Three runners competed in a race. Data were collected at each mile mark for each runner. If the runner ran at a constant pace, the data would be linear. A regression line fitted to their data. Uses the residual plots to decide which data set is best fit by the regression line, and then identify the runner that kept the most consistent pace.

Answer:

200.96 inch²

Step-by-step explanation:

formula for a circle: (pi) x r²

pi= 3.14

3.14 x 8²

=200.96 inch²

For this case we have by definition, that the area of a circle is given by:

[tex]A = \pi * r ^ 2[/tex]

Where:

A: It is the radius of the circle

They tell us as data that the radius is 8 inches.

Substituting we have:

[tex]A = \pi * (8) ^ 2\\A = \pi * 64\\A = (3.14) (64)\\A = 200.96[/tex]

Thus, the area of the circle is [tex]200.96 \ in ^ 2[/tex]

Answer:

[tex]200.96 \ in ^ 2[/tex]

Answer:

Option A. Angle RNQ is equal in measure to arc PR.

Step-by-step explanation:

we know that

The triangle NOR is an equilateral triangle, because has three equal sides

NO=OR=RN ----> radius of the circle O

therefore

The interior angles of the triangle NOR measures 60 degrees each

so

∠RNO=60°

Find the measure of angle RNQ

we have that

∠RNO+∠RNQ=180° ------> by supplementary angles (linear pair)

substitute

60°+∠RNQ=180°

∠RNQ=180°-60°=120°

we know that

arc PR= 120° ----> see the graph

therefore

∠RNQ=arc PR

Angle RNQ is equal in measure to arc PR.

Answer:

it’s a

Step-by-step explanation:

Answer:

poooooooooooooooooop

Step-by-step explanation:

Let's first find the slope

To find the slope you can use any two points in the table. The following are the two I picked:

(-3, 18) and (0, 12)

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =12\\y_{1} =18\\x_{2} =0\\x_{1} =-3[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{12 - 18}{0 - (-3)}[/tex]

[tex]\frac{-6}{3}[/tex]

Simplify to...

-2

^^^This is your slope

Y-intercept is where the graph intersect with the y axis, which makes the x value 0. This means that the coordinate should look like so...

(0, y)

In this case the y-intercept is:

(0, 12)

Your answer is B!

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

B. The slope is -2, and the y-intercept is 12.

Step-by-step explanation:

Slope formula:

       ↓

[tex]\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

Slope-intercept formula:

       ↓

[tex]Y=MX+B[/tex]

[tex]\frac{12-18=-6}{0-(-3)=3}=\frac{-6\div3}{3\div3}=\frac{-2}{1}=-2[/tex]

Therefore, the answer is B.

Answer:

Step-by-step explanation:

5 * 5 * 5 * 5

= 625

ANSWER

[tex] {5}^{4} = 625[/tex]

EXPLANATION

We want to simplify the exponential expression 5⁴ by writing and simplifying a multiplication expression that represents it.

This implies that

[tex] {5}^{4} = 5 \times 5 \times 5 \times 5[/tex]

This simplifies to

[tex]{5}^{4} = 25 \times 2 5[/tex]

We finally obtain:

[tex] {5}^{4} = 625[/tex]

Answer:

The answer would be 18.

Step-by-step explanation

If 20% of a number is 12, then 30% of that same number would be 18. This means that the number would be 60 (6×2=12, 6×3=18). Hope this helps you to understand your math problem better!

Answer:

Yes, they are.

Step-by-step explanation:

Remember that a triangle is only a right triangle if its sides meet this mathematical requirement:

(leg)² + (leg)² = (hypotenuse)²

The hypotenuse of a right triangle is the longest side, while the legs are the two shorter sides. We can't say exactly where √34 is, but since √25 = 5 and √36 = 6, we know it must be at least bigger than 5, making it the triangle's longest side.

Using √34 as the "hypotenuse" and 3 and 5 as the "legs" of our triangle makes the equation 3² + 5² = (√34)², and simplifying gets us

9 + 25 = 34

34 = 34

The requirement's been met, so yes, this is a right triangle.

Answer:

That would be B.  Graph A.

Step-by-step explanation:

The  graph y < 2x - 1 is a dotted line which rises to the right with  a slope of 2 and passes through y = -1  and is shaded below the line. The graph y > -2 x +  2 rises to the left and passes through y = 2 and is shaded above the line.

Answer:

Length=87 ft

Width=77 ft

Step-by-step explanation:

Let

L ----> the length of rectangular movie screen

W ----> the width of rectangular movie screen

we know that

The area is equal to

[tex]A=LW[/tex]

[tex]A=6,699\ ft^{2}[/tex]

so

[tex]6,699=LW[/tex] ----> equation A

[tex]L=W+10[/tex] ----> equation B

substitute equation B in equation A

[tex]6,699=(W+10)W\\ \\W^{2} +10W-6,699=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]W=77\ ft[/tex]

see the attached figure

Find the value of L

[tex]L=77+10=87\ ft[/tex]

Answer:

Step-by-step explanation:

Look at the picture.

