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3 years ago

Find the period of the function. y=3 sin x/8

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

The period of given function is $Period = 16\pi$

So, Option B is correct.

Step-by-step explanation:

In this question we need to find the period of the function y= 3 sin x/8

The formula used to find period of function is: $\frac{2\pi }{b}$

We need to know the value of b.

To find the value of b we compare the standard equation with the equation of function given.

Standard Equation: y = a sin(bx - c) +d

Given Equation: y= 3 sin(x/8)

Comparing we get:

a= 3

b= 1/8

c= 0

d=0

So, we get the value of b i.e 1/8. Putting it in the formula to find period of given function.

$Period = \frac{2\pi }{b}$

$Period = \frac{2\pi }{\frac{1}{8}}$

Solving,

$Period = 2\pi *8$

$Period = 16\pi$

So, the period of given function is $Period = 16\pi$

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The sum of the interior angles of a quadrilateral ___ the sum of its exterior angles. Select one: a. > b. < c. equals

viktelen [127]

Answer:

The sum of the interior angles of a quadrilateral <u>equals</u><u> </u> the sum of its exterior angles.

Step-by-step explanation:

The sum of the exterior angles of a quadrilateral is 360 degrees.

The sum of the interior angles = (n-2)*180

Here n = 4, the number of sides.

Quadrilateral has 4 sides.

The sum of the interior angles = (4 - 2)*180

= 2*180

= 360 degrees.

Therefore, the sum of the interior angles of a quadrilateral <u>equals </u> the sum of its exterior angles.

Hope this will helpful.

Thank you.

6 0

3 years ago

A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 17

Andrei [34K]

ANSWER

$363.6 \: miles$
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

$250 \: miles \equiv11 \: gallons$

Now we want to find how far he could go on 16 gallons.

$x \: miles \equiv16 \: gallons$

All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

$x = \frac{250 \times 16}{11}$

$x = \frac{4000}{11} = 363.6 \: miles$

Therefore the correct answer is C.

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3 years ago

The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te

MAXImum [283]

Answer:

C. <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

f(x) = a(x +k)^(1/n) +c

represents the following transformations:

vertical scaling by a factor of 'a'
left shift by k units
up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

k = 3
c = -4

The graph says the value of c is less than zero.

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

f(x) = 2(x +3)^(1/3) -4

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Step-by-step explanation:

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