The data in the table show how long (in minutes, t) it takes several commuters to drive to work. Find the correlation coefficient and the equation of the best fit for the data. Treat the commute distance d as the independent variable.

Answer:

Step-by-step explanation:

huh the proper question

For a transformation like the one shown in the graph, note that the points have switched as follows;

This is a 90 degree anticlockwise rotation about the origin.

That means point P would now be translated as follows;

After this rotation, the coordinates have now moved from their position one unit upwards. That now makes the final coordinates;

Solution

Step 1

Two distinct lines intersecting each other at 90° or at right angles are perpendicular to each other.

Hence apply this to question 8 the type of lines shown in the figure is perpendicular lines. Option C

Step 2

To explain this as stated above line A and line B intersect each other at a right angle hence line A and B are perpendicular lines. The line segments are seen below.

D.

Since the median of the blue box is upper from the orange one we conclude that the median is higher in website A.

Therefore, the wrong statement is D.

Lets remember the property "alternative-interior angles" when we have parallels lines:

Given two paralles lines, the following is true:

In our question, we have:

We know that the angles J + P + K=180

So, the triangles have all the angles the same, so they are similar by angle-angle-angle, and they have one side congruent, AC=CD, so the triangles are congruents.

A 40% decrease represents subtraction.

So, the initial percentage is 100%, if it decreases by 40%, we get 60% as result.

We will determine the mean as follows:

So, the mean will be 6.

To solve this problem I'll use proportions.

2 1/8 cups ------------------------ 1/2 cup of chocolate.

x ----------------------- 1 cup od chocolate chips

x = (1*2 1/8) / 1/2

x = 17/8 / 2

x = 4 % cups of peanuts

Start the graph of h(x) = |x|, then stretch it vertically by a factor of 1/4 . Finally, shift it down by 2 units

The original graph can be seen above

what it becomes can be seen below

Hence the final answer is option B

We have to add all the annual expenses:

However, this quantity we obtained are the annual expenses, then, we have to divide them by the months of the academic year:

Answer: $2,666.22

The scale factor is basically by what we need to multiply the original to get the dilated one.

Simple.

We can see that the original one is Trapezoid WXYZ and the dilated one is W'X'Y'Z'.

THe dilated trapezoid is definitely bigger than original. So the scale factor should be larger than 1.

One side of original is "6" and the corresponding side of dilated trapezoid is "14".

So, what we have to do to "6", to get "14"??

This is the scale factor!

To get 14, we have to multiply 6 with, suppose, "x", so:

Hence, SF is 7/3

Every parallel line would have the same slope because the slope formula is Δy/Δx and the difference would be the same, so the slope for the line with the given points would be -1/6, or roughly 0.167.

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a fixed minimum distance between them and no contact or intersection are said to be parallel.

A line's steepness can be determined by looking at its slope. In mathematics, slope is determined by dividing the change in y by the change in x. Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Here the coordinates are (-6,0) and (0,-1)

ΔX = 0 – -6 = 6

ΔY = -1 – 0 = -1

Slope (m) =ΔY/ΔX

=-1/6

= -0.16666666666667

≈-0.167

The slope for the line with the given points would be -1/6, or roughly 0.167, because the slope formula is Δy/Δx and the difference would be the same for every parallel line.

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From the attached image;

The next step is to add 8 to both sides of the equation to remove -8.

Since we added to the equation.

The step is an addition property of equality

a.

Noah put marbles on a bag, each color marble represents that the battery of the toy died before 15 hours (red marbles) or that the battery lasted after 15 hours (green marbles)

There are 4 batteries on the toy, for each battery there are two possible outcomes, each one represented by a red and green marble.

So, for each battery, he has to put two marbles. There will be 4 red marbles and 4 green marbles in the bag.

b.

To estimate the probability that at least one battery will die within 15 hours, you have to calculate the expected value.

Solution

Step 1

Write the two functions:

Step 2

(f- g)(x) = f(g) - g(x)

Final answer

D. x² +3

First, let's write the expression below:

Since the expression contains the symbol "<=" (that is, "lesser than or equal to") between two terms, the complete expression is an inequality.

In order to solve this inequality for a given variable, we need to rewrite the inequality such as one side of the inequality has only the wanted variable.

For example, solving the inequality for b, we have:

Given-:

Function is:

Find-:

Expression by factoring

Explanation-:

Factoring the function is:

Factoring is:

b because 6 times the sum of r and 9 means 6(r+9)

SOLUTION

Mean=54.11, standard deviation = 12.59

X=48

Using the z formula

Substituting values gives

Solve for z

This shows that the result shows that the value x=48 is 0.4853 standard deviation to the left of the mean.

Answer:

2pi

Explanation:

By definition, 360 degrees are equal to 2π radians.

This follows from the fact that the circumference of a circle is 2π times the radius. Therefore, if radius = 1, then

circumference = 2π

Since the circumference is the distance around a circle, and degrees are the "angular distance " around the circle, these two quantities can be related.

