Find the missing values of the kite

There were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

Pizza is a dish of Italian origin consisting of a usually round, flat base of leavened wheat-based dough topped with tomatoes, cheese, and often various other ingredients, which is then baked at a high temperature, traditionally in a wood-fired oven. A small pizza is sometimes called a pizzetta.

Calculation of the each kind of pizzas:

Let us assume the number of pepperoni pizzas be x

So,

pepperoni = x

veggie = x - 8

combo = 3x  

Since

The total Pizza is 112

So,

x + x - 8 + 3x = 112

5x - 8 = 112

5x = 112 + 8

5x = 120

x = 24

Now

x - 8 = 16

3x = 72

There were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

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Answer:

the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2 are (0, -4).

Step-by-step explanation:

To find the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2, we can use the following formula:

P = ( (2bx + 3ax)/(2+3) , (2by + 3ay)/(2+3) )

where P is the point we are looking for, (ax, ay) and (bx, by) are the coordinates of the two endpoints of the line segment, and the numbers 2 and 3 represent the ratio in which the line segment is to be divided.

Substituting the given values, we get:

P = ( (29 + 3(-6))/(2+3) , (2*(-7) + 3*(-2))/(2+3) )

= ( (18 - 18)/5 , (-14 - 6)/5 )

= ( 0, -4 )

Therefore, the coordinates of the point that partitions the directed line segment from (-6,-2) to (9,-7) into a ratio of 3 to 2 are (0, -4).

The length of segment WX is given as follows:

8.5 units.

Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment WX is obtained as follows:

WX = sqrt((-1 - 5)² + (-9 - (-3))²)

WX = 8.5 units.

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The average read speed is defined as the rate at which a person can read and comprehend written text

The average read speed refers to the rate at which a person can read and comprehend written text. This is typically measured in words per minute (wpm). According to studies, the average reading speed for adults is around 200 to 300 wpm, although this can vary depending on factors such as reading proficiency, familiarity with the material, and reading conditions.

Factors that can affect reading speed include:

Word length and complexity: Longer and more complex words can slow down reading speed.

Font size and style: Smaller fonts and difficult-to-read styles can also slow down reading.

Reading experience: Frequent readers tend to have higher reading speeds than occasional readers.

Comprehension level: Reading speed can decrease if the reader is trying to understand difficult or technical material.

It's important to note that while reading speed is a useful metric, it's not always the most important factor in reading. Comprehension and retention of the material are also crucial, so it's important to find a balance between reading speed and comprehension.

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This type of scientific experiment is commonly used in microbiology and is called a bacterial culture or bacterial colony.

The scientist likely used a sterile nutrient-rich medium in a petri dish to create an environment in which the bacteria could grow and reproduce. By observing the growth and behavior of the bacteria in the colony, the scientist can study various aspects of bacterial biology, such as metabolism, genetics, and response to environmental conditions. Bacterial cultures can also be used in medical and industrial settings to produce antibiotics, vaccines, and other products.

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The converted values of 139 pounds to kilograms in standard form is equal to 63.0493 kilograms.

Scale factor used to convert pounds to kilograms is equal to :

One pounds is equal to 0.453592 kilograms.

Now convert pounds to kilogram by substituting the value in standard form we get,

⇒ 139 pounds = ( 139 ) multiply to ( 0.453592 ) kilograms

⇒ 139 pounds =  139 × 0.453592  kilograms

⇒ 139 pounds =  63.049288 kilograms

⇒ 139 pounds =  63.0493 kilograms

Therefore, the using standard scale factor to convert 139 pounds to kilograms is equal to 63.0493 kilograms.

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Answer:

The answer is $11.60

Step-by-step explanation:

Using the volume formula the number of cubic inches of hot chocolate needed to completely fill the thermos is 192π.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The formula to find the volume of a cylinder is -

Volume = πr²h

where π is pi (approximately 3.14159), r is the radius of the base of the cylinder, and h is the height of the cylinder.

In this case, the radius of the cylinder is given as 4 inches and the height is given as 12 inches.

So we can use the formula above to find the volume of the thermos -

Volume of thermos = π x (4 inches)² x 12 inches

= π x 16 square inches x 12 inches

= 192π cubic inches

Therefore, volume for thermos is 192π.

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Answer:

Below

Step-by-step explanation:

Similar triangles due to A - A - A

Set up ratios

QR is to RS   as  QP is to TS

(x+2) / (2x-5) = 3/5       Cross multiply to get

5x+10 = 6x-15               subtract 5x from both sides of the equation

10 = x - 15                     add 15 to both sides

25 = x

Looking at z table you can find the probability = 0.8643.

