The police measured the skid marks made by a car that crashed into a tree. The formula used to approximate the distance in feet that it takes to stop a car after the brakes are applied for a car traveling at a rate of r miles per hour is d= 0.045 r^2 + 1.1 r . If the measurement gave a braking distance of 250 ft, was the driver exceeding the legal speed limit of 55 mi/h? Find the speed of the car before the brakes were applied.

Answers

Answer 1

Replace r in the equation with 55 mph and solve for d.

D = 0.045(55)^r + 1.1(55)

Simplify:

D = 0.045(3025) + 60.5

D = 136.125 + 60.5

D = 196.625

At the speed limit of 55 mph the skid mark would be 196.625 feet long.

Because the skid mark was greater than that it was going faster than 55 mph.

To find the speed the car was going replace d with 250 and solve for r:

250 = 0.045r^2 + 1.1r

Multiply both sides by 1000 to remove decimals:

250000 + 45r^2 + 1100r

Subtract 250000 from both sides

45r^2 + 1100 -250000 = 0

Use the quadratic formula to solve:

R = -1100 + sqrt(1100^2 14x45(-250000) /(2 x45)

R = 63.308 miles per hour

The speed of the car was 63.3 miles per hour


Related Questions

If you become a. . what Will you do

Answers

Answer:

if you becomes a.. what is this mean

Answer:

i have no idea

Step-by-step explanation:

i dont think turning into a virtual period will let me do anything. If you can clarify please let us know!

what are the adjectives in this sentence: the class cheered when Sonia had finished reading her funny poem.​

Answers

Finished and Funny because they’re the only descriptive words. (:

Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved.† Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetuated by the same criminals. The police are investigating nine property crime cases in this district.

Answers

Answer:

The appropriate answer is "11 crimes".

Step-by-step explanation:

Let,

The number of crimes be "n".

Now,

⇒ [tex]P(solved \ at \ least \ one) = 1-P(solved \ none \ of \ n)[/tex]

or,

⇒ [tex]1-(0.8)^n>0.9[/tex]

⇒       [tex](0.8)^n<0.1[/tex]

By taking log both sides, we get

⇒ [tex]n>=\frac{log(0.1)}{log(0.8)}[/tex]

By putting the values, we get

⇒ [tex]n>=10.31[/tex]

      [tex]n=11 \ crimes[/tex]

Which of the following value are in the domain of the function graphed below?

Answers

Answer:

look at the domain, where the line is on the x-axis

Step-by-step explanation:

m26 is (2x - 5) and m_8 is (x + 5)º
What is m 3?
12
9
3 4
56
78

Answers

Answer:

12

Step-by-step explanation:

12 is the coefficient

Y= abx that goes through points (0,13) and (2,325)

Answers

Answer:

[tex]y = 13(5)^x[/tex]

Step-by-step explanation:

We are given the following exponential function:

[tex]y = ab^x[/tex]

(0,13)

This means that when [tex]x = 0, y = 13[/tex]. So

[tex]y = ab^x[/tex]

[tex]13 = ab^0[/tex]

[tex]a = 13[/tex]

Then

[tex]y = 13b^x[/tex]

(2,325)

This means that when [tex]x = 2, y = 325[/tex] We use this to find b. So

[tex]y = 13b^x[/tex]

[tex]13b^2 = 325[/tex]

[tex]b^2 = \frac{325}{13}[/tex]

[tex]b^2 = 25[/tex]

[tex]b = 5[/tex]

Thus

[tex]y = 13(5)^x[/tex]

Use roster notation to name the set of all letters in the word ​"​more".
The set of all letters in the word ​"more​" is { }

Answers

9514 1404 393

Answer:

  {e, m, o, r}

Step-by-step explanation:

Perhaps most straightforward is the simple list in order of appearance.

