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3 years ago

The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

Mathematics

1 answer:

solniwko [45]3 years ago

5 0

Answer:

A.) phase shift is h=6

B.) Vertical shift is 21 units down

C.) The amplitude is 5 from the midline at y= -21

D.) The period is 16 and the frequency factor is pi/8

E.) 5 cos(pi/8(x-6))-21

Step-by-step explanation:

Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.

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What inequality describes the weight range of a single nickel

Evgen [1.6K]

Answer:

4.806 g ≤ n ≤ 5.194 where n is the mass of a nickle.

Step-by-step explanation:

The problem tells us the weight can vary by .194 g, this means it can be up to .194 lighter and 194 heavier. Well what value is .194 lighter and .194 heavier? 4.806 and 5.194 respectively. So that means a nickle can be anywhere in that range, which tells us the inequality.

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3 years ago

40 points answer ASAP

suter [353]

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

$\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8$

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

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2 years ago

What is the factored form of this expression?<br> 18x^2- 50

jenyasd209 [6]

Answer:

2 ( 3²x² - 5² )

Step-by-step explanation:

it is the answer

7 0

3 years ago

What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5

MaRussiya [10]

4^4 * 4^3
------------
4^5

= 4^7 / 4^5

= 4^(7-5)

= 4^2 = 16 Answer

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3 years ago

Please help me i'm being timed

Evgen [1.6K]

To Find :-

The algebraic equations to solve the above problem .

Solution :-

Let ,

Large number = L
Small number = S

— According to first statement ,

L - S = 4
L - S - 4 = 0

— According to second statement ,

3L + 4S = 54
3L + 4S - 54 = 0 .

These equations matches with the second option b .

Option b is the correct answer.

7 0

3 years ago