Can someone help me please


Chapter 13/14. The Civil War. Watch the Hari Jones TED talk. Then, answer the following questions in 7-10 sentences. Then, respond to two different classmates' posts by asking a question or challenging their assertions (respectfully). Try to make sure everyone has a response to their post. Finally, respond to the question or assertion your classmate(s) replied to you. Responses are meant to acknowledge what the other student has communicated, and either expand on their ideas, or push back on them, then offer positive feedback. Consider using the following template: "Hi _____. I was interested in ______ about your post because _______. Also/However, ______. I think ______ because _____. Do you think/feel _____/? I feel _____. "

In serving in the military, what contributions did African Americans make to the Union war effort?

What kinds of discrimination did they face? What kind of heroism did they exhibit, and when?

Write a reaction to Dr/ Jones' TED talk. What did you know/not know? What surprised/amazed/angered/made you proud/saddened/made you happy?

Answers

Answer 1

Hi Annie. I was interested in engaging you about your post because of my differing view. However, I think I am open to changing my views because I am not dogmatic. Do you think I am too pliable?

How did African Americans contribute?

Throughout the Civil War, African Americans assumed crucial roles in the Union war effort. From enlisting as soldiers to acting as laborers and even spies, their contributions left an indelible impact on history.

Despite being subjected to rampant discrimination and racism from both Confederacy and Union forces, these individuals exhibited incredible heroism and bravery.

Excelling in dangerous missions that often led them to become prisoners of war, they persevered as they fought for the freedoms of themselves and others.

Hari Jones' TED talk shines a much-needed light on this overlooked aspect of history, revealing not only the extensive involvement of African American soldiers but also the pivotal role played by women in areas such as nursing, cooking, and espionage.

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Related Questions

5 years ago i was 5 times older then my son. in 8 years time i will be 3 times older then my son. how old am i today?

Answers

Answer:

70 , 18

Step-by-step explanation:

Keeping x as Father and y as son;


5 years ago Person X was 5 times older than Person y , so the equation will be:

x - 5= 5(y-5)

x = 5y - 20

simularily after 8 years , x will be 3 times older than y , so

x + 8 = 3(y + 8.)

I will now try to find y by equating value of x into y:

5y - 20 + 8 = 3y + 24

5y - 3y = 24 + 20 - 8

2y = 44 - 8 = 36

y = 18

so x will be =  5 (18) - 20.

x = 90-20 = 70 years.

therefore father is 70 years , and son is 18 years old.


PLEASE HELP ME QUICK!!!!

Answers

Answer:

B. $7.50

Step-by-step explanation:

We know profit or P-----P(n) where n is the quantity/number of the item) is the difference of the revenue-----R(n)-----and the cost-----C(n)

P(n) = R(n) - C(n)

Revenue is

the product of price (p) of the item and, number/quantity (n) of the item:

R(n) = pn

Cost is a combination of

fixed costs (represented by a constant (c), as the business or Indvidual making a profit must pay a certain cost, even if they don't make any of their items) and, variable costs (this costs changes depending on the number/quantity of the item and is the product of the marginal cost (m) and the number/quantity (n) of the item)

The cost function resembles a linear equation:

C(n) = mn + c

Since we're shown that P = 7.5n - (2.25n + 15), we know that R(n) must be R(n) = 7.5n and C(n) must be C(n) = 2.25n + 15

Thus, we know she charges $7.5 per necklace sold.

what is the volume of this triangular prism?

Answers

The volume of the triangular prism is 36 in³.

What is a triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

To calculate the volume of the triangular prism, we use the formula below

Formula:

V = bhH/2.................... Equation 1

Where:

b = Base of the triangleh = Height of the triangleH = Height of the prism

From the question,

Given:

b = 3 inh = 4 inH = 6 in

Substitute these values into equation 1

V = 3×4×6/2V = 36 in³

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If Melisha can pay for her vehicle with a 4-year loan or with a lease with the same down payment and same interest rate, why will the loan have a higher monthly payment?

A. Because the lease is riskier to the financing company.

B. Because the loan is riskler to the financing company.

C. Because Melisha will own her vehicle at the end of the loan.

D. Because Melisha will own her vehicle at the end of the lease.

Answers

The loan have a higher monthly payment Because the lease is riskier to the financing company.

