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.

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

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]

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]

Answer:

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

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]

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

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

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

Step-by-step explanation:

hear is your answer in attachment

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)

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]

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 =)

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]

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]

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

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 ...

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}

Answer:0,5

Step-by-step explanation:

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!

[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]

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

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.

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!

Answer:

-2 and 14

Step-by-step explanation:

The numbers are -2 and 14

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

9514 1404 393

Answer:

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.

Answer:

12

Step-by-step explanation:

12 is the coefficient