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3 years ago

Y =cos((2pi/3) x )+2 what is the midline equation? y=?

Mathematics

1 answer:

lara [203]3 years ago

7 0

Answer:

$y=2$

Step-by-step explanation:

In $y=a\cos(bx-c)+d$ , $d$ represents the vertical shift. The midline of the function is given by $y=d$ , because the parent function $y=\cos x$ has a midline at $y=0$ . Therefore, the midline of the function $y=\cos (\frac{2\pi}{3}x)+2$ is $\boxed{y=2}$

You might be interested in

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0

2 years ago

Adding school fairest 20% of the people are under 16 years old one third of the people remaining are teachers if there are 21 te

dedylja [7]

<span>In the fairest school 20% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100% = ( 100 / 3 = 33.33% )
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Then there are 20% of it:
=> 63 * .20 = 12.6
Thus, there are around 13 people who are 16 years old younger.</span>

4 0

3 years ago

Solve the following system of equations.express your answer as an ordered pair in the format (a,b) with no spaces between the nu

frosja888 [35]

Answer: (3,2)

Step-by-step explanation:

For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.

9x+12y=51

-16x-12y=-72

Now, we can add the 2 equations together for the y to cancel out.

-7x=-21

x=3

Since we know x, we can plug it into any of the equations to find y.

3(3)+4y=17

9+4y=17

4y=8

y=2

With out x and y value, we can put them into an ordered pair. (3,2)

4 0

2 years ago

The mean of 5,7,9 show that the mean of these numbers is 7

olasank [31]

Answer: 7

Step-by-step explanation:

5+7+9=21

3 total numbers to start with so;

21/3=7

3 0

2 years ago

Simplify ech answer into a fraction, Show all work please!

Gnom [1K]

Answer:

the first one is -9/40. the second one is 109/20. the third one is -8/35.

Step-by-step explanation:

here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.

6 0

2 years ago