To Determine the costs of buying versus leasing a motor vehicle, we need to consider the total costs associated with each option. For buying, the total cost is the sum of the down payment, loan payments, and the estimated value at the end of the loan, minus the resale value of the car.

On the other hand, for leasing, the total cost can be calculated as the sum of the security deposit, lease payments, and end-of-lease charges. We also need to consider the opportunity cost of investing the down payment and the security deposit.

We know that Melisha can pay for her vehicle with a 4-year loan or with a lease with the same down payment and same interest rate.

Therefore, the loan have a higher monthly payment Because the lease is riskier to the financing company.

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please find the SA and can you please explain?
Please hurry if you can.

Answers

Answer:

Rounding to the nearest hundredth, the surface area of the regular hexagonal pyramid is approximately 663.2 square centimeters.

Step by Step Explanation:

The surface area of a regular hexagonal pyramid can be calculated using the formula:

Surface area = (1/2) x Perimeter of base x Slant height + Base area

To find the perimeter of the hexagonal base, we can use the formula:

Perimeter of hexagon = 6 x Length of one side

Since the base edge length is 8 centimeters, the length of one side of the hexagon is also 8 centimeters. Therefore, the perimeter of the hexagonal base is:

Perimeter of base = 6 x Length of one side = 6 x 8 = 48 centimeters

To find the base area of the pyramid, we can use the formula:

Base area = (3/2) x (Square root of 3) x (Length of one side)^2

Substituting the values, we get:

Base area = (3/2) x (Square root of 3) x (8)^2 = 96(sqrt(3)) square centimeters

Now we can substitute the values into the surface area formula:

Surface area = (1/2) x Perimeter of base x Slant height + Base area

Surface area = (1/2) x 48 x 15 + 96(sqrt(3))

Surface area = 360 + 96(sqrt(3)) square centimeters

Diane is a camp counselor she designs a new obstacle course in testicles with three friends. The plot data shows the time it takes them to complete the obstacle course. What is the mean of time

Answers

To find the mean time it takes for Diane and her friends to complete the obstacle course, we added up the time taken by each person and divided by the total number of people. The mean time is 13.0 minutes.

Add up the time taken by each person

Diane: 12

Friend 1: 14

Friend 2: 10

Friend 3: 16

Total time = 12 + 14 + 10 + 16 = 52 minutes

Count the total number of people:

Diane and three friends, so the total number of people = 4

Divide the total time by the total number of people to find the mean time

Mean time = Total time / Total number of people

Mean time = 52 / 4

Mean time = 13.0 minutes

Therefore, the mean time it takes for Diane and her three friends to complete the obstacle course is 13.0 minutes.

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--The given question is incomplete, the complete question is given

" Diane is a camp counselor she designs a new obstacle course in testicles with three friends. The plot data shows the time it takes them to complete the obstacle course. What is the mean of time

the plot data for the time taken by each person in minutes is as follows

Diane: 12

Friend 1: 14

Friend 2: 10

Friend 3: 16 "--

A new television set was recently purchased for the common room in a Residence Hall for $451.50 including tax. If the tax rate is 5%​, find the price of the television set before taxes.

Answers

Answer:

430

Step-by-step explanation:

Let's call the price of the television set before taxes "x".

The total cost including tax is $451.50, which is equal to x plus 5% of x (the tax). In other words:

x + 0.05x = $451.50

Simplifying the left side by factoring out x, we get:

1.05x = $451.50

Dividing both sides by 1.05, we get:

x = $430

Therefore, the price of the television set before taxes was $430.

A coach asked her athletes if they enjoy running. Fifty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.


The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.


What is the total percentage of the athletes who enjoy cycling?


9%

25.5%

55%

74.5%

Answers

Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%

Someone help i really need help with this

Answers

The cost of each admission tickets is 37.5 dollars.

How to find the cost in dollars of each admission ticket?

Ms Boi spent a total of 175 dollars for 4 admission ticket and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of the parking was 25 dollars.

Therefore, the equation that can be use to determine the cost, i of each admission ticket can be represented as follows:

Therefore,

175 = 4i + 25

subtract 25 from both sides of the equation

175 = 4i + 25

175 - 25 = 4i + 25 - 25

150 = 4i

divide both sides by 4

i  = 150 / 4

i = 37.5 dollars

Therefore,

cost of each admission ticket = 37.5 dollars

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Sarah uses a square and two semicircular7 inches regions to design a heart shaped poster find the area of the heart then find the approximate area by using 3.14radius

Answers

The poster has an area equal to 192.423 square inches.

