The distance required for a car to stop is directly proportional to the
square of its velocity. If a car can stop in 112.5 meters at 15 kilometers
per hour, how many meters are needed to stop at 25 kilometers per hour?

Answers

Answer 1

Answer:

312.5 m

Step-by-step explanation:

let distance be d and velocity be v , then

d = kv² ← k is the constant of variation

To find k use the condition d = 112.5, v= 15

112.5 = k × 15² = 225k ( divide both sides by 225 )

0.5 = k

d = 0.5v² ← equation of variation

When v = 25 , then

d = 0.5 × 25² = 0.5 × 625 = 312.5 m


Related Questions

can someone help me answer this ​

Answers

[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]

Answer:

A

Step-by-step explanation:

8=3+2x/4+x

8/1= 3+2x/4+x then crisscross both sides without multiplying

8×(4+x)=3+2x

I hope it helped

On 11/23/21, Genius Sports (GENI) went from $9.90 to $10.40. On the same day, Ondas Holdings (ONDS) went from $7.90 to $8.50.

How much more % gain was ONDS compared to GENI to the nearest hundredths?

Answers

Answer:

GENI increased 5.1%

ONDS increased 6%

I am guessing it would be 1% increase

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.



1. How many band members are sixth graders?
band members

2. How many band members are seventh graders?
band members

3. What percentage of the band members are eighth graders?

Answers

Answer:

1=28 students 2=14students 3=40%

Step-by-step explanation:

1. 70 students = 100%

7 students = 10%

28 students = 40%

28 students are sixth graders!

2.70 students = 100%

7 students = 10%

14 students = 20%

14 students are seventh graders!

3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%

40% are eighth graders!

Solve for y.
y + 3 = 8y + 3
y =

Answers

[tex]y + 3 = 8y + 3[/tex]

Subtract both sides 3

[tex]y + 3 - 3 = 8y + 3 - 3[/tex]

[tex]y + 0= 8y + 0[/tex]

[tex]y = 8y[/tex]

Subtract both sides y

[tex]y - y = 8y - y[/tex]

[tex]0 = 7y[/tex]

Divide both sides by 7

[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]

[tex]y = 0[/tex]

There you go....

Ah

Have a great day ♡

pls help…………. …………………

Answers

Answer:

d

Step-by-step explanation:

smallest slope

5.
In Vietnam, the probability of rain is 70%. Find the
probability of it raining at most 2 days in a week.
a) .9712
b) 0.0250
c) .0287
d) .2988

Answers

Answer: the answer is C which is .0287

The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.

Let's use the binomial probability formula for this calculation:

The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)

p is the probability of success (rain in this case)

n is the number of trials (number of days in a week)

In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.

Now, let's calculate the probabilities for k = 0, 1, and 2:

Probability of raining 0 days in a week:

P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)

Probability of raining 1 day in a week:

P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)

Probability of raining 2 days in a week:

P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)

Now, add these probabilities together to get the probability of it raining at most 2 days in a week:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Calculate the values using the binomial coefficients:

C(7, 0) = 1

C(7, 1) = 7

C(7, 2) = 21

Now, calculate the probabilities:

P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187

P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775

P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215

Finally, add these probabilities together:

P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087

Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:

b) 0.0250

So, the correct answer is (b) 0.0250.

Learn more about probability from the link given below.

https://brainly.com/question/32117953

#SPJ2

what is 12x⁸/3x² in simplest form, where x>0?

Answers

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Arman weighs 35 kg. Rosie weighs 3 times as much. How many GRAMS does Rosie weigh?

Answers

Answer: 105k

Step-by-step explanation:

1. Multiply the number by three (35kg x 3)

2. Use your answer (105kg) and convert it to grams

3. GET YOUR ANSWER = 105k Grams

4. Therefore, Rosie weighs 105k grams

What is a if 5 to the power of a is 1/125

Answers

Answer:

its 84.987

Step-by-step explanation:

Trust me im smart :)

Simplify 3x + 5y + 2x – 4y

Answers

Answer:

5x + y

Step-by-step explanation:

3x + 5y + 2x – 4y=> 5x + y

Conclusion:

Therefore:

5x + y

Hoped this helped.

[tex]GeniusUser[/tex]

The simplified form of the given expression is 7x+y.

