2. Model with Math Marcy always sleeps fewer
than 9 hours each night and has never scored
more than 27 points in a basketball game.
A scatter plot suggests that the more sleep
she gets, the more she scores. What scales for
the axes might be best for constructing the
scatter plot?

Answer:

5 is your answer sweetheart

Step-by-step explanation:

We know that the range to a data set is the difference between the maximum data value and the minimum data value .

The given data set :  29, 30, 28, 32, 28, 31, 27

Maximum value = 32

Minimum value = 27

Then , the range the given data set would be :-

\begin{gathered}\text{Range = Maximum-Minimum}\\\\\Rightarrow\text{Range}=32-27=5\end{gathered}Range = Maximum-Minimum⇒Range=32−27=5

Hence, the range of her distances = 5

Answer:

5

Step-by-step explanation:

Answer:

[tex]{2}^{3} = 2 \times 2 \times 2 = 8[/tex]

Step-by-step explanation:

*We're focusing on 2 to the power of 3.

2^3 is represented as 2 x 2 x 2, 2 is being multiplied by itself 2 times.

When we multiply, we find the product of 8.

Therefore,

[tex] {2}^{3} = 2 \times 2 \times 2 = 8[/tex]

Answer: 10

Step-by-step explanation:

Miguel paid a total of $12,000 stock that was $8 per share. That's $1,500 you make. 15,000 that was $8 per share. That's $1,875. I dont know if the answer is right, but I wish you well

Answer: 135%

Step-by-step explanation: Given

Europe =  35%

Asia = 10%

Australia* = 20%

North America = ?

To find

Europe + Asia + Australia =

35% + 10% + 20% = 65%

Then the total subtracted from the given

200 - 65 = 135

Therefore,

North America = 135%

Confirm

To make sure that is the correct answer, add it all together.

35 + 10 + 20 + 135 = 200

Which means it is correct.

Answer:

16.84?

Step-by-step explanation:

12.6/cos(29)=16.84

Answer:

78 boys

Step-by-step explanation:

If the ratio is 2:3 that means there are 5 equal parts

56/2= 28

3 x 28 = 78

Therefore there are 78 Boys

56:78

[RevyBreeze]

Answer:D

Step-by-step explanation:got it right on my test

Answer:

The answer is C i got a 100 on the test

Step-by-step explanation:

s + 2h = 7

s + 4h = 12

s = 12 - 4h

12 - 4h + 2h = 7

- 2h = -5

2h = 5

hotdog = $2.50

s = 12 - 10

soda = $2

Answer:

x = 5

Step-by-step explanation:

Looking at the ratios of height to base:

Smaller triangle   3x + 1 : 12

Larger triangle   4x : 3 + 12  =  4x : 15

Therefore as triangles are similar:

3x + 1 : 12  =  4x : 15

Write as fractions:

⇒ [tex]\dfrac{3x+1}{12}=\dfrac{4x}{15}[/tex]

Cross multiply and solve for x:

⇒ 15(3x + 1) = 12 · 4x

⇒ 45x + 15 = 48x

⇒ 15 = 3x

⇒ x = 5

Ratio remains same

[tex]\\ \tt\Rrightarrow \dfrac{3+12}{4x}=\dfrac{12}{3x+1}[/tex]

[tex]\\ \tt\Rrightarrow \dfrac{15}{4x}=\dfrac{12}{3x+1}[/tex]

[tex]\\ \tt\Rrightarrow 15(3x+1)=12(4x)[/tex]

[tex]\\ \tt\Rrightarrow 45x+15=48x[/tex]

[tex]\\ \tt\Rrightarrow 3x=15[/tex]

[tex]\\ \tt\Rrightarrow x=5[/tex]

[tex] \text{Given Equation is } \frac{x}{1} = \frac{ \sqrt[3]{m + 1{ }} + \sqrt[3]{m - 1} }{ \sqrt[3]{m + 1} + \sqrt[3]{m - 1} }[/tex]

[tex]\text{On Applying componendo and dividendo, we get:-}[/tex]