How to determine the area of a heart shaped poster

In this problem we must determine the area of a heart shaped poster, that is, the combination of the areas of a square and two semicircles, whose resulting formula is introduced below:

A = D² + (π / 4) · D²

Where:

A - Area of the heart shaped poster, in square inches.D - Side length of the square, in inches.

If we know that π = 3.14 and D = 7 in, then the area of the poster is:

A = 7² + (π / 4) · 7²

A = (5π / 4) · 7²

A = 192.423 in²

The area of the poster is equal to 192.423 square inches.

Remark

The image is missing and the statement is not well explained. A correct statement is shown below:

Sarah uses a square with side length of 7 inches and two semicircles with diameter of 7 inches to design a heart shaped poster. Find the area of the heart. Then, find the approximate area by using 3.14.

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What is the value of sine at 330

Answers

The value of sine would be 368

What are the x-intercepts of the function f(x)= 4x^2-36 over x-9?

Answers

Therefore , the solution of the given problem of function comes out to be  f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

Describe function.

On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.

Here,

Setting the y-value (or output) of a function to zero and then solving for the corresponding x-values will allow us to determine the x-intercepts of the function.

The function in this instance is f(x) = (4x² - 36)/(x - 9)

=> 4x² - 36 = 0

To make the equation simpler, we can factor out a 4:

=> 4(x² - 9) = 0

We can factor further based on the difference of squares we now have:

=> 4(x + 3)(x - 3) = 0

We may determine the x-values where the function crosses the x-axis by setting each element to zero:

=> x + 3 = 0 or x - 3 = 0

To find x, solve for:

=> x = -3 or x = 3

The function f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.

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Beth pulls a slinky a distance of 24 inches from its equilibrium position and then releases it. The time for one oscillation is 2 seconds. Step 2 of 2 : Find the function in terms of t for the displacement of the slinky. Assume that the slinky is at its maximum displacement at t=0 . Also assume that the function includes no horizontal or vertical shifts.

Answers

The final function for slinky displacement is: 24 sin(t/2 - /2) d(t). This offers the displacement in inches as a function of time in seconds.

How to Solve the Problem?

A sinusoidal function of the form: can be used to describe the slinky's displacement.

A sin(t + ) = d(t).

where A is the greatest displacement, is the angular frequency (2 divided by the period), and is the phase angle (starting phase).

We know the slinky's greatest displacement (amplitude) occurs at t=0, thus we have:

24 inches = d(0) = A sin()

We also know that the period is T=2 seconds because the time for one oscillation (i.e., one complete cycle) is 2 seconds. As a result, the angular frequency is:

ω = 2π / T = π radians/second

The phase angle can be calculated using the fact that the slinky is at its equilibrium position at t=T/4=0.5 seconds. At this time, the sine function's argument is:

= 2 / T = radians per second

The phase angle can be calculated using the fact that the slinky is at its equilibrium position (zero displacement) at t=T/4=0.5 seconds. At this time, the sine function's argument is:

ωt + φ = π/2

When we substitute the known values, we get:

π/2 + φ = 0.5π

φ = -π/2

As a result, the slinky's displacement function is:

A sin(t/2 - /2) = d(t).

We may utilize the information that the amplitude is 24 inches to calculate A:

A = |24| = 24

As a result, the final function for slinky displacement is:

24 sin(t/2 - /2) d(t)

This offers the displacement in inches as a function of time in seconds.

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Kelly bought a new SUV for $28,000. She made a down payment of $11,000 and has monthly payments of $332.63 for 5 years. She is able to pay off her loan at the end of 36 months. Using the actuarial method, find the unearned interest and payoff amount.

Answers

The unearned interest and the payoff amount is $11,022.12 and $18,784.87 respectively

Given data ,

Kelly bought a new SUV for $28,000. She made a down payment of $11,000 and has monthly payments of $332.63 for 5 years.

She is able to pay off her loan at the end of 36 months.

