A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

What is the constant speed of Speedy Sam?

Who ran faster?

Answers

Answer 1

Using linear function concepts, it is found that:

The constant speed of Fast Freddy is of 0.25 miles per minute.The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:

mF = 1/4 = 0.25 miles per minute.

The constant speed of Fast Freddy is of 0.25 miles per minute.

For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:

mS = 2/16 = 1/8 = 0.125 miles per minute.

The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

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Answer 2

Answer:

1/4 1/8 and Freddy was faster

Step-by-step explanation:


Related Questions

Which scatter plot best represents a linear association between y and x ? ​

Answers

Answer:

D

Step-by-step explanation:

it looks more like a line.

A is exponential

B is a parabola

C is no association

Write in decimal form:

7 × 100 +
6 × 10 +
5 × 1 +
0 × (1/10) +
3 × (1/100) +
7 × (1/1000)

Answers

Answer:

765.037

Step-by-step explanation:

7 x 100 = 700

6 x 10 = 60

5 x 1 = 5

0 x (1/10) = 0

3 x (1/100) = 0.03

7 x (1/1000) = 0.007

Add them all up and you'll get 765.037.

What is the sum of 5.2 x 108 and 2.3 x 108?

Answers

Answer: 7.5 × 10⁸

Step-by-step explanation:

They are both rairaised to power of 8, so you can add 5.2 and 2.3

when 1/6 is written as a repeating decimal, which decimal is repeating

Answers

Answer:

1.66666... the number 6 is repeating

Answer:

1. ¯6 or 1.66666.... and 6 is the repeating number

Percent of change 125 is increased to 200

Answers

Answer:

60

Step-by-Step Explanation:

(200-125):125*100 =

(200:125-1)*100 =

160-100 = 60

Now we have: What is the percentage increase/decrease from 125 to 200 = 60

Answer:

+63%

Step-by-step explanation:

We need to divide to solve this :)

125/200 = 0.63 x 100 = 63%

Have an amazing day!!

Please rate and mark brainliest!!

percent discount

A $55.00 purse is on sale for $30.25

Answers

Answer:

2475%

Step-by-step explanation:

-
Try it! 2
A test weight is dropped from the top of a fire department
training tower onto a net three feet off the ground. Use - 16t2 for the change
in height per second.?
a.) Write an equation to determine the time
it takes for the test weight to drop on the
net.
67 ft
b.) How long does it take before the test
weight is caught by the net? Explain.

Answers

Using quadratic function concepts, it is found that:

a) The equation is: 16t² - 64 = 0.

b) It takes 4 seconds before the weight is caught by the net.

What is the quadratic equation for a projectile's height?

It is given by:

h(t) = -16t^2 + v(0)t + h(0).

In which:

v(0) is the initial velocity.h(0) is the initial height.

Item a:

In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.

Then, the equation for the height is given by:

h(t) = -16t^2 + v(0)t + h(0)

h(t) = -16t^2 + 67

It hits the net when h(t) = 3, hence:

3 = -16t^2 + 67

16t² - 64 = 0.

Item b:

16t² = 64

[tex]t = \pm \sqrt{4}[/tex]

t = 4, as time is positive.

It takes 4 seconds before the weight is caught by the net.

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The Tookesons want to trade in their station wagon on the purchase of a new station wagon. A used vehicle guide shows the average trade-in value is $9,480. They add $150 for air-conditioning, $75 for anti-lock brakes, and $150 for the CD player. They subtract $100 for a manual transmission and $300 for excessive mileage. What is the average trade-in value of their wagon?

Answers

Answer:

George Garcia wants to purchase a used station wagon. One used-vehicle guide shows the average retail value of the station wagon at $13,000. Add $50 for having ...

2 pages

Step-by-step explanation:

The Algebra teachers at Blue Field High School need to buy new textbooks and calculators for the math department. The textbooks cost $105.00 each, and the calculators cost $120.00 each. If the teachers have $4,000 to spend and purchase 25 calculators, how many textbooks can they buy?

