Sione just landed a great job as an engineer where he will make $55,000 a year. The company he will work for guarantees a 3% pay increase each year so it's employees' salaries keep up with inflation. At the end of the 1st year Sione will have made $55,000 dollars. What is the recursive function that will represent this situation?​

Answer:

44 cm

Please see the attached picture for full solution

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Good luck on your assignment

Answer:

ok I think the answer is the second one

Among the given options, the "Success/Failure Condition" is not a requirement for testing means. The other three options—Randomization, Nearly Normal Condition, and 10% Condition—are necessary conditions to be considered when conducting hypothesis tests on means.

Randomization: Randomization is essential to ensure that the samples being compared are representative of the population and to minimize bias. Random assignment of individuals to treatment groups helps control for confounding variables and increases the validity of the statistical analysis.

Nearly Normal Condition: The Nearly Normal Condition assumes that the data follows a roughly normal distribution within each group being compared. This condition is important because many statistical tests, such as t-tests, rely on the assumption of normality to provide accurate results.

10% Condition: The 10% Condition is relevant when sampling from a finite population. It states that the sample size should be no more than 10% of the population size to ensure that the sampling process does not significantly affect the population distribution.

Success/Failure Condition: The Success/Failure Condition is not directly related to testing means. It is typically associated with tests involving proportions, where the condition specifies that both the number of successes and the number of failures should be at least 10 in each sample or category being compared.

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858 combinations are there to choose 10 players to take the field.

Pick 10 people from 13,

\(C^{13} _{10}\) = \((^{13} _{2} )\)

Splitting the combination,

\(C^{13} _{10}\) = (13 × 12 × 11) ÷ 2

\(C^{13} _{10}\) = 1716 ÷ 2

\(C^{13} _{10}\) = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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The son is 30 years and the father is 65 years.

Let x represent the present age of the son and y represent the present age of the father.

Hence:

y = x + 35

-x + y = 35    (1)

In 5 years time:

y + 5 = 2(x + 5)

y + 5 = 2x + 10

-2x + y = 5  (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 65

The son is 30 years and the father is 65 years.

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Son   =  30 years

Father  =  65 years

Present Details:

Son: "s" years                    (lets consider son's present age to be s)

Father: "s + 35"                  (father is 35 years older than the son)

After 5 years:

Son: "s + 5"                [son will be 5 years older]

Father: 2(s + 5)     [twice the son's age]  and  (s + 35) + 5 = (s + 40) years

Solve father's age simultaneously:

⊕ Thus, the Son is 30 years old.

Father's age:

Systematic sampling and cluster sampling are examples of probability sampling methods used in human research. These methods are employed to ensure that each participant in the population has a known, non-zero chance of being selected, which helps in obtaining representative samples and drawing more accurate conclusions.

Systematic sampling and cluster sampling are both examples of probability sampling methods used in human research.

Probability sampling methods involve randomly selecting participants from a larger population, giving each individual an equal chance of being selected.

Systematic sampling involves selecting every nth participant from a list of the population, while cluster sampling involves dividing the population into clusters or groups and then randomly selecting entire clusters to include in the study.

These methods are considered to be more representative and unbiased than non-probability sampling methods, which do not involve random selection and may not accurately reflect the characteristics of the population.

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The minimum force that must be applied on the crate to prevent it from sliding down the 35.0-degree incline is 27.21 N.

To calculate the minimum force required, we need to consider the forces acting on the crate. The force of gravity acting on the crate can be decomposed into two components: one parallel to the incline and one perpendicular to the incline.

The perpendicular component of the gravitational force is given by mg * cos(θ), where m is the mass of the crate (3.00 kg) and θ is the angle of the incline (35.0 degrees). Thus, the perpendicular component is 3.00 kg * 9.8 m/s^2 * cos(35.0°) = 24.25 N.

The minimum force required to prevent the crate from sliding down the incline is equal to the maximum static friction force. The maximum static friction force can be calculated using the formula fs = μs * N, where μs is the coefficient of static friction (0.3) and N is the normal force acting on the crate. The normal force is equal to mg * sin(θ), which is 3.00 kg * 9.8 m/s^2 * sin(35.0°) = 16.59 N.