Now , Total interest = (monthly payment x number of months) - loan amount

Total interest = ($332.63 x 60) - $17,000

Total interest = $19,957.80

Next, we need to calculate the interest that has already been paid over the first 36 months of the loan. We can use the formula:

Interest paid = (monthly payment x number of months) - (loan amount - down payment)

Interest paid = ($332.63 x 36) - ($28,000 - $11,000)

Interest paid = $8,935.68

The unearned interest is the difference between the total interest and the interest paid so far:

Unearned interest = total interest - interest paid

Unearned interest = $19,957.80 - $8,935.68

Unearned interest = $11,022.12

To find the payoff amount, we need to add the remaining principal balance to the unearned interest:

Payoff amount = remaining balance + unearned interest

To calculate the remaining balance, we can use the formula for the present value of an annuity:

Remaining balance = monthly payment x (1 - (1 + r)^-n) / r

Where r is the monthly interest rate and n is the number of remaining months. We can solve for r by using the total interest calculated earlier:

r = (Total interest / loan amount) / 12

r = ($19,957.80 / $17,000) / 12

r = 0.0986%

Using this interest rate and n = 24 (the remaining 24 months of the loan), we can calculate the remaining balance:

Remaining balance = $332.63 x (1 - (1 + 0.0986%)^-24) / 0.0986%

Remaining balance = $7,762.75

Payoff amount = $7,762.75 + $11,022.12

Payoff amount = $18,784.87

Hence , the interest is solved

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A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 16 days. At the start of the experiment, 65.7 g is present.
(a) Lett be the time (in days) since the start of the experiment, and let
y be the amount of the substance at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y = ei
(b) How much will be present in 13 days?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
08
X
Oina
3

Answers

Answer:

Step-by-step explanation:

(a) Lett be the time (in days) since the start of the experiment, and let

y be the amount of the substance at time t.

Write a formula relating y to t.

Use exact expressions to fill in the missing parts of the formula.

Do not use approximations.

y = ei

Answer: (a) The formula relating the amount of substance, y, to time, t, is given by:

y = y₀ * e^(-λ*t)

where y₀ is the initial amount of the substance, λ is the decay constant, and e is the mathematical constant approximately equal to 2.71828.

The half-life, T½, is related to the decay constant as:

T½ = ln(2)/λ

We are given that the half-life of the substance is 16 days, so we can solve for λ:

λ = ln(2)/T½ = ln(2)/16

Substituting this value of λ in the formula for y, we get:

y = 65.7 * e^(-ln(2)*t/16)

(b) To find the amount of substance present after 13 days, we substitute t = 13 in the formula for y:

y = 65.7 * e^(-ln(2)*13/16) ≈ 42.1

Rounding to the nearest tenth, we get y ≈ 42.1 g. Therefore, approximately 42.1 g of the substance will be present after 13 days.

Step-by-step explanation:

Use the unit circle to find the exact value of the trig function
cos(210°)

Answers

Answer:

-[tex]\sqrt{3}[/tex]/2

Step-by-step explanation:

cos is negative in quad II

cos(210)= -cos(30) = -[tex]\sqrt{3}[/tex]/2

A fair number cube is rolled twice. After 500 trials of the experiment, the experimental probability of rolling two 3s is 11/50. What is the difference between the number of expected outcomes and the number of actual outcomes?

Answers

The probability of rolling two 3s with a fair number cube is:

P(rolling two 3s) = P(rolling a 3 on the first roll) x P(rolling a 3 on the second roll)
P(rolling two 3s) = (1/6) x (1/6) = 1/36

This is the theoretical probability of rolling two 3s.

The experimental probability of rolling two 3s after 500 trials is 11/50. We can use this value to estimate the actual number of outcomes:

Number of actual outcomes = Experimental probability x Number of trials
Number of actual outcomes = (11/50) x 500 = 110

The expected number of outcomes can be calculated using the theoretical probability:

Number of expected outcomes = Theoretical probability x Number of trials
Number of expected outcomes = (1/36) x 500 = 13.89

The difference between the number of expected outcomes and the number of actual outcomes is:

Difference = Number of actual outcomes - Number of expected outcomes
Difference = 110 - 13.89
Difference = 96.11

Therefore, the difference between the number of expected outcomes and the number of actual outcomes is approximately 96.11.

To reach escape velocity, a rocket must travel at the rate of 2.2×106 feet per minute. Express this number in standard notation.

Answers

The rocket must travel at a rate of 2,200,000 feet per minute to reach escape velocity.

Expressing this number in standard notation.

2.2×10^6 feet per minute is in its scientific notation.

In scientific notation, a number is written as the product of a coefficient and a power of 10.

