12. What steps do you need to take to solve
the equation 2x + 6 - 187
A Add 6. Then multiply by 2.
B Subtract 6. Then divide by 2.
C Add 6. Then divide by 2.
D Subtract 6. Then multiply by 2.

Answers

Answer 1

Answer:

B is the right answer.


Related Questions

You estimate that there are 66 cars in a parking lot. The actual number of cars is 75
.a. Find the percent error.
b.What other estimate gives the same percent error? Explain your reasoning

Answers

A. The percent error is 12%.

B. If you were to count 84 cars when there were only 75 it would also have the same percent error.

Step-by-step explanation:

Step 1; From the given data I measured the number of cars lower than its actual count. I counted the number of cars as 66 while it was 75. So my measurement was off by 9 counts. My percent error is given by dividing the difference in values by the actual value multiplied by 100.

% error = (difference in values / actual value) × 100

My % error = (75 - 66)/ 75 × 100 = 9/75 × 100 = 12%.

Step 2; My percent error was 13.6363%. I counted the cars lower then there were so to find another similar estimate I just add the percent error to the actual number of cars.

Similar % error = Actual value + 12% = 75 + 12% = 75 + 9 = 84 cars.

Final answer:

To calculate the percent error, use the formula (|Estimated Value - Actual Value| / Actual Value) x 100%. For an estimate of 66 compared to an actual value of 75, the percent error is 12%. An estimate of 84 cars would also produce a 12% percent error because it shares the same distance from the actual value as the original estimate, just in the opposite direction.

Explanation:

The question asks to find the percent error of an estimation and to determine another estimate with the same percent error. To calculate percent error, you use the formula: Percent Error = (|Estimated Value - Actual Value| / Actual Value) × 100%. Applying the given values, we get: Percent Error = (|66 - 75| / 75) × 100% = (9 / 75) × 100% = 12%.

To find another estimate with the same percent error, we can manipulate the percent error formula. Let x represent the new estimate. Thus, 12% = (|x - 75| / 75) × 100%. Solving for x gives two solutions: x = 66 (the given estimate) or x = 84. This means an estimate of 84 cars would also result in a 12% percent error, because it is 9 units away from the actual value, similar to the original estimate.

The reasoning is based on the symmetrical property of the absolute value function used in the percent error calculation, which indicates that the error margin above and below the actual value are equivalent.

The diameter of the circle above is 32 in. What is the circumference of the circle? Use = 3.14.

Answers

Answer:

8.3776 this is the circumference

Step-by-step explanation:

Answer:

the answer is 100.48 yd

125% of e is 30. What is e?

Answers

125% of e is 30 means then the value of e is 24.

Step-by-step explanation:

By simplifying the given statement we can write it as

[tex]\frac{125}{100}[/tex] [tex]\times e = 30[/tex]

So  to find the e, we should keep e on one side the take the remaining terms on the other side. So after rearranging, we can obtain the equation e = [tex]\frac{30\times100}{125}[/tex]So now canceling the favorable terms we can get 24.

The unknown number e from the given question is 24

How to find percentage

125% of e is 30

125 / 100 × e = 30

1.25e = 30

divide both sides by 1.25

e = 30 / 1.25

e = 24

Therefore, the unknown number e from the given question is 24

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find the slope of the line that contains the points named A(3,2) B(7,8)

Answers

Answer:

Step-by-step explanation:

slope=y₂-y₁/x₂-x₁

[tex]\frac{8-2}{7-3}=\frac{6}{4}\\\\=\frac{3}{2}[/tex]

slope= y2-y1/x2-x1
8-2/7-3
6/4
= 3/2

Area of 4.24 3 3
In a triangle

Answers

Answer:

4.5

Step-by-step explanation:

We can use heron's formula in this case:

let perimeter/2 be represented by [tex]p\\[/tex]

let [tex]a, b, c[/tex] represent each side length

[tex]p=\frac{ 4.24+3+3}{2} = 5.12[/tex]

Heron's formula is as follows:

[tex]Area=\sqrt{p(p-a)(p-b)(p-c)}[/tex]

Plug your numbers into the formula!

