Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?

Answers

Answer 1

a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

What is the slope-intercept equation?

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

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Related Questions

What is: 1 2/3 + 1 7/6 =

Answers

Answer:

Step-by-step explanation:

12/3=24/6

then, 24/6+17/6=41/6

Each league plays 80 games in a month.

Based on the mean from the sample, how many more goals will be scored in the English League than in the French League in a month?

Answers

Answer:

Step-by-step explanation:

the answer is 152

What is the x-intercept of 2x y =- 4?

Answers

The x-intercept will be  -2.

Now, According to the question:

How do you find the x-intercept?

To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.

Here the equation is 2x-y = -4.

For finding the x-intercept

let us put the value of y as 0 we get,

2x−0=−4

⇒2x=−4 .

Dividing both sides by 2 we get,

2x2=−4/2⇒x=−2 .

Therefore, the x-intercept is -2.

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By choosing an appropriate line, use the
diagram to estimate the solutions to these
simultaneous equations:
2
y = -x +1.5
y = 1.5x2.5

Answers

So on solving the provided question, here  we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10

What is the simultaneous equation formula?

Multiple algebraic equations that have the same unknowna as the give in the  variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.

y = -x + 1.5

y = 1.5x + 2.5

x = -3/5

y = 9/10

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Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13

Answers

Answer:

Step-by-step explanation:

a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]

b.so 190000÷4.2=4523

c.finally, about 4523 times

To compare the two numbers, we need to compare the ratio of 1.9 • 10^-8 to 4.2 • 10^-13.

The first number, 1.9 • 10^-8, can be written as 0.00000019.
The second number, 4.2 • 10^-13, can be written as 0.000000000000042.

We can see that 1.9 • 10^-8 is much larger than 4.2 • 10^-13, as it has more trailing zeros. We can estimate that 1.9 • 10^-8 is about 45 times larger than 4.2 • 10^-13.

We can confirm this by counting the difference in the number of trailing zeros in both numbers. 1.910^-8 has 8 trailing zeroes and 4.210^-13 has 13 trailing zeroes, meaning 1.910^-8 is 8-13= -5 orders of magnitude larger than 4.210^-13

Nicole randomly selects a red card from a standard deck of cards. What outcome is the complement of drawing a red card?
Selecting an ace
Selecting a heart
Selecting a face card
Selecting a black card

Answers

The complement of the event: "drawing a red card" is the last option:

"Selecting a black card"

What outcome is the complement of drawing a red card?

The complement of an event is the set of all the outcomes such that the original event is false.

For example, the complement of drawing a red card, would be "not drawing a red card"

We know that there are two types of coloes, black and red.

Then "drawing a black card" is equivalent to "not drawing a red card"

Thus, the complement is the last option:

"Selecting a black card"

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how do i graph for this, i struggle

Answers

The equation of line passes through the point (2, 3) will be;

⇒ y = 1/2x + 2

And, Graph of this equation of line is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (2, 3).

And, The perpendicular line is,

⇒ y - 4 = - 2 (x + 3)

⇒ y -  4 = - 2x - 6

⇒ y = - 2x - 2

Now,

Since, The equation of line passes through the point (2, 3).

So, We need to find the slope of the line.

Since, The product of slope of the perpendicular line is - 1.

Hence, Slope of the given perpendicular line is,

⇒ y = - 2x - 2

m = dy/dx = - 2

m = - 2

So, The slope of line is,

⇒ m₂ = - 1/m

         = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - 3 = 1/2 (x - 2)

⇒ y - 3 = 1/2 (x - 2)

⇒ y - 3 = 1/2x - 1

⇒ y = 1/2x - 1 + 3

⇒ y = 1/2x + 2

Therefore, The equation of line passes through the point (2, 3) will be;

⇒ y = 1/2x + 2

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In how many ways can Harold, Steve, John, Roslyn, Marian and Connie line up so that no two of Harold, Steve and John are next to each other ?
There are four general arrangents of boy/girl to consider:
BGBGBG, GBGBGB, BGGBGB, and BGBGGB.
For any one of these four basic arrangements, the boys can be
rearranged (permuted) among themselves in 3 × 2 × 1 = 6 different
ways. Similarly, the three girls can be rearranged among
themselves in 6 ways. Since the boys and girls can be rearranged
independently, the number of ways to create any one of the four
basic arrangements is 6 × 6 = 36.
So the total number of ways that 3 boys and 3 girls can line up so
that no two of the three boys are next to each other is
4 × 36 = 144 .

