how many ways can aileen choose 2 pizza toppings from a menu of 18 toppings if each topping can only be chosen once?

Answer:

25°

Step-by-step explanation:

look at the picture, that's the ans

Answer:

x = 25.4

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

139° is an exterior angle of the triangle, then

5x - 25 + 37 = 139

5x + 12 = 139 ( subtract 12 from both sides )

5x = 127 ( divide both sides by 5 )

x = 25.4

Answer: 1898-1971

Step-by-step explanation: find the difference between the years and divide it over the change in cost

1. difference of yrs. : 1971-1898 = 73

2. difference of cost : 6-1 = 5

3. divide : 73/5 = 14.6 (avg)

avg for #1) 14.6

avg of #2) 1

avg of #3) 2.1

avg of #4) approx. 0.55

A process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called arithmetic process.

The four basic operations of mathematics are addition, subtraction, multiplication and division. We call this group of four operations "arithmetic". Arithmetic is defined by the four most basic operations in mathematics. These four operations are the most basic, but that doesn't mean they're always easy to perform. In other words, arithmetic ranges from very simple things like 1 + 1 to very complex and complex things. It all depends on the context in which a person is working, but when we are dealing with one of the four operations of addition, subtraction, multiplication or division we are dealing with so-called arithmetic operations in mathematics.

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Complete question:

A process in which a number is changed, such as by adding, subtracting, dividing or multiplying is called:________.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{1}}} \implies \cfrac{ -1 }{ 7 } \implies - \cfrac{1 }{ 7 }[/tex]

The number of sides the polygon have 9.

A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.

Given:

We have a polygon can be divided into 5 triangles when the diagonals are drawn from one of its vertices.

As, we know  the number of triangles in a polygon is  = n−2

where n is the number of sides (or vertices)

So, the number of sides the polygon have

n= 5+ 2

n = 7 sides

Thus, the polygon is Heptagon.

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Answer:

C

Step-by-step explanation:

The spaces go F A C E. The note shown is C.

The probability of receiving two heads and one tail is 3/8, or 0.375.

One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.

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For given geometrical shape, The angles which we need to find are  ∠z=115° and y=21.

What are geometric shapes, exactly?

Geometric shapes are mathematical figures that reflect the shape of objects we see in our daily lives. Shapes are geometric shapes that have boundary lines, angles, and surfaces. There are several types of 2d and 3d shapes.

Shapes are also classified according to their regularity or homogeneity. A symmetrical regular form, such as a square or circle, is common. Asymmetry can take on irregular shapes. They're also referred to as organic forms or freeform shapes. A tree, for example, has an irregular or organic shape.

In plane geometry, two-dimensional forms are flat shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. In solid geometry, the three-dimensional shapes are the cube, cuboid, and sphere.

Now,

In given figure ∠z+65°=180°    (Sum of two interior angles)

then ∠z=115°

and ∠z=∠6y-11   (vertically opposite angles)

6y-11=115

6y=126

y=21

Hence,

           For given geometrical shape, ∠z=115° and y=21.

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a) (f ∘ g)(4) = 2

b) (g ∘ f)(4) = √2 + 5

c) (h ∘ g ∘ g)(-5) = 2 - 1/ (√(2√5) + 5)

d) (g ∘ f)(x) = √(x + 5) + 5.

e) (f ∘ g)(x) = √(√x + 5) + 5

f) (h ∘ f)(x) = 2 - 1/ (√x + 5)

What is Function?

A function is an expression or relationship that involves one or more variables. It has several inputs and outputs.

a) (f ∘ g)(4) means plugging in the value of 4 into g(x) and then plugging the result into f(x). So we have:

g(4) = √4 + 5 = √9 = 3

f(g(4)) = f(3) = √3 + 5 = 2

Therefore, (f ∘ g)(4) = 2.

b) b) (g ∘ f)(4) means plugging in the value of 4 into f(x) and then plugging the result into g(x). So we have:

f(4) = √4 = 2

g(f(4)) = g(2) = √2 + 5

Therefore, (g ∘ f)(4) = √2 + 5.

c) (h ∘ g ∘ g)(-5) means plugging in the value of -5 into g(x) twice, and then plugging the result into h(x). So we have:

g(-5) = √(-5) + 5 = √(20) = 2√5

g(g(-5)) = g(2√5) = √(2√5) + 5

h(g(g(-5))) = h(√(2√5) + 5) = 2 - 1/ (√(2√5) + 5)

Therefore, (h ∘ g ∘ g)(-5) = 2 - 1/ (√(2√5) + 5).

d) (g ∘ f)(x) means plugging in the function f(x) into g(x), which gives:

g(f(x)) = √(x + 5) + 5

Therefore, (g ∘ f)(x) = √(x + 5) + 5.

e) (f ∘ g)(x) means plugging in the function g(x) into f(x), which gives:

f(g(x)) = √(√x + 5) + 5

Therefore, (f ∘ g)(x) = √(√x + 5) + 5.

f) (h ∘ f)(x) means plugging in the function f(x) into h(x), which gives:

h(f(x)) = 2 - 1/ (√x + 5)

Therefore, (h ∘ f)(x) = 2 - 1/ (√x + 5).

