Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?

Answers

Answer 1

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1


Related Questions

Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is

M(t)= (1/11.5t)^2 , t < 2/3

Required:
Calculate the standard deviation of X + Y.

Answers

The moment generating function of each random variable is;

M(t) = (1/(1 - 1.5t))^(2), t < 2/3

Answer:

SD[X + Y] = 3

Step-by-step explanation:

For ease of differentiation, let's rewrite the M(t) function as;

M(t) = (1 - (3/2)t)^(-2)

Let's find the first derivative of the function;

M'(t) = 3(1 - (3/2)t)^(-3)

To get E[X], we will put 0 for t to get;

E[X] = 3(1 - (3/2)0)^(-3)

E[X] = 3

Now,let's find the second derivative of M(t)

M"(t) = (27/2)(1 - (3/2)t)^(-4)

At,t = 0, we will get E[X²]

Thus;

E[X²] = 27/2

Now, Var[X] = E[X²] - (E[X])²

Var[X] = (27/2) - 3²

Var[X] = 9/2

We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;

Var[X + Y] = 9/2 + 9/2

Var[X + Y] = 9

Now,we know that square root of variance is standard deviation. Thus;

SD[X + Y] = √9

SD[X + Y] = 3

I'm lost on this please help

Answers

Answer:

Y=1/4x+33/4

Step-by-step explanation:

Y=1/4x+b

9=1/4(3)+b

9=3/4+b

8.25=33/4=b

Y=1/4x+33/4

For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer

Answers

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Help me please I give brainliest and be serious

Answers

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

What is the answer to this

Answers

Cos(theta)=a/h
Cos(theta)=12/13
Theta=cos^-1(12/13)
Theta=22.62 degrees

Hope it helps

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.

Answers

Answer:

C

Step-by-step explanation:

|x+3 , if x = 2. Plz help I will pick brainlist

Answers

Answer:

1(2)+3=5

Step-by-step explanation:

ce este un numar rational?

Answers

Answer:

ratio

Step-by-step explanation:

ratio what that person said ^^^^! Byeee^

C(x)=4x; R(x) = 6X-.001x²
Marginal cost?

Answers

Answer:

the answer is to commit uninstall

Step-by-step explanation:

gg wp

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

53 and 17

Step-by-step explanation:

If you add 53 and 17, you get 70.

If you subtract 17 from 53, you get 36. Hope this helps!

Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?

Answers

If jill collected 19 gallons equally between 7 jars it will 109

CAN SOMEONE HELP ME PLZZZ

Answers

Answer:2440

Step-by-step explanation:

Which equation is another way to show
5/4?

A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=

Answers

Answer:

D

Step-by-step explanation:

5 divided by 4 is just 5/4 written out

Pleaseeeee helppppppp

Answers

Answer:

TIK TOK

Step-by-step explanation:

ON THE CLOCK  

the answer should be 12,
the area of a triangle is 1/2bh
so (1/2)(3)(8)=12

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

Which expresses shows another way to write 36+16?

Answers

4(9 + 4), because :

4 * 9 + 4 * 4 = 36 + 16

What is the surface are of the box in square meters that Elizabeth decorates

Answers

Answer:

Step-by-step explanation:

the parallelogram height is 1 and 1/2 times the base length and the base length is 6

Answers

are you asking to find the area

*NEED HELP QUICKLY*

my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.

Answers

Answer: undefined

Step-by-step explanation:

I think im not sure tho

Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?

Answers

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

What is the answer
How do you solve it

Answers

Answer:

-50y+(-80)

Step-by-step explanation:

How many 1/5 are in 20? Enter your answer in the bo

Answers

Answer:

4

Step-by-step explanation:

20 devided by 1/5 is 4

What is the area of the top AND bottom faces?

Answers

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!

Answers

A. 90°

yeah yeah dababy car dababy

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

-4x - 4(6x-14) +8(6x-10) - (20x -18)

Answers

Answer:

I believe it is -6

Step-by-step explanation:

The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer

Answers

Answer:

more information

Step-by-step explanation:

What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)

Answers

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

m=(13-5)/(6-2)

m=8/4

m=2

b=y-mx

b=5-2*2

b=5-4

b=1

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-5)/(6-2)

m=8/4

m=2

y-y1=m(x-x1)

y-5=2(x-2)

y-5=2x-4

y=2x-4+5

y=2x+1

slove this plzzz plzzz​

Answers

Answer:

an equilateral triangle have equal angles and equal sides.

so, side x and side bc are 12.

Answer:

It's going to be 12, so is the other size.

Step-by-step explanation:

You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D

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