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Shalnov [3]
3 years ago
5

Please help!!! Find the domain of the function y = 2 cot(5∕8x).

Mathematics
1 answer:
Elza [17]3 years ago
4 0

Answer:

Function 

Step-by-step explanation:

) Domain is defined as the set of possible values of x where function is defined.

For domain, 

So, 

The value of x is define as 

The domain of the function is all real numbers except 

The range is defined as all the y values for every x.

So, The range of the function is all real numbers.

2) The general form of the cot function is 

Where, Period is 

On comparing, B=3

So, The period of the given function is 

3) Vertical asymptote is defined as the line which approaches to infinity but never touches the line.

The vertical asymptote is at  where function is not defined.

The two vertical asymptote is

Put n=0,

Put n=1,

So, The two vertical asymptote are 

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kotykmax [81]
I believe its C. because you have to solve for x.
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3 years ago
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nina saved 10% on her CD purchase. If the CD originally cost $24.90, how much would she save?, what would the new price be?
Yuliya22 [10]
To see how much she saved, you multiply 24.90 x 10 ÷ 100 (or to simplify it 24.90 ÷ 10) you should get 2.49, which you subtract from the original and get $22.41
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3 years ago
The mean incubation time of fertilized eggs is 23 days. Suppose the incubation times are approximately normally distributed with
Anna007 [38]

Answer: the incubation time that separates the bottom 2.5​% from the rest of the incubation times is 24.96 days.

Step-by-step explanation:

Suppose the incubation times are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = incubation times.

µ = mean time

σ = standard deviation

From the information given,

µ = 23 days

σ = 1 day

The probability value for the incubation time that separates the bottom 2.5​% from the rest of the incubation times would be (1 - 2.5/100) = (1 - 0.025) = 0.975

Looking at the normal distribution table, the z score corresponding to the probability value is 1.96

Therefore,

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x = 1.96 + 23

x = 24.96

3 0
3 years ago
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If the diameter of a circle is 3 feet what is the circumference
stepan [7]

Answer:

9.42

Step-by-step explanation:

C=2πR

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C=2π(1.5)

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4 0
2 years ago
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Dafna1 [17]
First, find the perimeter of the circle
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p = 2 × 3,14 × 19
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The perimeter of the circle is 119.32 cm

Second, find the central angle
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angle/(full rotation angle) = arc/perimeter
angle = arc/perimeter × (full rotation angle)

Input the numbers
angle = arc/perimeter × (full rotation angle)
angle = 6/119.32 × 360°
angle = 6(360°)/119.32
angle = 2,160/119.32
angle = 18.1

The central angle would be 18.1°
4 0
3 years ago
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