D = -38t + 220

Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second? ​

Answers

Answer 1

Answer: 38 meters per second

Step-by-step explanation:

D = -38t + 220 Rachel Is Driving A Race Car At A Constant Speed On A Closed Course. The Formula Shown
Answer 2

Rachel's speed is 38 m/s.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

D = -38t + 220

So, t = 1

D = -38t + 220

D = -38(1) + 220

D = -38+ 200

D = 182 m

So, v = [tex](D_0 - D_1)[/tex] / t

v = ( 220- 182) /1

v = 38 m/s

Hence, Rachel's speed is 38 m/s.

Learn more about Equation here:

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Related Questions

Find the measure of the missing angles.
147°

d =
e =

f=

Answers

Answer:

D = 90°

E = 147°

F = 33°

Step-by-step explanation:

E:

E is 147°, because it is vertical to the angle 147°

F:

F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

D:

D is worth 90°, because its supplement is worth 90°

-Chetan K

d = 90°
e = 147°
f= 330°

Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? How large an area could be covered with 315 lb of gravel?

Answers

The area and the amount of gravel are illustrations of proportions.

7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

The given parameters are:

[tex]252\ lb= 36ft^2[/tex]

The number of pound for an area of 1 square foot is calculated as follows:

[tex]x = 1ft^2[/tex]

So, we have:

[tex]x = 1ft^2[/tex]

[tex]252\ lb= 36ft^2[/tex]

Cross multiply

[tex]x \times 36 = 252 \times 1[/tex]

Divide both sides by 36

[tex]x = 7lb[/tex]

The area to be covered with 315lb gravel is calculated as follows:

[tex]315lb = y[/tex]

So, we have:

[tex]315lb = y[/tex]

[tex]252\ lb= 36ft^2[/tex]

Cross multiply

[tex]y \times 252 = 36 \times 315[/tex]

[tex]y \times 252 = 11340[/tex]

Divide both sides by 252

[tex]y = 45[/tex]

Hence, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

Read more about proportions at:

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Answer:

Here is a pic

Step-by-step explanation:

cause i got it right on IM

how do i get 51 by only using 8 5 6 7

Answers

Answer:

[tex]6+\frac{7!}{5!-8}[/tex]

Step-by-step explanation:

The only way to get this is by using advanced operations such as Factorials.

y-y1=m(x-x1) (solve for x)

Answers

Answer:

X= y-y1/m+x1

Step-by-step explanation:

there again

19. Ryan bought 5 boxes of cereal and spent $9.45. Solve
the equation 5b= 9.45 to find the cost of each box.

Answers

Answer:

$1.89

Step-by-step explanation:

Given Equation:

5b=9.45

What are we looking for?

b

We must solve by making b by itself:

5b=9.45

÷5      ÷5

b = 9.45/5

b = 1.89

Therefore, each box of cereal costs $1.89

Hope this helps!


PLEASE help me need solution please​

Answers

Answer:

The answer is letter B

Step-by-step explanation:

-5x^2+3x+10

-25x+3x(-5)+10

-25x-15+10

-40+10

30

9514 1404 393

Answer:

  A.  f(x) = x^2 -3x -10

Step-by-step explanation:

You can easily determine the correct equation by looking at a couple of table values.

The y-value for x=0 is -10, which is the constant in the quadratic formula. (eliminates choices B and C)

The y-value for x=1 is -12, which is the sum of coefficients in the quadratic formula. For choice A, the sum of coefficients is 1 -3 -10 = -12. For choice D, the sum of coefficients is 1 +3 -10 = -6. The value for choice D does not match the table, but the value for choice A does.

The function that represents the table is ...

  f(x) = x^2 -3x -10

_____

Additional comments

If you don't have equations to test, and you want to write your own equation, there are a couple of ways to do that. One is to look at the differences of y-values, and the differences of those.

The sequence of y-values shown is ...

  30, 18, 8, 0, -6, -10, -12

The sequence of differences of these numbers, starting with 18-30 = -12 is ...

  -12, -10, -8, -6, -4, -2

The sequence of differences of these numbers is ...

  2, 2, 2, 2, 2

The fact that they are constant tells you a quadratic (degree = 2) will describe the table.

We can find the coefficients a, b, c in the quadratic formula f(x) = ax^2 +bx +c as follows. First, we define d1 as the first of the sequence of differences (-12), and d2 as the value of the second differences (2). And we'll let x0 and y0 be defined as the first of the x-values (-5) and y-values (30).

