Brainliest for the correct awnser!! A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9

Brainliest For The Correct Awnser!! A Calculator Was Used To Perform A Linear Regression On The Values

Answers

Answer 1

Answer:

Option B

Step-by-step explanation:

Taking the derivative of the residual function, then applying the normal equation:

[a; b] = (X'*X)^(X'*y)

with

X = [1 1; 2 1; 3 1; 4 1; 5 1]

X' is transpose of X

y = [11; 8; 4; 1; 0]

[a; b] =  [-2.9 13.5]


Related Questions

Please help ASAP it is due today

Answers

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

         1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

         4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

         4.5b = 495

Step 4 -- divide 4.5 from both the sides

         b = 110  ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

Help me please I need this for my test tomorrow pleaseeeee!!!!!!

Answers

Answer:

st

Just substitute in the given values

Step-by-step explanation:

Hey, there!!

You can solve it simply,

1.

Given,

x= 1 , y=2 , z= 3

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{2 + 3} [/tex]

[tex] = 1 - \frac{1}{5} [/tex]

Taking LCM,

[tex] = \frac{5 - 1}{5} [/tex]

Therefore, the final answer is 4/5.

2.

Given,

x= 1 , y= -2, z= -1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{ - 2 - 1} [/tex]

Taking LCM,

[tex] = \frac{ - 3 - 1}{ - 3} [/tex]

[tex] = \frac{ - 4}{ - 3} [/tex]

Cancelling the minus sign,

[tex] \frac{4}{ 3} [/tex]

is the final answer.

3.

Given,

x= -3, y= -1, z= 4

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {( - 3)}^{2} } - \frac{ - 3}{ - 1 + 4} [/tex]

[tex] = \frac{1}{9} - ( - 1)[/tex]

[tex] = \frac{1 + 9}{9} [/tex]

Therefore, the answer is 10/9.

4.

Given,

x= 1/2, y=1, z=1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ ( { \frac{1}{2}) }^{2} } - \frac{ \frac{1}{2} }{1 + 1} [/tex]

Simplifying them ,

[tex]1 \times \frac{4}{1} - \frac{1}{2} \times 2[/tex]

[tex] = 4 - 1[/tex]

Therefore, the answer is 3.

Hope it helps...

Which statement about the number of earthquakes the
states had for the given time span is true?
State A had approximately 1,533 more earthquakes than
State B.
State B had approximately 1,533 more earthquakes than
State A
State A had approximately 3,362 more earthquakes than
State B.
State B had approximately 3,362 more earthquakes than
State A.

Answers

Answer:

State A had approximately 1,533 more earthquakes than  State B.

Step-by-step explanation:

Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.

Answer:

C

Step-by-step explanation: i took the test and got a 100%

trigonometry help ! tysm

Answers

Answer:

a = 50 degrees

b = 85 degrees

c = 95 degrees

d = 82 degrees

e = 125 degrees

f = 95 degrees

g = 110 degrees

h = 35 degrees

Step-by-step explanation:

1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.

Solve for a, and we get a = 50 degrees.

2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.

c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.

3. d is 82 degrees, as it is an alternate interior angle with the 82.

e is 125 degrees, as it is corresponding with the 125.

4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.

5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.

6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.

We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.

Evaluate a^2b^2c^2 for a=2, b=3, and c=4

Answers

Answer:

576

Step-by-step explanation:

a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576

ten less than the prouduct of six and a number is 32. which equation would help you find the number

Answers

Answer:

6x-10 =32

Step-by-step explanation:

Let the number be x

the product of 6 and a number

6x

ten less than

6x-10

That is equal to 32

6x-10 =32

Name two pairs of opposite rays, please. ​

Answers

Answer:

Ray DE and Ray AE

Step-by-step explanation:

Ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.

What is a Line?

A line can be defined by the shortest distance between two points is called a line.

Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays

Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Learn more about lines here:

brainly.com/question/2696693

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Write in order from least to greatest. 0.75, 0.39, 0.2, 0.35
A)0.75,0.35, 0.39, 0.2
B)0.2, 0.35, 0.39, 0.75
C)0.2, 0.39, 0.35, 0.75
D)0.75, 0.39, 0.35, 0.2

Answers

Answer:

.2,.35,.39,.75

Step-by-step explanation:

u just arrang in order

Given point (-6, -3) and a slope of 4, write an equation in point-slope form. A. y - 3 = 4(x - 6) B. y + 3 = 4(x - 6) C. y + 3 = 4(x + 6) D. y - 3 = 4(x + 6)

Answers

Answer:

C

Step-by-step explanation:

So we have the point (-6,-3) and a slope of 4.

And we want to write this into point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Therefore, substitute in 4 for m and let (-6,-3) be x₁ and y₁, respectively.

Therefore:

[tex]y-(-3)=4(x-(-6))[/tex]

Two negatives make a positive:

[tex]y+3=4(x+6)[/tex]

The answer is C

find the equation of the line that is parallel to the given line and passes through the given point
[tex]x+4y=-6 ; (8, -3)[/tex]

Answers

Answer:

[tex]\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}[/tex]

[tex]x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1[/tex]

[tex]\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4[/tex]

thw difference of two fractions is 4 2/7 one do the fraction is 2 3/5 find the other fraction

Answers

Answer:

241/35 = 6  31/35

Step-by-step explanation:

2  3/5 + 4  2/7 = 241/35

Find the value for “x”; 2 – 7x = -19

Answers

Step-by-step explanation:

2+19=7x

21=7x

21÷7=7x÷7

3=x

..

1. 2 |-9|
2. 4 |-4|
3. 1 |1|
4. 11 |11|
5. 9 |-2|

Answers

The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

-8
-7
-6
-5
-4
+
0 1 2
-3
-2
-8
-7
-6
-5
-4
-3
-2
-1
0 1 2
-8 7
-6 -5
-4
-3
.-2
-1
0 1
2
-8
+
2
-7
-6
-3
-2
-1
0
1
Compare and contrast the four number lines. Decide which number line doesn't belong. Justify your reasoning.

Answers

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

HELP ASAP!!!
Which of the numbers below could be terms in the sequence an = 7n+4?
Check all that apply.
A. 36
B. 24
C. 46
D. 32

Answers

Answer:

C. 46, D. 32

Step-by-step explanation:

Each term is obtained by adding 4 to a multiple of 7.

Subtract 4 from each choice:

A. 32

B. 20

C. 42

D. 28

Only 42 and 28 are multiples of 7, so the answer is:

C. 46, D. 32

Answer: OPTION C AND D

Step-by-step explanation:

Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.

A. 36

an=7n+4

36=7n+4

32=7n

n=32/7

INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

B. 24

an=7n+4

24=7n+4

20=7n

n=20/7

INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

C. 46

an=7n+4

46=7n+4

42=7n

n=6

CORRECT. It is a integer.

D. 32

an=7n+4

32=7n+4

28=7n

n=4

CORRECT. It is a integer.

Hope this helps!! :)

Please let me know if you have any question

Solve for x 33x+10=5-2x

Answers

Our equation: 33x + 10 = 5 - 2x

Step 1:

To solve for x, we need to remember to isolate the variable (that is our way to solve for x). To do that, we add 2x on the right side of the equation to cancel -2x out. Then, we add 2x on the left of the equation. The equation becomes:

[tex]35x+10=5[/tex]

Step 2:

We subtract 10 from both sides (to cancel out the 10 on the left). Equation:

[tex]35x=-5[/tex]

Step 3: Divide 35 on both sides to get our x value.

[tex]\frac{35x}{35}=x\\\\\frac{-5}{35} =\frac{-1}{7}[/tex]

Answer: [tex]x=\frac{-1}{7}[/tex] Hope this helps!

