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andre [41]
3 years ago
10

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

Mathematics
2 answers:
Ipatiy [6.2K]3 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]3 years ago
3 0
Amplitude= max output=2
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What is the absolute value of 2.3
Hoochie [10]
<h3>Answer:  2.3</h3>

The absolute value of any positive number is that number itself.

If you take the absolute value of a negative number, then just erase the negative sign and you have your answer.

The absolute value is never negative. It represents distance from that value to 0 on the number line.

So saying |2.3| = 2.3 means the number 2.3 is exactly 2.3 units away from 0 on the number line.

Another example would be |-7| = 7 showing that from 0 to -7 is 7 spaces.

8 0
3 years ago
A 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A prelimina
serious [3.7K]

Answer:

Sample size should be atleast 617

Step-by-step explanation:

given that a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit.

i.e. margin of error <0.3

Std devition sample = 3.8

For 95% assuming sample size large we can use z critical value

Z critical = 1.96

we have

1.96 * std error 616.3634

Sample size should be atleast 617 to get an accurate margin of error 0.3

7 0
3 years ago
Mr Tom shared $300 between his two sons aged 15 years and 10 years in
Sonbull [250]

Answer:

Son of 15 years $180

Son of 10 years $120

Step-by-step explanation:

15 + 10 = 25

   25          300

   15              x = 300*15/25

                    x = 180

   25          300

   10              x = 300*10/25

                    x = 120

Son of 15 years $180

Son of 10 years $120

3 0
3 years ago
Find an equation of each line given one point and the slope : (4, 8); slope 8
Fudgin [204]

Step-by-step explanation:

in such a case the easiest approach might be using the point-slope form of a line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so, in our case that would be

y - 8 = 8(x - 4)

simplified this would be

y - 8 = 8x - 32

y = 8x - 24

FYI - this would be then the slope-intercept form (-24 would be the intercept point on the y-axis).

3 0
1 year ago
Kari has x green apples and y red apples. Which statement explains why x + y and y + x will each find the total number of apples
ehidna [41]
X+y and y+x are the same as stated by the commutative law.
This is because let’s say x=2 and y=3,
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3 0
2 years ago
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