Answers

The  total number of ways that 3 boys and 3 girls can line up so that no two of the three boys are next to each other is found to be as  144 .

It is given that there are four general arrangements of boys and girls,

Here, the boys can be arranged or rearranged (permuted) among themselves in a total of ,  3 × 2 × 1 = 6 different ways.

Similarly, the three girls can be rearranged among

themselves in 6 ways.

We are given that both the groups can arrange themselves independently .

Therefore,  the number of ways to create any one of the four basic arrangements is 6 × 6 = 36.

Therefore, the number of ways to arrange them is ,

4 × 36 = 144 .

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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)

Answers

Use the concept of the Pythagorean Theorem, where the sum of the squares of legs 1 and 2 is equal to the square of the hypotenuse. This means you can take the square root of the hypotenuse square and obtain its length since a square’s area is s².

So, here’s the equation:

t²+s²=u²

Where t=leg 1, s=leg 3, and u=hypotenuse

73. Angle of elevation: In 2001, the tallest building in the world was the Petronas Tower
in Kuala Lumpur, Malaysia. For a person standing 25.9 ft from the base of the tower.
the angle of elevation to the top of the tower is 89°. How tall is the Petronas tower?
Analo

Answers

The Petronas tower is 1483.811 feet tall.

What is tangent function?

One of the six fundamental functions in trigonometry is the tangent function. As stated, Tan A = Opposite Side/Adjacent Side is the Tangent Formula. Tangent may be modeled using sine and cosine as follows: Tan A = Sin A / Cos A.

Given:

Angle of elevation: In 2001, the tallest building in the world was the Petronas Tower in Kuala Lumpur, Malaysia.

For a person standing 25.9 ft from the base of the tower.

The angle of elevation to the top of the tower is 89°.

Let c = height of the tower,

and a = distance from the base of the tower to x.

a = 25.9 feet.

The formula:

Tangent (angle) = opposite side / adjacent side.

tan89° = c / a

57.29 = c / 25.9

c = 57.29 x 25.9

c = 1483.811 feet

Therefore, 1483.811 feet is the height of the Petronas tower.

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Each of Frank's notebooks is 2/5 inches wide. If he has 10 inches of space remaining on his bookshelf, how many notebooks will fit

Answers

We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : [tex]\frac{10}{\frac{2}{5} }[/tex] = 10 × [tex]\frac{5}{2}[/tex]

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase. He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet. What is the volume of material he must purchase

Answers

So Cheng must purchase 32 cubic feet of sculpting material.

Each pyramid has a square base with edge length of 2 feet and a height of 6 feet. The area of the square base is (2 feet)^2 = 4 square feet. The volume of each pyramid is 1/3 * base area * height = 1/3 * 4 square feet * 6 feet = 8 cubic feet.

Since there are four identical pyramids in the sculpture, the total volume of material needed to create the sculpture is 4 * 8 cubic feet = 32 cubic feet. So Cheng must purchase 32 cubic feet of sculpting material.

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Answer:

D

Step-by-step explanation:

5/6 long division from math

Answers

Answer: 0.8333

Step-by-step explanation:

help help help help help

Answers

y-1=2/3(x-14)

y-1=2/3x-28/3

+1 +1

y=2/3x-25/3
hope that makes sense :)

What are the 3 names of angles?

Answers

Angles are classified into three. They are acute angles, obtuse angle and right angle.

Therefore the three names of angles are - acute angles, obtuse angle and right angle.

Acute angles are angles that measure less than 90 degrees. They are smaller than a right angle and are often described as "sharp."

Right angles are angles that measure exactly 90 degrees. They are often represented by a square corner or the letter "L" shape.

Obtuse angles are angles that measure greater than 90 degrees but less than 180 degrees. They are larger than a right angle and are often described as "blunt."

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please answer all 3 questions thank you~!!!!

Answers

Answer:

X of M is 6, Y of M is 4, Pair is (6,4)

Step-by-step explanation:

M = 6

M = 4

M (6,4)

Phyllis invested $10,500, a portion earning a simple interest rate of

3 1/2% per year and the rest earning a rate of 3% per year. After one year the total interest earned on these investments was $352. 50. How much money did she invest at each rate?

Please answer ASAP

Answers

The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.

As given in the question,

Total amount with Phyllis is equal to $10,500

Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate

Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year

Total interest earned by the investment = $352.50

0.035x + 0.03( 10,500 - x ) = $352.50

⇒0.035x + 315 - 0.03x = 352.50

⇒0.005x = 352.50 - 315

⇒0.005x = 37.5

⇒x = $7500

and $( 10,500 - x ) = $( 10,500 - 7500 )

                              = $ 3,000

Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.