[tex]Area = \sqrt{5.12(5.12-4.24)(5.12-3)(5.12-3)}=\sqrt{5.12(0.88)(2.12)(2.12)}[/tex]

=[tex]4.5[/tex]

2x - 3 greater than equal to 5
PLEASE EXPLAIN IT ;)

Answers

Answer:

x≥4

Step-by-step explanation:

We want to solve for x in

[tex]2x - 3 \geqslant 5[/tex]

Let us add 3 to both sides:

[tex]2x - 3 + 3\geqslant 5 + 3[/tex]

We simplify to get:

[tex]2x\geqslant 8[/tex]

Divide through by 2 to get:

[tex]x \geqslant 4[/tex]

Answer:

The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true

Step-by-step explanation:

To explain

[tex]2x-3\geq 5[/tex]

let us solve this inequality and find the value of x

[tex]2x-3\geq 5\\2x\geq 5+3\\2x\geq 8\\x\geq (\frac{8}{2} )\\x\geq 4[/tex]

As

x [tex]\geq[/tex] 4

So

The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true

Keywords: Algebra

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Two vertices of a right triangle have coordinates (9, 1) and (6, -1).
Select each ordered pair that could be the coordinates of the third vertex.
(6,9)
(6, 1)
(1, -1)
(9, -1)

Answers

Answer:

(6,1), (9,-1)

Step-by-step explanation:

In points (6,1) and (9,-1) a right angle can be formed.

A boy is 8 years older than his brother four years from now the boy will be twice as old as his brother how old is each boy ​

Answers

Answer:32

Step-by-step explanation:

8 times 4

Answer:

Boy: 12   Brother: 6

Step-by-step explanation:

If a boy was 8 years old and in 4 years from the boy was twice is brothers age you would first have to add 4 to the 8 to get how many years old the boy was (8+4=12)

When you get these answer, you would have to divide bye 2 bceause the boy was twice his age and therefore, we would find out how many years old the brother was

(12/2=6)

solve the following system of equations
-2x+y=1
-4x+y=-1

Answers

Answer:

x = 1

y =

Step-by-step explanation:

-2x + y=1

-4x + y=-1

-2 (2) x + (2) y = (2) 1 (multilply by 2)

-4x + y=- 1

-4x + 2y = 2

-4x + y = -1

minus side by

y = 3

x =

Answer:

(1, 3).

Step-by-step explanation:

-2x + y = 1

-4x + y = -1      Subtract :

-2x - (-4x) = 1 - (-1)

-2x + 4x = 2

2x = 2

x = 1.

Substitute x = 1 in the first equation:

-2(1) + y = 1

-2 + y = 1

y = 1 + 2

y = 3.

Sandra bought 3 pounds of sweet potatoes for $4.71. What is the cost per pound of the sweet potatoes?

Answers

The answer is: $14.13.

Need help with simplifying this question ​

Answers

[tex]{3}^{ - 3} [/tex]

hope this helps :)

Yo sup??

[tex](3^6)^-^1^/^2\\=3^6^*^(^-^1^/^2^)\\=3^(^-^3^)\\[/tex]

Therefore your answer is option A ie

A.3^(-3)

Hope this helps.

a pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. what should be his angle of elevation to the nearest

Answers

The angle of elevation is 2.17°

Step-by-step explanation:

First change value in miles to value in feet

1 mile =5280 ft

50 miles = 5280*50 =264000 ft

Apply the formula for tangent of an angle where the opposite side is 10,000 ft and the adjacent side is 264000 ft

Tan Ф = O/A

          = 10,000/264000

           =0.03787878787

Tan ⁻(0.03787878787) = 2.17°

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A basketball player made 17 out of 20 free throws at practice. What percent of the free throws did the player miss?

Answers

Answer:

The correct answer is 85%.

If a basketball player made 17 out of 20 free throws at practice then 85% of the  free throws did the player miss.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a  basketball player made 17 out of 20 free throws at practice

We need to find the percent of the free throws did the player miss.

We find this by finding the product of x/100 with 20 which is equal to 17.

x/100 × 20=17

Now we have to find the value of x which is the percentage.

2x/10=17

0.2x=17

Divide both sides by 0.2

x=17/0.2

x=85%

Hence, if a basketball player made 17 out of 20 free throws at practice then 85% of the  free throws did the player miss.

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Which is the definition of the root qua- (from the word quadrilateral)?

