yung works 5 hours at a restaurant each Wednesday. He also earns $37 a week delivering newspapers. Kyung makes a total of $79.50 each week. If m represents the amount he makes per hour at the restaurant, which equation can be used to find the value of m?5 m + 37 = 79.505 m = 79.5037 m = 79.50

Answer:

Step-by-step explanation:

If h is the height of the ball off the ground, if we want to find the time, t, when the ball hits the ground again, we set h equal to 0, because the height of something when it is on the ground is 0.

\(0=-t^2+4t\) and solve for the values of t. Begin by factoring out a -t:

\(0=-t(t-4)\)

By the Zero Product Property, either -t = 0 or t - 4 = 0. We already know that at time 0 the ball hit the ground for the first time because that was given in the problem. That means that the ball hit the ground for the second time 4 seconds later.

Answer:  There are 11,880 ways to assign these four positions among the 12 members of the board of directors.

Step-by-step explanation:

The first position, the president, can be assigned in 12 ways, as any of the 12 members can be selected for this role. The second position, the vice president, can then be assigned in 11 ways, as one member has already been assigned as the president. The third position, the secretary, can be assigned in 10 ways, as two members have already been assigned. Finally, the treasurer can be assigned in 9 ways, as three members have already been assigned.

Therefore, the total number of ways these positions can be assigned is:

12 x 11 x 10 x 9 = 11,880

So, there are 11,880 ways to assign these four positions among the 12 members of the board of directors.

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Answer:

1) yes  2) no  3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10    yes

2) 1 + 1 = 2      no

3)  6 + 8 > 9    yes

The lengths which can be side of triangle are:

Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 8, 9, 10:

The sum of the lengths of the two smaller sides is 8 + 9 = 17 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

2. 1, 1, 2:

The sum of the lengths of the two smaller sides is 1 + 1 = 2.

No, 2 is equal to the length of the longest side.

So these numbers cannot be the lengths of the sides of a triangle.

3. 6, 9, 8:

The sum of the lengths of the two smaller sides is 6 + 8 = 14 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

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A trial or process that produces several possible outcomes that cannot be known in advance is called a "random process".

A random process refers to a trial or process that generates multiple potential outcomes, and the specific outcome cannot be predicted with certainty in advance.

It involves inherent unpredictability and uncertainty. Random processes are often influenced by various factors, such as chance, probability, or external variables.

Examples of random processes include tossing a fair coin, rolling a dice, or conducting a random experiment. The outcomes of these processes are subject to probabilistic laws and cannot be determined definitively beforehand.

Random processes play a significant role in fields like statistics, probability theory, and simulation, providing a framework for modeling and understanding uncertainty and variability in various real-world scenarios.

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Answer:

b>19

Step-by-step explanation:

15<b−4

Rewrite so b is on the left side of the inequality.

b−4>15

Move all terms not containing b to the right side of the inequality.

Add 4 to both sides of the inequality.

b>15+4

Add 15 and 4.

b>19

b>19

The result can be shown in multiple forms.

Inequality Form:

b>19

Interval Notation:

(19,∞)

Answer:

The length of the diagonal from P to Q is

\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)

Answer:

B

Step-by-step explanation:

Hi there!

We are given line segment DG, which equals 10.

Point O belongs to DG, which splits DG into DO and OG, which are parts of the line segment.

DO=x+1, and OG=2x-15

We want to find the value of x

There is a postulate in Geometry called the Parts Whole Postulate, which states that a whole is equal to the sum of its parts. In other words, DO + OG = DG

Now we can substitute x+1 as DO, 2x-15 as OG, and 10 as DG.

x+1+2x-15=10

Combine like terms.

3x-14=10

Add 14 to both sides

3x=24

x=8

The answer is B

Hope this helps!

"Two rays sharing a common endpoint" is the definition of an a.) "angle". An angle is a figure that consists of two rays that share a common endpoint and form a space between them.

The common endpoint of the rays is called the vertex of the angle. The two rays are called the sides of the angle.

The size of an angle is measured in degrees or radians, and it tells us the amount of rotation or turn between the two rays. Angles are used in geometry and trigonometry to describe and analyze the relationships between figures and their properties.

In summary, the term "two rays sharing a common endpoint" refers to an angle, which is a fundamental concept in mathematics used to describe and analyze the relationships between figures.

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The maximum number of possible different eigenvalues is 2 when

det(A-I×λ)=0.