Therefore, the maximum static friction force is 0.3 * 16.59 N = 4.98 N.

To prevent the crate from sliding, the minimum force required must be equal to the maximum static friction force, which is 4.98 N.

To prevent the 3.00 kg crate from sliding down the 35.0-degree incline, a minimum force of 27.21 N must be applied to the crate. This force is necessary to overcome the perpendicular component of the gravitational force and match the maximum static friction force between the crate and the incline.

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ANSWER

13.5

EXPLANATION

It was given that, y varies directly as x.

Therefore, the variation equation is of the form:

If y is 4.5 when x is 3, then we can substitute to find the constant of variation.

Divide both sides by 3;

Hence the equation becomes:

When x=9,

The length of the ribbon to the nearest tenth is 50.3 inches.

To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.

The formula for the circumference of a circle is given by the following:

C = 2πr

Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.

Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.

Hence, we have: r = 8 inches

C = 2πr

C = 2π(8)C = 16π

The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)

Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.

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Answer:

33 years old

Step-by-step explanation:

We can make the equation \(t=h+8\) using the points given to us already, so when Hien is 25 years old, her turtle will be \(t=25+8=33\).

Step-by-step explanation:

as we can see when hien was 6 years old turtle was 14 this diffrence in age is 14 - 6 = 8

now when hien is 25 the difference in age will remain same therefore age of turtle = 25+8 = 33

To find the square roots of the number 49(cos 300° + sin 300°) using DeMoivre's theorem, we can express the number in polar form.

The given number can be rewritten as 49(cos(300°) + i sin(300°)), where i is the imaginary unit. According to DeMoivre's theorem, if a number z = r(cos θ + i sin θ), then its n-th roots can be found using the formula: z^(1/n) = r^(1/n) [cos(θ/n + 2πk/n) + i sin(θ/n + 2πk/n)]

In this case, we want to find the square roots (n = 2) of 49(cos 300° + sin 300°). Applying DeMoivre's theorem, we have: √(49(cos 300° + sin 300°)) = √49 [cos(300°/2 + 2πk/2) + i sin(300°/2 + 2πk/2)]

Simplifying, we get: √(49(cos 300° + sin 300°)) = 7 [cos(150° + πk) + i sin(150° + πk)]

For k = 0, the square root with the smaller angle is: √(49(cos 300° + sin 300°)) = 7 [cos(150°) + i sin(150°)] = 7(cos 150° + i sin 150°)

For k = 1, the square root with the larger angle is:

√(49(cos 300° + sin 300°)) = 7 [cos(150° + π) + i sin(150° + π)] = 7(cos 330° + i sin 330°)

Therefore, the two square roots of 49(cos 300° + sin 300°) in polar form are: The square root with the smaller angle: 7(cos 150° + i sin 150°)

The square root with the larger angle: 7(cos 330° + i sin 330°)

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Answer:

X 3y 2

Step-by-step explanation:

So, the statements that are true are: This study uses a repeated measures design. This study uses random sampling. This study uses a control group.

An equation is a mathematical statement that asserts that two expressions are equal. It typically contains variables, constants, and mathematical operators, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used to solve problems and find the values of the variables that make the equation true. For example, the equation 2x + 3 = 7 is true when x equals 2, because 2(2) + 3 = 7. Equations can be represented using mathematical notation.

by the question.

This study uses a repeated measures design because each subject experiences each of the four treatments.

This study uses random sampling because the 100 children were randomly selected.

This study uses a control group because the first group, which has no screen time, serves as the control group for comparison.

This study does not use blinding because there is no mention of hiding the treatment groups from the children or the researchers.

This study does not use blocking because there is no mention of grouping the children based on certain characteristics (e.g., age, gender) and then randomly assigning them to the treatment groups within each block.

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Answer:

1.3 cups

Step-by-step explanation:

The appropriate value for M1 in the linking constraint for product A is $17.

In the given scenario, the decision variable Yi is defined as 1 if the amount of product i produced (Xi) is greater than 0, and 0 if Xi equals 0. This implies that Yi represents whether or not product i is produced. In this case, we are dealing with product A.

