I WILL GIVE MORE POINTS IF I GET THE RIGHT ANSWER

Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)

Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points)

Answers

Answer 1

Answer:

v= 6km/h - 1km/h^2 * t

Step-by-step explanation:

From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour becomes 3km/h.

If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:  

v= v0 + a * t

To find the acceleration you need to do this equation:

acceleration= velocity1- velocity3 / t3-t1

a = (3km/h-5km/h)/ (3 hour- 1 hour)

a = (-2km/h)/2hour= -1 km/hour^2

After that, you need to find the initial speed. Try to put the 1st-hour variable into the full equation. It would look like this

v= v0 + a * t

5km/h= v0 + (-1 km/hour^2 * 1 hour)

v0= 5km/h + 1km/h

v0= 6km/h  

Then the full function would be:

v= 6km/h - 1km/h^2 * t

The graph would look like a backslash(\) from 5 gradually go down to 1.  

6                          

5 O                    

4      O                

3          O              

2              O            

1                   O      

   1   2  3  4  5


Related Questions

Now I need thissss pls

Answers

I think it’s 25 because 65 + 90 is 155 + 25 is 180

Carissa has a fish tank that can hold up to 50 gallons of water but it is leaking at a constant rate. When Carissa first notices the leak, the tank has 40 gallons of water. Two hours later the tank has 30 gallons. At what rate is the water leaking? Use a signed number, and include the unit of measurement in your answer.​

Answers

Answer:

for every 2 hour 10 gallons leak out

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?

Answers

Answer: 5 sides

Step-by-step explanation:

Select all that apply.

The figures below are similar because _____.


• they are congruent
• the corresponding angles are congruent
• the corresponding sides are proportional
• the corresponding sides are not proportional

Answers

A i’m gonna say the answer is alA but if they both have tick marks on the side it means they are the same. but can i see the picture first

Answer:

Mark me brainliest

Answers are, they are congruent, and corresponding angles are proportional

Step-by-step explanation:

what is the sum of the interior angles of a 28-gon?
s = (n-2) 180

Answers

Answer:

1,00090

Step-by-step explanation:

Fill in the blank to find the y-intercept of-x+2y=10

Answers

I think x is 20 I’m not sure tho since it would come out as -10 instead of positive

Identify the type of sequence shown and select the appropriate response.
4, 24, 144, 864, ...

A) Geometric sequence, common ratio is 6
B) Geometric sequence, common ratio is 20
C) Arithmetic sequence, common difference is 6
D) Arithmetic sequence, common difference is 20​

Answers

Answer:

the answer is A

Step-by-step explanation:

if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.

Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card?

Answers

Answer:

4

Step-by-step explanation:

bc I got jt right

Need help Pronto! Will give braintliest.

Answers

Answer:

b

Step-by-step explanation:

i’m pretty sure it’s B, but i’m not 100% sure, sorry if it’s wrong :(

5.
3x3 + 2y2 - xy for x = 2 and y = 3

Answers

Answer:

21

Step-by-step explanation:

Line segment W Y is an altitude in triangle WXZ.


Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.


If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?


AngleXWZ is an obtuse angle.

AngleXWZ is a right angle.

AngleXWZ is congruent to AngleWXY.

AngleXWZ is congruent to AngleXZW.

Answers

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

Answer:

B. XWZ is a right angle

Step-by-step explanation:

edge 2020 plz vote brainliest

At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?​

Answers

Answer:

18 kids

Step-by-step explanation:

72 x .25

18 is 25% or 72

Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetimes of the AAA batteries it produces. A random sample of 23 batteries produced by the manufacturer lasted a mean of 10.3 hours with a standard deviation of 2.4 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

Answers

Answer:

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

(8.889, 11.7106)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 23

Mean of the sample x⁻ = 10.3

Standard deviation of the sample (s) = 2.4

Level of significance = 0.05

Degrees of freedom = n-1 = 23-1 =22

Step(ii):-

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](10.3 - t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } )[/tex]

(10.3 -  2.8188 (0.50043) , 10.3 + 2.8188(0.50043)

(10.3-1.4106 , 10.3+1.4106)

(8.889, 11.7106)

final answer:-

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

(8.889, 11.7106)

A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph

Answers

Answer:

1.) 120 mph

2.) 30 mph

Step-by-step explanation:

Given that a  man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?

