Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?

The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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Answer:

The Answer is $4 or option (A)

Step-by-step explanation:

I took the test :)

On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

Smooth ceiling spacing

If the ceiling slope is less than 30°, smoke detectors are spaced based on height at the ceiling. A “smooth” ceiling is uninterrupted by continuous projections extending more than 4 inches below the ceiling, the spacing changes when it is interuppted with bolts or other projections.

Therefore, On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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The largest area that can be enclosed with 200 meters of fencing is 2500 square meters.

Let the length of the rectangular field be L and the width be W.

Then the perimeter is:
2L + 2W = 200
Simplifying, we get:
L + W = 100
We want to maximize the area A = LW of the rectangular field, subject to the constraint above.

To do this, we can solve for one of the variables in terms of the other:
L = 100 - W
Substituting into the area equation, we get:
A = (100 - W)W = 100W - W^2
Now we have a quadratic function for the area, which we can maximize by finding its vertex. The vertex occurs at W = -b/2a, where a = -1 and b = 100.
W = -100/-2 = 50
So the width of the rectangular field that maximizes the area is 50 meters. Plugging this back into the constraint equation, we get:
L + 50 = 100
L = 50
So the length of the rectangular field is also 50 meters.

The maximum area is then:
A = LW = 50 x 50 = 2500 square meters

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I am simplifying the ven diagram :-

Answer:

  y = -1/3x +3

Step-by-step explanation:

When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

  y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)

  y = -1/3x +3 . . . . . . . simplified to slope-intercept form

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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Answer:

a) 7 * 10^ 11

b) 7 * 10^ 3

c) (7 * (10 ^ 6)) + (7* 10^ 0)

The numbers as powers of 10 are a) 7×10¹¹ b) 7×10³ c) 7 ×10⁶ +7

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

Given here the numbers

a)700,000,000,000=7×10¹¹

b)7000=7×10³

c)7,000,007=7 ×10⁶ +7

Hence, these are the answers expressed in powers of 10.

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1) w₁ is not closed 1-form.

2) w₂ is is closed 1-form.  

Here, we have,

given that,

1) w₁ = y dx - xdy

now, comparing with Mdx + Ndy we get,

M = y and, N = -x

now, we have,

dN/dx = -1 ≠ 1 = dM/dy

=> y dx - xdy is not exact.

=> w₁ is not closed 1-form.

2) the differential equation is:

w₂ = yz²dx + (xz²+ z )dy + (2xyz + 2z + y ) dz

         = [ yz² dx + xz² dy + 2xyz dz ] + [z dy + y dz} + 2z dz

         = d(xyz²) + d(yz) + d(z²)

         = d ( xyz² + yz + z²)

=> w₂ = d ( xyz² + yz + z²)

=> w₂ is is closed 1-form.  

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SOLUTION:

Case: Ratios

A ratio says how much of one thing there is compared to another thing.

Given:

30 women and 28 men in a school marching brand

Required: Get the ratio of women to men

Method:

Step 1: Expressing as ratio:

30 women: 28 men

Step 2:

30:28

Divide both by 2

15:14

Final answer:

Simplest ratio is 15:14 OR 15/14

Answer:

$1.8

Step-by-step explanation:

9/5 = 1.8

Hope this helps! You can ask me more questions in the comments if you want! :)

Answer:

The answer is obtuse

Step-by-step explanation:

because a triangle cannot be a right or parallel or a Isosceles.

Hope this helps!:)

Answer:

The correct answer is: Isosceles.

Step-by-step explanation:

First let’s take a look at ‘Right’. Right, is determining the angle, not the side length.

’Obtuse’. Obtuse is also determinin the angle, therefore it cannot be the correct answer.

’Parallel’. It is impossible for a triangle to be parallel, meaning that there are two opposite sides, incapable of touching each other.

’Isosceles‘ for a triangle to be isosceles, it needs two sides made of equal length. This description connects with the question being asked, therefore ‘Isosceles‘ is the correct answer.

= 10 (u + 9)

= 10 x u + 10 x 9

= 10u + 90

Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

false

Step-by-step explanation:

If it is a true or false question its false.

17 x 20% = 3.4

17 ÷ 10 = 1.7

Hope this helps!