The formulas for the coefficients (a, b, c) can be found from ...

  a = (d2)/2 = 2/2 = 1

  b = (d1) -a(2·(x0) +1) = -12 -1(2·(-5) +1) = -12 +9 = -3

  c = y0 -x0(a·x0 +b) = 30 -(-5)(1·(-5) +(-3) = 30 -40 = -10

As we noted above, the y-value corresponding to x=0 is also this c value. When the table includes x=0 and x=1, those can be used to simplify the finding of the formula coefficients.

These computations tell us f(x) = x^2 -3x -10, as above.

__

If you have to do this again, it might be useful to make a note of the expressions for 'a', 'b', and 'c' that we showed here, along with the definitions of the variables we used in them.

__

Another way to find the formula for f(x) is to make use of a calculator or spreadsheet capable of quadratic regression. Give it three (x, y) pairs from the table, and it can tell you the formula coefficients. This is illustrated by the attachment.

Find the area of the rectangle.
36
kilometers
(x-3) kilometers

Answers

Answer:

36x - 108 kilometers²

Step-by-step explanation:

Area = length x width

36 ( x - 3 ) =

36x - 108

-Chetan K

PLEASE HELP!! Pleaseee answer

Answers

Answer:

answer see below

Step-by-step explanation:

Draw four straight lines that are perpendicular to each other and use a compass to cut AB's length on each line to form a square.

50 people purchase item 5( the item 5 cost $18.94). seven of these customers use a coupon for 15% off. how much money do you make off the sales of item 5?

Answers

Answer:

$927.12

Step-by-step explanation:

18.94×50 =$947 15%× 18.94=2.84 2.84×7 =19.88 947-19.88=927.12

A sign at a zoo says that their baby elephant weighs 200 pounds. The weight was rounded to the nearest tenth. What could be the actual weight of the elephant before it was rounded?

Answers

Answer:

199.5lbs,  199.6lbs, 199.7lbs, 199.8lbs, 199.9lbs

You can choose any of the 5

BRAINLIEST)
Bilal eats one-quarter of a cake, and then half of what is left. How much cake is left uneaten?

Answers

1/4 + 2/3

= 3/12 + 8/12

=11/12

1–11/12

you have 1/12 left

Answer:

one-quarter left

Step-by-step explanation

pretty sure this is the answer, but i could be wrong

f(x)=3x²-5x+2, X= -2​

Answers

f(-2)= 3(-2)^2 -5(-2)
=3(4) + 10
=12 + 10
=22
f(-2) = 22

PLEASE I beg of you I need help with this question, PlEASE. will give 35 points
Which expression is equivalent to (x+3)(x-2)/(x+2)(x+3) for x ≠ -3,-2

A)x-2/x+3
B)x+2/x-2
C)x+3/x+2
D)x-2/x+2

Answers

Answer:

[tex]omitt \: x + 3 \\ \\ you \: have \\ \frac{x - 2}{x + 2} \\ \\ goid \: luck \\ \: and \: dont \: beg \: any \: one \: only \: study \: more[/tex]

i’m confsued…can someone help :)

Answers

Answer:

First we will find the surface area of the right triangle.

area of the right triangle=1/2*base*height.

now multiply it by 2 then we will get the S.A of both the right triangles.

Now, the other seems to be a rectangle,so find its area. And also the unseen side is a rectangle so find its area also .

And. now at the last. plus. the area of all the sides. you will get your answer. understand buddy.

Car A is traveling east at a steady speed of 50 miles per hour. After 2 hours, it
is 140 miles east of Johnstown.

Car B is traveling east on the same road. Its distance east of Johnstown is
represented by the graph.

Where were the two cars in relation to each other when they began traveling?

A. Car A was 20 miles east of car B
B. Car B was 40 miles east of car A
C. Car A was 40 miles east of car B
D. Car B was 20 miles east of car A

Answers

c car A was 40 miles east of car B

Answer:

Car A was 20 miles east of car B.

Step-by-step explanation:

just did it:)

Two sisters Anna and Shay left the home at the same time. They headed out in opposite directions towards their destination. Shay drove 50 mph faster than her sister Anna. Two hours they were 220 mph apart from each. What was Anna’s average speed?

Answers

Anna average speed is 30 mph.

( x + (x + 50) ) x 2 = 220
x = Anna’ s average speed

(Please see attached image first)
Suppose J=[−2 4 6 8].

What is the value of |J|?

Enter your answer in the box.

Answers

Answer:

|J| = - 40

Step-by-step explanation:

(-2)(8) - (6)(4)

-16 - 24

= - 40

Stacy likes to do aerobics 10 hours a week to stay in shape. She tracks the amount of time she does aerobics each week relative to her goal.The table shows the data for the last five weeks.Week12345Aerobics time (hours)2.8−21340−3What is the average aerobics time per week for Stacy relative to her goal number of hours?Drag a value to the box to complete the statement.Relative to Stacy's goal, her average aerobics time over the last five weeks is Response area hours.

