a mathematical procedure for taking any complex waveform and determining the simpler waveforms that make up that complex pattern is known as

Answer:

a)

b)

Explanation:

a) Let b represent the number of striped bass one is allowed to catch.

Since we're only allowed to catch at most 3 striped basses, that is, the number of striped basses can be less than or equal to 3 but not more, we can go ahead and write the inequality as seen below;

See below the graph of the above inequality on a number line;

b) Let l represent the length of each striped bass

Since each striped bass must not be less than 18 inches long, that is, each striped bass can

be more than or equal to 18 inches in length but not less, we can go ahead and write the inequality as seen below;

Graphing on a number line, we'll have;

Answer:

$12

Step-by-step explanation:

30x.4=12 dollars for fuel

Answer:

x=1

Step-by-step explanation:

You need to add the Numbers with an x together as if they were racist on each side so you'd have

4x+2 = x+5

Then to move them to either side you must do the opposite symbol of what they are so if their positive their now negative

4x-x=-2+5

then add them together

3x= 3

then divide the normal number with the number with the x

x=1

For the next problem you Multiply thr number that are in the paranthases by the number on the outside so

6-x-3 = 4(x-2)

6-x-3= 4x-8

then copy the steps that I told you from last problem

-9-x=4x-8

then

-9+8=x+4x

thenn

-1=5x

divide

0.2-=X

Hank will take approximately 6.6 years to recover from his loss.

In the question, we are given that to go to college, Hank goes from working full-time making $28,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000.

We are asked for the time in which Hank recovers his loss if he makes $33,000 per year after getting his degree.

He will lose $14,000 every year he works part-time since his annual income drops from $28,000 to $14,000. He plans to do this for two years, which will result in a loss of $28,000 ($14000(2)).

The price of his degree will be added to this: 28,000+5,000 Equals $33,000.

By the time he graduates, he will be earning $33,000 annually. This is 5000 more a year than he was previously paid or 33000-28000.

We divide the amount he loses, 33,000, by the additional amount he will earn annually, 5000, to determine the number of years it will take him to recoup his investment:

33000/5000 = 6.6.

Thus, Hank will take approximately 6.6 years to recover from his loss.

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Answer:

C

Step-by-step explanation:

Took the test

Answer:

Note: I'm assuming that he keeps 1/8 of the money spent for himself.

If this is what the question was asking, then the answer would be:

Argyle must sell $4,000 worth of computers.

Step-by-step explanation:

First, we write an equation.

1/8n = $500

Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.

Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:

1/8n * 8 = $500 * 8

= n = $4000

Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.

A possible critical point of the function f(x) is given by: (0,-2)

The critical points of a function are the values of x for which:

\(f^{\prime}(x) = 0\)

At these points, the function can change from decreasing to increasing, or vice-versa.

For the table described, we have that the function is decreasing until (0,-2), then it starts to increase, hence there can be a critical point at (0,-2).

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Answer: x

4 − 4 x 3 + 6 x 2 − 4 x + 1

Step-by-step explanation:

Answer:

f = 59

g = 59

Step-by-step explanation:

f = 180 - 121

f = 59

g = 180 - 121

g = 59

To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

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Answer:

first one, hope this helped

Step-by-step explanation:

The downhill side of the crane base should be raised by approximately 4.53 inches to level the crane on a 2.5° slope.

We can use trigonometry here. Let x be the length (in inches) that the downhill side of the base should be raised. The slope of the ground is given to be 2.5°,

tan(2.5°) ≈ 0.0436

Now, using the equation,

x / 12 = 9tan(2.5°)

Here, we converted the base's width from feet to inches (by dividing by 12) and calculated the crane's required vertical displacement (inches) using the angle's tangent. When we simplify this equation, we obtain,

x = 9tan(2.5°)12

x ≈ 4.53 inches

Therefore, the downhill side of the base should be raised by about 4.53 inches to level the crane.

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Complete question - A crane is being set up on a slope of 2.5 degrees. If the base of the crane is 9.0 ft​ wide, how many inches should the downhill side of the base be raised in order to level the​ crane?

