Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) It always takes 2 hours for 1 page of notes D) The 11th page of notes takes longer than normal

Answer:

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span      Height

   19.5               25

   35.5              35

   37.0              39

   40.5             40

   44.5             45

   45.5             50

   49.0             49

    51.0             55

   52.5             47

   59.0             60

   61.0              58

(1)

Compute the value of slope and intercept as follows:

[tex]\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5[/tex]

[tex]\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}[/tex]

The equation of the line of best fit is, y = 0.857·x + 7.174.

(2)

The slope of the line represent the rate of change in y caused by one unit change in x.

In this case the slope of m = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the x and y values.

Consider the values: (37, 39) and (51, 55)

Compute the value of y if x = 39:

[tex]y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6[/tex]

The new value of y (40.6) is close to the original value (39.0)

Compute the value of y if x = 55:

[tex]y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0[/tex]

The new value of y (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

y = 0.857·x + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

[tex]\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}[/tex]

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

Answer:

Step-by-step explanation:

each gallon 15% alcohol

and 5% alcohol

*is this question correct?

Answer:

Step-by-step explanation:

Let x = Gallons of 15% alcohol

   y = gallons of 5% alcohol

x + y = 10 gallons

y = 10 - x

15% of x + 5% of y = 14% of 10 gallons

0.15x + 0.05y = 0.14 * 10

0.15x + 0.05 * ( 10 - x) = 1.4

0.15x + 0.05*10  - x * 0.05 = 1.4

0.15x  + 0.5 - 0.05x = 1.4  

Add like terms

0.10x + 0.5 = 1.4

Subtract 0.5 from both sides

0.10x = 1.4 - 0.5

0.10x = 0.9

Divide both sides by 0.10

x = 0.9/0.1

x = 9

x = 9 gallons

y = 1 gallons

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

Answer:

False.

Step-by-step explanation:

Just look at them. They aren't even similar.

A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the  measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.

Hence, the given statement is false.

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Answer:

1.6 < x < 9.6

Step-by-step explanation:

The smallest the third side can be is greater than the difference of the other two sides

x > 5.6 -4

x > 1.6

The largest the third side can be is  less than the sum of the other two sides

x < 5.6 +4

x < 9.6

1.6 < x < 9.6

Answer:

