The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft

Answers

Answer 1

Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].

Given:

The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:

[tex]d=0.04v^2+1.1v[/tex]

To find:

The stopping distance for a velocity of 10 miles per hour.

Solution:

We have,

[tex]d=0.04v^2+1.1v[/tex]

where, d is stopping distance and v is velocity.

Substitute v=10  in the given equation to find the stopping distance for a velocity of 10 miles per hour.

[tex]d=0.04(10)^2+1.1(10)[/tex]

[tex]d=0.04(100)+11[/tex]

[tex]d=4+11[/tex]

[tex]d=15[/tex]

So, the stopping distance for a velocity of 10 miles per hour is 15 ft.

Therefore, the correct option is c.


Related Questions

Evaluate 7 – (-1). ​

Answers

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

what are the y-intercept and the slope of the line represented in the graph? (i will give most brainly to whoever answers)

Answers

Answer:

Y is 4 and slope is 2

Step-by-step explanation:

the red line hits 4 and the sope is the other number that the red line hits which is 2

What is the answer? I can not figure it out at all I’ve been lookin forever now plz help!

Answers

Answer:280

Step-by-step explanation:

use formula:a+b/2+h  a=base b=base h=height

A circle divided into 4 parts. 2 parts are shaded.
Which fraction is equivalent to One-half? Use the diagram to help answer the question.

One-fourth
Two-fourths
Three-fourths
Four-fourths

Answers

it would have to be two-fourths

A circle is divided into 4 parts out of which 2 parts are shaded. The diagram is attached for a better understanding. The fraction equivalent to 'Half' is 'Two-fourths'.

A fraction is part of the whole. It consists of two parts, that are:

1. Numerator: The number at the top of a fraction is called Numerator.

2. Denominator: The number at the bottom of a fraction is called Denominator.

The 'Half' is written in the number system as [tex]\dfrac{1}{2}[/tex].

Let's multiply the numerator and denominator by 2,

[tex]\dfrac{1}{2}= \dfrac{1 \times 2}{2 \times 2} = \dfrac{2}{4}[/tex]

Hence, the factor 'Two-fourths' is equivalent to 'Half'.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?

Answers

Answer:

13 favors

Step-by-step explanation:

Roll of ribbon = 4 1/3 feet long.

favor = 1/3 feet of ribbon

How many favors can she make?

Number of favors = Total roll of ribbon / length of each favors

= 4 1/3 feet ÷ 1/3 feet

= 13 / 3 × 3 / 1

= (13 × 3) / (3 × 1)

= 39 / 3

= 13

Number of favors = 13

Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet

Divide and reduce: 2 1/4 divided by 1 2/3

Answers

Answer:

63/48

Step-by-step explanation:

21/4÷12/3

21/4×3/12

63/48.

So the final answer is 63/48

Answer:

1/35

Step-by-step explanation:

Tavares is saving for a $350 cell phone.He already has $60 and plans to save an additional $20 per week?How many weeks will Tavares have to save before he can buy the cell phone ?

Answers

Answer:

15 weeks

Step-by-step explanation:

15 times 20 = 300

300+60=360

15 Weeks

Step-by-step explanation:

You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks

Is this sequence arithmetic, geometric, or neither? 45, 50, 65, 70, 85, ...

neither


geometric


arithmetic ​

Answers

Answer:

Sequence of arithmetic

Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)

Answers

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer:  (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

solve for x if 2(5x + 2)^2 = 48

Answers

Answer:

(c) is the Correct answer of this

Step-by-step explanation:

First divide both sides by 2

then apply (a+b)^2 = a^2+b^2+2ab formula

solve quadratic equation

then apply discriminant formula

Hope you get it dear ☺️

C is correct I’ve done this one before

How many of y'all are in virtual school and using this app for help​

Answers

Answer:

thx

Step-by-step explanation:

really needed them and merry christmas

please help me this is for algebra 1 the correct answer ill give brainly!

Answers

Answer:

1/2x is m and 3 is b

Step-by-step explanation:

y= 1/2x +3

The formula would be MX+B.

so the slope which is m would be 1/2

and the +3 part would be the y intercept

because it's in the slope intercept form

You got an A on 6 of your last 8 quizzes in Algebra 2. What is the experimental probability that you will get an A on your next quiz? (Simplify the fraction).

Answers

Its 6/8= 2/3 maybe
Not so sure

For f(x) = -x + 8, which statement is true?

Answers

The answer is B I took the test

So...I'm stuck on this. HELP

Answers

Answers:

Yes the data can be modeled with a linear equation.

Processing fee = 42 dollars; Daily fee = 102 dollars

Max number of days you can rent house = 11 days

========================================================

Explanation:

Part 1

Let

x = number of days

y = total cost in dollars

Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.

--------------------

Part 2

The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.

You could also use the slope formula with say the first two columns of the table

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

m = (450-246)/(4-2)

m = 204/2

m = 102

This confirms the daily fee is $102.

