The table shows Adam's age and shoe size. Generate a linear regression equation for the data. Then, use the equation to predict Adam's shoe size when he is 14-years-old.

Answer:

Step-by-step explanation:

Domain = Range = (19,77,10,9\5,0,100)

The required equation would be y = 48x which describes the relationship between distance and time, where x is for the time in hours and y is for the distance in miles.

Car X travels 144 miles in 3 hours.

X represents the time in hours and y represents the distance in miles.

Move 3 units to the right of the origin using the slope and

144 unit(s) up to locate the spot

(3,144), which may be used to plot the connection.

Let the required linear equation be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 0

x₂ = 3, y₂ = 144

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 0 = (144 - 0)/(3 -0 )[x -0]

⇒ y = (144/3)x

⇒ y = 48x

Answer:

b + 32 = 76

Step-by-step explanation:

The total cost is 16 times greater than the number of hoodies, hence option A is correct.

What is the average cost of an item?

The average price of products and services is the average cost. The average of these numbers will provide the average cost price when we have a number of nearly identical things to sell or purchase. It facilitates the purchasing and selling procedure for store owners.

The average cost is calculated as the sum of all product costs divided by the total number of goods. The word "average" is also used in math. The term "mean of data" refers to the average of any given set of data. The average, however, is thought to be the appropriate term in corporate contexts where profit and loss are crucial elements.

Given that,

1 hoodie costs $16

2 hoodies cost $32

3 hoodies cost $48

4 hoodies cost $64

5 hoodies cost $80

Thus, the relation between total cost and the number of hoodies can be found be dividing the cost upon the number of hoodies

∴ The relation = $80/5

Hence, cost of a hoodie is $16

We can say that option A, the total cost is 16 times greater than the number of hoodies.

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The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer

Given the coordinate of the point as P (-24/145, 143/145)

This implies x = -24/145 and y =  143/145

To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).

opposite = 143/145, adjacent = -24/145

hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1

Using trigometric ratios:

sin θ =   (143/145) / 1 = 143/145    [sin θ = opposite/ hypotenuse]

cos θ =  (-24/145) / 1 = -24/145    [cos θ = adjacent/ hypotenuse]

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Answer:

(4,5)

Step-by-step explanation:

The coordinates of C are (-6, -4) if B is the midpoint of AC and the coordinates of A and B are (2, 8) and (-2, 2).

The midpoint of the line segment is what the term "midpoint theorem" in coordinate geometry refers to. You can determine it by averaging the coordinates of the specified endpoints, which defines the coordinate locations of the line segment's midway. In order to get the intersection of the two provided points, the midpoint formula is employed.

Given,

B is the midpoint of AC.

The coordinates of A are (2, 8)

The coordinates of B are (-2, 2)

Here,

We have to find the coordinates of C

We need check the options of C and find the midpoint of A and C

If we get the midpoint same as the coordinates of BC

Then our answer is correct.

First we have to check option A:

A(2, 8) and C(-6, -4)

Midpoint of B(x, y)=((x₁+x₂)/2  , (y₁+y₂)/2)

B(x, y)=((2-6)/2 ,  (8-4)/2)

=(-2, 2)

So, the coordinates of B are (-2, 2)

So, our choice is correct.

Therefore, the coordinates of C are (-6, -4)

Hence, option A is correct.

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Answer:

Hope the picture will help you

Answer:

slope is 7

Step-by-step explanation:

Answer:

116.25 0r 116.30

Step-by-step explanation:

To find the hourly rate, divide the pay by the number of hours

So 46.50/4 = 11.625

You should round that to 11.63

Then, multiply the hourly rate by the number of hours worked the next day.

So 11.63 x 10 = 116.30

Answer:

Inequality

a. x<=5

b. x>12

c. x<=-4

d. x>-6

Word Problems

6. x>65

7. x<90

8. x>985

9. x>12

Step-by-step explanation:

The equation of the line is  3x - 7y + 51 = 0.

What are Parallel Lines ?

Coplanar, parallel lines that don't cross at any point are called parallel lines. Planes in the same three-dimensional space that never cross each other are said to be parallel.

Since the required line is parallel to the line that passes through (4,9) and (-3,6).

So, The slope will be equal to :

   m  =  (y^2 - y^1) / (x^2 - x^1)

here, x^1 = 4, y^1 = 9, x^2 = -3 and y^2 = 6

∴ m =  (6 - 9) / (-3 - 4)

      = -3/-7

      = 3/7.

We know that, The equation of a line is (y - y^1) = m (x - x^1)

∴ The equation of the required line will be :

    y - 9 = 3/7 ( x - 4)

   7y - 63 = 3x - 12

   3x - 7y + 51 = 0.

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Answer:

14

Step-by-step explanation:

Since line MU = line MV, therefore line UV = 2 line MU.

Since line UL = line LT, therefore line UT = 2 line LT.

Now we know triangle MUL and triangle VUT are similar using SAS by a scale factor of 2. Since line TV is double the length of line ML.

Line TV 12*2 = 14.

Therefore line TV = 14.
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The volume of water in Tank C is 12800 ml.

Given that the group of students brought two tanks of water to clean the classroom.Tank A held 5,511 ml of water and Tank B held 7,275 ml of water and the water from both tanks was poured into Tank C which was empty.

It should be noted that the volume on tank C will be the addition of A and B volume. This will be calculated thus:

= Volume of A + Volume of B

= 5511 ml + 7275 ml

= 12786 ml

= 12800 ml to nearest hundred.