  {m, o, r, e}

Often, we prefer rostered sets to be in lexicographical order:

  {e, m, o, r}

Helpppppppppppp pleaseeeeeeeeee

Answers

Answer:

it is b

Step-by-step explanation:

Answer:

B. [tex]x=24[/tex]

Step-by-step explanation:

We can start by isolating the square root by adding one to both sides:

[tex]-1+\sqrt{3x-8} =7\\\sqrt{3x-8}=8[/tex]

Now, we can square both sides and solve:

[tex]3x-8=64\\3x=72\\x=24[/tex]

Find the volume of a sphere with a surface area of 400 square feet.

Answers

Answer:

V≈752.25ft

Step-by-step explanation:

please mark me brain list

Answer: the volume of the sphere would be precicely be 752.25278

Step-by-step explanation: yeah, i guess this is just a run and search kind of question, the formula to find it was:

A=4πr2

V=4

3πr3

Solving forV

V=A3/2

6π=4003/2

6·π≈752.25278

PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!

PLS PROVIDE A STEP BY STEP EXPLANATION! ❤️

Answers

..........................................

In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.

Answers

Answer:

The correct answer is "0.3410, 0.4990".

Step-by-step explanation:

Given values are:

[tex]n=150[/tex]

[tex]p=\frac{63}{150}[/tex]

  [tex]=0.42[/tex]

At 95% confidence interval,

C = 95%

z = 1.96

As we know,

⇒ [tex]E=z\sqrt{\frac{p(1-p)}{n} }[/tex]

By substituting the values, we get

       [tex]=1.96\sqrt{\frac{0.42\times 0.58}{150} }[/tex]

       [tex]=1.96\sqrt{\frac{0.2436}{150} }[/tex]

       [tex]=0.0790[/tex]

hence,

The confidence interval will be:

= [tex]p \pm E[/tex]

= [tex]0.42 \pm 0.079[/tex]

= [tex](0.3410,0.4990)[/tex]

Pls help I really need help beg you you

Answers

The correct answer is (0, 5)

Answer:0,5

Step-by-step explanation:

Simplify the expression

Answers

Answer:

6

Step-by-step explanation:

3 sqrt(20) / sqrt(5)

We know that sqrt(a) /sqrt(b) = sqrt(a/b)

3 sqrt(20/5)

3 sqrt(4)

3 *2

6

what the person above me said

if 4 gallons of milk cost $11, how much would 7 gallons cost?

Answers

Answer:

$19.25

Step-by-step explanation:

11 ÷ 4 = $2.75  this is the cost per gallon of milk

2.75 * 7 = $19.25  this is the cost for 7 gallons of milk

Hope this helps

Answer:

$ 19.25

Step-by-step explanation:

 Milk(gallons)         Cost

        4                    11

        7                     x

  [tex]\frac{4}{7} = \frac{11}{x}\\\\4 \times x = 11 \times 7\\\\4x = 77\\\\x = \frac{77}{4} = \$ 19.25[/tex]

some 1 help me plz its algebra 1

Answers

5

Rise/run. When x is 0, y is 4. When x is 2, y is 14. Y changed by 10 and x changed by 2. 10/2=5

You measure 37 dogs' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 9.2 ounces. Based on this, construct a 90% confidence interval for the true population mean dog weight.Give your answers as decimals, to two places_______ ± ________ ounces (Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 ; Enter DNE for Does Not Exist, oo for Infinity)

Answers

Solution :

Given :

mean weight of the dogs, [tex]$\overline x$[/tex] = 69

Number of dogs, n = 37

Standard deviation, σ = 9.2

Confidence interval = 90%

At 90% confidence interval for the true population mean dog weight is given by :

[tex]$= \overline x \pm \frac{\sigma}{\sqrt n} \times z_{0.05}$[/tex]

[tex]$= 69\pm \frac{9.2}{\sqrt_{37}}} \times 1.64485$[/tex]

[tex]$=69 \pm 2.487799$[/tex]

= (66.5122, 71.4878)

Helppppo plsssssssssss I need helppp with thissss

Answers

Answer:

82 is what r equals

Step-by-step explanation:

So, lets go over what we know:

D equals rt, or r * t:

D=r*t

The table shows:

t=2 - d=164

t=3 - d=246

These are the only 2 values we need to look at.