[tex] \frac{x + 1}{x - 1} = \frac{( \sqrt[3]{m + 1} + \sqrt[3]{m - 1} )+ ( \sqrt[3]{m + 1}) - \sqrt[3]{m - 1} }{ (\sqrt[3]{m + 1} + \sqrt[3]{m - 1}) - ( \sqrt[3]{m + 1}) - \sqrt[3]{m - 1} } [/tex]

[tex] \implies \: \frac{x + 1}{x - 1} = \frac{2( \sqrt[3]{m + 1)} }{2( \sqrt[3]{m - 1)} } \\ \\ \implies \frac{ x + 1}{x - 1} = \frac{ \sqrt[3]{m + 1} }{ \sqrt[3]{m - 1} } [/tex]

[tex] \text{On Cubing both sides, we get} \\ \frac{(x + 1) {}^{3} }{(x - 1) {}^{3} } = \frac{m + 1}{m - 1} [/tex]

[tex]\text{Again, Applying componendo and dividendo, we get:-}[/tex]

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

[tex] \implies \frac{ {x}^{3} + 1 {}^{3} + 3 {x}^{2} \times 1 + 3x \times {1}^{2} + ( {x}^{3} - 1 {}^{3} - 3x {}^{2} \times 1 + 3x \times 1 {}^{2} ) }{x {}^{3} + 1 {}^{3} + 3 {x}^{2} \times 1 + 3x \times {1}^{2} - (x {}^{3} - 1 {}^{3} - 3 {x}^{2} \times 1 + 3x \times {1}^{2}) } = \frac{2m}{2} [/tex]

[tex] \implies \frac{2x {}^{3} + 6x}{ {6x}^{2} + 2 } = \frac{m}{1} [/tex]

[tex] \implies \frac{2(x {}^{3 } + 3x) }{2(3 {x}^{2} + 1) } = \frac{m}{1} [/tex]

[tex] \implies \: x {}^{3} + 3x = 3m {x}^{2} + m \\ \\ \implies {x}^{3} - 3mx {}^{2} + 3x \\ = m[/tex]

Hope This Helps!!

Based on the calculations, the value of [tex]x^3-3mx^2+3x[/tex] is equal to m.

Given the following data:

[tex]x=\frac{\sqrt[3]{m+1} +\sqrt[3]{m-1}}{\sqrt[3]{m+1} +\sqrt[3]{m-1}}[/tex]

In order to simplify the given mathematical expression, we would apply the componendo and dividendo rule because it would the number of expansions as follows:

[tex]\frac{x}{1} =\frac{\sqrt[3]{m+1} +\sqrt[3]{m-1}}{\sqrt[3]{m+1} -\sqrt[3]{m-1}}\\\\\frac{x+1}{x-1} =\frac{(\sqrt[3]{m+1} +\sqrt[3]{m-1})+(\sqrt[3]{m+1} -\sqrt[3]{m-1})}{(\sqrt[3]{m+1} +\sqrt[3]{m-1})-(\sqrt[3]{m+1} -\sqrt[3]{m-1})}\\\\\frac{x+1}{x-1} =\frac{\sqrt[3]{m+1} +\sqrt[3]{m-1}+\sqrt[3]{m+1} -\sqrt[3]{m-1}}{\sqrt[3]{m+1} +\sqrt[3]{m-1}-\sqrt[3]{m+1} +\sqrt[3]{m-1}}\\\\\frac{x+1}{x-1} =\frac{2(\sqrt[3]{m+1})}{2(\sqrt[3]{m-1})} \\\\\frac{x+1}{x-1} =\frac{\sqrt[3]{m+1}}{\sqrt[3]{m-1}}[/tex]

Taking the cube of both sides, we have:

[tex](\frac{x+1}{x-1})^3 =(\frac{\sqrt[3]{m+1}}{\sqrt[3]{m-1}})^3\\\\\frac{(x+1)^3}{(x-1)^3}=\frac{m+1}{m-1}[/tex]

Applying the componendo and dividendo rule, we have:

[tex]\frac{(x+1)^3+(x-1)^3}{(x-1)^3-(x-1)^3}=\frac{m+1+(m-1)}{m-1-(m-1)}\\\\\frac{(x+1)^3+(x-1)^3}{(x-1)^3-(x-1)^3}=\frac{2m}{2} \\\\\frac{(x+1)^3+(x-1)^3}{(x-1)^3-(x-1)^3}=m\\\\\frac{2x^3+6x}{6x^2+2} =m\\\\\frac{2(x^3+3x)}{2(3x^2+1)} =m\\\\\frac{x^3+3x}{3x^2+1} =m\\\\x^3+3x=m(3x^2+1)\\\\x^3+3x=3mx^2+m\\\\x^3-3mx^2+3x=m[/tex]

Read more on componendo and dividendo here: https://brainly.com/question/134857

Answer:

i think the answer is 12

Step-by-step explanation:

Answer:

Joshua is paying a total of $270.60.

Step-by-step explanation:

Info that we have:

Pair of Nikes is $168.

2 hats for $78. (Not 39 because the question said $39 for each).

Shipping fee is 10% of total purchase.

We need to add up the cost.

168 + 78 = $246

Find how much is 10%.

10% of 246 = 24.6

Add the shipping fee to the total.

246 + 24.60 = 270.60

Answer:

Joshua is paying a total of $270.60.

Info that we have:

Pair of Nikes is $168.

2 hats for $78.

Shipping fee is 10% of total purchase.

Answer:

Step-by-step explanation:

[tex](\sqrt{24b^{3} } )(\sqrt{40b^{2} } )(\sqrt{b^{2} } )=(2b\sqrt{6b})(2b\sqrt{10} )(b)[/tex]

[tex]=4b^{3} (\sqrt{6b})(\sqrt{10} )[/tex]

Hope this helps

Answer:

C) 9 + x is the answer

Step-by-step explanation:

sum means to add

Hey there!

Guide:

• Sum means add/addition
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/Division

So, let’s answer your given question.

Key terms in your word problem

“The SUM of -9 and a NUMBER”

Sum is to add and Number is to unknown so we can label it as “x”

Your equation/answer should be:

-9 + x

Because you’re adding -9 to your unknown number (x)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: i think that picture 2 is b

Step-by-step explanation:

from the conclusion that I'm of and dont I feel like the answer is letter C I'm not sure

Answer:

  θ ≈ 48.2°

Step-by-step explanation:

The trig function that relates the angle, adjacent side, and hypotenuse is ...

  Cos = Adjacent/Hypotenuse

This tells you ...

  cos(θ) = 6/9

The angle is found from the cosine value using the inverse cosine function.

  θ = arccos(6/9) ≈ 48.2°

Angle A is about 48.2°.

Answer:

no solution

Step-by-step explanation:

this statement states y=y

-x+3 is not equal to -x+5

Answer:

36 minutes

Step-by-step explanation:

100 boxes in 3 hours is a rate. It is how fast you are working in boxes per hour 100/3 boxesperhour.

But 3 doesn't go into 100 very neatly and its going to make all kinds of ugly fractions or decimals. But lets look at minutes. 3 hours is 3 × 60 minutes (bc there's 60 minutes in an hour) So you loaded 100 boxes in 180 minutes. That's 100/180 boxes per minute.

100/180 = 10/18

10/18 means 10 boxes in 18 minutes.

So times 2 on the top and the bottom gives you 20/36.

20/36 means 20 boxes in 36 minutes.

This is your answer. It will take 36 minutes to load 20 more boxes.

Answer:

(7, -3)

Step-by-step explanation:

If M is the midpoint you can use the same translation from A to M as M to B.

The movement from A to M is 5 units up and 3 units left, or (x+5, y-3). If we do the same movement to point M (Which is (2) +5, (0) -3) we will get (7, -3).