The given expression is 3x+5y+2x-4y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Group the like terms and simplify, we get

(3x+2x)+(5y-4y)

= 7x+y

Therefore, the simplified form of the given expression is 7x+y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ4

What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2

Answers

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

The ratio of the interior angle measures of a triangle is 1:4:5 what are the angle measures?

Answers

Answer:

18° , 72° , & 90°

Step-by-step explanation:

First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°

The equation will be:

1x + 4x + 5x = 180°

10x = 180°

divide both sides by 10 to get 1x on the left side:

[tex]\frac{10x}{10} =\frac{180}{10}[/tex]

x = 18

Then plug 18 in, instead of 'x', similar to in the first step:

1(18) = 18°

4(18) = 72°

5(18) = 90°

show work! my teacher told me this was wrong, what's the correct answer?​

Answers

Answer:

it is Ahmed shoevked more your calculations are wrong

Please help meee :( Just an answer

Answers

Answer:

p plus 6

Step-by-step explanation:

PLEASE HELP IM REALLY BEHIND AND I CANT MESS THIS UP

Answers

Answer:

13, 9, 5, 1

Step-by-step explanation:

y = -2(-2) + 9

y = 4 + 9

y = 13

y = -2(0) + 9

y = 0 + 9

y = 9

y = -2(2) + 9

y = -4 + 9

y = 5

y = -2(4) + 9

y = -8 + 9

y = 1

leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces

Answers

Step-by-step explanation:

we need to find how much 14/70 is equal to ? over 100

100/70=1.42857142857

14x1.42857142857=20

Therefore she drinks 20/100 she drinks before she goes on a ride.

or 20%

it's 20

I got it right on iready

If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits

Answers

The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.

The percentage of employee benefits to total gross pay for each worker has to be determined.

Percentage = (total job benefits / gross pay) x 100

Emily: (33,600 / 32,600) x 100 = 103.07%

Jack: (34,700 / 33,700) x 100 = 102.97%

Judy: (33,900 / 33,400) x 100 = 101.5%

Marcel: (34,000 / 32,900) x 100 = 103.43%

A similar question was answered here: https://brainly.com/question/25764815

Please find attached a complete question

FIND THE MISSING VALUES

Answers

Answer:

i think x = 17

Step-by-step explanation:

(2x-4)+(3x+20)+(5x-6) = 180°

10x+10 = 180

10x = 180-10

10x = 170

x = 170/10

x = 17

Java 1
Question 16
Examine the following code:

int count = 0;
while ( count <= 6 )
{
System.out.print( count + " " );
count = count + 3;
}
System.out.println( );

What does this code print on the monitor?

a. 1 2 3 4 5 6
b. 0 1 2 3 4 5 6
c. 0 3 6
d. 0 1 2 3 4 5
e. 0 3

Answers

Answer:

the answer is c.036

Step-by-step explanation:

it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well

Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.

Answers

The correct equivalent function can be found by using exponent rule.

The correct option is [tex]f(x)=3(8.35^x)[/tex].

Given:

The given expression is as follows,

[tex]f(x)=3(1.7)^{4x}[/tex]

Write the exponent rule.

[tex]a^{mn}=(a^m)^n[/tex]

To simplify the given expression apply the exponent rule.

[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]

Using calculator find the value of [tex]1.7^4[/tex].

[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]

Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].

Learn more about exponent rule here:

https://brainly.com/question/2254060

Use the function below to find f(-2)
F(x)=3x

Answers

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B

PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE

Answers

Step-by-step explanation:

Please forgive me if I'm wrong but I would choose A, B, and E.

Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.

If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.​

Answers

Here is the remainder for both. No the remainders are not equal.

Missing Work Help!!!

I have a bunch of missing work.
What are some strategies to help stay calm and even out the work?

I would really appreciate the help :)

Answers

Answer:

Take Action: Take Time to Plan. ...

Take a Break: Get Out of the Office. ...

Take Action: Talk it Out with a Colleague. ...

Take a Break: Get a Full Night's Sleep. ...

Take Action: Work on the Weekends.

Answer:

If your due dates are at least by the end of the week, I recommend doing straight work for 30 minutes, then rewarding yourself. Repeat this for as long as you want but don't do so much that you weren't able to do anything socially for the whole day. If your due dates are already passed or if they are coming up really soon, I recommend putting on whatever music you like to listen to, but nothing to upbeat. Put on some calm music with a rain sound effects video in the background, and just keep working until you kind of dose off from reality and just get in the zone. A long answer, but it really helps.