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y2−10y+24+6x−9x2
[tex]factorization[/tex]

Answers

Answer:

y(2-10)2(12+3x)...

Step-by-step explanation:

first make groups of the numbers

y2 with 10 y they both have y in common

so you can write it as y(2-10)

after 24 with 6x they both have 2in common (2×12=24)

so you can write it as 2(12+3x)

and you can do the rest with the same technique

Zendaya has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of bike gloves for $17.76.
She plans to spend some or all of the money she has left to buy new biking outfits for $65.65 each.

Write and solve an inequality which can be used to determine
x
x, the number of outfits Zendaya can purchase while staying within her budget.




Plsss help!!

Answers

Answer:

269.88 +4(10.57) +17.76 +65.65x ≤ 540x ≤ 3.2; 3 outfits or less

Step-by-step explanation:

After spending $269.88, 4 times $10.57, and $17.76 of her $540 budget, you want to know how many (x) outfits Zendaya can buy at $65.65 each.

Inequality

The total of Zendaya's spending must be no more than her budget amount:

  269.88 +4(10.57) +17.76 +65.65x ≤ 540

Solution

Simplifying the inequality gives ...

  329.92 +65.65x ≤ 540

  65.65x ≤ 210.08 . . . . . . . . . . subtract 329.92

  x ≤ 3.2 . . . . . . . . . . . . . divide by 65.65

Zendaya can purchase up to 3 outfits while staying within her budget.

7. Communicate and justify Janice is dividing
1.926. Why does she exchange the
place-value blocks shown for 18 tenths and
12 hundredths?

Answers

The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.

What do we mean by an exchange?

The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.

Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.

The complete question is:

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?​

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The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.

What do we mean by an exchange?

The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.

Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.

The complete question is:

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?​

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kiran wants to make a larger scale drawing of the same classroom which of these aclales could he use
htx

Answers

Kiran would choose scale of 1 to 50.

What is Scale Factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

Given:

As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.

The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.

The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.

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The options are as follow:

1 to 50

1 to 72

1 to 100

Multiply.
Your answer should be a monomial in standard form.
{(4z^3)(-3z^3)}=(4z
3
)(−3z
3
)

Answers

The required simplified expression as a monomial is given as -12[z⁶].

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,

Given an expression, the outcome of the multiplicative depression will be an expression of a monomial.
= [4z³][-3z³]
= 4 × 3 [-z ³⁺³]
= -12[z⁶]

Thus, the required simplified expression as a monomial is given as -12[z⁶].

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The sum of the measures of the interior angles of a convex polygon is 1260°. Classify the polygon by the number of
sides.
O Heptagon
O Octagon
ONonagon
O Decagon

Answers

The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.

How can you determine a polygon's entire angle?

Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.

What is the formula for polygons?

The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.

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15 points...................................

Answers

Answer: D

Step-by-step explanation:

The statement says that the angles GIH and QRS must be the same measurement. To show that on diagrams, we use markings : if angles have the same markings, then it means they have the same measurement.

That way, we just need to see which diagram has the right measurements.

First, the angles GIH and QRS are the angles we see named by the letter in the center : then GIH and QRS.

So it must be the angles with letters of I and R that have the same markings.

A : doesn't work for I and R

B : doesn't work for I and R

C : doesn't work for I and R

D : works for I and R

it should be the D, of course if I didn't see well don't hesitate to make sure it's correct with what I said before :)

Answer:

the answer would be D

Step-by-step explanation:

the answer is D because of the person above me

Simplify as far as possible. 2 √ 3 + 2 √ 27

Answers

The required simplified solution of the given expression is 8√3.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
=  2 √ 3 + 2 √ 27

Since √27 = 3√3
= 2√3 + 2× 3√3
= √3 [2 + 6]
= √3[8]
= 8√3

Thus, the required simplified solution of the given expression is 8√3.

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is y = x proportional

Answers

Answer:

yes

Step-by-step explanation:

Jessica is wanting to buy a 10.00 box of candy. The sales tax is 5%. How much is the total for the candy?

$15.00
$12.00
$11.00
$10.50

Answers

Answer: To find the total cost of the candy including the sales tax, we first need to calculate the amount of tax by multiplying the cost of the candy by the tax rate.

The cost of the candy is 10.00.