Describe Probability?

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place. A certain occurrence has a chance of 1, while an impossible event has a probability of 0. The odds of two complementing events A and B happening, either A happens or B happens, sum up to 1.

Probability that bulb will last at most 610 hours is same as bulb 1-probability that bulb will last more than 610 hours. Any way we can find the probability.

Pr <= 610 hours

Using Z statistic,

610-580/(900)^1/2 = 33/30 = 1.10

So we have z value = 1.10

Now looking at z table you can find the probability,

= 0.8643

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The decimal equivalent of 5/3 is 1.666666667.

When we write a decimal, we use a decimal point to separate the whole number part from the fractional part.

The digits to the right of the decimal point represent fractions of a whole. The decimal 0.25 represents 25/100 or 1/4, while the decimal 0.5 represents 50/100 or 1/2.

In general, we can convert any fraction to a decimal by dividing the numerator by the denominator.

To convert 5/3 to a decimal, we need to divide 5 by 3. When we perform this division, we get 1.666666667. This is a repeating decimal, meaning that the number 6 repeats indefinitely after the decimal point.

In general, whenever you divide one integer by another, you will either get a finite decimal (like 0.5 or 0.75) or a repeating decimal (like 0.3333 or 0.142857). In some cases, the decimal may terminate, meaning that it stops after a certain number of decimal places. For example, 1/4 is equal to 0.25, which is a terminating decimal.

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The solution of the matrix in vector form is [-13 3 -3 4]

The given matrix equation is Ax = b, where A is a matrix with 1 row and 4 columns, and b is a matrix with 1 row and 3 columns

In this case, the augmented matrix is a 5x4 matrix, with the first 4 columns being A and the last column being b. The augmented matrix for this system is then:

=> [tex]\left[\begin{array}{ccc}1&2& 3\\3& 5 &2 \\-4 &2 &5 \\-13 &11 &8\end{array}\right][/tex]

To solve the system, we can use Gaussian elimination, which is a method of solving a system of linear equations by transforming the augmented matrix into a row-echelon form.

After applying Gaussian elimination to the augmented matrix, we get the following row-echelon form:

=> [tex]\left[\begin{array}{ccc}1& 0& 0 \\-1& 0 &-3 \\-3& 0& 4 \end{array}\right][/tex]

We can then find the solution of the system by back-substitution:

=> x₁ = -13, x₂ = 3, x₃ = -3, and x₄ = 4.

Therefore, the solution of the linear system is x = [-13 3 -3 4]

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When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

Geometry is a branch of mathematics that deals with the study of spatial relationships and properties of shapes, sizes, positions, and dimensions of objects. It is concerned with points, lines, angles, curves, surfaces, and solids in both two and three-dimensional space. Geometry has practical applications in fields such as engineering, architecture, computer graphics, and physics. It is also a fundamental part of mathematical education, helping students develop skills such as logical reasoning, problem-solving, and spatial visualization. Finally, geometry has a rich history, dating back to ancient civilizations such as the Greeks, Egyptians, and Babylonians.

When rotated about its center, a regular hexagon has 6 rotational symmetries. In addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry, where each line passes through a vertex and the midpoint of the opposite side.

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Answer: A=77  B=103   C=90  D=90  E=103   F=77   G=77

Note: This may not be right.

Step-by-step explanation:

Answer:  

Step-by-step explanation: To fidn the median I think you add all multiply by how many numbers you have and then divide I think PLS HELP MY QUESTION.

Exponential functions are mathematical functions that involve an exponent or power. There are two types of exponential functions: growth and decay.

1. Exponential Growth Functions: These functions have the form y = a*b^x, where a > 0 and b > 1. They model exponential growth, where the value of y increases rapidly as x increases. For example, the function y = 2^x is an exponential growth function, as the value of y doubles for each increase in x.

2. Exponential Decay Functions: These functions have the form y = a*b^x, where a > 0 and 0 < b < 1. They model exponential decay, where the value of y decreases rapidly as x increases. For example, the function y = (1/2)^x is an exponential decay function, as the value of y is halved for each increase in x.

Both types of exponential functions are important in many fields, including finance, biology, and physics. They are used to model phenomena such as compound interest, population growth, and radioactive decay.

The units of v''(r) will be cubic centimeters per square centimeter, or [tex](cm^3/cm^2)[/tex].

The second derivative of a function represents the rate of change of the first derivative, or the rate of change of the rate of change of the original function.