Can someone please help me with this and give an explenation please

Answers

Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help

Step-by-step explanation:

* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator


As a result of a transfer from one school to another, a boy has to walk one
and a half times the distance he was walking from home to school. If he
walks at the same pace, how long will he take to walk to school if he was
taking 43 minutes previously?​

Answers

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

x

hr

And time taken at speed 4 km\hr=

4

x

hr

2.5

x

4

x

=

60

12

10

4x−2.5x

=

5

1

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

In a hypothesis test, standard error measures ____.

a. variability for the sample data
b. the amount of difference expected just by chance
c. the size of the treatment effect
d. the likelihood of a Type I or Type II error

Answers

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

Distance between -5 and 3. A) WRITE THE SUBTRACTION PROBLEM.

Answers

Answer:

3 - ( -5)=

8

Step-by-step explanation:

To find the distance

3 - ( -5)=

3+5

8

Which statement is true about f(x) = -6|x+5| - 2?

Answers

Some schools do this differently, but since I don’t have any of the answer choices I’ll show you how to

Factor: -6|x+5|-2

Factor out the two

2(-3|x+5|-1)

And if you are looking for a graph here:

Answer:

a :)

Step-by-step explanation:

plz helpaaaaaaaaaaaa

Answers

Answer:

Hey there!

1 4/9x+y=2

13x+9y=18

Let me know if this helps :)

The Answer is B.

because

1 4/9x+y=2

13x+9y=18

Hope this helps!

If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
A. x^2(x-7)
B. x^2 + x-7
C. x^3.7
D. (x-7)^3

Answers

Answer:

[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]

Step-by-step explanation:

[tex]f(x) = x -1\\g(x) = x^3[/tex]

We've to find [tex]f(g(x))[/tex]

Which will be [tex]f(x-7)[/tex]

Putting x in f(x) as x-7

So,

[tex]f(g(x)) = (x-7)^3[/tex]

I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please

Answers

Answer:

Step-by-step explanation:

To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10.  Breaking down the values in multiples of 10 will give;

1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)

Express in exponential form

1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)

1,000,000 = (10³) * (10³)

1,000,000 = 10³⁺³

1,000,000 = 10⁶

Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶

For 10 * 10:

10 * 10 = 10¹ * 10¹

10 * 10 = 10¹⁺¹

10 * 10 = 10²

10 * 10 = 1 * 10²

The value of the expression 10*10 in exponential form is 1 * 10²

For 10,000 * 10:

10,000 * 10 = (10*10*10*10) * 10

10,000 * 10 = (10⁴) * 10¹

10,000 * 10 = 10⁴⁺¹

10,000 * 10 = 1 * 10⁵

Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵

Find all positive integers a,b,c with the property a+b+c=abc

Answers

Answer:

you need one of them to be 0 and the other 2 the negative of each other.

or they must have the same sign and be 1,2,3 (or -1, -2 and -3)

sequence not effect the answer

Step-by-step explanation:

Find the equation for the line parallel to y=x+3 which has the same y intercept as 2x+3y=12

Answers

Answer:

[tex]y=x+4[/tex]

Step-by-step explanation:

Two parallel lines will have the same slope:

[tex]y=mx+b[/tex]

This is the y-intercept equation, where m is the slope and b is the y-intercept:

[tex]y=x+3[/tex]

The slope is x, or 1x, so the parallel line is also x.

Find the y-intercept:

You do this by taking the equation given and solving for y:

[tex]2x+3y=12[/tex]

Isolate the variable y. Subtract 2x from both sides:

[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]

Isolate y by dividing both sides by 3:

[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]

Rearrange in slope-intercept form:

[tex]y=-\frac{2}{3}x+ 4[/tex]

The y-intercept of this equation is 4.

Now make the equation using the given information:

[tex]y=x+4[/tex]

:Done

Find three consecutive integers whose sum is 24.

