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

Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was 347.50. How many hours did kaya rent the limo for?

Answers

Answer:

Kaya rented the limo for 5 hours and 30 minutes.

Step-by-step explanation:

Answer:

Kaya rented the limo for about 5 hours and 30 minutes.

       

                    Hope this helps! good luck :)

write an equation for the line that gose through the points (-2,6) and (2, 12)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line

helpp :(
Habib rides his bike to school. This describes his trip:

A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school

Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.

Answers

The only pattern that would make sense is A- option 3 (/), B- option 1 (-), C- option 3 again (/). Hope this helps!

Answer:

see

Step-by-step explanation:

what the avage of 87.25

Answers

Answer:

B+

3.3 GPA

Step-by-step explanation:

A brainly Would be greatly appreciate!!!

Answer:

87.25

Step-by-step explanation:

Solve for W.
A=6W
help timed

Answers

-6W=-A
6W=A
W=A/6 is the answer your looking for
Hope this helped!

Answer:

w = [tex]\frac{a}{6}[/tex]

Step-by-step explanation:

6w= a

----   ----

6      6

w = [tex]\frac{a}{6}[/tex]

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

how to do b. quick!!!

Answers

y=x is the answer, because it splits the 90 degrees down the middle, and the equation for a linear line that is at 45 degrees is y=x because there is no y-intercept and the slope is 1.

which expression is equivalent to the expression (2x+4)(x-6) pls i need it

Answers

Answer:

[tex]B.~2x^2-8x-24[/tex]

Step-by-step explanation:

FOIL the terms and then add like terms.

[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]

At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.

Write a system to represent the situation.

AND

Solve the system and interpret the answer.

Your Answer:

Answers

Answer:

[tex]x + y = 42,[/tex]

[tex]4x + 14y = 568,[/tex]

[tex]x = 2, y = 40[/tex]

Step-by-step explanation:

Learn the FULL explanation at: https://brainly.com/question/25629296

What is 0.02349 written in standard form to 3 significant figures

Answers

Solve from right to left

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

HELPE PLEASEEE Skjjjzjdjdjjsjsjdjdjdjd

Answers

.b- 15 = -12

b = 15 - 12

b = 3

. x - 5 = 7

x = 7 + 5

x = 12

. r + 6 = 11

r = 11 - 6

r = 5

. v/15 = 15

v = 15 × 15

v = 225

Answer:

3. b = 3

5. x = 12

7. r = 5

9. v = -225

Step-by-step explanation:

3. b - 15 = -12  

To get b by itself we have to add 15 to both sides.

b = 15-12

b = 3

5. x-5 = 7

To get x by itself we have to add 5 to both sides.

x = 5+7

x = 12

7. r + 6 = 11

To get r by itself we have to subtract 6 to both sides.

r = 11-6

r = 5

9. [tex]\frac{v}{15}[/tex] = -15

To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]

v = -15(15)

v = -225

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

1. Find the surface area of the pyramid to the nearest whole number.
12 m
6 m

Answers

Answer: 36m
step by step explanation below:

a 260$ suit is marked down by 30%. find the sale price

Answers

Answer:

182

Step-by-step explanation:

If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.

I hope this answer helped. Please let me know if I am incorrect. Thank you!

Regina went out for breakfast. The bill came to $7.20. If Regina has a discount coupon for 20%, how much will be taken off the bill?

Answers

Answer:

Step-by-step explanation:

the answer is 5.76$ , 20% is -1.44$

Which equation could have been used to create this table?


y = 3x


y = x + 3

y = x + 2


y = 4x

Answers

Answer:

y = 3x

Step-by-step explanation:

5 3/5 divide by 2 2/3

Answers

Answer 2 1/10

work is shown in the picture above. I hope this helps.

Write 51 as a product of primes​

Answers

Answer:

The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.

Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256

Answers

5-12 is the answer for 520 5-06

Hello!! :3

Please answer the question below.

-hello10olleh (hello)

Answers

Answer:

sequence B

Step-by-step explanation:

Answer:

IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb

HoPe ThIs HeLpS

How would this question be solved?

Answers

Answer:

it would be solved by it mom

one kilogram of cheese costs £9.48
chris buys 650 g of this cheese
work out how much chris pays

Answers

Answer: $6.16

Step-by-step explanation:

100g = $0.948

50g = $0.475

$0.948*6 = $5.688

$5.688 + $0.475 = $6.163

Rounded = $6.16

what is the value of 3.5(11+1.9(11)+1.6(11)?

Answers

Answer:

The answer is 77

What is the value of y? 2 R C A. 60° B. 120° C. 369 D. Cannot be determined​

Answers

Answer:

60 degrees

Step-by-step explanation:

edge

What number multiplied by 3/5 has a product of 1?​

Answers

Answer:

5/3

Step-by-step explanation:

let the number be x

3/5×[x] = 3x/5

3x/5=1

x=1÷3/5

x=5/3

5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)

Answers

Answer

A

Step-by-step explanation:

The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

What is an arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given series is -4, -1, 2, 5, 8. The common difference of the series is  calculated as,

d = -1 - ( -4 )

d = -1 + 4

d = 3

The equation will be written as,

an = a₁ + d(n - 1)

an = -4 + 3(n - 1)

Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

5/6 times 2/7 and simplified

Answers

Step-by-step explanation:

⅚ײ/7 = 5/21.

hope this helps you.

Answer: it 5/21

Step-by-step explanation:

this is how i got it

5/6×2/7=  

5 × 2/6 × 7= 10/42

= 10 ÷ 2/42 ÷ 2

= 5/21

Which statement is true about the slope of the line and what it means in this
situation?
The slope of the line is 1. This means that Jan runs 1 lap every minute.
The slope of the line is 2. This means that Jan runs 2 laps every minute.
I
The slope of the line is 2. This means that Jan runs 1 lap every 2 minutes.
The slope of the line is 4. This means that Jan runs 4 laps every minute.

Answers

Answer:

B. The slope of the line is 2. This means that Jan runs 2 laps every minute.

Step-by-step explanation:

This is a proportional relationship as the line passes through the origin.

Therefore you can use one point to determine the slope, (2, 4):

m = y/x = 4/2 = 2

The slope is 2. It is a 2 laps per minute.

Correct answer choice is B

(0,0)(2,4)

Slope

m=4-0/2-0m=4/2 m=2

Rate is 2 laps every minute

B

Solve the following inequality.
20 < 8

Answers

Answer:

x > 12/7

x > 1  5/7

Step-by-step explanation:

7x + 8 > 20

Subtract 8 from each side

7x+8-8 > 20-8

7x > 12

Divide each side by 7

7x/7 > 12/7

x > 12/7

Changing to a mixed number

x > 1 5/7

Simplify this please!!!! 100 points!!!!! ;)

Answers

Answer:6^21

Step-by-step explanation:

Answer: its B

Step-by-step you multiply 7 x 3 and you get 21

Write an equation in slope-intercept form of the line that passes through the given point
and the given slope.
(-2,-4); m = -3
O y=-3x - 6
O y=-3x - 10
O y=-3x + 10
O y=-3x + 2

Answers

Answer:

it's y=-3x-10

Factorise fully the following:
2x^2-8x
6x+9x^3
12x^3-4x^2

Answers

Step-by-step explanation:

1- 2x(x -4)

2- 3x(2-3x)

3- 4x²(3x-1)

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