Answer:

Hello,

Step-by-step explanation:

Part A:

Yes

Since

y=f(x)

f(0)=4

f(1)=7 : f(1)=f(0)+1*3

f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3

f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3

...

f(9)=31=28+3=f(8)+3=f(0)+9*3

f(n)=f(0)+n*3=4+n*3

Part B: y=3x+4

Part C: slope=3 , y-intercept=4

The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)

y-intercept indicate the original height of the plant.

Answer:

I think it is C.

Step-by-step explanation:

Answer:

volume is length x width x height, the answer is 160 cubed feet.

Step-by-step explanation:

Length x width x height and bam, there is your answer

The greatest integer function, shown below, is defended so that it produces the greatest integer less than or equal to x

This is further explained below.

A natural number that is either positive or negative, expressed as an integer, or the number zero itself are all examples of integers.

The additive inverses of the positive numbers that they relate to are represented by the negative numbers.

In conclusion, The biggest integer function, which is shown down below, is validated in such a way that it generates the greatest integer that is less than or equal to x.

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CQ

The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ]

Answer:

from left: 220, 177

Step-by-step explanation:

unit rate = first derivative = slope

first graph;

slope = (880-660)/(4-3) = 220 ft/min

2nd graph;

slope = (177-0)/(1-0) = 177 ft/min

Answer:

Solution,

\(7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x\)

Hope this helps...

Good luck on your assignment...

Answer:C=2πA=2·π·1≈3.54491

Step-by-step explanation:

Answer:

119.32

Step-by-step explanation:

The formula for the area of a circle is:

A = πr², where π = 3.14 and r = radius

The formula for the circumference of a circle is:

C = 2πr, where π = 3.14 and r = radius

So, in order to solve for circumference, you need to solve for 'r'.  Using the formula for area:

1134.11 = πr²

Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²

Take the square root of both sides: √361.2 = √r² or r≈19

Use the value of r = 19 to solve for circumference:

C = 2π(19) = 2(3.14)(19) = 119.32 meters

Answer:

Revenue function: The revenue R(x) from selling x units is the product of price per unit p and the number of items sold x (demand). R(x) = px

Step-by-step explanation:

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

The entire population of high school boys, a larger and more representative sample, selected using random sampling techniques, would be needed.

It would not be reasonable to use this information to generalize about the distribution of weights for the entire population of high school boys. The sample size of 100 is relatively small compared to the total population of high school boys, and it is possible that the sample is not representative of the entire population. Additionally, the sample was not randomly selected, which introduces the possibility of sampling bias. In order to generalize about the distribution of weights for the entire population of high school boys, a larger and more representative sample, selected using random sampling techniques, would be needed.

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A translation moves points a specified distance along a line parallel to a specified line(A).

A translation is a type of transformation in which every point of the preimage is moved a fixed distance along a straight line parallel to a specified line, to create an image. The direction and distance of the movement are the same for each point in the preimage.

The image is congruent to the preimage, which means that the size, shape, and orientation of the preimage and image are the same. Translations are often represented using arrows to indicate the direction and distance of the movement.

To perform a translation, you need to specify two things: the distance and direction of the movement, and the line along which the movement takes place. The distance and direction are specified using a vector, which is a directed line segment.

The line along which the movement takes place is called the axis of the translation, and it is always parallel to the direction of the movement. The image is created by moving each point of the preimage along the axis of the translation by the same vector. So A is correct option.

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The correct margin of error for a 68% confidence interval is option D 4 centimeters.

Let's calculate the margin of error correctly for a 68% confidence interval.

To calculate the margin of error, we need to determine the critical value associated with a 68% confidence interval. For a normal distribution, the critical value is approximately ±1 standard deviation.

Given that the standard deviation is 64 centimeters, the margin of error can be calculated as:

Margin of Error = 1 * (Standard Deviation / √Sample Size)

= 1 * (64 / √256)

= 1 * (64 / 16)

= 1 * 4

= 4

Therefore, the correct margin of error for a 68% confidence interval, based on the given information, is 4 centimeters. The correct answer is option D.

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Answer:

D

Step-by-step explanation:

Just took the test

Answer:

V(f) = 41,000 - 1,100f

V(9) = 41,000 - 1,100(9) = 41,000 - 9,900

= 31,100

The value of the car after 9 years is $31,100.