The amount of money, y, pizzeria W
makes by selling x pizzas can be modeled
by the equation y = 12x. The relationship
of the amount of money pizzeria J makes
is shown in the following graph. Which
pizzeria makes more money per pizza?

Choose the correct answer below.
--

A. Pizzeria W makes more money per pizza.
B. Pizzeria J makes more money per pizza.
C. They make the same amount per pizza.

The required equation of the vertical line is x=5 and the horizontal line is y=2 when passing through the point (5,2).

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. A linear equation has the algebraic form y=mx+b, where m and b are constants, x is the independent variable, and y is the dependent variable. A linear equation is stated in statistical terms as y=a+bx, where a and b are constants. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane.

Here,

As the coordinate is (5,2),

The vertical line is x=5

The horizontal line is y=2

When passing through the point (5,2), the vertical line's required equation is x=5, and the horizontal line's required equation is y=2.

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Answer:

Step-by-step explanation:

4, 9, 0, 1,1, 2, 0, 0, 2, 8, 8, 3, 1.

Arrange in ascending order:

0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 8, 8, 9.

The median = middle value = 2.

Lower quartile = 0.5

Upper quartile = 6.

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles \(a\) and \(b\).

\(a + b +90 = 180\)

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

\(a = 2(b-12)\)

Now we have two equations. If we simplify them, we get these:

\(\left \{ {{a=90-b} \atop {a=2b-24}} \right.\)

Now you can substitute \(a\) in the first equation for \(a\) in the second equation

\(90-b=2b-24\)

Add \(b\) to both sides of the equation

\(90 = 3b-24\)

Add \(24\) to both sides

\(114 = 3b\)

Divide both sides by 3

\(38 = b\)

Now, you can substitute \(38\) for \(b\) in the first equation and simplify.

\(a = 90-38\)

\(a=52\)

Therefore,

\(a=52\), and \(b=38\)

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The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

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Considering their slopes, these two lines, Line 1 and Line 2, are perpendicular.

The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:

In this problem, the slopes are given as follows:

The multiplication is given by:

3 x -1/3 = -1.

Hence they are perpendicular.

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The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

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The fraction of the grapes Bob eat 13/14 of the grapes in his lunch.

The fraction of grapes that Bob eat, to the total number of grapes he had and subtract the number of grapes he eat.

Bob packed twenty grapes and a pear in his lunch,

so he had a total of 20 + 1 = 21 items in his lunch.

He eat thirteen grapes and the pear,

which means he consumed a total of 13 + 1 = 14 items.

To calculate the fraction of grapes he eat, divide the number of grapes he ate (13) by the total number of items he consumed (14),

Fraction of grapes Bob ate = 13/14.

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Answer:

8

Step-by-step explanation:

y = 2x^2 -10

Let x = -3

y = 2( -3)^2 -10

y = 2 (9) -10

y = 18-10

y = 8

Answer:

4 blocks down, 2 left

Step-by-step explanation:

The Simplification of 2x +26

simplify:

4(× + 5) - 2(x - 3)

4x + 20 - 2x +6

2x +26

Making something simpler is making it less intricate or crowded. When you describe a complex mathematical idea to a youngster in words they can easily comprehend, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.

Making something simpler refers to making it simpler to accomplish or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers.

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IT IS THE THIRD ONE:

3+8.486

because I find it like that

A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

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Answer:

Angle y measures 130 degrees

Step-by-step explanation:

Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".

Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:

\(2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o\)

Now, we can find the actual value of these two angles, we use for example the first expression:

Top-right angle = \(2\,(16^o)+18^o=50^o\)

Now, if these two angles measure \(50^o\), then angle "y" (which is the supplementary angle (angle which added renders \(180^o\) )  for them, must equal \(180^o-50^o=130^o\)

Answer:

It's C. 130

Step-by-step explanation:

O just did the math and got it right on the test.

Answer:

A?

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

!

Answer:

-14

Step-by-step explanation:

(-6)(2) + (-8/4) =

-12 - 2 =

-14

Answer:

The answer is 6

Step-by-step explanation:

y=3

-3+y²

-3+(3)²

-3+6=6

We have counted all the edges in the graph and there are no additional edges, which justifies our answer of 195 edges.

Now, First, let's consider the number of edges in the complete graph formed by the first 16 vertices.

A complete graph of size n has n(n-1)/2 edges.

Therefore, the complete graph formed by the first 16 vertices has,

= (16 x 15)/2

= 120 edges.

Now, let's add the remaining vertices to this graph.

Each of the remaining 5 vertices in V17 - V21 is connected to each vertex in the first 16 vertices, except for the vertices in its own clique.

Therefore, each of the remaining vertices contributes 16-1 = 15 edges to the graph.

This gives us a total of 5×15 = 75 edges.

Therefore, the total number of edges in G is,

120 + 75 = 195.

To justify this answer, we need to show that there are no other edges in G besides the ones we have counted.

Since the graph is formed only by the two cliques and the edges between the cliques, we only need to check if there are any additional edges that connect vertices within the same clique.

However, we know that the first 16 vertices form a complete graph, which means that there are no additional edges that can be added between them.