Read the coordinates of intercepts of each line.

Put them to slope-intercept form of an equation of a line:

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

m - slope

b - y-intercept → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The blue line:

(4, 0), (0, -2) → b=  -2

[tex]m=\dfrac{-2-0}{0-4}=\dfrac{-2}{-4}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]

Substitute the values of a slope and an y-intercept to the equation of a line:

[tex]y=\dfrac{1}{2}x-2[/tex]

Convert to the standard form [tex]Ax+By=C[/tex]:

[tex]y=\dfrac{1}{2}x-2[/tex]           multiply both sides by 2

[tex]2y=x-4[/tex]            subtract x from both sides

[tex]-x+2y=-4[/tex]           change the signs

[tex]x-2y=4[/tex]

The red line:

(-2, 0), (0, -4) → b= -4

[tex]m=\dfrac{-4-0}{0-(-2)}=\dfrac{-4}{2}=-2[/tex]

[tex]y=-2x-4[/tex]           add 2x to both sides

[tex]2x+y=-4[/tex]

The answer is B.

Hope it helps

Answer: 2x^3+4x+4 would be the answer.

Step-by-step explanation: x^2 can only be combines with another variable with the same exponent. Then you just multiply the whole equation by 2. Hope this helps!

Answer:

[tex]GT=10\ units[/tex]  and [tex]TA=6\ units[/tex]

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{GR}{GE}=\frac{GT}{GA}[/tex]

we have

[tex]GR=5\ units[/tex]

[tex]GE=5+3=8\ units[/tex]

[tex]GT=16-x\ units[/tex]

[tex]GA=16\ units[/tex]

substitute

[tex]\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units[/tex]

therefore

[tex]GT=16-x=16-6=10\ units[/tex]

[tex]TA=x=6\ units[/tex]

Answer:

[tex]\large\boxed{x<-3\ or\ x>6}[/tex]

Step-by-step explanation:

[tex]x+7<4\qquad\text{subtract 7 from both sides}\\\\x+7-7<4-7\\\\x<-3\\\\7-x<1\qquad\text{subtract 7 from both sides}\\\\7-7-x<1-7\\\\-x<-6\qquad\text{change the signs}\\\\x>6[/tex]

Step-by-step explanation:

all work is pictured and shown

Answer:

2/5 and 8/9  (answers can vary)

Step-by-step explanation:

The lcm of 5 and 9 is 45 so that works for our denominators.

So 2/5 and 8/9 (the answers are many)

Answer:

1/45 and 8/90

Step-by-step explanation:

Between these two fractions, the lowest shared denominator is 45.

Answer:

W+100=M

Explanation:

So the problem says there will always be 100 more men than woman. So that would mean you just have to add the amount of women and 100 to find the number of men. For example, if there are 3 women, there will be 103 men.

Hope this helps ;)

Certainly! To create an algebraic equation representing the given situation, we can use the information that there are 100 more men than women at the school.

Let's use the variables:
- \( W \) to represent the number of women
- \( M \) to represent the number of men

The key piece of information that we have is that the number of men is 100 more than the number of women. We can write this relationship with an equation:

\[ M = W + 100 \]

This equation states that if you take the number of women (\( W \)) and add 100 to it, you will get the number of men (\( M \)). It directly translates the information given into an algebraic equation, showing the relationship between the number of women and the number of men in the school.

Answer:

(5e)^4

Step-by-step explanation:

Answer:

C. 4 root 2

Step-by-step explanation:

Total amount of angles = 45° + 45° = 90°

sin90 * 4 root 2 = 5.656854

Answer:

4

Step-by-step explanation:

You will either use cos or sin solve this problem

1. set up the problem like this

x/sin 45   x     4 root 2/sin 90

2. cross multiply (it will be useful to use calculator or if you know unit circle then you're good)

sin 90 = 1 and sin 45 = .7071067812 (don't really need to know this)

1x = (sin 45 x 4 root 2)

3. Solve for x like normal

1x = 4

1x/1 = 4/1

x = 4

Answer:18542

Step-by-step explanation:simplemath

The diameter of the circular DVD is d = 12 cm

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the diameter of the circular DVD be d

The total number of ridges = 73,000

The total number of valleys = 73,000

The width of each ridge = 0.000032 cm

The width of each valley = 0.000074 cm

The length of center portion c = 4.26 cm

And , the diameter of circular DVD = total width of ridges + total width of valleys + center portion

The total width of ridges = ( 0.000032 cm ) x 73,000

The total width of valleys = ( 0.000074 cm ) x 73,000

So , the total width of ridges and valleys  = 73,000 ( 0.000106 ) = 7.738 cm

On simplifying , we get

The diameter of circular DVD d = 7.738 cm + 4.26 cm

The diameter of circular DVD d = 11.998 cm

The diameter of circular DVD d ≈ 12 cm

Hence , the diameter of the circular DVD is 12 cm

To learn more about circle click :

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Answer:

He is not correct because he made a sign error.