Given that,

We have to describe the reason why a 2x2 matrix can only have two different eigenvalues.

We know that,

Checking this out with straight calculations

Keep in mind that the eigenvalues of a matrix A are determined by:

det(A-I×λ)=0

Where I is the identity matrix, whose diagonal exclusively contains ones.

As a result, the size of the matrix determines the maximum number of eigenvalues. For instance, a 2x2 matrix corresponds to an identity matrix with just two members on the diagonal.

Therefore, The maximum number of possible different eigenvalues is 2 when det(A-I×λ)=0.

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The probability that less than or equal to 5 of the 10 independent customers will take more than 3 minutes to check out their groceries is approximately 0.9245.

To calculate this probability, we can use the binomial probability formula. Let's denote X as the number of customers taking more than 3 minutes to check out. We want to find P(X ≤ 5) when n = 10 (number of trials) and p (probability of success) is not given explicitly.

Step 1: Determine the probability of success (p).

Since the probability of each customer taking more than 3 minutes is not provided, we need to make an assumption or use historical data. Let's assume that the probability of a customer taking more than 3 minutes is 0.2.

Step 2: Calculate the probability of X ≤ 5.

Using the binomial probability formula, we can calculate the cumulative probability:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = C(10, 0) * p^0 * (1 - p)^(10 - 0) + C(10, 1) * p^1 * (1 - p)^(10 - 1) + C(10, 2) * p^2 * (1 - p)^(10 - 2) + C(10, 3) * p^3 * (1 - p)^(10 - 3) + C(10, 4) * p^4 * (1 - p)^(10 - 4) + C(10, 5) * p^5 * (1 - p)^(10 - 5)

Substituting p = 0.2 into the formula and performing the calculations:

P(X ≤ 5) ≈ 0.1074 + 0.2686 + 0.3020 + 0.2013 + 0.0889 + 0.0246

P(X ≤ 5) ≈ 0.9928

Rounding this probability to the nearest hundredth/second decimal place, we get approximately 0.99. However, the question asks for the probability that less than or equal to 5 customers take more than 3 minutes, so we subtract the probability of all 10 customers taking more than 3 minutes from 1:

P(X ≤ 5) = 1 - P(X = 10)

P(X ≤ 5) ≈ 1 - 0.9928

P(X ≤ 5) ≈ 0.0072

Therefore, the probability that less than or equal to 5 customers out of 10 will take more than 3 minutes to check out their groceries is approximately 0.0072 or 0.72%.

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Answer: 81

Step-by-step explanation:

Composite primary keys are particularly useful as identifiers of composite entities, where each primary key combination is allowed "once" in the m:n relationship.

In C#, an identifier is a user-defined name for a program element.

Some key features regarding the identifiers are-

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Answer:

$150

Step-by-step explanation:

5 + 10 + 30 + 100 + 5 = 150

Answer:

to find domain just take the first values of each ordered pairs

to find the range just take the second values of each ordered pairs.

The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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Answer:

reflection across y = x

Step-by-step explanation:

Transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its point are also transformed. Types of transformation is reflection, rotation, transformation and dilation.

If a point is reflected across the x axis, the x coordinate is the same but the y coordinates is negated. If X(x, y) is reflected across the x axis the new point is X'(x, -y)

If a point is reflected across the y axis, the y coordinate is the same but the x coordinates is negated. If X(x, y) is reflected across the y axis the new point is X'(-x, y)

If a point is reflected across y = x, the x coordinate and y coordinates are interchanged. If X(x, y) is reflected across the y=x axis the new point is X'(y, x)

If a point is reflected across y = -x, the x coordinate and y coordinates are interchanged and both negated. If X(x, y) is reflected across the y=ix axis the new point is X'(-y, -x)

The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). The reflection of △ABC to form​​ ​△A′B′C′ shows a reflection across x axis since the x and y coordinates are interchanged

Answer:

reflection across y = x

Step-by-step explanation:

Answer:

4/12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9 is where you graph it first, to start your line. this would mean that it is B

Answer:

45   3  90  36  63

-------------------------------

165 11 330 132 231

Step-by-step explanation:

You basically want to the amount the top or bottom is multiplied by to get the number you need.

Ex.

9:33

* 10:10 =

90:330

^^ that is how I found one of the answers.

The sample size required for the true proportion of students who have parents who have remarried is 607.

What is termed the Confidence Interval?