Hello!

~~~~~~~~~~~~~~~

3^x+x³=17

=  x = 2

Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.

Hope this helped you! Brainliest would be nice! ❤︎

Answer:

-6

Step-by-step explanation:

Answer:

The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0)

Step-by-step explanation:

A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD

Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;

The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows

A = (0, 5)

B = (2, 5)

C = (2, 0)

D = (0, 0).

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

Answer:

50n

Step-by-step explanation:

This problem can be solved using concept of Arithmetic progression(AP)

In AP series

the series increases or decreases by certain number which is called common difference.

common difference d is given by

d= nth term - (n-1)th term

nth term = a + (n-1)d

where a is the first term of the series

thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d

_______________________________________

Given series

50, 100, 150, 200

a = 50

to find d lets use 3rd term as nth term and 2nd term as (n-1)th term

d = 150 -100 = 50

Thus,

nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n

50n can represent the position of the term of the sequence.

To validate this lets put n = 4

50*4 = 200 which is the same as the fourth term given in the series.

hence our solution is correct.

Answer:

-62

Step-by-step explanation:

Use BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) or use a calc.

-(2) + (12)(-5)

-2 + -60

-62

Answer:

Step-by-step explanation:

-(-(-2)) + ( -3)(-4)(-5) = -2 - (3*4*5)  = -2 - 60 = -62

In multiplication, count the number of negative. If number of negative is odd, the result will have negative sign

Answer:

f^-1(x) is - (x -3)/15

Step-by-step explanation:

f(x) = -15x + 3

To find f^-1(x) equate f(x) to y

That's

y = f(x)

Which is

y = -15x + 3

Next interchange the terms x becomes y and y becomes x

That's

x = - 15y + 3

Make y the subject

We have

-15y = x - 3

Divide both sides by - 15

We get

y = x-3/-15

y = - x - 3/15

Therefore f^-1(x) is - (x -3)/15

Hope this helps you

I'm sorry it took this lobg

Answer: C

Step-by-step explanation:

You are given a graph which is defined by f(x)=x^2+5|x|+6

Where the intercept of the graph is 6

Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.

Which are 2 and 3 or -2 and -3

Option C is therefore the best graph for the answer to the question.

Answer:

Domain are the values of x-coordinates

Range are the values of y-coordinates

Step-by-step explanation:

In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.

{(-2, 0), (0, 6), (2, 12), (4, 18)}

Domain: {-2, 0, 2, 4}.

Range: {0, 6, 12, 18}

Answer:

Domain- set of x-values

Range- set of y-values

Step-by-step explanation:

Domain

When finding the domain:

Range

How to find the range

Answer:

(5, 2)

Step-by-step explanation:

As 8x = 40

x = 40÷8

x = 5

This is the first solution

Then 4x + 4y = 28

We know that x = 5 as above

So let's substitute it:

4x + 4y = 28

(4 × 5) + 4y = 28

20 + 4y = 28

Let's get the 20 to other side

20 - 20 + 4y = 28 - 20

4y = 8

y = 8 ÷ 4

y = 2

Hence we get these two solutions

(5,2)

:-)

Answer:

Median = 13

Step-by-step explanation:

Arranging it in ascending order:

=> 2,4,6,10,13,13,14,16,20

Median is the middlemost no.

So,

=> Median = 13

Answer:

Step-by-step explanation:

18x+7y=-89   equation1

9x-9y=18       equation2

multiplying equation 2 by 2

2(9x-9y=18)    18x-18y=36   equation 3

subtacting equation 1 and 3

18x-18x+7y+18y=-89-36

25y=125

y=5

putting the values of y in equation1

18x+7(5)=-89

18x+35=-89

18x=-89-35

18x=-124

x=-6.8

Answer:

G(×)=2(2)^×.Q

Step-by-step explanation:

As per the function, they have different y-intercepts and different end behavior.

To compare with function f, we need to analyze its y-intercept and end behavior. If the y-intercept and end behavior of both functions are the same, the answer would be D. However, if they differ in either the y-intercept or the end behavior, the answer would be either A, B, or C.

The functions f and g have different y-intercepts since the y-intercept of g is 2, whereas the y-intercept of f would be the value of f(0) based on its graph. Additionally, they have different end behavior since function g approaches positive infinity as x increases, while function f appears to approach a horizontal asymptote.

Answer: C. They have different y-intercepts and different end behavior.

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Answer:

1) [tex]\boxed{x > 5}[/tex]

2) [tex]\boxed{x \geq -12}[/tex]

3) [tex]\boxed{x \leq -2}[/tex]

4) [tex]\boxed{x > 15}[/tex]

