The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour). A graph titled Baseball Speed has speed of swing (in miles per hour) on the x-axis, and distance (in feet) on the y-axis. A line goes through points (0, 0), (40, 200), (60, 300). Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?

Answer/Step-by-step explanation:

✔️Slope of the first graph:

Using two points on the line, (0, 1) and (3, 2),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{3 - 0} = \frac{1}{3} [/tex]

Slope = ⅓

✔️Slope of the second graph:

Using two points on the line, (0, 0) and (1, 1),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 0}{1 - 0} = \frac{1}{1} = 1 [/tex]

Slope = 1

✔️Slope of the third graph:

Using two points on the line, (0, 1) and (2, 2),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 1}{2 - 0} = \frac{1}{2} [/tex]

Slope = ½

The correct slopes of the graphs are as follows:

1.   m = 1 / 3

2. m = 1

3. m = 1 / 2

slope = m = y₂ - y₁ / x₂ - x₁

1.

(0, 1)(6, 3)

m = 3 - 1 / 6 - 0 = 2 / 6 = 1 / 3

2.

(0, 0)(3, 3)

m =  3 - 0 / 3 - 0 = 3 / 3 = 1

3.

(0, 1)(4, 3)

m = 3 - 1 / 4 - 0 = 2 / 4 = 1 /2

learn more: https://brainly.com/question/20423510?referrer=searchResults

Answer:

35°

Step-by-step explanation:

Each triangle has a total degree of 180° so you know that one triangle has degrees of 90°&55° then you can subtract that from 180 to find out. But since they are similar they have to have the same angles and the first triangle tells you the missing angle.

As soon as I can. We dont want no stanky toesss

Answer:

m=5

Step-by-step explanation:

-2m-10+14=-6

-2m+4=-6

-2m=-10

m=5

Answer:B

Step-by-step explanation:

Question:

Which system of equations could you use to determine where the paths intersect?

y=0 and y= -0.12(x-20)^2

y=0.8x and y= -0.12x^2+20

y=0.8x and y= -0.12(x-20)^2

y= 0.8x+8 and y = -0.12x^2+20

Answer:

B.

Answer:

b, c, and f

just divide 24/30 and youll arrive at .8! .8 is also the same as 8/10 and 80%

Answer:

y=1x+1

Step-by-step explanation:

We already know the Y intercept is 1 from the first set of points given

The change in x is 2 and the change in Y is also 2 so when you make the slope equation y/x you get 1

Pluggin in the numbers you get: y=1x+1

Answer:

65 yards.

Step-by-step explanation:

The answer is 65 yards because 1 yard is 36 inches and 2340 divided by 36 is 65.

Answer:

the answer is 65 yards.

Answer:

1. x=8

the other ones i got was decimals and i dont think you want those for this assignment

Step-by-step explanation:

Answer:

the answer is -10

Step-by-step explanation:

hope this helped you!!!!

Answer:

-10 the guy above is correct :3

Step-by-step explanation:

Answer:

[tex]x^{\circ}=137^{\circ}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 3/4x = 1/2       2) 2x = 3/11        3) 1 1/2 x = 12      4) 1/5x = 1/6

   x = 1/2 * 4/3         x = 3/11 * 1/2       3/2x = 12             x = 1/6 *5/1

    x = 2/3                   x = 3/22              x = 12 * 2/3       x = 5/6

                                                               x = 4*2

                                                               x= 8

5) 5x = 15/21           6) 2/3 x  = 3/2

    x = 15/21 *5               x = 3/2 * 3/2

    x = 75/21                  x =9/4

    x = 3.5                      x = 2.25

plz mark as Brainliest

Answer:

Step-by-step explanation:

Step one:

given data

actual reading= 350°F

thermometer reading 2% of the actual reading

Step two:

Required:

The thermometer reading

let us find 2% of 350°F

2/100*350°

=0.02*350

=7°F

Hence the thermometer reading is 7°F greater than  350°F

The thermometer reading is 350+7=357°F

It is -9. Rise over run. 9 up, 1 to the left, 9/1 = 9. Because the line goes down to the right, it is negative.