You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.

Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.

--------------------

Part 3.

Plug in y = 1200 and solve for x

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.3529411764706

x = 11

We round down to the nearest whole number. This way we clear the hurdle.

Note that if x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget

In contrast, plugging in x = 12 leads to

y = 102x+42

y = 102*12+42

y = 1266

which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.

0.75h + 3 = 12
What's the answer?

Answers

Answer:

h = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.75h + 3 = 12

Step 2: Solve for h

Subtract 3 on both sides:                    0.75h = 9Divide 0.75 on both sides:                  h = 12

Step 3: Check

Plug in h into the original equation to verify it's a solution.

Substitute in h:                    0.75(12) + 3 = 12Multiply:                               9 + 3 = 12Add:                                     12 = 12

Here we see that 12 does indeed equal 12.

∴ h = 12 is a solution of the equation.

Answer:

h = 12

Step-by-step explanation:

Given

0.75h + 3 = 12 ( subtract 3 from both sides )

0.75h = 9 ( isolate h by dividing both sides by 0.75 )

h = 12

solve: [S=$75+$150m]​

Answers

Answer:

Step-by-step explanation:

$ = $75 + $150m

$ = $75 = $150,000,000  ($150m is equal to $150 million)

$ = $150,000,075 (adding $150,000,000 and $75)

What is the slope of the line that passes through the points (10,-6) and (8, -16)?
Write your answer in simplest form.

Answers

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

What is the solution of |y+2|=6

Answers

the “||” usually represent absolute value. so assuming they do here the equation would be y+2=6, the next step is to combine like terms and subtract 2. You should end up with y=4. (If you are looking for both possibilities) you would also have to do the negative since there is a variable, so y+2=-6 and you would end up with y=-8 [answers: y=4 or y=-8]
Answer :-

|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

Values of y = 4, -8

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?

Answers

Answer:

the answer is x ^ 272

Step-by-step explanation:

subtract

Answer:

its B

Step-by-step explanation:

I got 100 on the quiz

Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?

Answers

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

[tex]1\ pound = 4\ people[/tex]

[tex]x = 14\ people[/tex]

Cross Multiply

[tex]x * 4 = 1 * 14[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]

Hence, 3.5 pounds for 14 people

I need help pls!

A statue is 7 feet tall. How many inches tall is the statue? 1. foot = 12 inches
2
A. 62.5 inches
B.90 inches
C 75 inches
D.45 inches

Answers

Answer:

Step-by-step explanation:

7 feet   1 foot is 12 inches

7*12= 84 inches.

None of the choices are correct.

90 inches is 7.5 feet

62.5 inches is 5.2 feet

75 inches is 6.25 feet

anyone know the answers for either one?

Answers

Answer:

nah

Step-by-step explanation:

but search up a tutorial that helps me

I’m not sure I am so sorryyyyyyyyyyyyyy

PLEASE HELP!!! THANK YOU!!!

Answers

Answer:

1st attachment :-

counters left = 160

fraction of counters left = 160/400

=2/5

2nd attachment :-

a) how much cheaper = 13 ×(35.43 -15.37)

= 260.78

b) B.underestimate

Answer:

260.78

Step-by-step explanation:

does anyone know this.
i will give brainliest

Answers

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.

whats pi the math number

Answers

Answer:

3.14 as the shortened version. The long version goes on forever, but I'll write some more. 3.14159265358979323846

Step-by-step explanation:

Statements

Reasons

1. ZABC is rt. 2

1. A

Identify the missing parts in the proof.

Given: ZABC is a right angle.

DB bisects ABC.

Prove:mZCBD = 45°

2. DB bisects ABC

2. given

3. def. of rt. 2

3. B

A:

4. m ABD = mZCBD

4. def. of bis.

B:

C:

D:

5.C

5. M_ABD + m2CBD = 90°

6. m2CBD + m2CBD = 90°

7. D

6. subs. prop.

7. add.

8. div. prop.

8. mZCBD = 45°

Answers

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

[tex]CBD = ABD[/tex]

and

[tex]CBD + ABD = 90[/tex]

Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]

[tex]CBD + CBD = 90[/tex]

[tex]2CBD = 90[/tex]

Divide both sides by 2

[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]

[tex]CBD = \frac{90}{2}[/tex]

[tex]CBD = 45[/tex]

Hence, it is proved that [tex]CBD = 45[/tex]

Follow the above explanation and use it to answer your question properly

A music teacher arranged 304 chairs in a rows for a concert. She puts 16 chairs in each row. How many rows of chairs did she arrange? A) 20 B) 16 C) 22 D) 19

Answers

Answer:

19 rows.

Step-by-step explanation:

304/16

=19.

Hope this helped!

d) 19
you divide 304 by 16

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

Answers

Answer:

y=2x + 5 I think it should be

solve this one pleeaasssee

Answers

Answer:

the answer is c

Step-by-step explanation:

when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.

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