20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an​ accident, police can use the formula v=25L to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answers

Answer 1

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.


Related Questions

(7q - 6) (4q - 5) = 0

Answers

Answer:

q=30/31

To find:

q

Step-by-step explanation:

(7q - 6) (4q - 5) = 0

7q(4q - 5) + -6(4q - 5) = 0

7q × 4q - 7q × 5 - 6 × 4q + 6 × 5 = 0

28q - 35q - 24q + 30 = 0

28q - 59q + 30 = 0

-31q + 30 = 0

-31q = -30

q = -30/-31

q = 30/31

hope you understood:))

triangle ABC has vertices at A (-12,-8) B (10,-6) and C (6,14. What is the midpoint of side AC of the triangle?

Answers

Step-by-step explanation:

midpoint of AC=(x¹+x²/2,y¹+y²/2)

=(-12+6/2,-8+14/2)

=(-6/2, 6/2)

=(-3,3)

What is:
5+5(5-5•5)-5 = ?

Answers

Answer:

-100

Step-by-step explanation:

5 + 5 (5 - 5 • 5) - 5 = ?

= 10 (5 - 25) - 5
= 10 (-20) - 5
= (-2000) - 5
= -2005

URGENT HELP YALL WITH THIS. I WILL MARK YOU BRAINLIEST

Answers

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[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]

[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]

[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]

Collect like terms

[tex]25x + 35 = 360[/tex]

Subtract sides 35

[tex]25x + 35 - 35 = 360 - 35[/tex]

[tex]25x = 325[/tex]

Divide sides by 25

[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]

[tex]x = 13[/tex]

Thus ;

[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]

[tex]RQ \: \: arc = 10x + 30[/tex]

[tex]RQ \: \: arc = 10(13) + 30[/tex]

[tex]RQ \: \: arc = 130 + 30[/tex]

[tex]RQ \: \: arc = 160°[/tex]

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What is the rate of change of y with respect to x for 9x - 11y + 2 = 0?
a. 9/11
b.2/11
c.11/9
d.2/9​

Answers

it would probably be 9/11

Answer:

The answer is A: 9/11

plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?

What is the y-intercept of the trend line?

Y=___X +___

Answers

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

Hellppp!!! I need help with the problem that the pencil is pointing ay

Answers

Answer:

8/3

Step-by-step explanation:

[tex](-2)^{3}[/tex]÷(-3)

Remember the order of operations,

1. parenthesis

2.exponenets

3. multiplication/ division

4. addition/ subtraction

[tex](-2)^{3}[/tex]÷(-3)

= -8 / -3

= 8/3

Your answer is: 8

I tried tons of different solutions to this problem, and all of them come up with the answer I said. Hope this helps!;)

EASY QUESTION
You are making gift bags for a school party. You have 48 pencils, 80 markers, and 64 stickers. Each gift bag will have the same number of each item. You want to use all of the items.
What is the greatest number of gift bags you can make?

Answers

Answer:

i think it is 48 because  each gift bag will have the same number of each item,

so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the greatest common factor of 48,80 and 64 is 16

Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.

Answers

Answer:8 gumballs 3 jaw breakers

Step-by-step explanation:

Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3

Given the Parameters :

Gumball cost, g = $0.50Jawbreaker cost, j = $0.30Maxumum amount to spend = $3.00

(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) maximum cost

0.50g + 0.30j ≤ 3

Hence, the required inequality expression is 0.50g + 0.30j ≤ 3

Learn more : https://brainly.com/question/13976112

what is the probability that Sophie draws a heart and then rolls either a 4 or 6

Answers

Answer:

Step-by-step explanation:

1/12

Fast question please help

Uri wants to buy a sweatshirt that costs $16.00. If the tax is 8%, about how much will Uri need to buy the sweatshirt?
O A) $14.72
OB) $16.08
O C) $17.28
OD) $29.30

Answers

Answer:

$16.00 * (100% + 8%) =  $17.28

How do I solve this problem and check all the solutions?

Answers

Answer:

x-5=sqrt(2x+5)

then square both sides

x2-10x+25=2x+5

x2-8x+20=0

rest is trivial

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given

x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )

- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )

[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )

2x + 5 = (x - 5)²

2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )

0 = x² - 12x + 20 ← in standard form

0 = (x - 2)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 2

2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5

Thus x = 2 is an extraneous solution

x = 10

10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side

Thus x = 10 is the solution

the base salary of an employee and a 2% salary increase

Answers

I'm assuming the base salary of this employee is $25.00

25.00+2%

Convert the percent into a decimal.

0.02

Now multiply.

25.00x0.02=0.5

Now add to the base salary.

25.00+0.50=$25.50

The 2% increase was $0.50

The total is $25.50

nya

Find the value of x?
A.5/2\2

B.5
C.10
D.10/2

Answers

Answer: should be D
I think so

The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.


The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.

At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise

The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?

Answers

Answer:

The new temperature is 13 degrees Fahrenheit

Step-by-step explanation:

What is the domain and range please? Also is it a function?

Answers

Answer:

Once again, both are infinite. It is a function.

Step-by-step explanation:

Find X please

36/x=8/7

Answers

Answer:

i think x=31.5

Step-by-step explanation:

the answer is x = 31.5

I need help with my homework

Answers

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

m of arc RQ = 10x + 30

The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

The measure of the arc RQ is 160°

State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.

Answers

Answer:

[tex]\boxed {\boxed {\sf Yes}}[/tex]

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

Which is the graph of the function f(x) = 1/2x2+2x-6?

Answers

Answer:

This is how the graph would look like

Step-by-step explanation:

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.

What is plotting of graph of a function?

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.

When x = 0, y = -6

Coordinate = (0, -6)

When y = 0,   [tex]0.5x^{2} + 2x - 6 = 0[/tex]

[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]

Coordinates = (2,0), (-6,0)

Abscissa of vertex of graph = -b/2a = -2

Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8

coordinate = (-2, -8)

Learn more about plotting graph of a function here

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Please help! It’s already late! Help asap!

Answers

Answer:

D

Step-by-step explanation:

what is the shortest possible distance between the houses

Answers

Answer:

A.) 8.5 miles

Step-by-step explanation:

I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.

Hope this helped.

The shortest distance between the two houses is 13 miles.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.

Given, The base is 12 miles and the height is 5 miles.

Therefore by Pythagoras' theorem,

Hypotenuse = √(5² + 12²).

Hypotenuse = √(25 + 144).

Hypotenuse = √(169).

Hypotenuse = 13 miles.

So, The shortest distance between the houses is 13 miles.

learn more about Pythagoras' theorem here :

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Five years ago, John's age was half of the age he will be in 8 years. How old is he now?

Answers

J-5=0.5J+8
J=0.5J+13
0.5J=13
J=26

The answer would be John is 18 years old

Solve the equation that represents: The difference of five times a number and 6 is -2. ​

Answers

Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes

Answers

Answer:

Step-by-step explanation:

an hour, or 60 minutes

Answer:

60 minutes

Step-by-step explanation:

i d 1 0 t

Help me plzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

you can't get the answer if you don't know x

A local grocery store makes a 6-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $3 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $11.50. Write a system of equations for the situation and solve for the amount of each item in the trail mix.

Answers

Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

it looks to be the second answer

Step-by-step explanation:

Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.

Hi please answer urgently

Answers

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work

Answers

Answer:

n = -2

Step-by-step explanation:

-38 = -2n -12 +18n +6

-38 =16n -6

-38 +6 =16n

-32= 16n

n=-2

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