So if you think of the circle in terms of the circumference, a circle measures 2π. If you think in terms of degrees, a circle measures 360 degrees.

Therefore, we say

360 degrees = 2π (radians)

1. If the cake rises by ¹/₃ as it bakes, the number of cups of cake batter needed for the four cakes is 140.

2. If ¹/₄ in. is used between layers and ¹/₂ in. is used on the top and sides, the number of cups of icing needed for the four cakes is 47.

The number of cups of cake batter and icing can be determined using the mathematical operations of multiplication, addition, division, and subtraction.

First, the volumes of each cake and its batter are calculated using the given dimensions and the rise.

Using the division operation, the number of cups of cake batter for each cake is determined and multiplied by four.

We understand that the normal volume of the cake will increase with the icing, helping us to calculate the increased volume after the icing.

The difference between the two volumes becomes the volume of the icing required, which is divided by 14.4 in³ to get the number of cups of icing required.

The volume of each cake = Length x Width x Height

Length = 14 inches

Width = 12 inches

Height = 4 inches (2 x 2)

= 12 x 14 x 4

= 672 in³.

Rise of the cake as it bakes =  ¹/₃

The normal volume before rising = 1

Risen volume = 1¹/₃

1¹/₃ = 672 in³

The normal volume of cake batter before the ¹/₃ rise = 504 in³ (672/1¹/₃).

1 cup = 14.4 in³, the total cups for each cake = 35 cups (504 in³/14.4 in³).

The total cups of cake batter for the 4 cakes = 140 cups (35 x 4).

The total quantity of icing = 1¹/₄ (¹/₄ + ¹/₂ + ¹/₂).

The new volume after the icing = 840 in³ (672 x 1¹/₄)

The difference in volume after the icing = 168 in³ in (840 in³ - 672 in³)

If 1 cup = 14.4 in³, the cups of icing for each cake = 11.67 cups (168 in³/14.4 in³).

The total cups of icing for the 4 cakes = 47 cups (11.67 x 4).

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Four double-layered cakes, each 12.0 in. x 14.0 in., have been ordered for a special event.  Each layer is 2.0 in. high.

a) If the cake rises by ¹/₃ as it bakes, how many cups of cake batter are needed? (1 cup = 14.4 in³.  Hint: The ¹/₃ rise should be treated as a constant.)

b) How many cups of icing are needed if ¹/₄ in. is used between layers and ¹/₂ in. is used on the top and sides? (Assume icing is not layered on top of the icing. 1 cup = 14.4 in³.)

Slope of g (x) : ZERO. The slope of any horizontal line is zero, 0.

Slope of f (x) :

let's take the points ( -4, 7) and (-2, 5) from the table

Answer: The slope of g (x ) is zero since it is a horizontal line while the slope of f (x) is -1. The slope of g(x) i greater than the slope of f(x).

A dime is 10% of a dollar = 10/100 x 100 cent = 10 cents

A quater is 25% of a dollar = 25/100 x 100 cent = 25 cents

Since Karen has 5 more quaters than dimes

let quaters = q

let dimes = d

Then Karen has 5q : d = $ 3.70

$ 3.70 = 3.70 x 100 cents = 370 cents

The completion of the statements about the number of students in Mr. Baker's class is as follows:

A prime number is a number divisible by itself and 1 only.

When a prime number is divided by another number except by itself and 1, there is always a remainder in the quotient.

Some examples of the prime numbers in Mr. Baker's class include 19, 23, 29, 31, or 37 students.

Thus, these numbers of students cannot be divided by another number without a remainder because they are prime numbers.

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1. The number of students in his class must be a --- number.

2. The quotient from the division of the students into equal-sized groups is .... because there must be a .....

We can replace x=20000 in the function so:

and we simplify:

now h=1 is the cost of one more item so we evaluate for 20001

So for h=1 will be :

The equation of a line given in slope-intercept form is written as

For two lines to be parallel, their slopes must equal to each other. Also for the two lines to be perpendicular, their slopes must be a negative inverse of each other. An example of negative inverse is given as;

The slope of the first line is 1, since the line is given as,

y = x - 8

(The coefficient of x is 1)

The slope of the second line is -1, since the line is given as,

y = -x + 8

(The coefficient of x is -1)

Therefore, since both slopes are not equal and not negative inverses of each other, then the correct answer is NEITHER.

The probability that 2 girls and 2 boys are selected is given by:

Therefore, the correct choice is option D) 3/7.

Given:

Using a graphing calculator, we have the graph shown below:

The point of intersection of the equations represents the solution to the system.

Hence, the solution to the system is:

x = 0.216

y = 0.646

B. Hexagonal Prism

1) One prism is defined, in terms of naming it by the base.

2) Counting the edges of the base in this net surface, we can tell that this is a Hexagonal Prism for the base is a hexagon.