 4 Baseline EndFraction?

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

256

Step-by-step explanation:

Given. :

2⁴ / 2^-4

2⁴ = 2 * 2 * 2 * 2 = 16

2^-4 = 1/2⁴ = 1 / (2 * 2 * 2 * 2) = 1 / 16

16 ÷ (1 /16)

16 * 16 /1

= 256

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7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
natali 33 [55]

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

8 0
3 years ago
Identify the independent and dependent variables in the following situation Julie notices that her plant grows one inch for ever
LUCKY_DIMON [66]

Answer:

Independent variable: amount of water

Dependent variable: growth of the plant

Step-by-step explanation:

In the statement "Julie notices that her plant grows one inch for every liter of water that it receives" it is implied that the growth of the plant is related proportionally to the amount of water it receives.

We know the amount of growth in function of the amount of water

The dependant variable, the result, is the growth of the plant.

Then, the independent variable is the amount of water, as it is the input to calculate the amount of growth.

4 0
4 years ago
Kai went on a bike ride. Every time he stops to drink water, his bike ride takes 3/4 of a minute longer. If he stops to drink wa
mestny [16]

Answer:

4.5 minutes

Step-by-step explanation:

first convert 3/4 to a decimal so you can multiply it which would be .75

so then .75 times 6=

4.5

5 0
3 years ago
Read 2 more answers
What is the answer X=-2(6+4)
Digiron [165]

Answer:

X = -20

Step-by-step explanation:

X = -2(6+4)

            ^ add 6 and 4 together first because they are in parentheses

-2(10)

   ^ this parenthesis means you want to multiply -2 and 10

because 2 x 10 = 20

that must mean -2 x 10 = -20

therefore, the value of X is -20

X= -20

3 0
3 years ago
14 maids share five granola bars equally. Draw to show how much each person gets. Share the amounts that one person gets. Write
Alecsey [184]


first you divide14 and 5 and you get 2.8 then you turn 2.8 into 2 8/10

2 8/10 is your answer  

4 0
3 years ago
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