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Answer:

1.25 laps per minute

Step-by-step explanation:

5 laps in 4 minutes so distance over time is equal to rate so

5/4=1.25

Answer:

Answer is Below ------v

1. clockwise

2. 3

1. (y, -x)

2. (3x,3y)

A 24.8% of babies have a head circumference greater than 14 inches.

The circumference of a circle is the length of the curved boundary or the perimeter of the circular shape. It is a measurement of the distance around the circle and is equal to the arc length of the circle if it were opened up and straightened out into a line segment. The circumference of a circle is related to its diameter by the formula: C = π * d

To calculate the percentage of babies with a head circumference greater than 14 inches, we need to find the area under the normal distribution curve to the right of 14 inches.

First, we need to convert 14 inches to the standard units (z-score). We can do that using the following formula:

z = (14 - 13.5) / 0.75 = 0.67

Next, we can use a standard normal distribution table to find the area to the right of z = 0.67. The value from the table is approximately 0.752.

Therefore, approximately 75.2% of babies have a head circumference less than or equal to 14 inches, and 24.8% of babies have a head circumference greater than 14 inches.

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130 estimated to the nearest integer is 130 itself as 130 itself is an integer.

Integers are numbers which includes the set of natural numbers, 0 and the negatives of all those natural numbers.

Set of integers are usually denoted as Z.

A number is normally rounded to the nearest integer when it is decimal.

First we have to look at the tenths place.

When the digit in the tenths place is 5 or numbers greater than 5, then increase digit in the ones place by 1.

If the digit in tenths place is less than 5, then leave the ones place as such.

Suppose that the number is 1.30.

Then the digit in tenths place is 3, less than 5. So leave the digit in one place which is 1, as such.

So 1.30 rounded to the nearest integer is 1.

Here 130 itself is an integer.

Hence 130 rounded to nearest integer is 130.

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The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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The length of the unknown side is 11.2ft

Using the Pythagorean theorem which states that the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

From the image shown,we have the parameters as;

Now, substitute the values, we have;

x² = 10² + 5²

Find the squares

x² = 100 + 25

Add the values

x ² = 125

Find the square root

x = 11.2 ft

Hence, the value is 11.2ft

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The probability of drawing a black card in a standard deck of 52 cards is 1/2.

Probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1. There are total 52 cards out of which 26 are black cards and 26 are red cards.

There are 26 black cards (13 spades and 13 clubs) in a standard deck of 52 cards.

Therefore, the probability of drawing a black card from a standard deck of 52 cards is 26/52.

Probability = 26/52 = 1/2

So, the probability of drawing a black card is 1/2.

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Answer:

A large container is a better deal because for a large container the amount of jam per dollar is greater thank that in the three smaller containers.

Step-by-step explanation:

What is the volume of a cylinder?

The volume of a cylinder is given by -

V[c] = πr²h

Given is Terrel who has to buy either one large jar or three small jars of jam. A small jar has a diameter of 6 cm, a height of 7 cm, and costs $4. A large jar has a diameter of 8 cm, a height of 16 cm, and costs $12.

For one large container, its volume will be -

V[L] = πr²h = 22/7 x 4 x 4 x 16 = 804.56 cm³

Amount of jam per dollar = V[1] = 804.56 / 12 = 67.04 cm³

For three small containers, the total volume will be -

V[S] = πr²h = {22/7 x 3 x 3 x 7} x 3 = 594 cm³

Amount of jam per dollar = V[2] = 594 / 12 = 49.5 cm³

It can be seen that for a large container the amount of jam per dollar is greater than that in the three small container. Hence, a big container would be a better deal for Terrell.

Therefore, a large container is a better deal because  for a large container the amount of jam per dollar is greater than that in the three small container.

Answer:

Step-by-step explanation:

buy one large jar has which has a diameter of 8 cm, and a height of 16 cm.

Type A: 5.45 per pound, Type B: 4.35 per pound. This month's mixture: We know that an is 5.45 per pound, so we divide  total cost  401.65 by 5.45 to get a result of 73.69 LB of Type A. 2B + A = 410.35 2(4.35) = 8.70 A + 8.70 = 410.35 A = 401.65.

Total cost is a term used in economics to describe the least expensive way to produce a specific amount of a good (TC). Fixed costs, which are unaffected by the quantity of a good produced and include inputs like buildings and machinery, possibly including sunk costs, and variable costs, which change with the quantity of a good produced and include inputs like labor and raw materials, make up the total economic cost of production. Economics considers the total potential cost of each manufacturing item as one of the total cost's fixed or variable costs.