Let the wind speed = w

and the plane speed = p

From the first sentence,

P - w = 180/ 2

P - w = 90 ....... ( 1 )

From the second statement,

P + w = 180/1.2

P+ w = 150 ...... ( 2 )

Solve equation 1 and 2 simultaneously

P + w = 150

P - w = 90

Add the two equations

2P = 240

P = 120 mph

Substitute p in equation 1

W = 150 - 120

W = 30

Therefore, the wind speed is 30 mph and the plane speed is 120 mph

what are the coordinates of the pre-image of F'​

Answers

Step-by-step explanation:

is there a picture that you could put on here so i can see?

There isn’t a picture

explain how to find 45% of a number


A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.​

Answers

the question is c your welcome
I think it’s either a or c

Brainliest if answer

Answers

Answer:

a. 3:4

b. 1:1.3

(x+0)(x-3)(x+0)(x+5)

Answers

Answer:

x^2 + 2x - 15

Step-by-step explanation:

(x-3)(x+5) = x^2 + 2x - 15

hope this helps, pls mark brainliest :D

3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X

Answers

Answer:

.50 cents per pound

Step-by-step explanation:

Given: prove:x=15
Statements and reasons

Answers

Answer:

i think question is not clear

. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make​

Answers

i think the answer is Beth can make 8 dozen gingerbread men

The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.

What is Proportion?

Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.

Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.

Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins

Beth buys 4 boxes of raisins, each with 120 raisins in it.

Total number of raisins Beth bought = 4 × 120 = 480 raisins

So, 1 gingerbread can be made from 5 raisins.

Let x be the number of gingerbreads made from 480 raisins.

Using proportion,

1 : 5 = x : 480

1 / 5 = x / 480

Applying cross multiplication,

5x = 480

x = 480 / 5

x = 96

96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.

Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.

To learn more about Proportions, click on the link given below:

https://brainly.com/question/29774220

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what is √ − 3 ⋅ √ − 27 =

Answers

We are given the expression:

√-3 * √-27

__________________________________________________________

Explaining the concept:

We know that:

√ab = √a * √b

Using this concept, we will simplify the given expression and solve it

__________________________________________________________

Simplifying the expression:

√-3 * √-27

√(-1*3) * √[(-1)*(3)(3)(3)]

√-1 * √3 * √-1 * √3 * √3 * √3

(√-1 * √-1) * (√3 * √3 * √3 * √3)

(√-1)² * (√3)² * (√3)²

-1 * 3 * 3

-9

Hence, after simplifying the given expression, we get -9

what’s the answer to this problem? ASAP

Answers

the first answer which is 2 to the square root of 20
and the last one which is 2 to the square root of 10

2х + y = 4
у = 3х – 1

Answers

its 2 because 2plus is 2

The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?

Answers

Answer:

Option (2)

Step-by-step explanation:

Formula to get the surface area of a sphere is,

Surface area = 4πr²

Here 'r' = Radius of the sphere

We have to calculate the surface area of a sphere with radius r = 9 inches.

By substituting the value of r in the formula,

S = 4π(9)²

Therefore, Option (2) will be the correct option.

Answer:

B.    S = 4 pi r squared = 4 pi (9) squared

What is the missing number?"
IN
OUT
1
2
2
3
3
4
4
5
5
6
7

Answers

Number 6 hopefully it helped

What is 4 1/8 times 2 1/2

Answers

Answer:

[tex]\frac{33}{20}[/tex]

Hope this helps!

HELP PLEASE!! Two lines are drawn in the same plane.
Under what condition are the lines
perpendicular?
A two lines that never intersect
B. two lines that intersect and form right angles
C. two lines that intersect and form acute angles
D. two lines that intersect at more than one point

Answers

Answer:it is c or b

Step-by-step explanation:

The condition for the lines to be perpendicular will be two lines that intersect and form right angles. Then the correct option is B.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Two lines are drawn in the same plane.

If the two lines intersect then the angle between the line is 90 degrees.

The condition for the lines to be perpendicular will be two lines that intersect and form right angles.

Then the correct option is B.

The graph is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74

Answers

C :) brainiest? This is correct because I did the math lol

The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.

⇒ initial amount - check amount

⇒ $37.25 - $23.99

Apply the subtraction operations, and we get

⇒ $13.26

Therefore, the amount she will have left after writing a check for $23.99 is $13.26.

Learn more about Subtraction operations here:

brainly.com/question/25834626

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2 (t + 1) = 10
SOLVE FOR T

Answers

t = 4

divide each term by 2 and simplify

2(t+1)/2 = 10/2

t+1 = 10/2

t+1=5

t=5-1

t=4
2 (t+1) = 10

distribute the 2
2t+2=10

subtract the 2 over
2t=8

divide the 2
t=4

hope this helped!
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