Step-by-step explanation:

-2 |8-x| - 6 = -12

-2 |8-x| = -12 + 6

-2 |8-x| = - 6

2 |8-x| = 6

|8-x| = 3

2 possible solutions:

8-x = 3 ----> x = 5

or

8-x = -3  ----> x = 11

Comparing the answer choices, we can see that Johan got the sign of x = 11 wrong.

Hence the correct answer is:

He is not correct because he made a sign error.

Answer: Just did it on ed, answer is "He is not correct because he made a sign error."

Step-by-step explanation:

Answer:

The height of the cylinder is 4x units

Step-by-step explanation:

see the attached document

Answer:

The answer is 1,3, and 6 Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\left(\dfrac{1}{7}\right)^{3a+3}=343^{a-1}\qquad\text{use}\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\\\7^{-(3a+3)}=(7^3)^{a-1}\qquad\text{use the distributive property}\\\\7^{-3a-3}=7^{3a-3}\iff-3a-3=3a-3\qquad\text{add 3 to both sides}\\\\-3a=3a\qquad\text{subtract}\ 3a\ \text{from both sides}\\\\-6a=0\qquad\text{divide both sides by (-6)}\\\\a=0[/tex]

Answer:

$8.40

Step-by-step explanation:

To find the unit rate, take the total cost and divide by the number of times that you went

84/10

8.4

The unit rate (or cost per visit) is $8.40

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (12, 6) and (12, -9). Substitute:

[tex]d=\sqrt{(12-12)^2+(-9-6)^2}=\sqrt{0^2+(-15)^2}=\sqrt{225}=15[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{The formula is:}\bf{\frac{y_2-y_1}{x_2-x_1}}[/tex] [tex]\text{ or you can say}\rightarrow[/tex] [tex]\frac{Rise}{Run}[/tex]

[tex]\text{y}_2=-9\\\\\text{y}_1=6\\\\\text{x}_2=12\\\\\text{x}_1=12[/tex]

[tex]\text{Now, that we know what our points are we could solve this equation}[/tex]

[tex]\frac{-9-6}{12-12}[/tex]

[tex]\text{-9 - 6 = -15}[/tex]

[tex]\text{12 - 12 = 0}[/tex]

[tex]\bf{= \ \frac{-15}{0}}[/tex]

[tex]\boxed{\boxed{\bf{Answer: \ \frac{-15}{0}}}}\checkmark[/tex]

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

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

Answer:

14 dish soaps

Step-by-step explanation:

Johnny has 19 bottles of dish soap and he gives 5 to Jeina

19 - 5 = 14

Answer:

14

Step-by-step explanation:

Johnny has 19 bottles of dish soap and he gives 5 to Jeina  

19 - 5 = 14

Step-by-step explanation:

to add or subtract in this case you have to the same common denominator. but what ever you do to the denominator you have to do to the numerator. top = numerator and bottom = denominator.

Answer:

[tex]-x+19/6[/tex]

Step-by-step explanation:

Answer: 4 feet and 2 feet

Step-by-step explanation: The only factor of 8 that is an even integer is 4 and 2. So the answer is 4 feet and 2 feet.

Answer:

5.2% increase

Step-by-step explanation:

In 2015 the total population was 750.

In 2016 the total population was 17% more than in 2015, so 750 x 1.17 = 877.

In 2017 the total population was 10% less than in 2016, so 877 x 0.9 = 789.

Compared to 2015, the population in 2017 was 789/750 = 1.052 or 5.2% greater.

In one step:

((750 x 1.17) x 0.9) / 750 = 5.2%

In this question, we're going to need to find the population in 2017, while using the given information.

Lets gather the information we should know from the question.

Key information:

2015 -- Population of 750

Increased by 17% in the next year

Decreased by 10% the next year

With the information above, we can solve the problem.

We know that our starting population for crickets is 750, and it increases by 17% for the next year (2016), so we would multiply 750 by 1.17

[tex]750*1.17=877.5[/tex]

Our population in 2016 is 877.5.

Now, we know that he population in 2016 decreased by 10% going into 2017. We would need to find how much of 877.5 is 10%, and then subtract.

[tex]877.5*.10=87.75\\\\877.5-87.75=789.75[/tex]

When you're done solving, you should get 789.75

This means that the population of crickets in 2017 is 789.75.

Now, we know that we started with 750 crickets, now we have 789.5 crickets.

We would divide 789.5 by 750.

[tex]789.5\div750=1.053[/tex]

We would move the decimal place two times to the right, giving us 5.3.

This means that the population increased by 5.3% from 2015 to 2017.

Answer:

36

Step-by-step explanation:

(-6)^ 2

-6*-6 = 36

The measure of the congruent angle of the triangle MNO will be 28.7°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

Triangle MNO is an isosceles triangle in which only one angle measures 122.6°.

Let the measure of the congruent angle be 'x'. Then the equation is given as,

x + x + 122.6° = 180°

2x = 180° - 122.6°

2x = 57.4°

x = 28.7°

The measure of the congruent angle of the triangle MNO will be 28.7°.

More about the triangle link is given below.

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