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nevsk [136]
4 years ago
6

The function f(x)=16sinx contains which type of transformation or change to its parent graph? phase shift, vertical shift, horiz

ontal stretch or change in period, vertical stretch or change in amplitude
Mathematics
2 answers:
earnstyle [38]4 years ago
7 0
The parent graph would be f(x) = sin(x).

The 16 coefficient represents a vertical stretch because the y-values of the graph expand out further. That is, on the parent graph, f(pi/2) = 1 while on the the function 16sin(x), f(pi/2) = 16. As you can see the graph is stretched out vertically.


Burka [1]4 years ago
3 0

Answer :

Option D is true.

Step-by-step explanation:

We are given that a function f(x)=16 sin x

We have to find out which type of transformation  or change to its parent graph.

We have parent function f(x)=sin x

Given function, f(x)= 16 sin x

If we are substituting x=\frac{\pi}{2}

Then value of parent function f(\frac{\pi}{2})= sin\frac{\pi}{2}=1

because sin \frac{\pi}{2}=1

The value of given functionf(x)= 16 sin\frac{\pi}{2}=16

Hence, the value of given function is 16 times the value of parent function.

Therefore, the given function contains vertical stretch or change in amplitude .

Option D is true.

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What is container B that is full after the pumping is complete ?
scoray [572]

<em>Answer</em>

68.4%

<em>Step-by-step explanation</em>

The volume of a cylinder is calculated as follows:

V=\pi r^2h

where <em>r </em>is the radius and <em>h </em>is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}

In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}

After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, <em>x</em>, represents the volume of cylinder A. We can do this with the help of the next proportion:

\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}

Solving for x:

\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}

6 0
2 years ago
Please show your work.
mr_godi [17]

Answer:

Option c

Step-by-step explanation:

Given : Marcus suggests that figure A was reflected over the y-axis and then translated 2 to the right and 1 up. Julianne agrees and states that the transformations could happen in any order.

Solution :

If we shift according to the Marcus then we get the correct figure refer the attached figure (Marcus case)

Julianne agrees and states that the transformations could happen in any order.

Option c : Inaccurate. A translation of 2 to the right and 1 up and then a reflection over the y-axis results in a figure that is located in the second quadrant.

This best describes the accuracy of Julianne’s statement

Refer the attached file which shows the figure according to option c

in option c the order is not followed so the resultant figure is incorrect .



5 0
4 years ago
Read 2 more answers
When you divide 7.7 by 700, how many decimal places will the quotient have?
Nikolay [14]
The answer would be 0.011 so there would be three decimal places
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3 years ago
A cylindrical tank holds 20,000 gallons of water, which can be drained from
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Answer:

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Step-by-step explanation:

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Please help me understand this question thanks
aivan3 [116]

hdhehdhdydhegsydhevegegegdydhd the answer is B

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