Option 1. one

Option 2. two

Option 3. three

Option 4. four

Answers

Answer the answer is 4

Step-by-step explanation:

Easy way means four

Write the absolute value function as a piecewise function. y=6∣x−3∣

Answers

Answer:

Step-by-step explanation: y=6 x - 3

(6 X x) - (6 x 3)

6x - 18

-12

Final answer:

The absolute value function y = 6 |x - 3| can be written as a piecewise function. For x < 3, y = 6 * (3 - x) and for x >= 3, y = 6 * (x - 3). This takes into account the always-positive relationship of the absolute value function.

Explanation:

The absolute value function y = 6 |x - 3| can be written as a piecewise function as follows:

if x < 3 then y = 6 * (3 - x)if x ≥ 3 then y = 6 * (x - 3)

This is because the absolute value function defines a relationship where distance is always positive. For values of x less than 3, the expression within the absolute value brackets is negative, so we have to change the sign. For values of x greater than or equal to 3, the expression is already positive, so it stays as it is.

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find all of the points of the form (x −1) which are 4 unit from the point (3,2)

Answers

Answer:

[tex](3+2\sqrt{2},2+2\sqrt{2}),(3-2\sqrt{2},2-2\sqrt{2})[/tex]

Step-by-step explanation:

[tex]Points\ are\ of\ the\ form\ (x,x-1)\\\\Distance\ of\ these\ points\ from\ (3,2)=4\\\\\sqrt{(x-3)^2+(x-3)^2}=4\\\\\sqrt{(x-3)^2+(x-1-2)^2}=4\\\\\sqrt{2(x-3)^2}=4\\\\2(x-3)^2=16\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ square\ both\ the\ sides\\\\(x-3)^2=\frac{16}{2}\\\\(x-3)^2=8\\\\(x-3)=\pm 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ \ square\ root\ both\ the\ sides\\\\x=3\pm 2\sqrt{2}\\\\When\ x=3+2\sqrt{2}\ \ \Rightarrow x-1=3+2\sqrt{2}-1=2+2\sqrt{2}\\\\When\ x=3-2\sqrt{2}\ \ \Rightarrow x-1=3-2\sqrt{2}-1=2-2\sqrt{2}[/tex]

Manuela works as a security guard. She makes $15 per hour. Her employers deduct $125 from her weekly check to cover insurance and takes. If Manuela receives at least $205 in her weekly paycheck, what is the feast number of hours she works in a week

Answers

Answer:

At least 22 hours in a week.

Step-by-step explanation:

Given: Manuela make $15 per hour.

           Her employers deduct $125 from her weekly check.

           Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]

Now, forming an inequality to determine weekly pay of Manuela.

⇒ [tex]15\times x- 125\geq 205[/tex]

⇒[tex]15x-125\geq 205[/tex]

Adding both side by 125

⇒[tex]15x\geq 205+125[/tex]

⇒[tex]15x\geq 330[/tex]

Divinding both side by 15

⇒[tex]x\geq \frac{330}{15}[/tex]

∴[tex]x \geq 22\ hours[/tex]

Hence, Manuela works at least 22 hours per week.

Which associations best describe the scatter plot?

Select each correct answer.


linear association

positive association

negative association

nonlinear association

Answers

Answer:

all the above conclude in a scatter plott does it have linear relation was it a positive or negative and it could be a random scatter plot so nonlinear association

The associations that best describe the scatter plot are: C. Negative association A. linear association

What are the Positive and Negative Associations on a Scatter Plot?

On a scatter plot, if one variable increases or decreases as the other increases or decreases, it shows a positive association.

On the other hand, if one variable increases as the other decreases, it is a negative association.

Also, if the points are along a straight line, the association is linear.

Thus, in the scatter plot given, as time increases, distance decreases.

Therefore, the associations that best describe the scatter plot are: C. negative association A. linear association

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Evaluate g(x) = 5x + 7 for x = 9

Answers

g(x) = 5x + 7. g(9) = 5(9) + 7 g(9) = 45 + 7 g(9) = 52

Answer:

g(9) = 52

Step-by-step explanation:

Step 1:  Identify the function

g(x) = 5x + 7 is the function

Step 2:  Set x to 9 in the function

g(9) = 5(9) + 7

Step 3:  Multiply

g(9) = 45 + 7

Step 4:  Add

g(9) = 52

Answer:  g(9) = 52

A rectangle has a area of 1/6 square centimeters and a length of 1.5 centimeters. What is the width? What is the perimeter?

Answers

Answer:

Step-by-step explanation:

width is 9 and the perimiter is 21

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The box plots show the weights, in pounds, of the dogs in two different animal shelters.


