The Sine Function

The average number of customers per day at a home improvement store is given in the following table. The sine regression equation was found to be y = 29.882sin (0.887 x 1.271) + 85.635, where x represents the day where 1 = Sun of the week, 7 = Sat of the first week, 8 = Sun of the second week, and 14 = Sat of the second week. Use this model to predict the average number of customers on Tuesday. Round to the nearest customer.

a. 70
b. 67
c. 71
d. 64

Please select the best answer from choices provided

Answer:2sin(8/3x)+3

Step-by-step explanation:

The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

"It is the horizontal center line about which the function oscillates above and below. "

"It is the distance between the highest point and midline."

"It is the length of one complete cycle of the curve."

"It is the distance between midline and x-axis."

"The generalized equation for a sine graph is as follows:

[tex]y = A~sin(B(x + C)) + D[/tex]

where, amplitude = A

period = 2π/B

phase shift = C

vertical shift = D"

For given function,

A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

A = 2

T = [tex]\frac{3\pi}{4}[/tex]

In this case, the midline is 3

⇒ D = 3

Using the generalized equation of sine function,

[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]

Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

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Answer:

33 22 is the answer

Step-by-step explanation:

Answer:

Answer is

Step-by-step explanation:

plus karna h 17.5+ 10+ cm+ 2kg

Answer:

9 inches

Step-by-step explanation:

9 times 6=54

Answer:

it 567+743

hope it works

−300 + 174.83 = -125.17. A is the answer!

Answer:

False

Step-by-step explanation:

I'm pretty sure you're asking if the question is true or false and in this case, it is not true.

20^2+6(9+3)=274

evaluate power

400+6(9+3)=274

multiply numbers

400+72=274

add numbers

472=274

they are not the same number which means that statement wasn't true

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Answer:

When it is of the form axm a x m, where a a is a constant and m m is a whole number, it is called a monomial. Some examples of monomial are 8,−2x2,4y3, and11z7 8, − 2 x 2, 4 y 3, and 11 z 7. A monomial is a term of the form axm a x m, where a a is a constant and m m is a positive whole number.

Step-by-step explanation:

Answer: 6.50 + 5.75n

Step-by-step explanation:

Answer:

6.50 + 5.75n

Step-by-step explanation:

because since it said let n equal the number of hours AFTER the FIRST hour.

(just have to read the question carefully)

Answer:

334

Step-by-step explanation:

Answer:

A=3, 2

B= 2,4

C= 2, 1

If i'm not wrong

Point A(-3,2)) reflected over the y-axis becomes: A'(3,2).

Point B(-2,4) reflected over the y-axis becomes: B'(2,4).

Point C(-2,1) reflected over the y-axis becomes: C'(2,1).

Answer:

C

Step-by-step explanation:

Area of the triangle is cm^2 which makes A and D not true.

Formula

Area = 1/2 * b  * h

b = 7

h = 5

Area = 1/2 * 7 * 5

Area = 1/2 35

Area = 17.5 cm^2

Answer:

EG=LN     NM=GF     LM=EF    

Step-by-step explanation:

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

Answer: Your answer is 15!

Step-by-step explanation: First, you have to do 4 + 1, equaling 5. Next, 5 x 3, which is 15.

Answer:b

Step-by-step explanation:

It b

The statement describes Matt's data relative to the general pattern of the data.option B is correct.

We have given that,

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each

A person eats per day.

 Fruit Servings                       Vegetable Servings

      4                                              0

        -                                              4

Matt is one of the people surveyed. He is considered an outlier in this data.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

From the given scatter plot we can say that option B is correct.

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Answer:

1gm=100mg

3.06gm=306mg

Step-by-step explanation:

please give me brainlest and follow me on

Answer:

1.cuboid

2. 6

3. rectangle

4.

5.

Answer:

I think the bottom right one...

Step-by-step explanation:

dont forget to heart and 5-star! =D

Answer:

[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]

opion. b

Answer:

b

Step-by-step explanation:

Answer:

49ft

Step-by-step explanation:

Find x by using

cos38=x/62

Answer:

ranus is a large planet with a volume of 6.833 x 1013 cubic kilometers. You could fit a little more than 63 Earths inside of Uranus, but like the other gas giants, it is not very dense. Comprised mostly of gas, the planet is only about 14.5 times more massive than Earth is.

Step-by-step explanation:

^

Answer:

2.9375

2 15/16 as a decimal = 2.9375

2 15/16 in decimal form = 2.9375

Two and fifteen sixteenths as a decimal = 2.9375

2 and 15 over 16 as a decimal = 2.9375

Answer:

2.938

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

y = x+5

Step-by-step explanation:

Answer:

[tex]y = x + 5[/tex]

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

[tex]y = (1 \times x) + 5[/tex]

[tex]=> y = x + 5[/tex]

Answer:

q=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

Answer:

18

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

i got it right on my work