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3 years ago

What is the equation of the sinusoid shown in the graph?

Mathematics

2 answers:

vladimir1956 [14]3 years ago

6 0

Answer:

b apeeeex

Step-by-step explanation:

ololo11 [35]3 years ago

3 0

Answer:

<em>Answer: C</em>

Step-by-step explanation:

<u>The Cosine Function</u>

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

$y=\cos x$

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

$y=A\cos(\omega x)$

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

$\frac{\pi}{2}\omega =2\pi$

Thus:

$\omega = 4$

Therefore, the equation of the sinusoid is:

$y=3\cos (4x)$

Answer: C

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Nimfa-mama [501]

The answer: 0.8 pounds each day

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3 years ago

A researcher is interested in determining the mean energy consumption of a new

Nana76 [90]

Answer:

The most appropriate value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

We have to find that when constructing a 97% confidence interval, which would be the most appropriate value of the critical value.

Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be $\frac{1 - 0.97}{2} = 0.015$ .

Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;

$\frac{0.015 - 0.025}{0.025-0.01}= \frac{\text{Critcal value}-2.021}{2.021-2.423}$

So, the critical value at a 1.5% significance level is 2.289.

7 0

3 years ago

Find the slope of the line passing through the given points.

deff fn [24]

Answer:

<h3>The answer is - 3</h3>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{8 - 5}{ - 8 - - 7} = \frac{3}{ - 8 +7 } = - \frac{3}{1} = - 3 \\$

We have the final answer as

Hope this helps you

5 0

2 years ago

Select the graph of y=cot x.

Kisachek [45]

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

#SPJ1

7 0

2 years ago

B. Write a part-to-part ratio using colon notation.

UNO [17]

Answer:

3:5, 4:9, 6:8 those are examples

Step-by-step explanation:

4 0

3 years ago