i have another worded problem. Please insipre me Southeast Appliance Mart (problem 4) offers service contracts with all appliance sales. To encourage sales-people such as Luisa to sell more service contracts, the company pays a commission of 20% on all servicecontracts. What will be her total pay for two weeks when she sells $42,000 worth of appliances and $1,200worth of service contracts?

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kias is 3 and steve is 18

Answer:

2.54379284 hp.

Step-by-step explanation: Torque is defined as the engines rotational force.  First we find the distance =  m in equation- then we use the formula Power = work/time = 16.7/ 5 = 3.34 and Horsepower formula is given by. Horsepower = (Torque × Speed) / 5252. HP = (3.34 × 4000) / 5252. HP = 13360/5252. HP = 2.54379284 hp.  

Given :    W=4000    m=?        h=20 m                      

Time of operation         t =5 s

Work done in lifting a box            W=mgh= ? ×12×20=4000 = m = 4000/240=16.6666667 = 16.7KG

Power required         P=  W/t   =  w/p = 120000/120 =1000 watts    We divide 60/5 = 120 then divide by 10 = 12 (being g)

Answer:

d. less than the critical value, we can conclude that the proportion of United Airline flights that arrive on-time is less than 0.90

Step-by-step explanation:

Expedia would like to test the hypothesis that the proportion of Southwest Airline flights that arrive on-time is less than 0.90.

At the null hypothesis, we test that the proportion is of 0.9, that is:

\(H_0: p = 0.9\)

At the alternate hypothesis, we test that it is less than 0.9, that is:

\(H_a: p < 0.9\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.9 is tested at the null hypothesis:

This means that \(\mu = 0.9, \sigma = \sqrt{0.9*0.1}\)

A random sample of 140 United Airline flights found that 119 arrived on-time.

This means that \(n = 140, X = \frac{119}{140} = 0.85\)

Value of the test-statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.85 - 0.9}{\frac{\sqrt{0.9*0.1}}{\sqrt{140}}}\)

\(z = -1.97\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.85 or less, which is the p-value of z = -1.97.

Looking at the z-table, z = -1.97 has a p-value of 0.0244.

The p-value is 0.0244 < 0.05, which means that the test statistic is less than the critical value, and thus, we can conclude that the proportion of United Airline flights that arrive on-time is less than 0.90.

The correct answer is given by option d.

Answer:

Step-by-step explanation:

(a) Using de Moivre's Theorem, we have that:

z^n = cos(nθ) + i sin(nθ)

1/z^n = cos(-nθ) + i sin(-nθ)

So, we can find z^n + 1/z^n as:

z^n + 1/z^n = (cos(nθ) + i sin(nθ)) + (cos(-nθ) + i sin(-nθ)) = 2 cos(nθ)

And z^n - 1/z^n as:

z^n - 1/z^n = (cos(nθ) + i sin(nθ)) - (cos(-nθ) + i sin(-nθ)) = 2i sin(nθ)

(b) To express the equation 2z^4 - 5z^3 + 7z^2 - 5z + 2 = 0 in terms of cos(θ), we can substitute z with cos(θ) + i sin(θ):

2(cos(4θ) + i sin(4θ)) - 5(cos(3θ) + i sin(3θ)) + 7(cos(2θ) + i sin(2θ)) - 5(cos(θ) + i sin(θ)) + 2 = 0

Expanding the right hand side using the trigonometric identities, we get:

2 cos(4θ) - 5 cos(3θ) + 7 cos(2θ) - 5 cos(θ) + 2 = 0

Note that the real and imaginary parts are separate, so we can simplify this equation to a real equation by equating the real and imaginary parts to 0.

(c) To solve the equation 2 cos(4θ) - 5 cos(3θ) + 7 cos(2θ) - 5 cos(θ) + 2 = 0, we can use numerical methods or analytical methods such as the roots of unity.

Once the roots are found, they can be represented on an Argand diagram by plotting the real and imaginary parts of each root as a point in the complex plane. The magnitude of each point represents the magnitude of the complex number, and the argument (angle) represents the argument of the complex number.