Which is true of the data in the box plots? Select three choices.

The median weight for shelter A is greater than that for shelter B.

The median weight for shelter B is greater than that for shelter A.

The data for shelter A are a symmetric data set.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answers

Answer:

The median weight for shelter A is greater than that for shelter B.

Step-by-step explanation:

In statistics, a box plot is a graphic method to display the quartiles of a distribution, where the line inside the body refers to the median.

So, in this case, you can observe that the median of shelter A is 21, and the median of shelter B is 18. That means the median of shelter A is greater than the median of shelter B.

Therefore, the right answer is first choice:

The median weight for shelter A is greater than that for shelter B.

Box plot shows 5 description of the data set it is representing. The true statements for the given data sets' box plots are:

The data for shelter A are a symmetric data set.The interquartile range of shelter A is greater than the interquartile range of shelter B.

How does a boxplot shows the  data points?

A box plot has 5 data description.

The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.

How to find the interquartile range?

IQR(inter quartile range)  is the difference between third and first quartile.

For the given data set, we see that the middle line of first graph is right to the middle line of the lower graph, thus, Median of B < Median of A (18 < 22) (since as we go right, the magnitude of numbers increases)

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since then the frequencies are more likely to be distributed symmetric to the middle).

Thus, B is symmetric but A isn't

IQR of A = Q3 - Q1 = 28 - 17 = 11IQR of B = Q3 - Q1 = 20 - 16 = 4

Thus, IQR A > IQR B (here Q3 is third quartile and Q1 is first quartile).

Thus, the correct statements for the given box plots is:

The data for shelter A are a symmetric data set.The interquartile range of shelter A is greater than the interquartile range of shelter B.

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what ordered pair is a solution of this equation 3x-7y=28


help

Answers

put it in slope intercet form then take the number before the x and the number after the x and put them into an ordered pair.

complete the square x^2-6x+__= -13+__

Answers

Answer:

Step-by-step explanation:

x^2 - 6x + __ = -13 + __

take half of the coefficient in ur x term, square it, and add it to both sides

so take half of -6.....which is -3......and square it....-3^2 = 9. Now add 9 to both sides.

x^2 - 6x + 9 = -13 + 9

(x - 3)^2 = - 4

Final answer:

To complete the square for the equation x^2-6x+__= -13+__, add the square of half the coefficient of x to both sides. The completed square equation is (x-3)^2 = -4.

Explanation:

The student is asking how to complete the square for the equation x^2-6x+__= -13+__. Completing the square is a method used in Mathematics to solve quadratic equations, reorganize expressions, and is important for calculus. Here are the steps to solve this:

First, we take half of the coefficient of x, which is -6, square it, and add it to both sides of the equation. This gives us (x^2-6x+9) = -13+9. Simplify the left side into (x-3)^2. The right side simplifies to -4. This gives us the completed square equation: (x-3)^2 = -4.

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Plz help ASAP!!!
What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box.

Items purchased: 40, 29, 108, 35, 62, 50, 8
Bags used: 6, 5, 11, 7, 14, 10, 2
r ≈ ____

Answers

The correlation coefficient between the given variables is determined as 0.771 (three decimal places).

Correlation coefficient between the variables

The correlation coefficient between the variables is calculated as follows;

[tex]r = \frac{n\Sigma xy - \Sigma x\Sigma y}{\sqrt{[n\Sigma x ^2 \ - (\Sigma x)^2][n\Sigma y^2- (\Sigma y)^2]} }[/tex]

∑xy = (40 x 6) + (29 x 5) + (108 x 11) + (35 x 7) + (62 x 14) + (50 x 10) + (8 x 2)

∑xy = 3202

n∑xy = 7(3202)

n∑xy = 22,414

∑x = 40 + 29 + 108 + 35 + 62 + 50 + 8 = 332

∑y = 6 + 5 + 11 + 7 + 14 + 10 + 2 = 55

∑x∑y = 332 x 55 = 18,260

∑x² = 40² + 29² + 108² + 35² + 62² + 50² + 8² = 21,738

n∑x²  = 7(21,738) = 152,166

(∑x)² = (332)² = 110,224

∑y² =  6² + 5² + 11² + 7² + 14² + 10² + 2² = 531

n∑y² = 7(531) = 3,717

(∑y)² = (55)² = 3,025

Correlation coefficient

[tex]r = \frac{22,414-18,260}{\sqrt{(152,166-110,224) (3,717 - 3025)} } \\\\r = \frac{4154}{\sqrt{29,023,864} } \\\\r = 0.771[/tex]

Thus, the correlation coefficient between the given variables is determined as 0.771 (three decimal places).

