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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer: D. 5 choose 3

Step-by-step explanation:

The 'C' stands for Choose

and you read left to right, leaving you with "5 choose 3"

Answer:

above is the solution to the question

Answer:

It would be

-2+7x

Step-by-step explanation:

The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Answer:

Step-by-step explanation: Last one

Answer:

\(x\geq 6\)

Step-by-step explanation:

The last answer listed

There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Answer:

CD.

Step-by-step explanation:

The percentage of the people that were satisfied with the bus company's  performance is: B. 38.5%

Given the following data:

To determine the percentage of the people that were satisfied with the bus company's  performance:

In this exercise, you're required to find the number of the people that were satisfied with the bus company's  performance as a percentage of the total population in this survey.

Thus, we would use this formula:

\(Percentage = \frac{Satisfied\;people}{Population} \times 100\)

Substituting the given parameters into the formula, we have;

\(Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}\)

Percentage = 38.5%

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The coordinates of the midpoint are:

x = (A + C) / 2

y = (B + D) / 2

Where (A, B) and (C, D) are the coordinates of the points M and J.

The midpoint is the middle point of a line segment and it is equidistant from both endpoints.

We have,

M_______X_______J

MX : XJ = 1 : 1

The formula for finding the coordinates of the midpoint is:

x = (a + c ) / 2

y = ( b + d ) / 2

(x, y) = coordinates of the midpoint.

Where (a, b) and (c, d) are the coordinates of the two endpoints.

We can consider,

M = (A, B)

J = (C, D)

X = (x, y)

Thus the coordinates of the midpoint X are:

x = (A + C) / 2

y = (B + D) / 2

Where (A, B) and (C, D) are the coordinates of the points M and J.

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Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

Hope this helped :)

Answer:

11 hours babysitting

7 hours music lesson

Step-by-step explanation:

(11*5) + (7*12) = 139

Answer:

n + 18

Step-by-step explanation:

n + 18

Using the triple integral to find the volume of the solid bounded by the parabolic cylinder is 32/15 cubic units.

The given solid is bounded by the parabolic cylinder y = 2x², the plane z = 0, the plane z = 2, and the plane y = 4.

To find the volume of the solid using a triple integral, we can set up the integral as follows:

∫∫∫E dV

where E is the region of integration in three dimensions.

Region E can be described as:

0 ≤ z ≤ 2

0 ≤ y ≤ 4

0 ≤ x ≤ √(y/2)

Therefore, the triple integral can be written as:

∫0² ∫\(0^4\) ∫\(0^{\sqrt(y/2)}\) dx dy dz

Evaluating the integral gives us the volume of the solid:

V = ∫0² ∫\(0^4\) ∫\(0^{\sqrt(y/2)}\) dx dy dz = 32/15

Hence, the volume of the solid is 32/15 cubic units.

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Answer:

y = (1/2)x - 4

Step-by-step explanation:

every equation has a slope of (1/2)

Then we should only consider the passing through point.

y = (1/2)x - 4

R.H.S : (1/2)x - 4. (substitute x= 2)

= -3

= L.H.S

it is passing through point (2,-3)

The equation of the line is y = (1/2)x - 4.

The correct option is (A).

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

As per the given data:

We are given the slope of the line.

We are also given the point through which the line passes.

Slope of the line = 1/2

Point through which the line passes = (2, -3)

From the slope-intercept form, the equation of any line can be written as:

y = mx + c

where m is slope and c is the y intercept

m = 1/2

y = (1/2)x + c

Line passes through (2, -3)

-3 = (1/2) × 2 + c

c = -4

The equation of the line is y = (1/2)x - 4

Hence, the equation of the line is y = (1/2)x - 4

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Answer: A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is the correct answer for this equation, NOT A.

The general solution of the given differential equation is `2/5 y5/2 = x + C`, and the solution to the second equation is `\(y = ±\sqrt{(2(x^2/2 - (3/5)y^5 - y^2/2 + 17/50)).\)

The given differential equation is `dxdy=1−2x+y/2x−y`.We can obtain the general solution by finding a function `u(x, y)` whose total differential `du` is equal to the left side of the given differential equation.

Then we will be able to integrate `du` to obtain `u(x, y)`, which will implicitly define the solution to the given differential equation.We begin by finding `du`:

du=dx(y−2x+y)/(2x−y)−(1/2)x(−2x+y)/(2x−y)2dx(dy/2x−y)=dx(y2−2x+y)/(2x−y)dx(−2y−3y4)

= 0

Multiplying through by `dx` and dividing both sides by `−2y−3y4`, we have `dy/dx = y3/2`. Separating the variables and integrating, we get `2/5 y5/2 = x + C`, where `C` is the constant of integration. Thus, the solution to the differential equation is given implicitly by `2/5 y5/2 = x + C`. We can find the general solution of the differential equation `dxdy=1−2x+y/2x−y` by using the method of separation of variables. The general solution of a differential equation is an expression that contains a constant `C` which is determined by applying the initial or boundary conditions. Here's how we can solve the problem given in the question:For the first equation:We need to find a function `u(x, y)` whose total differential `du` is equal to the left side of the given differential equation. So, we have:

du=dx(y−2x+y)/(2x−y)−(1/2)x(−2x+y)/(2x−y)2dx(dy/2x−y)=dx(y2−2x+y)/(2x−y)dx(−2y−3y4)

= 0

Multiplying through by `dx` and dividing both sides by `−2y−3y4`, we get `dy/dx = y3/2`.

Separating the variables and integrating, we get `2/5 y5/2 = x + C`.

Thus, the solution to the differential equation is given implicitly by `2/5 y5/2 = x + C`.For the second equation:

We have `xdx/dy - 2y - 3\(y^4\)= 0` and `y(1) = 3`.