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Translate

"Five" = 5

"times" is multiplication

"difference" is subtraction

"twice" means 2 times something

"a number" = x

"is" means equal

"-10" = -10

Step 2: Set up equation

5(2x - 4) = -10

Step 3: Solve for x

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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Answer:

5

Step-by-step explanation:

|8| - |14 - 11|

8 - 3

5

Answer:

25x

Step-by-step explanation:

Answer:

You cant find the value of x but here is the simplified version :

x+25

v = u + at

=> 35 = u + (4×5)

=> 35 = u + 20

=> 35 - 20 = u

=> 15 = u

Step-by-step explanation:

v = u + a t

35=u+ 4(5)

35-20=u

u=15

Answer:

74 contacts

Step-by-step explanation:

Let c represent how many contacts Joy had on her phone before she updated it. Because Joy added 26 new contacts, we can say that c+26 is equal to her new total of 100 contacts. Now, we can use our equation to solve for c. Therefore, Joy had 74 contacts on her phone before she updated it.

C+26=100   C=74  74+26=100

The simple fraction is \(= \frac{x + 1}{2x + 1}r\)

In math, what is a fraction?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.

                             Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

\(= \frac{r}{1 + \frac{1}{\frac{1 + 1/x }{} } }\)

\(= 1 + 1/x\)

= x + 1/x  we have

= \(\frac{1}{x + 1/x}\)

\(= \frac{x}{x + 1}\)

\(= 1 + \frac{x}{x + 1}\)

\(= \frac{ 2x + 1}{x + 1}\)

r%*x+1/(2x+1)

 \(= \frac{x + 1}{2x + 1}r\)

reduce to the appropriate fraction. The denominator was then brought up and the numerator down as I normalized.

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The complete question is -

Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r 1 1 1 1 x . Rewrite this formula as a simple fraction.

Answer:

Greatest common factor (GCF) of 18 and 34 is 2.

Step-by-step explanation:

The common factors among the factors of 18 and 34 are 1 and 2 thus the greatest common factor will be 2 only.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

Factors of 18 = 1,2,3,6,9 and 18

Factors of 34 = 1,2,17, and 34

Common factors = 1 , 2

Highest = 2

Hence "The common factors among the factors of 18 and 34 are 1 and 2 thus the greatest common factor will be 2 only".

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Based on how Colton built the castle in relation to Gage, and the blocks used to build, the blocks used by Colton was 100 blocks.

Colton built 5 times as fast as Gage did. This means that for every block used by Gage, Colton used 5 blocks.

This means that in the same time, the number of blocks used by both was:
= 5 + 1

= 6 blocks

The number of blocks used by Colton was:

= Number of blocks used by Colton per time / Total blocks used per time x Total blocks to build castle

= 5 / 6 x 120

= 100 blocks

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The actual distance is 160 miles.

A representative fraction is a scale that can be used to either increase or decrease the size of length of a given object. It can be expressed as:

Representative fraction = length on drawing/ actual length

Given that the map of the river has a scale of 3 inches: 8 miles. Let the actual distance be represented by x. It can be deduced that;

3 inches/ 8 miles = 60 inches/ x

make x the subject of the formula, we have;

x = (8 miles * 60 inches)/ 3 inches

  = 8 miles * 20

  = 160 miles

x = 160 miles

Therefore, the actual distance is 160 miles.

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Answer:

.682

Step-by-step explanation:

The magnitude of vector is 8.24 and angle is 75.9638.

What is vector?

A vector could be a amount that not solely describes the magnitude however additionally describes the movement of an object or the position of an object with reference to another purpose or object.

Main body:

we know that the magnitude of vector is found out by,

| u | = \(\sqrt{i^{2}+j^{2} }\)

so here , u = 2i + 8j

|u| = \(\sqrt{2^{2} +8^{2} }\)

|u| = \(\sqrt{68}\)

|u| = 8.24

now to find the direction , angle

tan∅ = j/k

tan∅ = 8/2

∅ = tan⁻¹ (4)

∅ = 75.9638°

Hence , direction angle of the following vector is ∅ = 75.9638°

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Answer:

the answer is g

Step-by-step explanation:

20 desktops plus 15 laptops equals the 30 computer's and there's 5 more desktops than laptops. you welcome <3

Answer:

Step-by-step explanation:

Correct anwser is F because there are 5 more desktops than laptops and there is 35 total computers so it’s just 35-5 which is 30 which is 30+5=36 see it’s easy hope I helped

x=1 3/7 or 10/7

Step-by-step explanation:

depending on how ur teacher wanted it wrote

It's -46, because if you add -6 and -46 you get -52

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.