We know that D= r*t, and we can just plug in the values found in the table for t and d to solve for r. So:

164= r * 2

Divide both sides by 2 to iscolate r:

82=r

So it seems like r is equal to 82, however this might be exponential or inaccurate, so lets double check witht the nexty values on the table:

246=r*3

Divide by 3 to iscolate the r:

82=r

So we know that r must equal 82.

Hope this helps!

Solve the simultaneous equations.
Show all your working.
3x + 4y = 14
5x+2y=21

Answers

Step-by-step explanation:

hear is your answer in attachment

Eighty percent of one store’s customers paid with credit cards. Forty customers came in that day. How many customers paid for their purchases with credit cards?

Answers

Answer:

32

Step-by-step explanation:

40 = 100%

how many are 80% ?

well, 80% = 80× 1%

1% = 100% / 100

so, in our case

80% = 80×40/100 = 8×4 = 32

as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.

in our case

80% = 40 × 80/100 = 32

Answer these questions about the right triangle.

What is the area of the square of the leg 6?

What is the area of the square of the leg 8?

What is the area of the hypotenuse square?

What is the length of the hypotenuse?

Answers

9514 1404 393

Answer:

366410010

Step-by-step explanation:

The area of a square is the square of the side length. Then the side length is the square root of the area.

6² = 36 . . . area of the square of leg 68² = 64 . . . area of the square of leg 836+64 = 100 . . . sum of the two leg squares = area of hypotenuse square√100 = 10 . . . hypotenuse length

How do you get total cost from price of $2.75 and qty demanded of 1250

Answers

Answer:

$3437.5

Step-by-step explanation:

Given data

Unit cost= $2.75

qty demanded= 1250

To get to the total, we have to multiply the quantity by the unity cost

=2.75*1250

=$3437.5

Hence the total cost is

$3437.5

Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
2) Phủ định hai phán đoán ở phần 1) (viết dưới dạng câu văn hoàn chỉnh).

Answers

Answer:

Step-by-step explanation:

Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines shown below, which one would be closest to the number of days overdue?

Answers

Answer: 21 days overdue

Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.

Answer:

22

Explanation:

 They are saying that it has to be the closest number to the number of days overdue, cannot be neither 10 nor 14, and it cannot be 18 because that's one day from the days it's been overdue, and the question is saying: Her fine was the same as the amount on the following day. The graph shows us that it is about 1 more day than 18, so the only reasonable answer here is 22.

Also, I got it correct on edg =)

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST

Answers

Answer:

height = (3x + 3)

Step-by-step explanation:

area of rectangular prism = length *breadth

2x^2 + 3x = length*breadth

volume of a rectangular prism = length * breadth *height

6x^3 + 13x^2 + 6x = (2x^2 + 3x) *height

x(6x^2 + 13x + 6) = x(2x + 3) *height

a nd x gets cancel . So,

(6x^2 + 13x + 6) = (2x + 3) *height

6x^2 + (9 + 4)x + 6 = (2x + 3) *height

6x^2 + 9x + 4x + 6 = (2x + 3) *height

3x(2x +3) +2(2x +3) = (2x + 3) *height

(3x + 2)(2x + 3) = (2x + 3)*height

(3x + 2)(2x + 3) / (2x + 3) = height

(2x + 3 ) of numerator and (2x + 3) of denominator gets cancel

(3x + 3) / 1 = height

(3x + 3) = height

The sum of two numbers is 12 The product of the smaller
umber and 3 is -6. Find
the numbers​

Answers

Answer:

-2 and 14

Step-by-step explanation:

