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

In his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.

Answers

There are 7 dimes and 9 quarters in his pocket.

Let the number of dimes be xLet the number of quarters be y

If there are 16coins in total, hence;

x + y = 16 ......................... 1

If hamid has $2. 95 in dimes and quarters, this is expressed as:

0.1x + 0.25y = 2.95 ............... 2

From equation 1

x = 16 - y ................. 3

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

Learn more on simultaneous equations here: https://brainly.com/question/16863577

Suppose you have 5 different colored shirts (grey, white, black, brown, and orange) and 4 kinds of pants (jeans, sweatpants, khakis, and plaid).
What is the probability on Monday you wear a grey shirt with jeans and put it in the laundry, then on Tuesday wear a black shirt with sweatpants?
OA)
OB)
OC)
OD
Done and Review
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INTL 0

Answers

Answer:

A

i will go with a. hope to help u

find the common difference of the arithmetic sequence 14,10,6,…

Answers

Answer:

Common difference = -4

Step-by-step explanation:

A grocery worker is checking for broken eggs in egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs. Based on these results, what can the worker predict about the rest of the cartons of eggs?

Answers

Answer:a grocery worker is checking in for broken eggs in a cartoons 12 x 4 c 9

Step-by-step explanation:

Express the following equation in slope intercept form: 8x-2y=10
PLEESSSSSSSSSSSSSE

Answers

Answer:

[tex]y2 - y1 \div x2 - x1[/tex]

Write the inequality that represents the solution set to the given inequality below.

|x−3|<15

Group of answer choices

12 x>−18


−12>x>18

Answers

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

) It took 2 pumps 6 hours to pump the water out of a pond. How long would it take if 3 pumps
were used?

Answers

Answer:

it would take 2 hours with 3 pumps

Step-by-step explanation:

hope this helps! :D

Can you Explain your thinking.

Answers

Answer:

Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.

Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?

Answers

Answer:

$150

Step-by-step explanation:

Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150

is associative prperty holds good under subtraction over integer​

Answers

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

I hope that helps you and please mark my answer as the brainliast answer.....it would be an honor......

Answer:

No, the associative property does not hold good for the subtraction of integers.

what is the answer for this question 7(x+4)-7=48-2x

Answers

Answer:

x = 3

Step-by-step explanation:

7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side

7x + 28 - 7 = 48 - 2x

7x + 21 = 48 - 2x ( add 2x to both sides )

9x + 21 = 48 ( subtract 21 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer: the answer is x=3

Step-by-step explanation:

step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x

step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x

step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48

step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x

step 5: 9x=27 now divide both sides by 9 so 27/9= 3

1. A roll of wire holds 3 meters of wire.
About how many inches of wire does
the roll hold ?

Answers

Answer:

Step-by-step explanation:

1 meter = 39.3701, by definition.

3 meters = 3*(39.3701)

3 meters of wire = 118 inches

Answer:

3 meters ≈ 118 inches

Step-by-step explanation:

1 meter = 3.28084 feet

1 foot = 12 inches

3 · 3.28084 =  9.84252

9.84252 · 12 = 118.11024

What is the product of (6.2*10^4) * (3.4*10^-2)? I got 2,108. am I right?

Answers

Answer:

yes you are right

Step-by-step explanation:

Answer:

Yes, you are right!

Step-by-step explanation:

I hope this helps!

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?

Original Equation
3x - 1 = 3

First Step 3x = 4​

Answers

Answer:

no property

Step-by-step explanation:

Name the property used: no property

Just a quick math problem that I forgot how to do.

Answers

Answer:

16

Step-by-step explanation:

If they are parallel then the 2 angles are congruent, so

8x + 14 = 12x - 50

64 = 4x

16 = x

Answer:

x = 16

Step-by-step explanation:

For the 2 lines to be parallel, then

12x - 50 and 8x + 14 would be corresponding angles and congruent , so

12x - 50 = 8x + 14 ( subtract 8x from both sides )

4x - 50 = 14 ( add 50 to both sides )

4x = 64 ( divide both sides by 4 )

x = 16

HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots

Answers

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]

Where, a = 1 ; b = -4 ; c = 4

Let's find it's discriminant.

We know

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]

If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.

As we got

Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.

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

Answers

Answer:

I do not know man but good luck

Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2

Answers

Answer:

x = 2, m = 3.75, a = 1.25

Step-by-step explanation:

Solve by comparing ratios of corresponding sides:

(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2

m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75

a/3 = 5/12a = 3*5/12a = 1.25

5/6+3/4+2/3 answer please

Answers

Answer:

2.25

Explanation

2/3 can be made into 4/6 then added to 5/6

Grab 5/6 and add it to 3/4, we do this by making them have the same bottom number (denominator) so we multiply 9/6 (4/6 + 5/6) by 2 (both top and bottom number) so now we have 18/12 + 4/6 so now we can make 4 be 12 by multiplying it by 3, but we need to do that to the top number as well to make it balanced, so now we have 18/12 + 9/12 and we get 27/12 or 2.25.

PLEASE HELP!!!
use the properties of exponents to determine the value of a for the question: 3 square root x over x 1/3 =x^a

Answers

Answer:

  a = 0

Step-by-step explanation:

The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...

  (x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0

Comparing that to x^a, we find a=0.

_____

The applicable rules of exponents are ...

  [tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}[/tex]

I do not understand

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf \dfrac{5 {}^{6} }{5 {}^{1} } [/tex]

[tex] \sf 5 {}^{6 - 1} [/tex]

[tex] \sf {5}^{5} [/tex]

pls help…………. …………………

Answers

Answer:

d

Step-by-step explanation:

smallest slope

ugh i'm sicker than a dog :(

Answers

Oh im sorry feel better :( Im here if you need someone to talk to

Answer:

Sorry to hear that. I hope you feel better!

Step-by-step explanation:

please help this is due tomorrow and im having a lot of trouble figuring these out

Answers

Ok done. Thank to me :>

It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!

Answers

The anwser is c your welcome

1 1/5+3 2/5 as a fraction

Answers

Answer:

23/54 3/5

Step-by-step explanation:

1 1/5 + 3 2/5=> 6/5 + 17/5=> 23/5

Conclusion:

Therefore, the answer is:

23/54 3/5

Hoped this helped.

[tex]GeniusUser[/tex]

The sum of the fraction [tex]1\frac{1}{5} and 3\frac{2}{5}[/tex] is 6/5 + 17/5 which is equal to [tex]4\frac{3}{5}[/tex].

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, are the sum of two fractions [tex]1\frac{1}{5} and 3\frac{2}{5}[/tex] which is,

= 6/5 + 17/5.

= (6 + 17)/5.

= 23/5.

= [tex]4\frac{3}{5}[/tex].

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2


Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0

Answers

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

what is the rate of the graph shown below answer and i will make you branilest

Answers

Answer:

2

Step-by-step explanation:

Basically I use rise over run, or rise ÷ run.

The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.

need help with question 4

Answers

Step-by-step explanation:

it's option D (x³)

hope this helps you.

Can anyone help me on this one? i cant identify the "A, B ,C".


"Given the following linear equations in two variables, identify the values of A,B, and C."

Answers

Step-by-step explanation:

The standard form of linear equation:

Ax + By + C = 0

Convert each equation into standard form:

#53x = 183x + 0y - 18 = 0A = 3, B = 0, C = - 18#6y/2 = - 50x + 1/2y + 5 = 0A = 0, B = 1/2, C = 5
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