The linking constraint is used to ensure that if product A is produced (Yi = 1), then the amount produced (Xi) must be greater than 0. This can be expressed as Xi ≥ Yi * M1, where M1 is a sufficiently large value that ensures the constraint holds.

Since the profit per unit of A is $17, setting M1 equal to this value guarantees that if Yi is 1 (product A is produced), then Xi must be greater than 0 (at least one unit of A is produced). This ensures that the linking constraint is satisfied and reflects the condition that the company can sell all the units it produces.

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Answer:

I believe the answer is 2x² - 88 - 24, since it is the only one with a number in front of the x²

Step-by-step explanation:

y = x² - 2x - 24

y = 2x² - 88 - 24

y = x² + 5x - 25

y = x² + 3x - 10x - 24

Answer:

1,4,9,25,36,49,64,81,100,121,144

Question: What numbers make up the perfect squares

Answer:  

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

Answer:

8.9

Step-by-step explanation:

64<80<81

√64<√80<√81

8<√80<9

Now evaluate (8.8)² = 77 and 11/25

hence the next decimal place must be greater than eight. Hence 8.9 is an estimate to the nearest tenth.

Answer:

Step-by-step explanation:

5. 360-36-62=262

6. a= 31 (corresponding angles)

   b=180-31=149 (interior angles)

   c=149

   d=31 (angles on straight line)
7. 90-48=42

8. a=180-120=60 (angles on straight line)

   b=

   c=

9.(a)40 (opposite angles) (b)180-40=140 (alternate angle) (c) 90 (right angle)

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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The division problem represented by the first model is 15 ÷ 5 = 3.
The division problem represented by the second model is 105 ÷ 21 = 5.

It seems like there are some typos in your question, but I'll try my best to address the main concept. It appears you're asking about a division problem represented by a model. However, the model is not provided. Please provide more information or clarify the model, so I can accurately answer your question.

We are asking about a division problem that is modelled. The model is not offered, though. I need additional details or a clearer explanation of the model in order to properly respond to your query.

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Answer:

0.5625:1

Step-by-step explanation:

unit rate has a denominator of 1

Answer:

6a=6.a I think is true cause it's like the same thing

The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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A triangle is a closed shape in geometry with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as triangle △PQR. The most commonly seen examples of triangles are the signboards and sandwiches that are in the shape of a triangle.

Given Lengths of the ∆ -

10.2 cm

5.8 cm

4.5 cm

We know that by triangle formula,

The sum of any two sides of a triangle is always greater than the third side.

So, according to the given sides of the triangle that are 10.2, 5.8, 4.5.

(10.2 + 5.8) cm = 16 cm > 4.5 cm

(10.2 + 4.5) cm = 14.7 cm > 5.8 cm

(5.8 + 4.5) cm = 10.3 cm > 10.2 cm

Yet, it is also possible to have a triangle having sides 10.2 cm, 4.5 cm & 5.8 cm.

A triangle is just a simple polygon with three sides and three interior angles.

It is one of the basic structures in geometry in which the three vertices are joined with each other and it is denoted by the symbol △.

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The dimensions, in units, of the right square prism are 3 by 3 by 40, 2.5 by 12 by 12 and 3.6 by 10 by 10.

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of a right square prism can be calculated using the following formula.

\(V=a^2h\\\)

Here, (a) is the side length of the base and (h) is the height.

The right square prism has a volume of 360 cubic units. Lets check all the options, whose volume is equal to 360 cubic units.

        \(V=3^2\times40\\V=360\rm\; units^3\)

        \(V=4^2\times20\\V=320\rm\; units^3\)

       \(V=5^2\times14\\V=350\rm\; units^3\)

        \(V=12^2\times2.5\\V=360\rm\; units^3\)

Hence, the dimensions, in units, of the right square prism are 3 by 3 by 40, 2.5 by 12 by 12 and 3.6 by 10 by 10.

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Answer:

First Option  3 by 3 by 40

Fourth Option  2.5 by 12 by 12

Fifth Option     3.6 by 10 by 10

Step-by-step explanation:

right on edge