Answers

Answer: 7 8 and 9

Step-by-step explanation:

7+8=15 and 15+9= 24 so 7, 8, 9 equal 24

Step-by-step explanation: This problem states that the sum of 3

consecutive integers is 24 and it asks us to find the integers.

You can represent the integers as I have down below.

Then solve from there, which I have also shown below.

Don’t just solve for x. Make sure you list all the

integers that the problem asks you to find.

Can someone please help on both questions!! Thank you

Answers

Question 7

Answer: A) 15

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

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

Question 8

Answer: B) 17

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

angle A = angle Eangle B = angle Dangle C = angle F

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

What is the coefficient of a plain
variable such as x or a?

1

0

Answers

Answer:

1

Step-by-step explanation:

If it was 0, then the variable would not be there since anything times 0 is 0. Now you might be wondering how it is 1. Anything times 1 is itself, so there is no need to write x as 1x, you can just write it as x. Same thing with a. No need to write 1a, just a

The coefficient of a plain variable is 1.

What is coefficient?

A coefficient is a number multiplied by a variable.

Whenever a variable is given without any coefficient, we consider the coefficient as 1, because multiplying any digit or variable by 1 does not change its value.

Hence, The coefficient of a plain variable is 1.

For more references on coefficient, click;

https://brainly.com/question/27481600

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Find a three-digit palindromic number which is exactly 19 times the sum of its digits

Answers

the number that can exactly 19 is 38

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Please help me please thank you Based on the similar triangles shown below, Theodore claims that TUV is transformed to WXY with a scale factor of 32. Is Theodore correct? Yes, the triangles are similar with a scale factor of 32. No, the triangles are similar with a scale factor of 21. No, the triangles are similar with a scale factor of 23. No, the triangles are similar with a scale factor of 43. Select all the statements that are true about the dependent variable.a. It is also the "then" part of your hypothesis.b. It's sometimes called the "responding variable"c. It always stays the same.d. It's often abbreviated as "DV" Which best describes one way that African American abolitionists differed from white abolitionists? A. African American abolitionists preferred colonization. B. African American abolitionists emphasized legal and social equality. C. African American abolitionists preferred protest over political action. D. African American abolitionists advocated violence. E. There were no significant differences. Solve application problems using quadratic equations. A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72, then find the numbers. In recent years, there has been an effort by companies to make computer chips:O smaller.O larger.O bendable.O harder A lean supply chain is a network of ______ organizations in which all of the supply chain partners collectively align their ______ to effectively meet customer demand. Missions & Presidio During the Early Spanish Period in Texas According to this map, which statement is MOST accurate? A) Each mission had a presidio close by. B) Most Spanish missions were found close to rivers. C) There were very few missions located in eastern Texas. D) Missions were constructed close to local American Indian villages. find the slope (0, -3) and (9, 0) PLEASE SHOW YOUR WORK, WILL MARK BRAINLEIST . An angle measures 28 less than the measure of its complementarylangle. What is themeasure of each angle? the ratio of the side length of square A to the side length of square B is 3 : 5. the perimeter of square B IS 60 feet. what is the area of square A? a plate moves 200m in 10,000 years. what is the rate in cm/year Which two of these items were produced in ancient Greece for trade? Which value of x satisfies the equation 5(2x-9)+3=-7 when atoms and molecules starts getting jumpy this thing can make steak and potatoes that are lumpy The condition of the Rh factor is called (positive/negative?) when present and (positive/negative?) when absent. What is the effect of speed on impact on impact force in a traffic crash?A. Speed has no effect on impact force B. More speed = less impact force C. More speed= greater impact force -7-7 (2m-7) = 7 (6+m) 10) Workmen used 3/5 of a pallet of pavers to build some steps leading up to themansion. They used 1/10 of a pallet for each step. How many steps did they build? six coins in your pocket: 5 cents, 10 cents, 20 cents, 50 cents, $1, $2. How many different sums of money can you make?