Answer:

the coordinates of B is B(7,-3)

Step-by-step explanation:

Solution,

Here, M(2,0) is the midpoint of a line segment joining the points A(-3,3)

and B(a,b)

Let,

(x,y)=(2,0)

(x1,y1)=(-3,3)

(x2,y2)=(a,b)

Now,

Using midpoint formula

[tex]x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\2=\frac{-3+a}{2} ,0=\frac{3+b}{2} \\\\[/tex][Cross multiply]

[tex]4=-3+a,0=3+b\\\\4+3=a,0-3=b\\\\a=7,b=-3[/tex]

Answer:

x=30 degrees

If you replace the x with 30, it will all equal 180 which is the total you should get when making the triangle in a straight line. (not good english)

Answer:

-2

-Step-by-step explanation:

As, -6+(-2)= -6-2=-8

Thus, solved.

Hope it helps...

Answer:

Constant of proportionality: [tex]\frac{1}{3}[/tex]

Equation: [tex]y=\frac{1}{3}x[/tex]

Step-by-step explanation:

The constant of proportionality is the ratio between y and x, according to the following formula

constant of proportionality = k = y/x

Take the given pairs and replace the data.

1.

[tex]k=\frac{\frac{2}{3}}{2}[/tex]

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

2.

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

3.

[tex]k=\frac{\frac{10}{3}}{10}[/tex]

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

4.

[tex]k = \frac{4}{12}[/tex]

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

As you can see, the constant is the same for all the pairs.

constant of proportionality = [tex]\frac{1}{3}[/tex]

Now, in order to know the equation make a graph of the given data.

The graph is in the picture

Since it is a line, use the equation of the line in point slope form

[tex]y- { y }_{ 1 } = m \left( x- { x }_{ 1 } \right)[/tex]

where (x1, y1) = any pair of the data

m = slope = constant of proportionality

Replace the data in the equation

[tex]y-1 = \dfrac{ 1 }{ 3 } \left( x-3 \right)[/tex]

Use the distributive property to multiply [tex]\frac{1}{3}[/tex] by x - 3

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

Add 1 to both sides

[tex]y = \dfrac{ 1 }{ 3 } x-1+1[/tex]

Add −1 and 1 to get 0

[tex]y=\frac{1}{3}x[/tex]

or

[tex]y=\frac{x}{3}[/tex]

Answer:

(i) 64°

(ii) 26°

Step-by-step explanation:

Answer:

(i) m<ADB = 64°

(ii) m<ACD = 26°

Step-by-step explanation:

I use this to mean the measure of angle ADC: m<ADC

(i)

m<BEC = 52°

<DEA and <BEC are vertical angles, so they are congruent.

m<DEA = m<BEC = 52°

Polygon ABCD is a rectangle. When the diagonals, AC and BD, of a rectangle are drawn, 4 triangles are formed. Each two opposite triangles are congruent, and all 4 triangles are isosceles.

Triangle ADE is an isosceles triangle with congruent sides ED and EA. That makes opposite angles ADB and DAC congruent. Also the sum of the measures of the angles of a triangle is 180°.

m<ADB + m<DAC + m<DEA = 180°

m<ADB = m<DAC; m<DEA = 52°

2m<ADB + 52° = 180°

2m<ADB = 128°

m<ADB = 64°

(ii)

Angles DEC and BEC form a linear pair. That means the angles are supplementary, and the sum of their measures is 180°.

m<DEC + m<BEC = 180°

m<DEC + 52° = 180°

m<DEC = 128°

Triangle DEC is an isosceles triangle with congruent sides ED and EC. That makes opposite angles ACD and BDC congruent.

m<ACD + m<BDC + m<DEC = 180°

2m<ACD + 128° = 180°

2m<ACD = 52°

m<ACD = 26°

an equal distance = arithmetic sequence

xn= a+d(n-1)⇒ x₁ = a

x₅ - x₁ = 80

x₁ + 4d - x₁ = 80

4d = 80

d = 20 cm

x₂₀ - x₁ = x

x₁ + 19d - x₁ = x

19d = x

19.20 = 380

Answer: 19.8x - 11.1y

Step-by-step explanation: you’re welcome:)

Again lol

Answer:

Step 3 is right answer.

Step-by-step explanation:

He is substituting the values wrong. His 2nd step is right but as he moved to the 3rd step he put measure of angle n instead if measure if angle o

So Step 3 is right answer.