Please put me as the brainiest.

Answer:

The rate of change is - 1/4

Arielle has 374 grasshoppers and 187 crickets in all.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let's set

x = number of grasshoppers

y = number of crickets

Arielle has a collection of 561 insects, therefore

x + y = 561            [1]

The number of grasshoppers is twice the number of crickets, so

x = 2y                   [2]

Substituting [2] in [1]:

2y + y = 561

Simplifying

3y = 561

Dividing by 3

y = 561/3

y = 187

From [2]:

x = 374

x = 374

Hence, the number of each type of insect that she has 374 grasshoppers and 187 crickets

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Answer:

t = 44 years

Step-by-step explanation:

t = (1/r)(I/P-1)

t = (1/0.05) {(8000/2500) - 1}

t = 44

Answer:4

Step-by-step explanation:if you replace each "x" in the equation with the given x (-15) then it should go as such:

2(-15-5)-(3(-15)+1)

Then simplify

2(-20)-(-45+1)

2(-20)-(-44)

-40-(-44)

-40+44

4

Answer:

0.6 hope it helps

Step-by-step explanation:

Answer:

the answer is 0.6

Step-by-step explanation:

[tex]\frac{21}{35}=\frac{3}{5}[/tex]

[tex]\frac{3}{5}=0.6[/tex]

hope this helps :)

Answer: 16 m

Step-by-step explanation:

Using the Pythagorean theorem you can find the height of the mast.

The formula is;

a² + b² = c²

a is one side of the triangle such as the width

b is another side such as the height

c is the hypotenuse which is the longest side.

c will therefore be 20m.

a will be 12m

12² + b² = 20²

b² = 400 - 144

b² = 256

b = √256

b = 16m

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

[tex]S - F = 5[/tex] ---- (1)

From the second, we have:

[tex]S - B = 8[/tex] ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

[tex]F = S - 5[/tex]

[tex]B = S - 8[/tex]

Their product is represented as follows:

[tex]F * B = 40[/tex]

Substitute values for F and B

[tex](S - 5) * (S - 8)=40[/tex]

Open bracket

[tex]S^2 - 5S -8S + 40 = 40[/tex]

[tex]S^2 - 13S + 40 = 40[/tex]

Subtract 40 from both sides

[tex]S^2 - 13S = 0[/tex]

Factorize:

[tex]S(S - 13) = 0[/tex]

Split:

[tex]S = 0[/tex] or [tex]S - 13 = 0[/tex]

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

[tex]S - 13 = 0[/tex]

Make S the subject

[tex]S = 13[/tex]

Hence, Sarah is 13 years old

Answer:

47.5

Step-by-step explanation:

keep 47 there

1/2 as a decimal well we know 1/2 is equivalent to 0.5 so just combine 47 & 0.5 and you'll get 47.5

Answer

I believe it is 47.5. I hope it helps!

Answer:

x^2 + 16x + 64 = (x + 8) (x + 8)

Step-by-step explanation:

Hope this helps. have a nice day

Answer:

10,000,000

Step-by-step explanation:

If you convert 100% into a decimal, which would be 1 whole, and multiply that by 10,000,000, you would get the same number.

Answer:

The answer is 10000000

Step-by-step explanation:

0.1*10000000= 1000000

Answer:

um 145 lbs

Step-by-step explanation: basic math bruv

Answer:

145 lbs

Step-by-step explanation:

Answer:

$18.05

Step-by-step explanation:

Answer:

The sale price is $0.95

Answer:62

Step-by-step explanation: I just did it and got it right

They have the same amount of tokens after t = 7.6 hours.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour.

So, a number of token he losses after t hours is 3 token per hour × t hours = 3t.

Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and find two tokens on the ground per hour, he gains 2 tokens per hour.

So, number of token he gains after t hours is 2 token per hour × t hours = 2t.

Thus, the number of tokens he has after t hours is T' = 12 + 2t

To find the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

Now collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

Then dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

Hence, they have the same amount of tokens after t = 7.6 hours.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

480 duh

Step-by-step explanation: