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4 years ago

For the given function, state the amplitude and the maximum output for the function: ƒ(t) = 2sin(t).

Mathematics

2 answers:

Ipatiy [6.2K]4 years ago

6 0

Answer:

Maximum output for the function is (2).

Step-by-step explanation:

The given function is f(t) = 2sin(t).

The given function is representing a sine function, in a standard form of

f(x) = asinx

Now we know that a is the amplitude and at t = $\frac{\pi }{2}$

Since curve has the maximum output.

f ( $\frac{\pi }{2}$ ) = asin ( $\frac{\pi }{2}$ ) = a = 2

Therefore, maximum output of the function is (2).

Natasha_Volkova [10]4 years ago

3 0

Amplitude= max output=2

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Burka [1]

Answer:

$a=-1,\ a=-5$

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Step-by-step explanation:

<u>Equations</u>

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

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Rearranging

$a^2+6a+5=0$

Factoring:

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There are two solutions:

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The second case requires us to find the value of x such that

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$x^2+4x+5=0$

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3 years ago

In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. what is the probability th

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3 years ago

The volume of 10 drops of a liquid is0.01 fluid ounces. What is the volume of 100 drops?

otez555 [7]

Answer:

Step-by-step explanation:

you move the decimal to the right twice, so it goes from .01 to 1.00 if that makes sense :)

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3 years ago

In a study published on January 31, 2011 in The Proceedings of the National Academy of Sciences, researchers randomly assigned 1

Kaylis [27]

Answer:

Step-by-step explanation:

Hello!

The objective of this test is to know if aerobic exercise modifies hippocampus activity. A random sample of 120 elderly men and women was taken and divided into two groups.

Group 1: Walked around a track three times a week.

Group 2: Did a variety of less aerobic exercises, including yoga and resistance training with bands.

After a year their brains were scanned showing that group 1 had an increase of 2% in their hippocampus and group 2 showed a decrease of 1.4%

a. True, this type of observational study can be the prelude to a more formal statistical study.

b. True, the explanatory variable is "type of exercise", it's the variable that the investigator suspects influence the hippocampus volume.

c. True, the objective of this experiment is to test if there is any modification on hippocampus volume, that's why the volume of the hippocampus was measured, before and after a year of exercise.

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I hope it helps!

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4 years ago

Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5

aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u> states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

$a*(b+c)=a*b+a*c$

in this problem we have

$-3*(6+5)=-3*6+-3*5$ ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0

4 years ago