Answers

Answer: 9 textbooks

Step-by-step explanation:

25 x 120.00 = 3,000

4,000 - 3,000 = 1,000

9 x 105.00 = 945

1,000 - 945 = 55

The teacher can only buy 9 textbooks since she/he doesn't have enough money to get anymore.

Um, what's the value of e,
[tex]9e+4=-5e+14+13e[/tex]

Answers

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

→ Answer :-

[tex]\sf{e = 10}[/tex]

→  Explanation :-

[tex]\sf{9e \: + \: 4 = -5 \: + \: 14 \: + \: 13e}[/tex]

Group like terms:

        [tex]\sf{\sf{9e \: + \: 4 = -5 \: + \: 13e \: + \: 14}[/tex]

Add similar elements: [tex]\sf{^-^5^e \: ^+ \: ^1^3^e \: ^= \: ^8^e}[/tex]

        [tex]\sf{9e \: + \: 4 = 8e \: + \: 14}[/tex]

Subtract [tex]\sf{4}[/tex] from both sides:

        [tex]\sf{9e \: + \: 4 - 4 = 8e \: + \: 14 \: - \: 4}[/tex]

Simplify:

        [tex]\sf{9e = 8e \: + \: 10}[/tex]

Subtract [tex]\sf{8e}[/tex] from both sides:

        [tex]\sf{9e \: - \: 8e = 8e \: + \: 10 \: - \: 8e}[/tex]

Simplify:

        [tex]\sf{e = 10}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

e = 10

Step-by-step explanation:

In this question we are provided with an equation that is 9e + 4 = -5e + 14 + 13e . And we are asked to find the value of e .

Solution : -

[tex] \longrightarrow \qquad \: 9e + 4 = {-5e} + 14 + { 13e}[/tex]

Step 1 : As there are like terms in right side . So we are solving them and get :

[tex] \longrightarrow \qquad \: 9e + 4 = 14 + 8e[/tex]

Step 2 : Subtracting 4 on both sides :

[tex] \longrightarrow \qquad \: 9e + \cancel{4 }- \cancel{4 }= 14 + 8e - 4[/tex]

Now , cancelling 4 with -4 and subtracting 4 from 14 :

[tex]\longrightarrow \qquad \: 9e = 10 + 8e[/tex]

Step 3 : Subtracting 8e on both sides :

[tex] \longrightarrow \qquad \: {9e } - {8e } =10 + \cancel{ 8e} - \cancel{ 8e}[/tex]

On further calculating , we get :

[tex]\longrightarrow \qquad \: \underline{\boxed{\bold{ \frak{{e = 10}}}}}[/tex]

Therefore , value of e is equal to 10.

Verifying : -

We are verifying our answer by substituting value of e in given equation. So ,

9e + 4 = -5e + 14 + 13e

9 (10) + 4 = -5 (10) + 14 + 13 (10)

90 + 4 = -50 + 14 + 130

94 = -50 + 144

94 = 94

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for e is correct .

#Keep Learning

step right up for a new brainiest fair answer the question you get right you win the glorious brainiest

Answers

Answer:

Mean → 9

Median → 7

Mode → 4

Step-by-step explanation:

For mean ↓

(9+4+17+4+7+8+14) ÷ 7 = 9

For median ↓

G U E S S E D

For mode ↓

Mode is 4 because it is shown twice in the data.

2 x 2 = 4

Hope this helped! :^)

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✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/14/2022 at 6:31 PM

(To avoid plagarism, by users whom decide to copy.)

Which measure does not change when a wave moves from one medium to another?(1 point)

Answers

Answer:

The frequency and phase.

Step-by-step explanation:

The medium has no effect on the frequence or the phase.

