The function below was generated using an equation of the form f(x) = asin(bx – c). On a coordinate plane, a function has a maximum of 3 and minimum of negative 3. It completes one period at pi. It increases through the y-axis at (0, 0). Find a, b, and c for the function such that the graph of f matches the figure. a = 3, b = –2, c = π a = 2, b = 3, c = –π a = 3, b = 2, c = –π a = 2, b = -3, c = π

Answer:

14, 16, and 18

Step-by-step explanation:

hope this helps!

Complete Question

An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.

A. Find the cost of painting this open box.

B. Find the weight of the water in the filled box

Answer:

A

[tex]x = \$ 294[/tex]

B

[tex]z =  3720 \  pounds[/tex]

Step-by-step explanation:

From the question we are told that  

  The length is  [tex]l  =  6 \ ft[/tex]

    The width is  [tex]b =  4 \ ft[/tex]

   The height is [tex]h  =  2.5 \  ft[/tex]

Generally the total surface area of the open, rectangular box is mathematically represented as

       [tex] T_ A = 2lb + 2lh + 2bh[/tex]

=>   [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]  

=>   [tex] T_ A = 98 \ ft^2 [/tex]

From the question we are told that

     $36.00 worth of paint  covers  [tex]12 ft^2[/tex]

So  $x worth of paint covers  [tex]98 \ ft^2[/tex]

=>  [tex]x = \frac{98 * 36}{12}[/tex]

=>   [tex]x = \$ 294[/tex]

Generally the volume of the open, rectangular box is mathematically represented as

     [tex]V  =  l *  b  *  h[/tex]

=>   [tex]V  =  6 *  4  *  2.5[/tex]

=>   [tex]V  =  60 \ ft^3 [/tex]

From the question we are told that  

[tex]1 ft^3[/tex]  weigh 62 pounds

[tex] 60 \ ft^3[/tex] weigh z pounds

=>  [tex]z = \frac{60 * 62}{1}[/tex]

=> [tex]z =  3720 \  pounds[/tex]

Answer:

If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:

The answer is 35

Since they are supplementary they both equal 180 degrees.

(3x+10)+(2x-5)=180

Add them up

5x-5=180

Subtract 5 from both sides

5x=180-5

5x=175

Divide 5 from both sides

x=35.

Answer:

hheikxkhyujherik

Step-by-step explanation:

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The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

The area under the standard normal distribution curve between z=o and z=1.47 can be found as,

Area = (Z=1.47) - (Z=0)

As per the z-table the values of z are,

Z = 1.47 = 0.9292

z = 0 = 0.5

Area = 0.9292 - 0.5

Area = 0.4292 = 42.92%

Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.

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Answer:

The value of the amplitude is -2

Step-by-step explanation:

The given parameters are;

The vertex of the parabola = (-2, 1)

The point through which the parabola passes = (0, -7)

The equation of the parabola can be expressed as follows;

y - y₀ = a·(x - x₀)²

Where;

y₀ = The y-coordinate of the vertex = 1

x₀ = The x-coordinate of the vertex = -2

Therefore, we substitute the known values of the coordinates of a point  the parabola to get;

-7 - 1 = a·(0 - (-2))²

-8 = 4·a

a = -8/4 = -2

The value of the amplitude a = -2.

Answer:

cv 454546

Step-by-step explanation:

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Answer:

-1

Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

Answer:

m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,

Step-by-step explanation:

360°

m< 1 = m< 3 → 76° (76°*2 = 152°)

360° - 152° = 208°

208°/2 = 104°

m< 2 = m< 4 → 104°

Answer:

12

Step-by-step explanation:

12 / 2 = 6

19 - 6 = 13

Answer:

12

Step-by-step explanation:

19-13 is 6

Half of 12 is 6

b

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

angle DEC and angle GHE are corresponding so they would be congruent or equal.

Answer:

130

Step-by-step explanation:

angle DEC and angle GHE are corresponding angles and they are same if they sit in parallel lines.

Answer:

0.55

Step-by-step explanation:

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

        Discount% for Carla = 19%

        The amount paid by Carla is,

        [tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]

        So, the amount paid by Carla was, $60.75.

        Discount% for Jeana = 20%

        The amount paid by Jeana is,

        [tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]

        So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Answer:

55%

Step-by-step explanation:

100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.

55/100 = 55%

Answer: 55%

Step-by-step explanation:

Given:

The arithmetic mean of three consecutive even integers is 20.

To find:

The equation that can be used to find the integers.

Solution:

Let the three consecutive even integers are x, x+2 and x+4.

We know that,

[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

The arithmetic mean of three consecutive even integers is:

[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]

It is given that, mean = 20. So,

[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]

Therefore, the correct option is E.

Answer:

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Answer: the first one is a matrix. the second one is functional.

Step-by-step explanation:

Answer:

If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a  

✔ matrix

organizational structure.

If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a  

✔ functional

organizational structure.

If a company has departments such as Northwest, South, and Northeast, it probably has a  

✔ divisional

organizational structure.

Answer:

b

Step-by-step explanation:

because X= the amount of time hes on each machine. so 8 times x

Answer: B

Step-by-step explanation:A P E X

Answer:

Lin walks 500 feet and Elena walks 500 yards

Step-by-step explanation:

First of all, 1 yard is greater than 1 feet, there relation is given by:

1 yard = 1 feet

From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.

Answer: lin walks 500 feet and elena walks 500 yards

Step-by-step explanation:

1 foot is smaller then one yard

Answer:

train tracks

Step-by-step explanation:

They have simple rotations and movemental frequences

The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

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Answer:

Step-by-step explanation:

As both are selling half of their stamps, the ratio won't change. It will be same:

Reason:

Georgia : Julie = 2 : 1

Let total stamps = x

Part of stamps that Georgia has = 2/3 of x

Part of stamps that Julie has = 1/3 of x

[tex]\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192[/tex]

Total stamps = 192

Stamps with Georgia = 192 - 64 = 128

After selling half of his stamp, Georgia has  = 128÷2  = 64

After selling half of her stamp, Julie has  = 64 ÷ 2  = 32

Ratio of stamps after selling half of their stamps = 64 : 32

                              = 2 : 1

 The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.

Juanita : Aisling = 3 : 1

Let total rocks = x

Part of rocks that Juanita has = 3/4 of x

Part of rocks that Aisling has = 1/4 of x

[tex]\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128[/tex]

Total rocks = 128

Rocks with Juanita = 128 - 32 = 96

After selling one fourth of his rock, Aisling has  = 32 ÷  4 = 8

After selling half of her rock, Juanita has  = 96 ÷ 4  = 24

Ratio of rocks after selling one fourth of their rocks =24 : 8

                              = 3 : 1