Forgot to mention; if you ever get stressed out, either do something else to calm down, or use that stress to your advantage and do a ton of work because of it.

please help mwah

ty :)

Answers

Answer:

y-9 = -4(x+2)

Step-by-step explanation:

-

Hope that helps

please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with tthis, and also if it's Substitution or linear combination.​

Answers

Answer:

  (x, y) = (6, 8) using linear combination

Step-by-step explanation:

The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.

Adding the two equations together gives ...

  (2x -y) +(-2x +3y) = (4) +(12)

  2y = 16 . . . . . . . . simplify

  y = 8 . . . . . . . divide by 2

Substituting for y in the first equation gives ...

  2x -8 = 4

  x -4 = 2 . . . . . divide by 2

  x = 6 . . . . . . . add  4

The solution is (x, y) = (6, 8).

Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?

I really need help with this!

Answers

Answer:

the second bottle

Step-by-step explanation:

To get the amount it costs per ounce, divide the amount of money by the number of ounces.

A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.

therefore, the 16 ounce bottle is cheaper per ounce

Which lines of A, B, and C are perpendicular?

Answers

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

Please help me asap

tyyyyyyy :D

Answers

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?

Answers

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of people using the facilities are

73 people use the gym.

73 people use the swimming pool.

67 people use the track.

36 people use the gym and the pool.

35 people use the pool and the track.

32 people use the gym and the track.

14 people use all three facilities.

The total people using two facilities is = (36+32+35 ) = 103

Total number of people is 135

The probability that a randomly selected person uses at least two facilities is 103/135.

The probability that the selected people uses all the three facilities is 14/103.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Other Questions
What evidence does the author use to support the idea that urban environments are becoming greener? The area of a circle is 2square meters. Determinethe radius. which sentence is it :) In 1908, my great-grandmother first arrived in this country. She had very few possessions or money. Then she found a friend living in a small apartment with a few other women. They lived together while my great-grandmother found a job. The next year, she met my great-grandfather. They fell in love and were married within a matter of months. After that, they paid to rent out a small apartment. They worked hard and saved money. Finally, they had enough to open up their own business. A. description B. cause and effect C. chronological order D. compare and contrast E. problem and solution 8. How does the butterfly that Eckels steps on contribute to the theme ofthe short story? Danny buys,1 loaf of bread for 1.201 bottle of milk for 70p2 packets of cheese for 2.30 each packetDanny pays with a 10 note.He says,I should get 3.30 change.Is Danny correct?You must show how you get your answer. Using your knowledge of homonyms,identify the classic Christmas storythat includes a different kind ofpresent. Tawny breaks apart 9 to solve 9 X 5. Show one wayTawny can do this. Then solve the problem. PLEASE HELP ME I WILL GIVE A BRAINLIST Can I get a simple answer Choose the inequality that correctly represents the following sentence:6 less than a number is at most 9. Gary weighed 187 pounds after graduatinghigh school. 5 years later he weighs 228pounds. By what percentage has his weightchanged?Plz helppppppp A provisional license holder under 18 may not drive without special permission _____________________ .A between 8:00 a.m. and 9:00 pmB between 12:00 am and 5:00 amC between 5:01 am and 11:59 pmD between 6:00 a.m. and 6:00 pm Rama de la biologa que estudia la estructura de los organismos the 1920s witnessed racial tension unrest and race riots across american cities. how was this social climate of the 1920s reflected in florida history during this time? A particle moves along the curve y = 4x2 + 1 in such a way that the x value is increasing at the rate of 2 units per second. At what rate is y changing when x = 1?. Point Q is plotted on the coordinate grid. Point P is at (20, 30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?"On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30."/>On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30. Point R is at (40, 30), a distance of 60 units from point Q Point R is at (40, 10), a distance of 20 units from point Q Point R is at (40, 30), a distance of 60 units from point Q Point R is at (40, 10), a distance of 20 units from point Q please helpTwo masses m1 and m2, are a distance R apart and mq exerts a gravitational force F on m2. What is the gravitational force is the gravitational force on M1? According to Labor Value Theory, diamonds are more valuable than water because...Group of answer choicesthey are more common.they are more difficult and require more resources to bring them to market.a diamonds first use is more essential than the first use of water.they last longer and can be used over and over again. Which individual has had the greatest influence in our understanding of the way people confront death