Similarly, the last 11 vertices form a complete graph, which means that there are no additional edges that can be added between them.

Therefore, we have counted all the edges in the graph and there are no additional edges, which justifies our answer of 195 edges.

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Answer:

perpendicular  

Step-by-step explanation:

First we need to dtemine the slopes of the line

For line 1

L1: (-4, 6) (-3,-1)

m1 = y2-y1/x2-x1

m1= -1-6/-3+4

m1 = -7/1

m1 = -7

For line 2:

L2: (8,9) (15, 10)

m2  = 10-9/15-8

m2 = 1/8

Take their product

m1 * m2 = -7 * 1/7

m1m2 = -1

Since the product of their slopes is -1, hence they are perpendicular  

A relation ~ on R' is defined as a relation where (a,b) ~ (c,d) if and only if a3+b3=c3+d3. This relation is transitive but not symmetric.

Transitivity of the relation states that if (a, b) ~ (c,d) and (c, d) ~ (e, f) then (a, b) ~ (e, f). This means that if a3+b3=c3+d3 and c3+d3=e3+f3 then a3+b3=e3+f3, thus, the relation is transitive.

Symmetry of the relation means that if (a, b) ~ (c, d) then (c, d) ~ (a, b). This, however, does not hold in this relation since it is possible for a3+b3=c3+d3 and yet c3+d3≠a3+b3. For example, (1,2) ~ (8,4), this is true since 13+23=83+43, however, this does not mean that (8,4) ~ (1,2) since 83+43≠13+23. Therefore, this relation is not symmetric.

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The system of inequalities is y ≤ 32 - x and y ≥ (168 - 15x)/25.

Jordan is working for two summer jobs. The amount made per hour by walking dogs is $15. The amount made per hour by clearing tables is $25. Jordan can work for a maximum of 32 hours a week. He must earn at least $168.

The number of hours spent walking dogs is represented by "x". The number of hours spent clearing tables is represented by "y". The inequalities formed are :

x + y ≤ 32

15x + 25y ≥ 168

The graph of the common shaded region is attached below. The solutions lie in the first quadrant, where the region is shaded for both the inequalities.

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The statements that are true regarding triangle XYZ are XZ = 9√2 and YZ = 9

from the question, we have the following parameters that can be used in our computation:

XY = 9 cm

Also, we have the right triangle

The acute angle in the triangle is 45 degrees

This means that

XY = YZ = 9

It also means that

XZ = XY√2

So, we have

XZ = 9√2

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The number of respondents needed in a poll to adequately represent a larger population depends on several factors, such as the size of the population, the level of confidence desired, and the margin of error tolerated.

The general rule of thumb is that a sample size of at least 400 respondents is needed to provide a representative sample for a population of 100,000 or less. However, for larger populations, a sample size of at least 1,000 respondents may be required.

It is also important to note that a larger sample size does not always guarantee more accurate results. Other factors such as the sampling method, the wording of the questions, and the response rate can also impact the accuracy of poll results. Therefore, it is essential to carefully design and conduct polls to ensure their results are adequately representative of the larger population.

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Answer:

20%

Step-by-step explanation:

35/175=x/100

35 divided by 1.75/ 175 divided by 1.75 =x/100

20/100=x/100

20=x

or

35/175=.2

.2= 20 %

Answer: 20%

Step-by-step explanation: hope this helps

Here, we want to evaluate the given expression. Multiply the numbers in the denominator to get a single number. Then proceed to divide the numerator by the single number

We proceed as follows;

The graph of G(x) is the graph of F(x) compressed vertically.

The equation of the graph of F(x) is given by x^2 and that of G(x) is given by 4/5 x^2.

The coefficient of x^2 in the equation of G(x) is 4/5, which is smaller than the coefficient of x^2 in the equation of F(x), which is 1.

This means that for a given value of x, the value of G(x) will always be less than the value of F(x). In other words, the graph of G(x) will be closer to the x-axis compared to the graph of F(x), which is equivalent to compressing the graph of F(x) vertically.

Therefore, the statement that best compares the graph of G(x) with the graph of F(x) is "The graph of G(x) is the graph of F(x) compressed vertically".

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Suppose that F(x) = x^2 and G(x) =4/5x^2 Which statement best compares the graph of G(x) with the graph of F(x)? The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis. The graph of G(x) is the graph of F(x) stretched vertically. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis. The graph of G(x) is the graph of F(x) compressed vertically.

The Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

A hemisphere is half of a sphere. Thus, the volume of a hemisphere is given as: V = = (2/3)πr³, where r is the radius of the hemisphere.

Surface area of a hemisphere is given as, SA = 2πr²

Given the following:

Volume of hemisphere = 30 cm³

i. Radius (r) of the container = radius of the hemisphere

2πr² = 30

r² = 30/2π

r² = 4.8

r ≈ 2.2 cm

ii. Surface area of the container that is in contact with the lip balm = surface area of hemisphere = 2πr²

Surface area = 2(3.14)(2.2²)

Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

In summary:

i. The radius of the container is 2.2 cm

ii. The surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.

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