5) [tex]\boxed{x < -8}[/tex]

6) [tex]\boxed{x \geq -19}[/tex]

7) [tex]\boxed{x \geq 2}[/tex]

8) [tex]\boxed{x > 9}[/tex]

9) [tex]\boxed{ x \leq - 4}[/tex]

10) [tex]\boxed{x < 7}[/tex]

Step-by-step explanation:

1) [tex]2x-7 > 3[/tex]

Adding 7 to both sides

=> 2x > 3+7

=> 2x > 10

Dividing both sides by 2

=> x > 5

2) [tex]\frac{x}{4} + 11 \geq 8[/tex]

Subtracting 11 to both sides

[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]

Multiplying both sides by 4

x ≥ -3 * 4

x ≥ -12

3) -6x+7 ≥ 19

Subtracting 19 to both sides

=> -6x ≥ 19-7

=> -6x ≥ 12

Dividing both sides by -6

=> x ≤ -2

4) -10 + 4x > 50

Adding 10 to b.s

=> 4x > 50+10

=> 4x > 60

Dividing b.s by 4

=> x > 15

5) [tex]\frac{x}{-2} - 17 > -13[/tex]

[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]

=> x < 4*-2

=> x < -8

6) 8 - 2x ≤ 46

Subtracting 8 from b.s

=> -2x ≤ 46-8

=> -2x ≤ 38

Dividing b.s by -2

=> x ≥ -19

7) -13x+1 ≤ -25

Subtracting 1 from both sides

=> -13x ≤ -25-1

=> -13x ≤ -26

Dividing both sides by -13

=> x ≥ 2

8) [tex]-7 + \frac{x}{3} > -4[/tex]

Adding 7 to b.s

=> x/3 > -4+7

=> x/3 > 3

Multiplying 3 to b.s

=> x > 3*3

=> x > 9

9) -9x-19 ≥ 17

Adding 19 to both sides

=> -9x ≥ 17+19

=> -9x ≥ 36

Dividing both sides by -9

=> x ≤ -4

10) 16 - x > 9

Adding x to both sides

=> 16 > 9 + x

Subtracting 9 from both sides

=> 16 - 9 > x

=> 7 > x

OR

=> x < 7

NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.

Answers:

[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]

Step-by-step explanation:

2x - 7 > 3

2x > 10

x > 5

x/4 + 11 ≥ 8

x/4 ≥ -3

x ≥ -12

-6x + 7 ≥ 19

-6x ≥ 12

x ≤ -2

-10 + 4x > 50

4x > 60

x > 15

-x/2 - 17 > -13

-x/2 > 4

-x > 8

x < -8

8 - 2x ≤ 46

-2x ≤ 38

x ≥ -19

-13x + 1 ≤ -25

-13x ≤ -26

x ≥ 2

-7 + x/3 > -4

x/3 > 3

x > 9

-9x -19 ≥ 17

-9x ≥ 36

x ≤ -4

16 - x > 9

-x > -7

x < 7

Answer:

translation

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r

From the analysis above;

[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]

Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]

[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]

[tex]r = 4\ or\ r = 4[/tex]

Both values of r are the same;

Hence, the common ratio of the sequence is 4

Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words

Digit- dig, it 8

Mathematician- titanic, intact, manic, cat, math, … 346

Answer:

digit: 60

kindness: 10080

mathematician: 129729600

Step-by-step explanation:

sorry if this isn't right, and sorry I don't have an explanation but this worked for me.

Answer:

See below

Step-by-step explanation:

First, you need to find the slope of the given line.  You can do this by rearranging the equation so that it is  in slope-intercept form (y = mx + b).

-8x - 5y = -7

-5y = 8x - 7

y = -8/5x + 7/5

The slope of this line is -8/5.  

The slope of a line that is perpendicular will be the negative reciprocal.  You have to change the sign, and basically flip the numerator upside down.  The slope of the perpendicular line will be 5/8

-8/5 = 8/5 = 5/8

The slope of a line that is parallel will be equal.  This means that the slope will be -8/5.

oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy

Answer:

false; you divide the NUMERATOR by the denominator.

Answer:

A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.

Step-by-step explanation:

A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.

A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.

The only thing these shapes have in common is that they both have two pairs of parallel sides.

Answer:

C: 2 pairs of parallel side

Step-by-step explanation:

I got it correct in a quiz I did that had this question.

Answer:

27/30 18/20

Step-by-step explanation:

Answer:

solution,

<2=38°( being corresponding angles)

<4=<2( being vertically opposite angles)

=38°

About corresponding angles:

Please look the first one picture.

There,

<b is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other.They are called corresponding angle.A pair of corresponding angles made by a transversal with parallel lines is always equal.

About vertically opposite angles

please look the second one picture.

there,

<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles.Vertically opposite angles are always equal.

<AOC=<BOD

<AOD=<BOC

Hope this helps...

Good luck on your assignment..

Answer:

Given that,

Slope of line A=2/5

We know that , slope of perpendicular line is product of slopes.

i.e. M1 • M2=-1

[tex] m1 = \frac{2}{5} \: \: [/tex]

m2=?

Now,

[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]

Therefore, Slope of line B is -5/2.

Hope this helps..

Good luck on your assignment..