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NEED HELP Solve.
y=2x-6
4x-2y=14

Answers

Answer:

No solution

Step-by-step explanation:

Replace occurrences of y in 4x - 2y = 14 with 2x - 6

y = 2x - 6

4x - 2 (2x - 6) = 14

Simplify left side

y = 2x - 6

12 = 14

Since 12 is not equals to 14, There is no solution

The profit a hamburger vendor earned, in dollars, is proportional to the number of hamburgers sold. This equation represents the proportional relationship between the profit earned and number of hamburgers sold. 2p = 3H

Answers

Answer:

The hamburger earns $ 1.50 for each hamburger he sells

Correct statement and question:

The profit a hamburger vendor earned, in dollars, is proportional to the number of hamburgers sold. This equation represents the proportional relationship between the profit earned and number of hamburgers sold.

2p = 3H.

Enter the profit, in dollars, earned for each hamburger sold.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let's find the value of p, profit earned when H = 1:

2p = 3H

2p = 3 * 1

2p = 3

p = 3/2

p = 1.5

The hamburger earns $ 1.50 for each hamburger he sells

Which expression is equivalent to StartRoot 200 EndRoot?
2 StartRoot 10 EndRoot
10 StartRoot 2 EndRoot
10 StartRoot 20 EndRoot
100 StartRoot 2 EndRoot

Answers

Answer:

b)  √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5  x 5

⇒ 200  = (2)²  x (5) ²  x 2

Taking ROOT both sides, we get:[tex]\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}[/tex]

Hence,   √200 = 10√2

Answer:

B is the answer

Step-by-step explanation:

B for e2020

The area of a floor in square yards is one-ninth the area of the floor in square feet. Write the equation representing y, the area in square yards , to f , the area in square feet

Answers

Answer:

y = x²

f = (3x)²

Step-by-step explanation:

y = x²

f = (3x)²

check: y = 1/9 f

The required equation is [tex]y=\dfrac{1}{9}f[/tex].

Important information:

Area of a floor in square yards is one-ninth the area of the floor in square feet.

We need to write an equation for the given situation.

Proportional Equation:

Let [tex]y[/tex] be the area in square yards and [tex]f[/tex] be the area in square feet.

Area of a floor in square yards is one-ninth the area of the floor in square feet.

[tex]y=\dfrac{1}{9}f[/tex]

Thus, the required equation is [tex]y=\dfrac{1}{9}f[/tex].

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The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of a portable kennel with a volume of 7.4 ft3? Use a graphing calculator to solve. Round the dimensions to the nearest tenth.

Answers

Answer:

[tex]L=2.3\ ft\\W=1.9\ ft\\H=1.7\ ft[/tex]

Step-by-step explanation:

we know that

The volume of a portable kennel (rectangular prism) is equal to

[tex]V=LWH[/tex]

where

[tex]L=(x+0.4)\ ft\\W=x\ ft\\H=(x-0.2)\ ft[/tex]

[tex]V=7.4\ ft^3[/tex]

substitute the given values in the formula of volume

[tex]7.4=(x+0.4)(x)(x-0.2)[/tex]

Apply distributive property right side

[tex]7.4=x(x^2-0.2x+0.4x-0.08)[/tex]

[tex]7.4=x(x^2+0.2x-0.08)[/tex]

[tex]7.4=x^3+0.2x^2-0.08x[/tex]

[tex]x^3+0.2x^2-0.08x-7.4=0[/tex]

Solve the cubic equation by graphing

using a graphing tool

The solution is x=1.9

see the attached figure

Find the dimensions

substitute the value of x

[tex]L=(1.9+0.4)=2.3\ ft\\W=1.9\ ft\\H=(1.9-0.2)=1.7\ ft[/tex]

5. Mrs. Neri works part time at an electronics store. She is paid a weekly salary plus a
commission based on her total sales. The table shows her total sales and her total pay
for the last two weeks.
Week/1
Total Sales
/ $500
to
Total Pay
$425
Week/2
Total sales
$350
Total pay 395
Based on the data in the table, which equation represents Samantha's total pay, y, as
a function of her total sales, x?
A) y = 0.6x + 125
B) y = 0.2% + 325
C) y = 1.6% -95

