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3 years ago

Use inductive reasoning to predict the most probable next number in the list.

Mathematics

1 answer:

agasfer [191]3 years ago

5 0

64 is the correct answer. The numbers are being multiplied. 1×1=1, 2×2=4, 3×3=9, 4×4=16, etc.

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What percent of 120 is 42

poizon [28]

35%.

42/120 = 0.35.

0.35 X 100 = 35. That tells us 42 is 35% of 120.

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3 years ago

Which of these limits evaluate to 0?

Vikentia [17]

<h3>Answer: C) I and II only</h3>

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Work Shown:

Part I

$\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\$

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Part II

$\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\$

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Part III

$\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\$

7 0

2 years ago

A water balloon has a diameter of 6 inches. How many cubic inches of water does it contain when it is 3/4 full

Travka [436]

Below are the choices that can be found from other sources:

A) 36 pi
B) 6 pi 
C) 27 pi 
D) 216 pi 
E) 48 pi

A sphere's volume is (4/3)*pi*r^3.
The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. 

(4/3)*pi*3^3 = 36 * pi 

But the balloon is only 3/4 full. So 

36 * (3/4) * pi = 27 * pi. 

The balloon has 27 pi cubic inches of water.

7 0

3 years ago

Data set is normally distributed with a mean of 27 and a standard deviation of 3.5. Find the Z-score for a value of 25, to the n

Svetradugi [14.3K]

What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.

Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

50000 fish were stocked in a lake with a 20% decrease each year . whats the 1st year will it be under 5000 fish

Marina CMI [18]

Answer:

no it will no be

Step-by-step explanation:

6 0

2 years ago