Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 46000 in March and a minimum of about $ 28000 in September. Suppose the months are numbered 1 through 12, and write a function of the form ()=sin([−])+ f ( x ) = A sin ⁡ ( B [ x − C ] ) + D that models the boutique's revenue during the year, where x corresponds to the month. If needed, you can enter π =3.1416... as 'pi' in your answer. ()= f ( x ) =

Answer:

Step-by-step explanation:

We need only two points.

Choose any two values of x. Put them to the equation and calculate the value of y:

[tex]y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)[/tex]

Answer:

y = -6x - 5

Step-by-step explanation:

To find the equation using the point-slope equation, we need the slope and the y-intercept of the line

Finding the slope of the line:

We will calculate the slope between these 2 points:  (-1 , 1) and  (0 , -5)

Slope = Rise / Run

Rise of the line = y1 - y2

Rise = 1 - (-5)

Rise = 1 + 5

Rise = 6

Run of the line = x1 - x2

Run = -1 - 0

Run = -1

Slope of the line:

Slope  = Rise / Run

Slope = 6 / -1

Slope = -6

Finding the y-intercept:

y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis

From the graph, we can see that the line intersects the y-axis at (0 , -5)

y-coordinate of the point = -5

y-intercept = -5

Equation of the line:

This is the general formula of the slope-intercept:

y = mx + b (where m is the slope of the line and b is the y-intercept )

Replacing the variables

y = (-6)x + (-5)

y = -6x - 5

Answer:

# 10 is 4/3 or 1 and 1/3

#11 is 4/10 or 2/5

#12 is 2 and 3/4

#13 is 36/12 or 3 and 1/12

Step-by-step explanation:

i am not 100% sure on #13 btw

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

Hey your answers on there are correct.

Step-by-step explanation:

Answer:

45 with a remainder of 27.

Step-by-step explanation:

Hope this helps you! Good luck! <3

Answer:

growth and .09% increase I believe

Step-by-step explanation:

Answer:

The closet is 108 inches wide.

Step-by-step explanation:

Because 1 yard is 36 inches, and 36 times 3 is 108.

Answer:

is this the question ?

Step-by-step explanation:

Answer:

6 hundreds

1 tens

0 ones

4 tenths

7 hundredths

Answer:

5.89 g/cm³

Step-by-step explanation:

givens,

Mass = 22.4 g

volume = 3.8 cm³

Density = mass / volume

= 22.4 / 3.8

= 5.89 g/cm³

The density with a volume of 3.8 cm³ and a mass of 22.4 g is 5.89 g / cm³.

Given,

The volume of a mineral = 3.8 cm3

And the mass of the mineral = 22.4 g

We need to find the density.

It is the ratio of mass and volume.

Density = mass / volume

Find the density.

Volume = 3.8 cm³

Mass = 22.4 g

Density

= Mass / Volume

= 22.4 / 3.8

= 5.89 g / cm³

Thus the density with a volume of 3.8 cm³ and a mass of 22.4 g is

5.89 g / cm³.

Learn more about how to find density in the cgs system here:

https://brainly.com/question/9989733

#SPJ6

Answer:

y-2x -8

Step-by-step explanation:

your jus gonna right it back because it's parallel which means it's the same thing.

Step-by-step explanation:

When metamorphic rock melts it turns into magma.

Answer:

1. Dracula Answer: D) 12.5%

2. Jack-O-Lantern Answer: D) 40%

Step-by-step explanation:

1. 54 - 48 = 6

  6/48 = 0.125 x 100 = 12.5%

2. $20 - $12 = 8

    8/20 = 0.4 x 100 = 40%

Answer:

Here, I did the assignment. I wish you good luck!

Answer:

This information tells me that f equals a number and 3 multiplied by the number that f equals is 16.

Could I please have Brainliest?

Answer:

theres positive and negative

Step-by-step explanation:

i think that's what your talking about

Answer:

$10

Step-by-step explanation:

16 * 5 / 8 = 16 * 0.625 = $10

Answer:

Step-by-step explanation:

First, the data set is:

  Gender     Race        Salary   WorkTimeStatus   Education   Tenure

1. Female  Caucasian  32196     Full Time                     14yrs          2 yrs

2. Male      Black          62385    Full Time                     16yrs         10yrs

Now to the questions:

(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).

(B) This data set contains 6 variables;

1. Gender  2. Race  3. Salary  4. Work time status  5. Years of education

6. Number of years in/with the company

(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:

3. Salary   5. Years of education   6. Years with the company

Altogether, 3 in number

(D) The qualitative variables are:

1. Gender   2. Race   4. Work Time Status

Altogether that's 3 variables

Answer:

y = 200

Step-by-step explanation:

Use the equation y = kx, where k is a constant.

