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2 years ago

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

Mathematics

1 answer:

Elza [17]2 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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Which of the following is the most precise measurement? 13 in. 13.615 in. 13.6 in. 13.62 in.

Anna35 [415]

Answer:

13.615

Step-by-step explanation:

6 0

3 years ago

Find the interest earned and the future value of an annuity with quarterly payments of $600 for 8 years into an account that pay

iVinArrow [24]

Answer:

interest earned= 292.878

the future value of an annuity= 892.878

Step-by-step explanation:

Given Data:

Interest rate= 5%

time,t = 8 years

Quarterly payment, P= 600

n= 4 as quarterly

At the end of 8 years, final investment A= ?

As per the interest formula

A= P(1+r/n)^nt

= 600(1+0.05/4)^32

= 892.878

Interest earned = A-P

= 892.878-600

= 292.878 !

3 0

3 years ago

A line includes the points (10,-5) and (-10,-1). What is the equation in slope intercept form?

Elodia [21]

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{-10-10}\implies \cfrac{-1+5}{-20}\implies \cfrac{4}{-20}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-\cfrac{1}{5}(x-10) \\\\\\ y+5=-\cfrac{1}{5}x+2\implies y=-\cfrac{1}{5}x-3$

8 0

2 years ago

The morning temp. In Atlanta, Georgia is 21 1/4 degrees. During the day it warms up 6 2/7 degrees. What is the new temp

pogonyaev

Answer:

27 15/28 degrees

Step-by-step explanation:

Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.

1*4=4 1*7=7

2*4=8 2*7=14

3*4=12 3*7=21

4*4=16 <u>4*7=28</u>

5*4=20

6*4=24

Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.

8/28 + 7/28=15/28

For our last step, we need to add the whole numbers together so the answer is complete.

21+6=27

27+15/28= 27 15/28 degrees

6 0

2 years ago

Nevermind anyone know this answer???

Semenov [28]

Answer:

x = 6

Step-by-step explanation:

for SPECIAL RIGHT TRIANGLES specifically a 30°-60°-90° triangle.

The longest side is the hypotenuse. The longest side is twice the shortest side. Or the other way around, the shortest side is half the longest side.

Here the longest side (hypotenuse) is 12, so the shortest side is 6.

Also, since you seem to be trying to get this subject.

The long leg is the short leg× sqroot3.

OR the short leg is the long leg ÷ sqroot3. If you end up with a sqroot on the bottom of a fraction, you can't leave it like that. Times top and bottom by sqroot3/sqroot3 to fix it.

4 0

2 years ago