The tax rate is 5%, which can be written as 0.05.

The total cost of the candy would be

10 + (10*0.05) = 10+0.5 = 10.50

So the correct answer is $10.50.

Step-by-step explanation:

A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

Answers

There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,

How to write the hypothesis

The null hypothesis H0: p = 0.47

The alternative hypothesis is H1: p > 0.47

The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.

There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.

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A corporation earned a profit of $2.5 x 104 for 1 x 10³ days in a row. What was the corporation's total profi
during this time period?

Answers

Total profit earned = 25000000 dollars

What is profit?

Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.

What is the total profit during this time period?

Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row

total profit earned during this time = $(2.5 × 10⁴ × 10³)

                                                         $2.5 × 10⁷

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How many variable terms are in the expression 3x3y 5x2 Y 9?

Answers

The variable terms in the expression 3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9 are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex], and y.

The expression provided is

3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9

In the expression, each variable is represented by a letter.

Let's look at the variables for each term.

The variable in the first term, 3[tex]x^{3}[/tex]y, is [tex]x^{3}[/tex]y.

The variable in the second term, 5[tex]x^{2}[/tex] , is [tex]x^{2}[/tex] .

Y is the variable in the third term.

There is no variable in term 9's final equation.

The variables in the expression are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex] , and y.

As a result, the variables [tex]x^{3}[/tex] and y are the variable terms.

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What is nonrestrictive example? PLSS HELP A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car. Which is the complete factorization of this expression?-20x - 5yA)5(4x+y)B) 4(5x - y)C) -5(4x + y)D)-5(4x - y) 16.reread lines 273-279 what new cocerns pccur to the narrator in these lines? how is this an example of situational irony? When launching a new clothing line, a company must focus primarily on the needs and wants of ______. Multiple choice question. competitors corporate partners consumers suppliers Joe, a user, reports that his new smart wearable device is not synchronizing to his mobile device. Both devices are powered on, but the mobile device fails to read the data from the wearable. Which of the following will MOST likely fix this issue?A. Pair the devicesB. Set the SSIDC. Update the smart wearable device firmwareD. Enable NFC Which volumes of DoDM 5200. 01 provide guidance and direction on classification management, marking, protection, and handling requirements for classified information What two conclusions might a ruler of an empire draw from the decline of the Han, Roman, and Gupta empires? The government should allow officials to use tax money as they see fit. A strong, loyal army is necessary to protect the empire from invaders. Government officials should be chosen only by military officials. The government should try to prevent internal rebellions. The people should be isolated from other cultures to keep the empire strong. A catapult has two rubber bands, each with a square cross-section with a width 4 mm and length 300 mm. In use its arms are stretched to three times their original length before release. Assume the the modulus of rubber is 10-3 GPa and that it does not change when the rubber is stretched. How much energy is stored in the catapult just before release? During the War of 1812, why did enslaved Black men like Frisby Harris choose to fight for the side that they did?They wanted to live in Canadian provinces like Nova Scotia.They received money from the government of Trinidad.Great Britain promised to secure their freedom.Tecumseh had asked for their help before he was killed. In the 1800s, many white Southerners followed the Southern Code 1. and as a result free African Americans in the North were treated worse than enslaved African Americans in the South. 2. because they owned large plantations where they cultivated cotton, which was a major cash crop in the South. 3. because enslaved workers did work that was not considered ladylike or gentlemanly. 4. and as a result most of them did not have enslaved workers and disagreed with the practice of slavery. How does DHS balance the protection of the nation's borders with the freedom of movement of legitimate travelers and goods across the borders For polynomial function f, if f(3)=5 and f(5)=-2, what do we know about any roots of f(x)? Activity Luna I made the 3. 8 x 105 kilometers trip to the moon in 2. 16 x 10 minutes. In this activity, you will determine the average speed of Luna! using division Part A Write an expression for the speed of Luna I In kilometers/minute. Represent this expression as a quotient of two numbers expressed in scientific notation. How do you calculate the change in unemployment rate? what is an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 Find a polynomial which when added to the polynomial 3x^2+3x-1, is equaivelant to the following expressions: 1 Washington Irving is significant to American literature because A. He was the first best-selling American author in the United StatesB. He was the first best-selling American author internationallyC. He was one of the first writers to use American settings for storiesD. All of the choices are correct Write 63 521. 769 correct to the nearest hundred he Sioux and Sitting Bull led the attack on General George Armstrong Custer's cavalry at the Battle of Little Big Horn. Why did the Sioux take this course of action