Answer:

A. y = x+0.25

Answer:

same side interior angles

Step-by-step explanation:

<4 and <6 are same side interior angles

Same  side interior angles are on the same side of the transversal and inbetween the two lines

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

18<20

Step-by-step explanation:

As you said 18, less than, 20. 18<20

Answer:

\(6x+15\)

Step-by-step explanation:

\(2\left(3x\right)+7+8\)

\(\mathrm{Add\:the\:numbers:}\:7+8=15\)

\(=2\cdot \:3x+15\)

\(\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\)

\(=6x+15\)

Hence, the correct answer is:  \(6x+15\)

Answer:

\(\huge\boxed{\sf{6x+15}}\)

Step-by-step explanation:

Hello.

Let's solve this problem.

First, multiply 2 times 3x:

6x

Now, add 7 plus 8:

15

Write the expression:

6x+15

Can this expression be simplified any further?

No.

Why?

Because variables and constants are not like terms.

In this case, the variable is x, and the constant is 15.

I hope it helps

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

The decimal form for this is 0.27 (With a line on top of it.)

Step-by-step explanation:

See this image:

Answer:

Company B follows linear profit function while company A follows exponential profit function. Company B has more profit after 4 months while company A has more monthly profit after year-end. Option A is correct.

Given information:

Company A earns monthly profit based on the profit function,  where t is the number of months.

Company B earns profit based on a linear function. The data in the below table shows the profit after each month:

Month 3 4 7

Profit 5 10 25

Now, the profit earned by company A after 4 months will be,

Also, the profit earned after a year will be,

Now, the linear function which represents the profit of company B is,

So, the profit earned after 4 months and 1 year (by company B) will be,

Now, comparing the profit of companies A and B:

After 4 months, company B has more monthly profit which is 10 hundred dollars or 1 thousand dollars. After the year-end, company A earns more monthly profit as it is 102.04 hundred dollars. This is because company A follows an exponential function to predict the profit while company B uses a linear profit function.

Therefore, option A should be correct.

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Company B follows linear profit function while company A follows - 1

The profit of the company was decreasing in the year interval 2010 to 2015.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that,

A company’s profit, P(t) , in thousands of dollars, from 2000 to 2015 , is represented by the graph provided.

Here  t=0 corresponds to the year 2000.

The X axis has been marked from 0 to 15, which corresponds to the year from 2000 to 2015.

It is clear that from 0 to 10, the profit is increasing. So from 2000 to 2010 the graph is increasing.

From 10 to 15, the graph is decreasing or the profit is decreasing and finally the profit is 0.

So the graph is decreasing in the interval 2010 to 2015.

Hence the interval where the graph is decreasing is 2010 to 2015.

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Answer:

Step-by-step explanation:

I hope this letter finds you in good health dear. I am doing well here.

It is been a long time since I haven’t written a letter to you, I finally got some time. I was actually occupied with some practical submissions. I am anyway going to start with the preparation for my exams. They are beginning from next week onward. What about yours?

This time I will be making my own notes by going through each and every topic so that I don’t miss out on topics. If you want I will share my notes with you. I am also going to refer to some extra books for easier explanations. My teacher gave me this idea. This will help me remember the basics in my own words and will help me understand each and every concept well.

Do write me back. I miss our long chats and I wish to hear from you.

Answer:

A

Step-by-step explanation:

Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.

Answer:

2 times the shortest leg (leg oppo. the 30 degree angle)

Answer:n

Step-by-step explanation:

The orthogonal matrix S is

S = [1/√3 1/√3]

     [1/√3 -1/√3]

     [1/√3 1/√3]

To find an orthogonal matrix S such that S^(-1)AS is a diagonal matrix D, we need to find the eigenvectors of matrix A.

Given matrix A:

[0 2]

[2 0]

To find the eigenvectors, we solve the characteristic equation:

|A - λI| = 0

where λ is the eigenvalue and I is the identity matrix.

