The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the formula:

(see image)

Where w = weight of the car

p = power delivered by the engine in horsepower (hp)

If the quarter-mile time for a 3,590-pound car is 13.4 s, how much power does its engine deliver? Round to the nearest pound.

Assignment:

Natasha and Daniel worked out this problem. Natasha’s answer was 295 hp and Daniel’s was 679 hp.

1. Who was right?
2. How did you determine who was right? Show each step of how each of them solved the problem.
3. Set up your Fantasy Race. Research two different cars/trucks. What is the average hp and weight of each? Based on the formula, how fast can each reach a quarter-mile? Show all the work for each.

Answer:

x=11

Step-by-step explanation:

Hope that helps!

It is x= 11 I hope this helps!

Answer: B

Step-by-step explanation:

For a relation to be a function, each input value can only have one corresponding output.

Answer:

A) The initial value

Using the Fundamental Counting Theorem, it is found that there is a 0.2 = 20% probability of choosing a random number that starts with 9 from this group.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that:

Then, the total number is:

N = 5 x 4 x 8 x 7 x 6 x 5 = 33600.

Starting with 9, we have that:

Then:

N9 = 1 x 4 x 8 x 7 x 6 x 5 = 6720.

A probability is given by the number of desired outcomes divided by the number of total outcomes, hence:

p = N9/N = 6720/33600 = 0.2.

0.2 = 20% probability of choosing a random number that starts with 9 from this group.

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The standard deviation for this set of population data is 6.9. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The number of cars sold at a dealership over several weeks is given below.

14, 23, 31, 29, 33.

Then the mean will be

[tex]\mu = \dfrac{14+23+31+29+33}{5}\\\\\\\mu = \dfrac{130}{5}\\\\\\\mu = 26[/tex]

Then the standard deviation is given as

[tex]\sigma = \sqrt {\dfrac{\Sigma _{i=1}^n(x_i - \mu)^2}{n}}\\\\\\\sigma = \sqrt{\dfrac{(14-26)^2+ (23-26)^2+ (31-26)^2+ (29-26)^2+ (33-26)^2}{5}}\\\\\\\sigma = \sqrt{\dfrac{236}{5}}\\\\\\\sigma = \sqrt{47.2}\\\\\\\sigma = 6.87 \approx 6.9[/tex]

The standard deviation for this set of population data is 6.9. Then the correct option is A.

More about the standard deviation link is given below.

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Answer:

Step-by-step explanation:

Answer:

2/10 or 1/5 if you want it simplified

Step-by-step explanation:

9/10 is basically 9 and 7/10 is 7 so 9 - 7 is 2 and we need to add the /10 back so it's 2/10 or 1/5

Step-by-step explanation:

want to draw=7/10

mistakely draw=9/10

here,

9/10

- 7/10

2/0

therefore, the engineer draw the line 2/0 longer than he need

Answer:

The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.

Step-by-step explanation:

Answer:

-2,-2 i think

Step-by-step explanation:

Find 6% of 13.25

0.06 x 13.25 = 0.795

Then subtract 0.795 from 13.25 because the price was less last year

13.25-0.795 = 12.455

Rounded up that would be $12.46 last year

Answer:

2

[tex]2 \times area \div height \:[/tex]

Step-by-step explanation:

the answer is 5

Answer:

JH=16

Step-by-step explanation:

Hi there!

We are given ΔHIJ, where HI is parallel to KL, and that JK=10, JI=40, and JL=25

We want to find JH

We can use something called the Triangle Proportionality Theorem to help us find JH

The Triangle Proportionality Theorem essentially states that if there is a line parallel to one of the sides of a triangle that intersects the other 2 sides of that triangle, then that segment divides those sides proportionally

In other words, KL is parallel to HI and intersects both HJ and JI, and JK, JH, JL, and JI create a proportion, which is [tex]\frac{JK}{JH} =\frac{JL}{JI}[/tex]

We can substitute the values that we know into that equation

[tex]\frac{10}{JH} =\frac{25}{40}[/tex]

We can simplify 25/40 to 5/8.

[tex]\frac{10}{JH} =\frac{5}{8}[/tex]

Now we can cross multiply (use the means-extreme theorem)

Multiply 10 and 8 together, and set that equal to 5 times JH

80 = 5JH
Divide both sides by 5

16=JH
Hope this helps!
See more on the Triangle Proportionally Theorem here: https://brainly.com/question/20064024

Answer:

20

Step-by-step explanation:

if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger

4 x 5=20

Answer: Your average would be about 41 dollars

Step-by-step explanation:

Why because if you add up all of the costs and round it, the answer is 41

Answer:

0.58

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

[tex]13 -( 2p + 1 )= - 2p + 12[/tex]

Then find distance between 13, and 5p-3

[tex]5p - 3 - ( 13) = 5p - 16[/tex]

Terms in a AP progression should have same distances as each other.