In this case, the function v(r) models the volume of a basketball, which is measured in cubic centimeters [tex](cm^3)[/tex]. The independent variable r is measured in centimeters (cm).

The first derivative of v(r) with respect to r is, which represents the rate of change of the volume with respect to the radius, and has units of [tex]cm^2[/tex] (cubic centimeters per centimeter).

The s[tex](cm^3/cm^2).[/tex]second derivative of v(r) with respect to r is v''(r), which represents the rate of change of the first derivative, or the rate of change of the rate of change of the volume with respect to the radius. The units of v''(r) will be [tex]cm^-1[/tex], or the inverse of the units of the first derivative, which is  [tex](cm^3/cm^2)[/tex].

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The degree measure of angle A is 90 degrees if the measure of angle A is three times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C.

Let x be the measure of angle C in degrees.

According to the problem statement, angle A is three times as big as angle C, measuring 3x degrees.

Angle B is 30 degrees bigger than angle C, so its measure is x + 30 degrees.

The sum of the measures of the angles in a triangle is always 180 degrees so that we can write:

A + B + C = 180

Substituting the expressions we found for the angles in terms of x, we get:

3x + (x + 30) + x = 180

Simplifying and solving for x, we get:

5x + 30 = 180

5x = 150

x = 30

Therefore, angle C has a measure of 30 degrees, angle B has an estimate of 30 + 30 = 60 degrees, and angle A has a measure of 3(30) = 90 degrees.

So the degree measure of angle A is 90 degrees.

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The rank-nullity theorem states that the rank of a matrix plus the dimension of its null space equals the number of columns.

Thus, if the null space of a 4 x 5 matrix is three-dimensional, then the rank of the matrix is 5 - 3 = 2.

Answer to Question 2:

The dimension of the solution space of A x = 0 is 6 - 2 = 4, since the number of columns of A is 6 and its rank is 2. The solution space of A x = 0 is the null space of A, which has dimension 4 by the rank-nullity theorem.

Answer to Question 3:

No, the columns of A do not necessarily have to be linearly independent. The column space of A is the span of its columns, which has dimension p. However, the columns of A may be linearly dependent, which means that some columns can be expressed as linear combinations of the others.

Answer to Question 4:

To prove that H + K is a subspace of V, we need to show that it satisfies three conditions:

It contains the zero vector: 0 = 0 + 0 belongs to H + K, since it can be expressed as the sum of the zero vectors in H and K.

It is closed under vector addition: if w1 and w2 belong to H + K, then there exist h1 and k1 in H and K such that w1 = h1 + k1, and there exist h2 and k2 in H and K such that w2 = h2 + k2. Therefore, w1 + w2 = (h1 + h2) + (k1 + k2) belongs to H + K, since it can be expressed as the sum of vectors in H and K.

It is closed under scalar multiplication: if w belongs to H + K and c is a scalar, then there exist h and k in H and K such that w = h + k. Therefore, c w = c h + c k belongs to H + K, since it can be expressed as the sum of vectors in H and K.

Since H + K satisfies these three conditions, it is a subspace of V.

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The amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.

To calculate the amount of tip that Ethan receives on every order, we can use the formula:

Tip amount = (Tip percentage) x (Cost of order)

In this case, the tip percentage is `15\%` and the cost of order is the variable we need to find.

Let's assume that the cost of an order is $100. Using the formula above, we can calculate the amount of tip that Ethan receives:

Tip amount = (`15\%`) x ($100)
Tip amount = $15

Therefore, Ethan receives a $15 tip on an order that costs $100.

If the cost of an order is different, we can simply plug in the new value into the formula and calculate the tip amount accordingly. For example, if the cost of an order is $50, the tip amount would be:

Tip amount = (`15\%`) x ($50)
Tip amount = $7.50

In conclusion, to calculate the amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.

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To simplify the expression, we can divide each term of the polynomial by the monomial:

30c^8d^3 / 12c^2d = 2.5c^6d^2

-3bc^6d^2 / 12c^2d = -0.25bc^4

6c^3d / 12c^2d = 0.5c

Therefore, the simplified expression is:

2.5c^6d^2 - 0.25bc^4 + 0.5c

The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.

Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.

To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.

We can then divide both sides by -4 to get

=> y>-2.5.

Thus, the solution set of 10+y<10-3y is y>-2.5.

To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with

=> -6≥-8x.

We can then divide both sides by -8 to get

=> x≤0.75.

Thus, the solution set of -6≥10-8x is x≤0.75.