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

A. $1.57 per pen

B. $15.67 per pen

C. $15.67 pens per dollar

D. $1.57 pens per dollar

Answers

Answer:

c

Step-by-step explanation:

Edgar has $30 in an account that earns 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years?

Answers

Answer:

Total Interest = $3.08

Step-by-step explanation:

A = P (1 + r/n)^(nt)

A = 30(1+.05/1)^(1*2)

A = 33.08

We want to find interest only so subtract principal amount from total value

33.08-30 = 3.08

Total Interest = $3.08

Total Value = $33.08

Mark brainliest please!

-28-6b=8 I can’t get the answer I need help.

Answers

Answer:

6

Step-by-step explanation:

-28-6b=8

-6b=36

b=6

solve for x:
x/9 − 5 = 5

x=

Answers

Answer: 90

Step-by-step explanation:

10 - 5 = 5 and 90/9 = 10 so x is 90

A shop owner has only a 1 kg, 2kg, 4kg, and 8 kg weight for the balancing scale. Which of the following bags of flour cannot be weighted on this balance scale?​

Answers

Answer:

see below

Step-by-step explanation:

Need the choices,    1- 15 can be weighed   but 16 cannot be weighed

Identify the slope and y-intercept of each of the following lines. Then graph each line.
6x + 2y = 12
attached graph
I am confused...

Answers

Answer:

y=6−3x

y=mx+b

y=−3x+6

Find the values of m and b using the form y=mx+b.

m=−3

b=6

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

y-intercept: (0,6)

x, y

0,6

2,0

Step-by-step explanation:

hope this helps

Answer:

Below!

Step-by-step explanation:

The provided equation is in standard form. To convert it to slope intercept form, we need to have the y-variable isolated (as much as possible) on the L.H.S. Let's start the process by subtracting 6x both sides. This will isolate the y-variable and the cooeficient of the y-variable.

⇒ 6x + 2y = 12⇒ 6x - 6x + 2y = 12 - 6x⇒ 2y = 12 - 6x

To further isolate the "y" variable, let's divide 2 both sides. This will isolate the cooeficient of the y-variable. Once the cooeficient of the y-variable is fully isolated, we simply need to simplify the R.H.S (If needed). Then, the equation obtained is in slope intercept form.

⇒ 2y/2 = 12/2 - 6x/2⇒ y = 12/2 - 6x/2

LIkewise, since the R.H.S can be simplified, let's simplify the R.H.S. The equation we obtained for now is in slope intercept form, but the simplified equation would help us to graph the line.

⇒ y = 12/2 - 6x/2⇒ y = 6 - 3x

When we look at the slope intercept form formula (y = mx + b), we can see that "6" and "3x" needs to be switched.

⇒ y = -3x + 6                                                    (Slope intercept form)

Finally, lets plot the line on the graph. To plot the line on the graph, we need to determine the x-intercept and the y-intercept.

y-intercept: (0, 6)

The x-intercept is the R.H.S of the equation we obtained. Keep in mind that the "y" variable will be 0.

⇒ -3x + 6 = 0

Once we found the solution, we will determine two points of the line and lastly, we will plot the line on the graph.

⇒ -3x + 6 - 6 = 0 - 6⇒ -3x = -6⇒ -3x/-3 = -6/-3⇒ x = 2

Thus, we obtained the following points:

x-intercept = 2 ⇒ Point obtained: (2, 0)y-intercept = 6 ⇒ Point obtained: (0, 6)

→ Then, plot these points on the graph. Remember, x coordinate first.

→ Finally, we can draw a line through these points.

And we are done!

Graph:

Number of elements in a set
I = (factors of 12​

Answers

Answer:

1,2,3,4,5,6, 12

Step-by-step explanation:

because each of those divides 12

Two prisms are similar and their ratio of similarity is 4:9.

Find the area of a base of the larger prism if the area of a base of the smaller prism is 47 square units.

