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

1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.

Answer:

(-1,3), (1,0)

Step-by-step explanation:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 we can solve the question using this information

Answer:

y= -2x+3

Step-by-step explanation:

First, you want to isolate the variable 2y on its own.

It would look like this: 2y= -4x+6

Then, divide every term by two.

It would look like this: y=-2x+3

Hope it helped.  

Answer:

y= -2x+3

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15

Answer:

x = 1/6 (h(2) - 9), h(2) element R

Answer:

3C2 * (.5)^2 * (.5)^1

.375

Step-by-step explanation:

...

The probability that exactly two of the dice are odd is 3/8

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]

where, p is the probability of success and q is the probability of failure

For given example,

We roll three six sided dice.

We need to find the probability that exactly two of the dice are odd

the probability of success i. e. dice is odd would be,

⇒ p = 3/6

⇒ p = 1/2

So, the probability of failure would be,

⇒ q = 1 - p

⇒ q = 1 - 1/2

⇒ q = 1/2

Also, n = 3 and r = 2

Using Binomial distribution the required probability would be,

[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]

Therefore, the probability that exactly two of the dice are odd is 3/8

Learn more about the probability here:

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Answer: oh no are you stuck

Step-by-step explanation: don't worry step sis ill help you :)

Answer:

2 hats

Step-by-step explanation:

4+4+3+3+3=17

Each hat costs $4 and each scarf costs $3.

He bought 5 items. Two of those items were hats.

The rest were scarfs.

The number of hats bought by John are 3

Two or more expressions with an Equal sign is called as Equation.

Let the hat is represented by x

scarves is denoted by y

Hats cost $4 each while scarves cost $3 each

John buys 5 items and spends a total of $17.

We need to find the number of hats.

3x+4y=17..(1)

x+y=5..(2)

x=5-y

Subtract x value in equation 1

3(5-y)+4y=17

Apply distributive property

15-3y+4y=17

15+y=17

Subtract 15 on both sides

y=2

x+2=5

x=3

Hence, the number of hats bought by John are 3

To learn more on Equation:

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Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just took test n got it right

Answer:

C. 5.25 + 1/5 b = 11.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer: Try using Symbolab (i have no idea what the answer is sry)

Answer:

C

Step-by-step explanation:

Answer:

10^-1 = 7 - 2x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

100-60=40

Step-by-step explanation:

Answer:

In 6 weeks she will have $40.

Step-by-step explanation:

$100 - $10 - $10 -$10 - $10 - $10 - $10.

Or $100 - $60.

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

Answer: A. B. A.

Step-by-step explanation:

Answer:

distance(miles) = number of hours driven * 55

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

Answer:

False. Because it is the answer.

Answer:

false

Step-by-step explanation:

I agree with the first guy

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

Answer:

$63

Step-by-step explanation:

Answer:

they made 67.5$

Step-by-step explanation:

82.5÷5.5 is 15 15×4.50 would be 67.5

Answer:

nothing

Step-by-step explanation:

nothing will come because there is no figure

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0+4}{-1-1}[/tex]

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

Answer: 30

Step-by-step explanation:

24 + f = 54

f = 54 - 24

f = 30

Answer:

f=30

Step-by-step explanation:

You want to get x by itself on one side, so in order to do that, you need to subtract the 24, and if you do it one side, you need to do it to the other side.

That would give you:

24-24+f=54-24

then simplify it to be:

f=30