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bearhunter [10]
3 years ago
11

Simplify (x^1/2)^1/6 a. x^1/3 b. x^1/4 c. x^1/12 d. x^2/3

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
(x^{ \frac{1}{2} })^{ \frac{1}{6} }=x^{ \frac{1}{2} * \frac{1}{6} }=x^{ \frac{1}{12} }

Answer is C.
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OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
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2 years ago
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Answer:

First three terms of given sequence are

9, 13, 17

Step-by-step explanation:

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The following graph represents the cost and revenue functions for custom-made computers. How many computers
Paladinen [302]
A it’s the answer correct
6 0
3 years ago
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Max is 6 years older than his brother. If Max is M years old, then his brother is ____ years old.
Doss [256]
Max' brother is M-6 years old.
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A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies, you pick one candy at random, find the probability that it is
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Answer:

P (green/yellow) = 65/139

Step-by-step explanation:

42 + 45 + 20 + 32 = 139 possibilities

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Hope this helps!


3 0
3 years ago
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