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3 years ago

Write a sine function for the following problem:

Mathematics

1 answer:

asambeis [7]3 years ago

6 0

Answer:

amplitude A = 5

vertical shift = 0

period T = 10 s

frequency = 1/T = 0.1 Hz

angular frequency ω = π/5

h(t) = 5sin(πt/5)

Step-by-step explanation:

An oscillator cannot move between ± 5 units, be at rest at t=0 and at maximum 2.5 s later without some serious external acceleration being applied. It just does not work.

I will ASSUME that the particle is at maximum velocity at t = 0 and use the remaining inputs as stated

As h(0) = 0 the Sine function fits nicely as sin0 = 0

A = 5 as the particle swings between +5 and -5

h(t) = 5sin(ωt)

ω will have units of rad/s

We know the particle will move from max to min position in half the period.

so the period T = 2(7.5 - 2.5) = 10 s

There are 2π radians in each cycle, therefore

ω = 2π rad/10 s = π/5 rad/s

h(t) = 5sin(πt/5)

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Please help I don't understand this question

melamori03 [73]

It would be c, and here is why:
x is the difference between original and final amounts of food, aka the amount eaten by the hamster. Find difference with subtraction, initial minus final=difference. 2.1-1.3=0.8
x=0.8

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3 years ago

A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college tea

MakcuM [25]

The correct statement that can be made about the means is a. There is not enough evidence to suggest that the means are different.

<h3>What is true about the means?</h3><h3 />

Given that α = 0.01, we can use an ANOVA analysis to determine the p-value of the means.

When we run the means through an ANOVA software, the p-value can be found to be 0.1142.

This figure is greater than α = 0.01.

This means that we do not have the evidence to reject the null hypothesis that the means are different.

Options for this question:

a. There is not enough evidence to suggest that the means are different.
b. The mean age of middle school teachers is different from the mean age of high school teachers.
c. The mean age of middle school teachers is different from the mean age of college teachers.
d. The mean age of high school teachers is different from the mean age of college teachers.

Find out more on the p-value at brainly.com/question/4621112

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2 years ago

If 3^4(81^2) = 3^n, what is n?

Mama L [17]

Answer:

n = 16

Step-by-step explanation:

3^4(81^2) = 3^n

3^4(3^4) = 3^n

3^16 = 3^n

n = 16

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4 years ago

If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?

Vesna [10]

Answer:

Option B is correct.

The coordinate of A' is (-2 , -1)

Explanation:

The coordinates of ABCD are A = (-1,2) , B(1,1) , C =(1,-1) and D(-2,-2).

Rotation means moving the shape around a fixed point clockwise or anticlockwise, and by a certain number of degrees.

Rule for 90° counterclockwise rotation about the origin: $(x,y) \rightarrow (-y,x)$

or we can say that switch x and y in the coordinates and make y value opposite.

Then, the coordinate of A' :

$A(-1,2) \rightarrow A'(-2 ,-1)$

Therefore, the coordinate of A' in the quadrilateral A'B'C'D' is, (-2 ,-1)

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4 years ago

Read 2 more answers

What us the length of AC?

Ipatiy [6.2K]

You can make the equation 12x=156-x
Then from there it become 13x=156
So x=12

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3 years ago