Round to the nearest hundredth.
Pls show work!<3

Answers

Answer:

9:4,4:9,7:4,4:7,473

Step-by-step explanation:

4 times 9

9 times 4

7 times 4

4 times 7

473

3(y-3)=-2y+6

it’s on my hw i don’t understand

Answers

y=3

explanation

3(y-3)=-2y+6

3y-9=-2y+6

5y-9=6

5y=15

y=3

The answer is y=3
Just move the parentheses then move the terms

LOOK AT THE PICTUREE ILL TRY GIVING BRAINLYEST

Answers

Answer:   1/2

Step-by-step explanation:   rise/ run

What is the area under the curve f (x) e ^ 2x between x1 = 0 to x2 = 2.​

Answers

Answer:

26.75 unit^2 to the nearest hundredth.

Step-by-step explanation:

Integrating between the 2 limits:

            2                            2

Area =   ∫    e^2x dx     =   [   1/2 e^2x ]

            0                            0

= 1/2( e^4 - e^0]

= 1/2(54.598 - 1)

= 26.749

A town has a population of 90,200 and shrinks at a rate of 2% every year. Which equation represents the town’s population after 7 years

Answers

Answer: f(x) = 90,200 (1-.002)^7

Step-by-step explanation:

f(x) = a (1 - r)^t

a - initial amountr - ratet - time

f(x) = 90,200 (1-.02)^7

The equation f(7) = 90,200 (1 - 0.02)⁷  represents the town’s population after 7 years.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A town has a population of 90,200 and shrinks at a rate of 2% every year.

As we know the exponential equation for the population as

f(n) = a (1 - r)ⁿ

Where a is the initial population

r is rate

n is years

As per the question, we have

a = 90,200, r = 2/100 = 0.02, and t = 7 years

Substitute the known values in the above equation, and we get

f(7) = 90,200 (1 - 0.02)⁷

This equation represents the town’s population after 7 years.

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can someone help with this​

Answers

Answer:

2.4

Step-by-step explanation:

6 / 2 1/2 = 2.4

Hope This  Helps

A clerk earns $125 per day, plus a commission equal to
10% of her sales, s. The clerk earns less than $180 on
Monday
Enter an inequality that represents all possible values for
the clerk's sales, s, on Monday.

Answers

The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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Find the perimeter of the parallelogram please.​

Answers

Answer:

39.6

Step-by-step explanation:

The perimeter is simple, just add the sides up which is 19.2+20.4 which is the answer.

Answer: 39.6

Step-by-step explanation: 2 (Length + width)

2( 10.2 + 9.6)

In circle G with m \angle FGH= 86m∠FGH=86 and FG=16FG=16 units, find the length of arc FH. Round to the nearest hundredth.

Answers

The length of arc FH in the circle 8.37 units.

What is circle?

In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.

Here,

To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:

m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees

Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:

m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees

To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:

r = FG/2 = 16/2 = 8 units

The circumference of the circle is then:

C = 2πr = 2π(8) = 16π

To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:

Length of arc FH = (188/360) × C

Substituting the value of C, we get:

Length of arc FH = (188/360) × 16π

Simplifying and rounding to the nearest hundredth, we get:

Length of arc FH ≈ 8.37 units

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Answer:

FH=24.02

Step-by-step explanation: trust me

find the difference of squares

x^2 -225

81- 4y^2

9k^4 - 25

Answers

Answer:

1.(x+15)(x−15)

2.(9+2y)(9−2y)

3.(3k^2+5)(3k^2−5)

Step-by-step explanation:

hope this helps

Find the distance from A to C across the gorge illustrated in the figure

Answers

Applying the tangent ratio, the distance from A to C across the gorge, is:  60.6 ft.

What is Tangent Ratio?

The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.

Given the following:

∅ = 25°Adjacent length = 130 ftOpposite length = AC

Apply the tangent ratio:

tan 25 = AC/130

AC = (130)(tan 25)

AC = 60.6 ft

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