[tex]5p - 16 = - 2p + 12[/tex]

[tex]7p = 28[/tex]

[tex]p = 4[/tex]

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.

yes 7 - 11 = -4

so 7x - 11x = -4x

The ph and poh values were calculated using the formula.

It is given that

[H⁺] of KOH solution = [tex]1.87*10^{-13}[/tex]

[tex]ph = -log[H^{+} ][/tex]

[tex]poh = -log[OH^{-} ][/tex]

So, ph of KOH solution = [tex]-log[1.87*10^{-13} ][/tex]

The ph of KOH solution = 12.72

Similarly, poh of a KOH solution that has [OH⁻] = 5.81 ×10–3m is 2.24.

The ph of NaCl solution that has [H⁺] = 1.00 × 10–7m is 7.

Thus, the ph and poh values were calculated using the formula.

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Answer:

What is the pH of a KOH solution that has [H+] = 1.87 × 10–13 M? Round to the nearest tenth.

12.7

What is the pOH  of  a KOH  solution that has [OH–]  = 5.81 ×10–3M?  Round  to the nearest hundredth.

2.24

What is the pH of a solution of NaCl that has [H+] = 1.00 × 10–7 M? Round to the nearest hundredth.

7.00

Step-by-step explanation:

there are 13 people in line

Answer:

A, B, and C are rotations so it must be D

Step-by-step explanation:

Answer:

67

Step-by-step explanation

I did this in my math class yesterday

Answer:

D

....

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

John should use the closed circle when representing the inequality x ≤ 10.

An inequality is an expression that shows the relationship between two or more numbers and variables.

Given the inequality x ≤ 10. To graph this inequality, we need to represent it on a number line.

When representing on a number line, closed circle is used to represent ≤ or ≥ while open circle represents < or >.

John should use the closed circle when representing the inequality x ≤ 10.

Find out more on inequality at: https://brainly.com/question/24372553

1. Divide 4 both sides

2. Graph the inequality

Answer: 10.5

Step-by-step explanation:

Answer:The answer for number one is 37cm,two is 62m,three is 80m, and the forth one is 45m.

Answer:

40cm²

Step-by-step explanation:

[tex]Solution,\\Here,\\\\Height(h)=5cm\\\\Base(b)=8cm\\\\Now,\\\\Area=base*height\\\\Area=8cm*5cm\\\\Area=40cm^{2}[/tex]

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Height of the Parallelogram is 5 cm . Its Base is given as 8 cm . And, we have been asked to calculate the Area of Parallelogram .

For calculating the Area , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Area \: _{Parallelogram} \: = \: Base \: \times \: Height} [/tex]

[tex] \longmapsto \: \: \sf {Area \: _{Parallelogram} \: = \: 8 \: \times \: 5} [/tex]

[tex] \longmapsto \: \: \bf {Area \: _{Parallelogram} \: = \: 40} [/tex]

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Answer:

28°

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28°

Please brainlest!

Answer:

43 ,32 ,21 ,12, 5

Step-by-step explanation:

(x-3)(x-7)

(-2-3)(-2-7)  =45

(-1-3)(-1-7)    =32

(0-3)(0-7)    =21

(1-3)(1-7)      =12

(2-3)(2-7)    = 5

Answer:

A

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

Answer:

A. x<1

Step-by-step explanation:

-1/2 (x+3) > x - 3

(-1/2)x-3/2>x-3

Multiply both sides by 2:

-x-3>2x-6

add both sides by 3:

-x-3+3>2x-6+3

-x>2x-3

minus both sides by 2x

-x-2x>2x-2x-3

-3x>-3

x<1

The function  f[g(x)] = 10x+105 will represent  the function

We have two functions

[tex]F(x)=10x+25[/tex]  

and

[tex]g(x)=x+8[/tex]

To find  f[g(x)] put the value of g(x) in F(x)

[tex]F(g(x)=10(x+8)+25[/tex]

[tex]F(g(x)=10x+80+25[/tex]

[tex]F(g(x)= 10x+105[/tex]

Thus  the function  f[g(x)] = 10x+105 will represent the function

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