PLEASE ANSWER, FIRST WILL GET A BRAINLIEST, + 2 THANKS (Teaser) An angle that measures 6° is drawn on a piece of paper. You are looking at the angle through a×6 magnifying glass, which means it magnifies by a factor of 6. What is the measure of the angle you see on the paper when you look through the magnifying glass?

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:

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:

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:

translation

Step-by-step explanation:

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

Answer:

The required graph is shown below.

Step-by-step explanation:

The given equation is

[tex]4x-3y=12[/tex]

To draw the graph we need at least two points which satisfy the given equation.

At x=0,

[tex]4(0)-3y=12[/tex]

[tex]-3y=12[/tex]

[tex]y=\dfrac{12}{-3}[/tex]

[tex]y=-4[/tex]

At y=0,

[tex]4x-3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.

The required graph is shown below.

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.

Hey there! :)

Answer:

[tex]g^{-1} (g(10))=10[/tex]

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]

[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]

Simplify:

[tex]g^{-1} (24)=\frac{30}{3}[/tex]

[tex]g^{-1} (24)=10[/tex]

Answer:

27/30 18/20

Step-by-step explanation:

I'm sorry it took this lobg

Answer:

A

Step-by-step explanation:

it's so obvious like how sas is it this is because pretenders are worse

Similar triangles may or may not be congruent

The true statement is (a) Similar - AA

From the complete question, we have the following highlights about the triangles

This means that the triangles are similar.

The similarity theorem is the AA theorem i.e. Angle-Angle

Hence, the true statement is (a) Similar - AA

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

14/15

Step-by-step explanation:

-4/5 × -7/6

Multiply numerator with numerator and denominator with denominator.

(-4×-7)/(5×6)

28/30

Simplify.

14/15

Answer:

[tex] \frac{14}{15} [/tex]

solution,

[tex] \frac{ - 4}{5} \times \frac{ - 7}{6} \\ = \frac{ - 4 \times ( - 7)}{5 \times 6} \\ = \frac{28}{30} [/tex]

divide 28 and 30 by 2 ,you will get:

[tex] \frac{14}{15} [/tex]

hope this helps..

Good luck on your assignment..

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:

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: 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:

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.

To know more about graph here

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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! ❤︎

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:

I believe it is 12

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

Sry if its not :/

Answer:

-6

Step-by-step explanation:

Answer: 1.5cm

Step-by-step explanation:

12-9=3 because it is midpoint 3/2=1.5

Answer:

x = √3

y = 1

Step-by-step explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

                                 x

sin 60 degrees = ----------

                                  2

and so side x is equal to  2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

                                                     3   + y^2 = 4, and so

                                                              y^2 = 1

so side y has length 1

x = √3

y = 1

Answer:

C) quadrilateral, parallelogram, rectangle

Step-by-step explanation:

The figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.

All rectangles are parallelograms, because the two opposite sides of a rectangle are parallel.  

Option C should be the correct answer.

Based on the shape and the available option, the possible names for a figure here is the quadrilateral, parallelogram, rectangle

Quadrilateral is a type of shape that is closed shape and a type of polygon that has four sides, four vertices, and four angles.

Generally, a Quadrilateral is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.

In this case, the figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.

All rectangles are parallelograms because the two opposite sides of a rectangle are parallel.

Hence, in this case, it is concluded that the correct answer is option C. quadrilateral, parallelogram, rectangle

Learn more about Different Shapes here: https://brainly.com/question/28008161

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Answer:

B.) False

Step-by-step explanation:

A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.

Hope this helps you out! : )

The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.

A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:

Regular polygon cannot overlap.

Regular polygon cannot have space between them.

The patterns are created by rotating, translating, or reflecting the shapes.

Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.

Learn more about regular tessellation here:

https://brainly.com/question/12926513

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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

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:

-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:

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

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..