Answers

Answer:

The equation that represents Samantha's total pay as  a function of her total sales is B.  y = 0.2x + 325

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

             Total Sales   Total Pay

Week 1     $ 500           $ 425

Week 2      $ 350            $ 395

2. Let's find out the equation that represents Samantha's total pay as

a function of her total sales, this way:

Week 1:

A) y = 0.6x + 125  = 0.6 * 500 + 125 = 300 + 125 = 425 Correct

B) y = 0.2x + 325  = 0.2 * 500 + 325 = 100 + 325 = 425 Correct

C) y = 1.6x - 95 = 1.6 * 500 - 95 = 800 - 95 = 705 Incorrect

Week 2:

A) y = 0.6x + 125  = 0.6 * 350 + 125 = 210 + 125 = 335 Incorrect

B) y = 0.2x + 325  = 0.2 * 350 + 325 = 70 + 325 = 395 Correct

C) y = 1.6x -95 = 1.6 * 350 - 95 = 560 - 95 = 465 Incorrect

The equation that represents Samantha's total pay as  a function of her total sales is B.  y = 0.2x + 325

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Population growth during the Gilded Age was due in large part to The plates of a parallel-plate capacitor are 3.00 mm apart, and each carries a charge of magnitude 79.0 nC. The plates are in vacuum. The electric field between the plates has a magnitude of 5.00 x 10^6 V/m.Part A) What is the potential difference between the plates?Part B) What is the area of each plate?Part C) What is the capacitance? The graph of the equation x = y2 + 4 is symmetric with respect to which of the following?a. the 3-axisc. the line y = -x+ 4b. the x-axisd. the line y = x What are the different levels of the federal system and responsibilities? 3. Working with Numbers and Graphs Q3 Suppose that a small business sells 975 units of goods per month at $30 per unit. The unit cost of producing 975 units of goods is $15. The business has implicit costs of $3,400. The economic profit of this business equals $_________. One of the Hellenistic kingdom that succeeded Alexander was that of the a. 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Which of these actions is an example of American leaders following the advice President Washington gave in his Farewell Address?A)the creation of two opposing political parties during the 1796 electionsB)the end of the French-American alliance in 1800, which ended the Quasi-WarC)the Civil War, which was characterized by two sections of the country at war with each otherD)Washington being asked to run for another presidential term in the presidential election of 1800 A book rests on the shelf of a bookcase. The reaction force to the force of gravity acting on the book is 1. The force of the shelf holding the book up. 2. The force exerted by the book on the earth. 3. The weight of the book. 4. The frictional force between book and shelf. 5. None of these. A gas is compressed from an initial volume of 0.42 m3 to a final volume of 0.12 m3. During the quasi-equilibrium process, the pressure changes with volume according to the relation P = aV + b, where a = 1200 kPa/m3 and b = 500 kPa. 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They each have 4 million labor hours available per week that they can use to produce jeans, rye, or a combination of both. The following table shows the amount of jeans or rye that can be produced using 1 hour of labor.Jeans RyeCountry (Pairs per hour of labor) (Bushels per hour of labor)Felicidad 5 20Arcadia 8 16Initially, suppose Arcadia uses 1 million hours of labor per week to produce jeans and 3 million hours per week to produce rye while Felicidad uses 3 million hours of labor per week to produce jeans and 1 million hours per week to produce rye. Consequently, Felicidad produces 15 million pairs of jeans and 20 million bushels of rye, and Arcadia produces 8 million pairs of jeans and 48 million bushels of rye. Assume there are no other countries willing to trade goods, so, in the absence of trade between these two countries, each country consumes the amount of jeans and rye it produces.1. Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces jeans will produce _____ million pairs per week, and the country that produces rye will produce ____ million bushels per week. A rational decision maker must choose between two alternatives. Alternative 1 has a higher EMV than Alternative 2, but the decision maker chooses Alternative 2. What might explain why this occurs? Ah was born back due un slavery so it wasnt for me to fulfill my dreams of what a woman oughta be and to do. Dats one of de hold-backs of slavery. But nothing cant stop you from wishin. You cant beat nobody down so low till you can rob em of they will. Ah didnt want to be used for a work-ox and a brood-sow and Ah didnt want mah daughter used that way either.""