Which function describes the graph shown below?

On a coordinate plane, a curve crosses the y-axis at (0, negative 2), increases to negative 2.5, decreases to negative 2.5, and then increases again.
y = one-half sine (x) minus 2
y = 2 sine (x) minus one-half
y = one-half cosine (x) minus 2
y = 2 cosine (x) minus one-half

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

x = 10 is your answer

- Explain -

Step 1: subtract 1 from both sides (subtraction of equality)

which will give us:

2x = 21 - 1

which equals to

2x = 20

Step 2: Divide both sides by 2

which is

2x/2 = 20/2

2/2 = 1 and 20/2 = 10

Therefore the answer is x = 10

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Answer:

124 sq cm

Step-by-step explanation:

Surface Area of the recatangles on both sides is 50 cm each so

50+50=100

and the area of the two triangles is 12 each so

12+12=24

and 100+24=124

Answer:

184cm^2

Step-by-step explanation:

SA=hp+2B

h=10

p=16

hp=160

B= 1/2bh

B=12

12x2=24

hp+2B= 24+160= 184

Answer:

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

Answer:

Area is: 1,728 inches

Perimeter is: 168 inches

Step-by-step explanation:

Area= Length times width

Perimeter= length plus length plus width plus width.

Answer:

1.728 is the perimeter. the area is 84.

Step-by-step explanation:

all you do multiply for perimeter and add for area.

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

Answer:

116800

Step-by-step explanation:

14600x8

166800

Answer:

b

Step-by-step explanation:

hope this helps you

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Answer:

15,760

Step-by-step explanation:

I just added all of them...

The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

To find the sticker price we just need to add all the extras to the suggested retail price:

suggested retail price       $13,760

air conditioner                    $800

cruise control                     $235

custom sound system       $490

destination charge            $475

total sticker price = 13,760 + 800 + 235 + 490 + 475

                              = 15,760

The total sticker price would be $15,760.

The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.

Learn more about addition;

https://brainly.com/question/14092461

#SPJ2

Answer:

C=5n

Step-by-step explanation:

A linear function

Directly proportional

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

Answer:

6

Step-by-step explanation:

Let "a number" = x

44 = 8x - 4

Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 4 to both sides:

44 (+4) = 8x - 4 (+4)

44 + 4 = 8x

48 = 8x

Isolate the variable, x. Divide 8 from both sides:

(48)/8 = (8x)/8

x = 48/8

x = 6

6 is your answer.

~

Answer:The number is 6.

Step-by-step explanation:

8n - 4 =44

    +4     +4

8n =48

n=6

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

Answer:

z = - 0.33

Step-by-step explanation:

Given that:

Mean (μ) = 73, standard deviation (σ) = 3.0

Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72

For x = 72, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]

z = - 0.33

Answer:

−0.33

Step-by-step explanation:

just did it oh khan

Answer:

7

Step-by-step explanation:

x^5/x^-2=x^n

x^5=x^n×x^-2

x^5=x^-2+n

5=-2=n

n=7

this is 100% correct

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Answer:

30 years

Step-by-step explanation:

41 minus 11=

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

or you can split the square with a diagonal into 2 triangles, get the area of each and add them up

or split the square in half and find the area of both rectangles and then add them together

Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation: