The distance required to stop a car varies directly as the square of its speed.if 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96miles per hour​

Answers

Answer 1

Answer:

640 feet.

Step-by-step explanation:

Let d represent the distance required to stop and let s represent the speed of the car.

The distance required to stop varies directly as the square of its speed. In other words:

[tex]d=ks^2[/tex]

Where k is the constant of variation.

250 feet are required to stop a car traveling 60 miles per hour. Substitute:

[tex](250)=k(60)^2[/tex]

Simplify and solve for k:

[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]

So, our equation is:

[tex]\displaystyle d=\frac{5}{72}s^2[/tex]

Then the distance required to stop a car traveling 96 miles per hour will be:

[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]


Related Questions

20 men take 10 days to complete a piece of work. find the time taken by 8 men to complete the same piece of work

Answers

For the 8 men to finish the work it would take 16.76 days to finish the piece of work

consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.

Answers

Answer:

its A or C

Step-by-step explanation:

The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.

Answers

Step-by-step explanation:

everything can be found in the picture

jsfghsjgehgeujvnegeuge

Answers

Answer:

Option 2: 67.014

Step-by-step explanation:

help asap ---------------------------

Answers

Answer:

"D"

the start point is below zero and is doing deeper

Step-by-step explanation:

The height of a certain plant can be modeled by the formula h = 4 t + 5 where h is the height in millimeters and t is the time in days.

Answers

Answer:

The dependent variable is h and the independent variable is t

Step-by-step explanation:

Given

[tex]h(t) = 4t + 5[/tex]

Required

The dependent and the independent variable

The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.

In the above equation, the height (h) depends on time (t) for its value

Hence,

The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t

PLEASEEE HELPPPPPPP!!!!!!! question is above

Answers

AB=5

Step-by-step explanation:

x^2 - 10=3x

x^2 -3x -10=0

x^2 +2x-5x-10=0

x(x+2) -5(x+2) =0

(x-5) (x+2) =0

x-5=0. x+2=0

x=5. x=-2

The manned is a powerful force in a free market and 3 to 4 cents and fling some of the factors that cause changes in demand and why it is important for consumer standards and the changes

Answers

Answer:

The description as per the given question is provided below.

Step-by-step explanation:

Demand reflects a shareholder's intent to attract consumers as well as works as a gauge of such a buyer's ability to collect a particular preference for a particular commodity.

The factors that change the demand are as follows:

User needs as well as requirements.Changes affecting associated commodity prices.Peoples' political revenues.The general economy's proportion of participants.

Are the following triangles similar, Explain your answer​

Answers

Yes the have the same 78° angle . The smaller one should be able to fit inside the larger one.

7/9 × 27/5 whats the answer?​

Answers

Answer:

21/5 when simplified

Answer:

4  1/5

Step-by-step explanation:   6  20  5  58

7/9 × 27/5  =  (7×27) / (9 × 5)

                 =   189 / 45           divide numerator and denominator by 3

                 =    63 / 15            simplify

                 =     4 3/15

                 =     4  1/5

please help…………..i have more to ask

Answers

Answer:

YES

Step-by-step explanation:

Find each length using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

✔️Distance between A(-4, 2) and B(1, 4):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(-4, 2) = (x_1, y_1) [/tex]

[tex] B(1, 4) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} [/tex]

[tex] AB = \sqrt{(5)^2 + (2)^2} [/tex]

[tex] AB = \sqrt{25 + 4} [/tex]

[tex] AB = \sqrt{29} [/tex]

✔️Distance between C(2, -1) and D(4, 4):

[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] C(2, -1) = (x_1, y_1) [/tex]

[tex] D(4, 4) = (x_2, y_2) [/tex]

[tex] CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} [/tex]

[tex] CD = \sqrt{(2)^2 + (5)^2} [/tex]

[tex] CD = \sqrt{4 + 25} [/tex]

[tex] CD = \sqrt{29} [/tex]

AB = CD = √29

Therefore, they both have the same length.

what are the steps to this?

Answers

Answer:

Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation:

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Step-by-step explanation:

What is 2.3(x – 2) = 15

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2.3(x - 2) = 15}[/tex]

[tex]\mathsf{2.3(x) + 2.3(-2) = 15}[/tex]

[tex]\mathsf{2.3x - 4.6 = 15}[/tex]

[tex]\large\textsf{ADD 4.6 to BOTH SIDES}[/tex]

[tex]\mathsf{2.3x - 4.6 + 4.6 = 15 + 4.6}[/tex]

[tex]\large\textsf{CANCEL out: -4.6 + 4.6 because it gives the number 0}[/tex]

[tex]\large\textsf{KEEP: 15 + 4.6 because that helps solve find the x-value}[/tex]

[tex]\mathsf{15 + 4.6 = \boxed{\bf 19.6}}[/tex]

[tex]\large\textsf{NEW EQUATION: 2.3x = 19.6}[/tex]

[tex]\large\textsf{DIVIDE 2.3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2.3x}{2.3}=\dfrac{19.6}{2.3}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{2.3}{2.3}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{19.6}{2.3}}\large\textsf{ because that gives you the value of x}[/tex]

[tex]\mathsf{\dfrac{19.6}{2.3}= \boxed{\bf x}}[/tex]

[tex]\mathsf{\boxed{\bf x}=\dfrac{19.6}{2.3}}[/tex]

[tex]\boxed{\bf {x = 8.521739}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8.521739}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:) }[/tex]

Find f(3) given f(x) = -3x^3 + 2x^2 + 24
A. 123
B. -39
C. 69
D. 99

Answers

The correct answer is d

A bag contains 26 letters and 10 numerals. Robin draws two cards from the
bag. What is the probability that she draws 2 numerals?

Answers

Answer:

10C2 / (36C2)

Step-by-step explanation:

First card = 10/36
Second card= 9/35
Probability that both numerals= 10/36 x 9/35
= 1 / 14

There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?

Answers

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

EG is the angle bisector of

Answers

Answer:

the remaining angle will be 32

cz angle bisector cuts an angle in two equal parts hooe it may help u

Which is a valid conclusion that can be drawn from these statements?

If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.

A. Opposite angles of a rhombus are congruent.

B.Opposite angles of a quadrilateral are congruent.

C. Every parallelogram is a rhombus.

D. Every quadrilateral is a rhombus.

Answers

Answer:

A. Opposite angles of a rhombus are congruent.

Step-by-step explanation:

Question 7 of 10 Classify the following triangle. Check all that apply. 6 D A. Scalene D B. Right C. Obtuse D. Isosceles E. Acute F. Equilateral​

Answers

Answer:

Right angle triangle

Acute

Step-by-step explanation

1 right angle/90 degrees

2 acute angles

please helpppp its due nowwwww

Answers

Answer:

Step-by-step explanation:

instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.

Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

please complete the table.

Answers

Answer:

my answer in this picture.......

Jen's class 10 girls and 15 boys. The ratio of girls to boys in Ed's class is the same as the ratio of girls to boys in Jen's class. There are 24 boys in Ed's class. How many girls are in Ed's class?

Answers

Answer:

16

Step-by-step explanation:

Jen's class: 10 girls, 15 boys

ratio of girls to boys = 10:15 = 2:3 = 2x:3x

Ed's class

number of boys = 24

ratio of girls to boys = 2x:3x

3x = 24

x = 8

2x = 2(8) = 16

Answer: 16

Answer:

16

Step-by-step explanation:

X=
4
7
9
Does anyone know this please help quick !

Answers

Answer:

9

Step-by-step explanation:

Intersecting Chords Formula:

a • b = c • d

where a and b are the segments on one chord and c and d are the segments on the other chord

3*6 = 2*x

18 = 2x

Divide by 2

18/2 =2x/2

9 =x

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer: x= -7/8

Step-by-step explanation:

Hope it helps you

Consider the system of equations: Equation 1: -2x + 3y=9 Equation 2 : -8.1 – 7y = 10 Before adding the equations together, which would not result in the elimination of the variables in this system? Multiply the first equation by 8 and the second equation by 2. O Multiply the first equation by 7 and the second equation by 3. O Multiply the first equation by 4 and the second equation by -1. o Multiply the first equation by 14 and the second equation by 6.​

Answers

The first option :

Multiply the first equation by 8 and the second equation by 2

would not result in the elimination of the variables in this system

A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.

What length would the wire be for a similar 20 by 20cm sqaure

Answers

Answer:

840 cm

Step-by-step explanation:

Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.

Therefore wire required in 3 x 3 grid is

3(3+1) + 3(3+1)

= 3 × 4 + 3 × 4

= 24 I'm

Similarly, the length of the wire required in 20 by 20 grid will be

=> 20(20+1) + 20(20+1)

=> 20 × 21 + 20 × 21

=> 420 + 420

= 840cm

Create a linear system to model this situation. Then use substitution to solve the linear system to solve
the problem:
Bobbie has been saving dimes and quarters to buy a new toy. She has a total of 45 dimes and quarters,
with a value of $7.05. How many of each type of coin does Bobbie have?

Answers

Answer:

dimes --- x

quarters ---- 28-x

10x + 25(28-x) = 430

Step-by-step explanation:

not sure po

I need help with this plz

Answers

Answer:

[tex]x^{15}[/tex]

Step-by-step explanation:

Distribute the ^3 on top

(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])

distribute the ^ -9 on bottom, only to what is in the parenthesis

(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])

the 27's cross out, the [tex]y^{-9}[/tex] 's cross out

[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left

move the  [tex]x^{-9}[/tex] to the top of fraction to change its sign

[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]

help..................​

Answers

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

Please help me solve this

Answers

Answer:

5890 (none of the above)

Step-by-step explanation:

Answer:

1472.6 in³

Step-by-step explanation:

The volume (V) of the oblique cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )

Here r = 15 ÷ 2 = 7.5 and h = 25 , then

V = [tex]\frac{1}{3}[/tex] × π × 7.5² × 25

   = [tex]\frac{1}{3}[/tex] × π × 56.25 × 25

   = [tex]\frac{1}{3}[/tex] × π × 1406.25

   = [tex]\frac{1406.25\pi }{3}[/tex] ≈ 1472.6 in³ ( to the nearest tenth )

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