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Answer: Look below :)

Step-by-step explanation:

I graphed the inequality below:

from that we can see:

a. Points on the line are combinations of US/Mexico minutes he can do where all of his prepaid money will be used, For example, he could do 50 USA minutes and 80 Mexico minutes, and there would be no money left to spend

b. Points above the line are combinations of US/Mexico minutes that will cost him more than the prepaid $50.

c. Points below the line are combinations of US/Mexico minutes that will leave him with money left over from his $50.

I hope this makes sense! ask questions if you have any :)

Answer: 90 miles in 180 minutes

Step-by-step explanation: Since 90 minutes is two times 45, there would be 2 miles in one minute. Then, you multiply 2 times 45 so therefore you get 90 miles in 180 minutes.

Answer:

$115

Step-by-step explanation:

12 + 11 = 23

There are 23 students in the class.

Cost of supplies: $5 per student.

total cost = 23 × $5 = $115

The total cost to purchase the supplies is,

⇒ $115

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

There are 12 girls and 11 boys registered for the class.

And, You need to purchase supplies that will cost $5 per student.

Here, Total students = 12 + 11 = 23

Hence, The total cost to purchase the supplies is,

⇒ 23 x $5

⇒ $115

Thus, The total cost to purchase the supplies is,

⇒ $115

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Option D (x, y)→ (-2x, 2y) is the transformation that maps triangle UVW to triangle EFG.

In mathematics, a transformation refers to a process of changing the position, size, or orientation of a geometric shape. It is a fundamental concept in geometry, algebra, and other branches of mathematics that studies the properties of objects and their relationship with space.

Transformations can be classified into two main types: rigid and non-rigid transformations. Rigid transformations preserve the size and shape of the object while changing its position and orientation. Common examples of rigid transformations are translations, rotations, and reflections. Non-rigid transformations, on the other hand, change the size and shape of the object as well as its position and orientation.

Transformations are used in various areas of mathematics and science, such as computer graphics, physics, and engineering. They are also important in real-world applications, such as in designing and modeling objects, analyzing data, and solving practical problems.

The transformation involves a reflection across the y-axis (multiplication by -1 on the x-coordinate) and a dilation by a factor of 2 in the y-direction (multiplication by 2 on the y-coordinate).

Applying this transformation to the coordinates of triangle UVW:

(0, -2) -> (0, -4)

(2, 0) -> (-4, 0)

(-2, 2) -> (4, 4)

These transformed coordinates match the coordinates of triangle EFG, so option D is the correct answer.

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Dilation in coordinate geometry refers to the process of increasing or stretching the size of the originally drawn geometrical figure to a new figure by multiplying the co-ordinates of the original figure with a scale factor and obtain new co-ordinates to plot and form on the graph.

In the given figure, we observe that the original co-ordinates of the logo drew by Tyrone are:

A (-2,0) ; B (-2,3) ; C(2,2) ; D(2,-1)

From the graph, we see that the co-ordinates are multiplied by a scale factor of 5/2 and hence turn to new co-ordinates:

A'(-5,0) ; B'(-5, 15/2); C'(5,5) ; D'(5, -5/2)

Thus, we see that the rule followed to form the dilation of the logo on the coordinate plane was (5/2x, 5/2y).

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For the digits -5/4, -2 1/2, and -0.1, the correct inequality is -

Option D: -0.1 > -5/4 > -2 1/2

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The values for the inequality are -

A fractional number = -5/4

A mixed fractional number = -2 1/2

A decimal number -0.1

Convert the fraction number into decimal value using arithmetic operation of division -

-5/4 = -1.25

Convert the mixed fraction number into decimal value using arithmetic operation of multiplication and division -

-2 1/2 = -5/2 = -2.5

Here the greatest value is -0.1.

Then the second greatest value is -1.25 or -5/4.

The lowest value is -2.5 or -2 1/2.

So, the inequality obtained is = -0.1 > -5/4 > -2 1/2

Therefore, the inequality is -0.1 > -5/4 > -2 1/2.

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Answer:

Below

Step-by-step explanation:

Go to   x = 1 on the x axis number line.....go UP to where the graph crosses x = 1  to find   y = 1    <====this is your answer for f(1)

for f(-)   go to x = 3 then go UP to the graph crossing at y = 1   <--answer

The area of the semi circle is 14.13 units²

a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.

The area of a semicircle is the half of the area of a full circle.

The area of a full circle is πr², therefore the area of a semicircle is ½πr²

r = d/2 = 6/2 = 3

A = ½πr²

= 1/2 × 3.14 × 3²

A = 28.26/2

A = 14.13 units²

therefore the area of the semi circle is 14.13 units²

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