Answers

Answer:

-0.45

Step-by-step explanation:

oof

Relative to Stacy's goal, her average aerobics time over the last five weeks will be 0.09.

What is the average rate change?

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Stacy likes to do heart-stimulating exercises 10 hours every week to remain in shape. She tracks how much time she does heart-stimulating exercise every week compared with her goal. The table shows the information throughout the previous five weeks.

The table is given below.

Week                                          1              2            3              4            5

Aerobics time (hours)              2.8          −2           1 ³/₄          0           −3

Then relative to Stacy's goal, her average aerobics time over the last five weeks will be given as

⇒ (2.8 − 2 + 1 ³/₄ + 0 − 3) / 5

⇒ (0.45) / 5

⇒ 0.09

Relative to Stacy's goal, her average aerobics time over the last five weeks will be 0.09.

More about the average rate change link is given below.

https://brainly.com/question/28744270

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Does anyone know how to do this problem?

Answers

Answer:

hs kgo s 7th duk6xutf2 ki kwai uh dragnet hi 2hn kd7uhsjsmsjsuuejejejjeejje

Step-by-step explanation:

hopes this helps hu dujdtrdd72 heckle Chiang Huskies heavier kir https://vm.tiktok.com/ZM8fbk1KS/ackrabbits granite Kazmirhttps://vm.tiktok.com/ZM8fbk1KS/

Help me please ASAP show work pls btw

Answers

Using distributive property
11(12w+5)

Graph a line with a slope of 1/3 and a y-intercept of 1

Answers

Answer:

is there a image?

Step-by-step explanation:

I need to do this on an graph as well please help.

Answers

Answer:

what

Step-by-step explanation:

PLS HELP! GIVING BRAINLIEST!
Given g(x)=2x+4, find: g(4)

PLS SHOW WORK !!

Answers

Answer:

12

Step-by-step explanation:

x=4

2×4+4

=12

I think this is the answer

BRAINLIEST
Determine whether the lines AB and CD would be parallel, perpendicular, or neither?
A(-5,3) and B(-5, 7)
What is the slope of AB?
C(1, 9) and D(-10, 9)
What is the slope of CD?
What are the lines? (parallel, perpendicular or neither)

Answers

Answer:

slope of AB = Y2 -Y1/X2 -X1

=7 - 3/-5-(-5)

=4/-5 +5 = 4/0

= undefined ( a number divided by 0 is undefined)

slope of CD =9 -9/-10-1

= 0/-11

= 0

since AB is not equal to CD

THE LINES ARE PERPENDICULAR

2+2=
I need to know the answer ​

Answers

Answer:

2+2=4

Step-by-step explanation:

if you put up 2 fingers and then add 2 more (2+2) you will get 4!

lol I hope that helped!

the answer is 4.
ll + ll = llll
count

Identify the domain and range for the continuous graph provided below. Select all that apply for both the domain and range. There are 4 correct choices.

1. x is greater than or equal to 0

2. x is greater than 0

3. 0 less than or equal to x which is less than or equal to 6

4. domain: [0, infinity)

5. domain:(0, infinity)

6. 0 is less than or equal to y which is less than or equal to 10

7. y is greater than or equal to 0

8. y is greater than 0

9. range: [0, infinity)

10. range: (0,infinity)​

Answers

The answer is 1, 2, 5, and 9

Substitution would be the best method for solving which system?
O x = 6
2x - 3y = 8
3x - 2y = 18
4x + 5y = 60
O x + y = 7
x - 4y = 12
O y = 2x
x + y = 28

Answers

Answer:

The last one

Step-by-step explanation:

Because it tells you what y is

Answer:

Assuming its asking which is the easiest one to use substitution its the last one: y= 2x : x + y = 28

Step-by-step explanation:

Because y and x are already one opposite sides you can substitute y in the 2nd equation with 2x. So you'll get 3x = 28 so x = 9.333333334. Then you plug your answer for x in the original equation to get y = 18.666666667

What is the GCF of 28x^4y^3z and 12x^3y^4z^2

Answers

Answer:   4x³y³z

Step-by-step explanation:

28x⁴y³z  = 4x³y³z (7x)

12x³y⁴z² = 4x³y³z (3yz)

3x - 5 < -14 or. 2x - 1 > 7 for x

Answers

Answer:

The answer is x = -1. Hope this could help

580,000 times 3000 - 4000 divided by 50
NO LINKS PLEASE!!!!!!!!!!!!
FIRST ONE TO ANSWER CORRECTLY GETS BRAINLIEST!!!

Answers

The answer is 34,799,920

Answer:

1739999200

Step-by-step explanation:

I am sorry, but I am simply not putting the explanation for that...

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