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Recursive form of sequence is given by f(n)  = f(n-1) - 3

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The explicit form of sequence is  given as

      f(n) = −3n + 2

So nth term is given by

           f(n) = −3n + 2

(n-1)th term is given by    

           f(n-1) = −3(n-1) + 2

We have

         f(n) -  f(n-1) = −3n + 2 - (−3(n-1) + 2)

          f(n) -  f(n-1) = −3n + 2 +3(n-1) - 2

          f(n) -  f(n-1) = −3n + 2 +3n -3 - 2

          f(n) -  f(n-1) = -3

          f(n)  = f(n-1) - 3

Recursive form of sequence is given by f(n)  = f(n-1) - 3

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Answer:

12x + 50 =210

Step-by-step explanation:

Given the data on the world problem, we know that one of our terms will be 12x because it says "each month" in the problem. If his mom is going to give him 50 dollars, and the Jordans cost 210, then we can write  a simple equation.

x = number of months it will take him

[tex]12x+50=210[/tex]

Answer: 5.8=x

Step-by-step explanation:

$210=Price

$12=Each Month

$50=From Mom

120-50=70

70/12=5.8 Months

An mg is equivalent to 0.001 g since the prefix "milli-" in milligrams stands for 10-3. A microgram is equivalent to 0.000001 g in mcg, where the prefix "micro-" stands for 10-6.

The terms milligrams (mg) and micrograms (mcg) are interchangeable. You must divide the value in mcg by 1000 to convert it to mg.

The conversion formula is as follows:

1 mcg Equals 0.001 mg

So, you may divide by 1000 or increase the number in mcg by 0.001 to convert it to mg. For instance:

500 mcg equals 0.5 mg (500 x 0.001 mg).

1000 mcg equals 1000 times 0.001 mg equals 1 mg

500 mcg equals 2.5 mg (or 2500 x 0.001 mg).

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Answer:

[tex]x=-5,5[/tex]

Step-by-step explanation:

[tex]y=x^2-25\\0=x^2-25\\0=(x+5)(x-5)\\x=-5,5[/tex]

Based on the assertion and the reason regarding the weight of an object and upthrust experienced by the body in a fluid; Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). The correct option is A.

The principle of floatation states that an object will float in a fluid if the upthrust that is experienced by the object is equal to or greater than the weight of the object.

The upthrust experienced by a body is the upward force that a liquid or gas exerts on a body floating in it.

Upthrust on a body depends on the acceleration due to gravity, the density of the liquid, and the volume of the body immersed in the liquid.

The weight of a body is the force of gravity acting on the body. The weight of a body acts downward.

Thus in a fluid, the weight of an object acts downward while the upthrust on the object acts in an upward direction.

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Answer: 43.2 minutes or 43 minutes and 12 seconds

Hi there, so first step I would do is to state the area of a cylinder which is 2πrh+2πr^2

Next step, I would place the value into the equation, so for the first pool, it is as follows: 2 x π x 20 x 5+2 x π x 20^2 which is = 1000π

which means 1000π = 50 minutes so each minutes must be equals to 20π

Then fit in the values for the second pool

2 x π x 18 x 6 + 2 x π x 18^2 = 864π

Then divide 864π by 20π to get how many minutes

The answer is equal to 43.2 minutes

Hope this helps

Using the probability formula the value for the largest piece is obtained as 3/4.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Let X be the length of the largest piece when a unit stick is broken into three random pieces.

We want to find E(X), the expected value of X.

To solve for E(X), we can use the law of total probability and consider all possible lengths for the first cut.

Let Y be the length of the first piece, which can take any value between 0 and 1.

Then, we can write -

E(X) = ∫[0,1] E(X|Y=y) fY(y) dy,

where fY(y) is the probability density function of Y and E(X|Y=y) is the expected value of X given that the first piece has length y.

Now, let's consider the possible cases for the lengths of the other two pieces -

If the second cut is made in the interval [0,Y], then the largest piece has length Y.

If the second cut is made in the interval [Y,1-Y], then the largest piece has length 1-Y.

If the second cut is made in the interval [1-Y,1], then the largest piece has length Y.

Therefore, we can write -

E(X|Y = y)

= y × 1 + (1 - y) × 1/2 + (1 - y)×1  

= 1/2 + y/2.

Substituting this into the previous formula and using the fact that the density function for a uniform distribution on [0,1] is fY(y) = 1 for 0 ≤ y ≤ 1, we get -

E(X) = ∫[0,1] (1/2 + y/2) dy

= [y^2/4 + y/2] from 0 to 1

= 3/4.

Therefore, the expected length of the largest piece is 3/4.

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