Let us separate the variables:

xdx = (3\(y^4\) + 2y)dy

Integrating both sides:

∫xdx = ∫(3y^4 + 2y)dy

\(x^2/2 = (3/5)y^5 + y^2/2 + C\)

\(y= ±\sqrt{(2(x^2/2 - (3/5)y^5 - y^2/2 - C))\)

We use the initial condition `y(1) = 3` to find the value of the constant `C`. Putting `x = 1` and `y = 3`, we have:`

\(3 = ±\sqrt{(2/5 - C)\)

Squaring both sides and simplifying, we get:`C = -17/50`Hence, the solution to the differential equation is `

\(y= ±\sqrt{(2(x^2/2 - (3/5)y^5 - y^2/2 - C))\)

Thus, the general solution of the given differential equation is `2/5 y5/2 = x + C`, and the solution to the second equation is `\(y = ±\sqrt{(2(x^2/2 - (3/5)y^5 - y^2/2 + 17/50))\).

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9514 1404 393

Answer:

  12^18

Step-by-step explanation:

Each exponent tells you the number of times 12 is repeated as a factor. The total number of repetitions of 12 as a factor in this product is ...

  3 +9 +4 +2 = 18

The equivalent expression is 12¹⁸.

The sides of a regular polygon are equal.

The new polygon has 9 sides.

From the question, we understand that;

The octagon and the equilateral triangle are joined together.

When both shapes are joined, they both lose one sides, each.

This means that, the octagon becomes 7-sided, while the triangle becomes 2-sided.

So, the number of sides (n) of the resulting shape is:

\(n = 7 + 2\)

\(n = 9\)

Hence, the shape has 9 sides.

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According to the information, the average will not adequately show the growth of the area covered by mold.

To identify how well does the average rate of change describe how the mold changes for these 6 days we must carefully observe the data in the table and draw a conclusion.

As we can see, the value of the area covered by mold doubles every day. From the foregoing, we can infer that an average will not correctly express this change because it expresses a general value over all days that does not reflect growth.

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The sum of the areas of the two segments defined by the chords AB and CD in the circle is 18π - 36.

To find the sum of the areas of the two segments defined by the chords AB and CD in a circle, we need to calculate the areas of each segment separately and then add them together.

First, let's determine the radius of the circle. Since we are given the lengths of the chords AB and CD, we can use the following formula:

r = (1/2) * AB * CD / sqrt((AB/2)^2 + r^2)

We know that AB = 8 and CD = 6, so let's substitute those values into the formula: r = (1/2) * 8 * 6 / sqrt((8/2)^2 + r^2)

r = 24 / sqrt(16 + r^2)

To solve this equation for r, we can square both sides:

r^2 = (24 / sqrt(16 + r^2))^2

r^2 = 576 / 16

r = 6

Now that we have the radius of the circle, we can calculate the angles subtended by the arcs AB and CD. We are given that the total scale of the two arcs is 180 degrees, so each arc subtends an angle of 180 degrees / 2 = 90 degrees.

To find the area of each segment, we can use the formula:

Segment Area = (θ/360) * π * r^2 - (1/2) * r^2 * sin(θ)

For the segment defined by the chord AB: θ = 90 degrees

Segment Area_AB = (90/360) * π * (6^2) - (1/2) * (6^2) * sin(90)

Segment Area_AB = 9π - 18

For the segment defined by the chord CD: θ = 90 degrees

Segment Area_CD = (90/360) * π * (6^2) - (1/2) * (6^2) * sin(90)

Segment Area_CD = 9π - 18

Now we can find the sum of the areas of the two segments:

Sum of Segments Area = Segment Area_AB + Segment Area_CD

Sum of Segments Area = (9π - 18) + (9π - 18)

Sum of Segments Area = 18π - 36. Therefore, the sum of the areas of the two segments is 18π - 36.

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Answer:

68 cookies

Step-by-step explanation:

The reflected coordinates are: A' = (-3, -4) and B' = (-6, 5). To reflect a point in the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

To reflect a point in the x-axis, we imagine a mirror placed horizontally at the x-axis. The reflection of the point occurs by flipping it across the x-axis. This means that the x-coordinate remains the same, but the sign of the y-coordinate changes.

Let's consider point A with coordinates (-3, 4). To reflect point A in the x-axis, we keep the x-coordinate (-3) the same, but change the sign of the y-coordinate (4) to -4. So, the reflected point A' is (-3, -4).

Now, let's move on to reflecting point B in the y-axis. This time, we imagine a mirror placed vertically at the y-axis. The reflection of the point occurs by flipping it across the y-axis. This means that the y-coordinate remains the same, but the sign of the x-coordinate changes.

Point B has coordinates (6, 5). To reflect point B in the y-axis, we keep the y-coordinate (5) the same, but change the sign of the x-coordinate (6) to -6. So, the reflected point B' is (-6, 5).

The reflection of point A (-3, 4) in the x-axis is A' (-3, -4).

The reflection of point B (6, 5) in the y-axis is B' (-6, 5).

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Answer: 2 (x + y) = 29

2 (x + y - 2) = 25

y = 29/2 - x

Expanded forms:

2 x + 2 y - 4 = 25

2 x + 2 y - 29 = 0

Real solution:

y = 29/2 - x

Solution:

y = 29/2 - x

Solution for the variable y:

y = 1/2 (29 - 2 x)

Step-by-step explanation:

hope its helpss

Answer:

  1260 W

Step-by-step explanation:

You want the power supplied by a 300 V source at a current of 4.2 amperes.

The source power being supplied is the product of its voltage and current:

  P = VI

  P = (300 V)(4.2 A) = 1260 W

The circuit is consuming 1260 watts.