(A - λI) =

[0 - λ 2]

[2 0 - λ]

Expanding the determinant:

(-λ)(-λ) - 2(2) = λ^2 - 4 = 0

Solving for λ:

λ^2 = 4

λ = ±2

For λ = 2:

(A - 2I)v = 0

[0 - 2 2] [v1] = [0]

[2 0 - 2] [v2] [0]

Simplifying the system of equations:

-2v2 + 2v3 = 0

2v1 - 2v3 = 0

Solving the equations, we find v1 = v2 = v3.

Therefore, one eigenvector corresponding to λ = 2 is [1 1 1].

For λ = -2:

(A + 2I)v = 0

[0 2 2] [v1] = [0]

[2 0 2] [v2] [0]

Simplifying the system of equations:

2v2 + 2v3 = 0

2v1 + 2v3 = 0

Solving the equations, we find v1 = -v2 = v3.

Therefore, another eigenvector corresponding to λ = -2 is [1 -1 1].

To find the orthogonal matrix S, we normalize the eigenvectors:

v1 = [1 1 1] / √3

v2 = [1 -1 1] / √3

Now, we can construct the matrix S using the eigenvectors as columns:

S = [v1 v2]

[--- ---]

[--- ---]

Substituting the normalized eigenvectors:

S = [1/√3 1/√3]

[1/√3 -1/√3]

[1/√3 1/√3]

Therefore, the orthogonal matrix S is:

S = [1/√3 1/√3]

[1/√3 -1/√3]

[1/√3 1/√3]

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The analysis that could be conducted to test the hypothesis that worry accounts for the relationship between depression and sleep problems is mediation analysis. So, correct option is A.

Mediation analysis is a statistical method used to examine the mechanisms through which an independent variable (in this case, depression) affects a dependent variable (sleep problems) through a third variable (worry).

It involves testing the direct effect of the independent variable on the dependent variable, as well as the indirect effect of the independent variable on the dependent variable through the mediator variable.

If the indirect effect is significant and the direct effect becomes non-significant or smaller in magnitude after controlling for the mediator variable, then it suggests that the relationship between the independent and dependent variables is mediated by the mediator variable (worry).

So, correct option is A.

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Answer:

Com o aumento da população no início da Baixa Idade Média, muitas pessoas saíram do campo para viver nas cidades. Quais trabalhos eles passaram desempenhar?

Step-by-step explanation:

Answer:

original price = 105.66

Step-by-step explanation:

35% off means she pays 100-35 = 65%

original price * 65% = 68.68

Change to decimal form

original price *.65 = 68.68

Divide each side by .65

original price *.65/.65 = 68.68/ .65

original price = 105.66

The formula predicts that the triangle's perimeter will be 12f+9g+3.

What is a triangle?

The sides of a triangle are (10f +6) centimetres, (2f-4) centimetres, and (9g+1) centimetres long, respectively.

The expression for the triangle's perimeter will be

P = (10f+6) + (2f- 4) + (9g+1)

P = 12f+9g+3

The formula predicts that the triangle's perimeter will be 12f+9g+3.

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Some of the most common symbols used in formulas include (addition), - (subtraction), * (multiplication), and / (division). These are called "operators". The correct option is c) operators.

Operators are symbols that represent a specific operation to be performed on one or more values or variables. In mathematics and programming, operators are used to build expressions that represent calculations. The most common operators include addition (+), subtraction (-), multiplication (*), and division (/), which are used to perform basic arithmetic operations.

Other operators include exponents (^), modulus (%), and comparison operators (>, <, =, etc.), which are used for more complex operations. Understanding operators is an essential part of learning mathematics and programming, as they form the building blocks for more complex calculations and algorithms. The correct option is c) operators.

The complete question is:

Fill in the blank: Some of the most common symbols used in formulas include + (addition), - (subtraction), * (multiplication), and / (division). These are called _____.

a) references

b) domains

c) operators

d) counts

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Answer:

yes

Step-by-step explanation:

because an independent variable is going to be by itself in a equation