The confidence interval is indeed the range of values within which you expect your forecast to fall a certain proportion of the time if you repeat your experiment or re-sample a population in the same manner.

The alpha value determines the confidence level, which is the percentage of times you anticipate reproducing an approximate between both the upper and lower limits of the confidence interval.

The above problem is based on the use of determining sample size to estimate the true percentage of students given the constraints.

We may also need to consult the table to determine the Z value.

For the given question,

α = 0.5

Consider the Z-table,

Zα/2 = Z (0.1/2)

Z (0.025) = 1.96

Let 'n' be the sample size required for the true proportion of students who have parents who have remarried.

For calculating the margin error 'E' is given 3%.

n = Z² (α/2) / E² × (P°(1 - P°))

Put the given values.

n = (1.96)² / (0.03)²  × (0.28(1 - 0.28))

On solving,

n = 4268.444(0.2016)

n = 860.51

n ≈ 860.51

Thus, the sample size required for the true proportion of students who have parents who have remarried is 860.

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Current standards indicate that a single subject research design should demonstrate a functional relation between independent and dependent variables with a minimum of three effects.

Single subject research designs, also known as single case experimental designs, are experimental designs commonly used in behavioral sciences to study the effects of interventions or treatments on individuals. These designs involve repeated measurement of the dependent variable under different conditions or phases.

To establish a functional relation between the independent and dependent variables, current standards suggest that a minimum of three effects should be demonstrated. These effects typically consist of a baseline phase, an intervention phase, and a return-to-baseline phase. The baseline phase serves as a control condition where the independent variable is absent or has no effect on the dependent variable. The intervention phase introduces the independent variable, and its effects on the dependent variable are observed.

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To write the coordinates of a point in a x - y plane you:

1. Find the distance in x-axis:

The given point A is 7 units distance in x-axis

2. Find the distance in y- axis

The given point A is -5 units distance in y-axis

You write the coordinates in form (x,y)

As x=7 and y=-5

Answer: -5,7

Step-by-step explanation:

After answering the presented question, we can conclude that As a trigonometry result, the helicopter is approximately 2,309 feet above land.

The study of the relationship between triangle side lengths and angles is known as trigonometry. Owing to the application of geometry in astronomical research, the topic initially originated in the Hellenistic era, beginning in the third century BC. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric shapes.

To begin, we must determine the length of the two legs of the right triangle. Let's begin with Amanda's perspective:

tan(60°) = h / x

tan(60°) = h / 2000

h = 2000 tan(60°)

h = 3464.1 ft (rounded to the closest foot) (rounded to the nearest foot)

tan(30°) = h / (4000 - x) (4000 - x)

tan(30°) = h / 2000

h = 2000 tan(30°)

h = 1154.7 ft (rounded to the closest foot) (rounded to the nearest foot)

Because we have two distinct heights for the same aircraft, we must average them to obtain the ultimate height:

(3464.1 + 1154.7) / 2 = (h for Amanda + h for Jeremiah) / 2

h = 2309.4 ft (rounded to the closest foot) (rounded to the nearest foot)

As a result, the helicopter is approximately 2,309 feet above land.

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The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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Answer:

Step-by-step explanation:

69

Answer:

1. the set of input values of a function

2. the set of output values of a function

3. how much one quantity changes, on average, relative to the change in

another quantity

Step-by-step explanation:

We have que following expression

by applying the law of exponents

the answer is

The order pairs are (2,12), (3,18), (5,30), (7,42). The formula used to find the number of glass beads is number of glass beads = 6 * packages.

Given that Snelly collects glass beads that come in packages of 6.

We need to complete the table below to show how any baseball cards Robert would have for each number of packages he might buy.

\[\begin{array}{|c|c|} \hline Packages & Glass\,Beads \\ \hline 2 & \\ \hline 3 & \\ \hline 5 & \\ \hline 7 & \\ \hline \end{array}\]

We need to find the number of glass beads. The number of glass beads is given by the formula: number of glass beads = 6 * packages

To find the glass beads, we can substitute the value of packages and calculate the number of glass beads, which is shown in the below table.

\[\begin{array}{|c|c|} \hline Packages & Glass\,Beads \\ \hline 2 & 12 \\ \hline 3 & 18 \\ \hline 5 & 30 \\ \hline 7 & 42 \\ \hline \end{array}\]

Now, we need to use the data in the table to form ordered pairs in which the x-coordinate is the number of packages and the y-coordinate is the related number of glass beads,

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