-2×3=-6-2+14=12

The numbers are -2 and 14

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

given

Let smaller number be x and larger number be y

x * 3 = -6

x = -6/3 = -2

x+y = 12

-2 + y = 12

y = 12+2 = 14

to learn more about algebraic expression refer to:

https://brainly.com/question/4344214

#SPJ2

k+8
4) 3 =
3
Please help me

Answers

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

[tex]\mathsf{3 = \dfrac{k +8}{3}}[/tex]

[tex]\rightarrow\mathsf{\dfrac{k+8}{3}=3}[/tex]

[tex]\large\textsf{MULTIPLY by 3 to BOTH SIDES}[/tex]

[tex]\mathsf{3\times3=\dfrac{k+8}{3}\times3}[/tex]

[tex]\large\textsf{Work out the equation above to get to the next step}[/tex]

[tex]\large\textsf{We get: }\mathsf{k + 8 = 9}[/tex]

[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]

[tex]\mathsf{k +8-8=9-8}[/tex]

[tex]\large\textsf{CANCEL out: 8 - 8 because that gives you 0}\\\\\\\\\large\textsf{KEEP: 9 - 8 because that gives you the value of k.}[/tex]

[tex]\mathsf{k = 9 -8}[/tex]

[tex]\mathsf{9-8=\boxed{k}}[/tex]

[tex]\mathsf{9-8=\boxed{\large\textsf{\bf 1}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge k = \bf 1}}}\huge\checkmark[/tex]

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

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

The cost of K-12 education per student was $2200 in 1978 and increased to $10,300 in 2008. (Source: Department of Education). (a) Find a linear equation that models these data. Let C represent the cost per student and x represent the number of years after 1978.

Answers

Answer: [tex]C=270x+2200[/tex]

Step-by-step explanation:

Given

Cost per student in the year 1978 is $2200

The cost increases to $10,300 in 2008

Suppose [tex]C=mx+a[/tex] is the linear equation defining the cost per student after x years

Substitute the value for 1978

[tex]\Rightarrow 2200=m(0)+c\\\Rightarrow c=2200[/tex]

After 30 years it becomes

[tex]\Rightarrow 10,300=m(30)+2200\\\Rightarrow 30m=8100\\\Rightarrow m=270[/tex]

Thus, the linear equation becomes

[tex]\Rightarrow C=270x+2200[/tex]

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is placed back in the
bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter

Answers

Answer:  9/100

========================================================

Explanation:

There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)

The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.

We use the idea mentioned in the hint to multiply the fractions:

(3/10)*(3/10) = (3*3)/(10*10) = 9/100

The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.

Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.

Which equation represents a line that passes through (5, 1) and has a slope of ?
O y-5 = {(x-1)
Oy- } = 5(x –1)
Oy-1 = {(x–5)
Oy - 1 = 5(x-)

Answers

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

y = 5x - 25 + 1

y = 5x - 24 = mx + c

Is AABC-ADEP? If so, identify the similarity postulate or theorem that
applies.
B
16
105°
5-105
4
36
A
C
D
9
F
I

Answers

Answer:

D. cannot be determined

Step-by-step explanation:

that is kind of a trick question.

right based on the given information none of the 3 methods can be applied.

we don't have all 3 sides for SSS

we don't have 2 angles for AA

and we don't have 2 sides with their included angle for SAS.

but it can still be determined (they ARE similar), as this is a special case of SSA, where it is clear that the corresponding congruent angles are located at the same position relatively to the corresponding similar lines.

you can discuss this with your teacher, if you are interested.

AND - we can easily determine any of the other missing pieces (side and angles). these missing pieces then will correspond exactly to their counterparts in the other triangle (the 2 angles in ABC are equal to the 2 angles in DEF, the missing sides file the same scaling factor as the other known sides). and then any of the 3 methods can be applied.

so, this is actually tricky ...

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