Plug in the given x and y values, then solve for k:

y = kx

20 = k(8)

2.5 = k

Then, plug in k and the given x value, and find y:

y = 2.5x

y = 2.5(80)

y = 200

So, y = 200 when x = 80

Answer:

You need to solve for x

Step-by-step explanation:

3x + 5 + 10x - 7 = 180

13x + 5 - 7 = 180

13x - 7 = 175

13x = 182

x = 14

Plug in x

3(14) + 5 for QRT and 10(14) - 7 for TRS

QRT = 47 and TRS = 133

Answer:

QRT = 47

TRS = 133

Step-by-step explanation:

The two angles form a straight line so they add to 180

3x+5 + 10x-7 = 180

13x-2 =180

Add 2 to each side

13x-2+2 =180+2

13x= 182

Divide by 13

13x/13 = 182/13

x =14

We want QRT = 3x+5 = 3*14+5 = 42+5 = 47

TRS = 10x-7 = 10*14-7 = 140-7 = 133

Answer:

it is 0.125

Step-by-step explanation:

......................

Answer:

21.3776

Step-by-step explanation:

Answer: 21.3776

This is what I got for the answer hope it helps.

One box of pencils costs rupees 28 . What is the cost of 509 boxes

Costs of total no. of pencil boxes

=1 pencil box's costs×No. of boxes

=509×28

=14252✓

Answer:

y=-2x+3

Step-by-step explanation:

Answer: -15, -8, -4, 1, 4, 8

Answer:

x=6/7            hope i did it right- im so sorry if thats wrong

Step-by-step explanation:

Answer:

A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] n = 14 [/tex]

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

[tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

Solve for n.

[tex] 4n + 22 + 8n - 10 = 180 [/tex]

Collect like terms

[tex] 12n + 12 = 180 [/tex]

Subtract 12 from both sides

[tex] 12n + 12 - 12 = 180 - 12 [/tex]

[tex] 12n = 168 [/tex]

Divide both sides by 12

[tex] \frac{12n}{12} = \frac{168}{12} [/tex]

[tex] n = 14 [/tex]

C. Plug in the value of 14 to get the measurement of both angles

[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]

[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]

Answer:

This is a population

a) Female

Mean : 2.432857143kg

Variance: 0.05162040817kg

Standard deviation: 0.2272012504kg

b) Male

Mean : 2.641428571kg

Variance : 0.03432653062kg

Standard deviation: 0.1852742039kg

Step-by-step explanation:

a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.

a) Female: 2.45 2.57 2.81 2.37 2.01 2.50 2.32

Mean

The formula = Sum of term/ Number of terms

Mean = 2.45 + 2.57 + 2.81 + 2.37 + 2.01 + 2.50 + 2.32/7

17.03/7

= 2.432857143kg

Variance

This is a population

Hence: The formula for Population variance =

= (X - Mean)²/N

Where N = Number of terms = 7

= (2.45 - 2.432857143)² + (2.57 -2.432857143)² + (2.81 -2.432857143)² + (2.37- 2.432857143)²+ (2.01 - 2.432857143)²+ (2.50 - 2.432857143)² + (2.32 - 2.432857143)² /7

= 0.0002938775509 + 0.01880816325 + 0.1422367347 + 0.003951020409 + 0.1788081633 + 0.004508163265 + 0.0127367347/7

= 0.3613428572/7

= 0.05162040817kg

Standard Deviation

Formula = √Variance

= √0.05162040817

= 0.2272012504kg

b. Determine the mean, variance, and standard deviation for the male weights

Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Mean

The formula = Sum of term/ Number of terms

= 2.86 + 2.65 + 2.75 + 2.60 + 2.30 + 2.49 + 2.84/7

= 18.49/7

= 2.641428571 kg

Variance

= ( 2.86 -2.641428571)² + (2.65 - 2.641428571)² + (2.75 -2.641428571)² + (2.60 +2.641428571)² + (2.30 - 2.641428571)² + (2.49+2.641428571)² (2.84 + 2.641428571)²/7

= 0.0477734694 + 0.00007346938775 + 0.01178775511 + 0.001716326531 + 0.1165734694 + 0.02293061224 +! 0.03943061226/7

= 0.2402857143/7

= 0.03432653062kg

Standard Deviation

= √Variance

= √0.03432653062

= 0.1852742039kg