The volume is 12800 ml.

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Answer:

where is the question

Step-by-step explanation:

Please you need to write the full question so it can be answered

thanks

The number of pounds from one alloy is 2.71.

The number of pounds from another alloy is 39.29.

An equation is a mathematical statement of two expressions connected by an equal sign.

We have,

x = pounds from one alloy

y = pounds from the second alloy

Two equation.

28% of x + 59% of y = 30% of 42

0.28x + 0.59y = 0.30 x 42 ______(1)

x + y = 42 _____(2)

Now,

x = 42 - y ________ (3)

Putting (3) in (2)

0.28(42 - y) + 0.59y = 0.30 x 42

11.76 - 0.28y + 0.59y = 12.6

11.76 + 0.31y = 12.6

0.31y = 12.6 - 11.76

0.31y = 0.84

y = 2.71

Now,

x = 42 - y

x = 42 - 2.71

x = 39.29

Thus,

The number of pounds of each alloy is 2.71 and 39.29.

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The length of the racing venue after the increase of 5 % is 26.25 km

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the increased length of the racing venue be = A

Let the total length of the racing venue be = 25 km

The percentage increase in the length of the racing venue = 5 %

So , the equation will be

Increased length of the racing venue = total length of the racing venue + ( percentage increase in the length of the racing venue x total length )

Substituting the values in the equation , we get

Increased length of the racing venue = 25 + ( 5/100 ) x 25

Increased length of the racing venue = 25 + ( 5/4 )

Increased length of the racing venue = 25 + 1.25

Increased length of the racing venue = 26.25 km

Therefore , the value of A is 26.25 km

Hence ,

The length of the racing venue after the increase of 5 % is 26.25 km

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In the pair of numbers 64,4 and 16,2 the first number is a multiple of the second number.

A multiple in math are the numbers you get when you multiply a certain number by an integer.

Check whether the first number is a multiple of the second number

A) In the pair 64,4

64=16×4, yes 64 is multiple of 4

B) In the pair 29,3

Here, 29 is prime number

No, 29 is not a multiple of 3

C) In the pair 16,2

16=8×2, yes 16 is multiple of 2

D) In the pair 42,8

Here, 42=2×3×7 and 8=2×2×2

No, 42 is not multiple of 8

E) In the pair 31,7

Here, 31 is prime number

No, 31 is not a multiple of 7

Therefore, in the pair of 64,4 and 16,2 the first number is a multiple of the second number.

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The following class intervals should be utilized when making a histogram out of the data: 0 - 30, 30 - 55, 55 - 80, 80 - 105, and 105 - 130. B is the best choice.

To visually depict data, a histogram is utilized. The histogram is made up of rectangles with widths equal to the class interval and areas equal to the frequency of the data.

The intervals' widths must match. This implies that there must be an equal distance between the lower bound and the higher bound. Additionally, the lower bound of the subsequent interval's interval must match both its upper and lower bounds.

This means that the intervals must be overlapping. Of all the options, it is 0 – 30, 30 – 55, 55 – 80, 80 – 105, and 105 – 130 that satisfy both conditions.

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Answer:i do believe that it shall be D

Step-by-step explanation: 14 20 23 35 42 64 87 92 125 131 are the order so D can incase all of them

The required equation of the line is given as y = 5x -6.

To determine the equation of a line passing through the point (-4, -11) and perpendicular to the line 4x + 5y = -45.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the given line
4x + 5y = -45
y = -4/5 - 45
m = -4/5

The equation of the perpendicular line is given as,
y - y₁ = -1/m (x - x₁)
Substitute the value in the above equation,
y + 11 = -1 / -4/5  (x + 4)
y = 5/4(x + 4) - 11
y = 5x + 5 - 11
y = 5x -6

As a result, the needed equation for the line is y = 5x -6.

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Answer:

25,000 rent for 5 months

Step-by-step explanation:

The annual rent of a room in KTM is rs 60,000. Find the rent of 5 months.

60,000 / 12 = 5,000 rent per month

5,000 * 5 = 25,000 rent for 5 months

Answer:25,000 rent for 5 months

Step-by-step explanation:

The annual rent of a room in KTM is rs 60,000. Find the rent of 5 months.

60,000 / 12 = 5,000 rent per month

5,000 * 5 = 25,000 rent for 5 months

Step-by-step explanation:

The percentage of the boys in the survey who named football as their favourite sport is 60%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given as part of a survey, 200 boys were asked to name their favourite sport. The results showed that 120 of the boys names football as their favourite sport.

The percentage of boys who like football as their favourite sport will be calculated as,

Percentage = 120 / 200

Percentage = 0.6 x 100

Percentage = 60%

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Answer:

The area of the Plexiglas is given by the formula for the area of a rectangle, which is A = L * W, where L is the length and W is the width of the rectangle. In this case, the width is 5 centimeters shorter than the length, so we can represent it as W = L - 5. Substituting this expression for the width into the formula for the area, we get:

A = L * (L - 5)

This expression represents the area of the Plexiglas in terms of its length.

Picture 1 has 5 green squares.  It is one square with a square coming out from each corner.

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Answer:

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

Given expression:

Simplify it in below steps:

Answer:

4+(8×3x)+(8×(-2))-7x

4+24x-16-7x

4-16+24x-7x

-12+17x

or 17x-12

Answer:

-6/5

Step-by-step explanation:

you would find the difference between the ys and the XS then divide the product of those by [tex]\frac{y}{x}[/tex].

Answer:

708

Step-by-step explanation:

trust me