So, 2.2×10^6 is already in scientific notation, where the coefficient is 2.2 and the power of 10 is 6.

If you want to convert it to standard notation, you can multiply the coefficient by the power of 10:

2.2×10^6 = 2.2 x 1,000,000 = 2,200,000

Therefore, the rocket must travel at a rate of 2,200,000 feet per minute to reach escape velocity.

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Suppose that the length of the three sides of a right triangle are consecutive whole numbers. What is the length of the longest leg?

Answers

The length of the longest leg in the right triangle is 5 units

What is the length of the longest leg?

Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.

By the Pythagorean Theorem, we have:

x^2 + (x + 1)^2 = (x + 2)^2

Set x = 3

So, we have

3^2 + (3 + 1)^2 = (3 + 2)^2

Evaluate

25 = 25

The above equation is trie

So, we have

Longest = x + 2

Longest = 3 + 2

Evaluate

Longest = 5

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Bob wants to break the school record of scoring 30 points in his basketball game. He scored 13 points in the first half. How many two point baskets must Bob make in the second half to break the school record?

Answers

Bob needs to make at least 9 two-point baskets in the second half to break the school record of scoring 30 points in his basketball game.

To break the school record of scoring 30 points, Bob needs to score more than 30 points in his basketball game. Since he scored 13 points in the first half, he needs to score at least 17 points in the second half to break the record.

Let's assume that Bob makes x two-point baskets in the second half. Since each two-point basket contributes 2 points to his score, his total score from two-point baskets would be 2x.

Therefore, to break the school record, we need to solve the following inequality:

2x + 13 > 30

Subtracting 13 from both sides, we get:

2x > 17

Dividing both sides by 2, we get:

x > 8.5

Since Bob cannot make a fractional number of baskets, he needs to make at least 9 two-point baskets in the second half to break the school record.

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1 Complete the steps to find 253 X 34.
253 X 34= 253(30+4)=(x 30) + X 4)
+
253
X 30
90 (30 X 3)
(30 X
11
______X
253 X 34= 7,590 + 1,012 =
253

Answers

Answer:

8602

Step-by-step explanation:

To complete the steps to find 253 X 34, you can follow these steps:

Break down 34 into 30 + 4

Multiply 253 by 30 and 4 separately

Add the two products together

So, 253 X 34 = 253(30+4) = (253 X 30) + (253 X 4) = 7590 + 1012 = 8602

What is the area of this figure?
8 m
6 m
5 m
2 m
13 m
8 m

Answers

Answer:

It's not clear what figure is being referred to. The provided numbers could be dimensions of a shape, but without additional information or context, it's impossible to determine the area of the figure. Can you please provide more details or a diagram?

Step-by-step explanation:

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.

[tex]n = \frac{2}{ \sqrt{3} } = \frac{2 \sqrt{3} }{3} [/tex]

[tex]m = \frac{4 \sqrt{3} }{3} [/tex]

is 1 over 16 the same as 16 A: Yes B.NO ​

Answers

Answer:

1 over 16 is not the same as 16.

1 over 16 is a fraction, which means that it represents a part of a whole. It can be written as 1/16, which means one part out of a total of sixteen equal parts.

On the other hand, 16 is a whole number, which represents a quantity of sixteen units.

So, 1/16 is not equal to 16.

Step-by-step explanation:

1/16 is definitely not the same as 16. 1/16 is seen as 1 part of 16 when 16 is seen as a whole

What is the output for x = -1

Answers

Answer:

f(-1) = 16

Step-by-step explanation:

"output" and the f(x) setup just means to plug in -1 in place of x and calculate.

For the function f(x) = 12(3/4)ˣ you have to already know that once you put that -1 in place of x that the -1 power only goes to the 3/4, not the 12 and also what to do with a negative exponent.

Exponent rules are just shortcuts. The shortcut to know here is that the -1 exponent will flip the 3/4 over and make it 4/3 (there are math reasons for this, it's not random. But that's how it works)

So now you have

f(-1) = 12(3/4)⁻¹ which becomes

f(-1) = 12(4/3)

Now you need to know how to multiply with fractions. Here you have a whole, big number times a fraction, which is:

"big num×top all over bottom"

So multiply the 12 times the 4 and put it over the 3

f(-1) = 48/3 = 16

(or you can "cancel" the 12 with the 3 and get 4×4, which is 16, so it comes out the same)

[SKIP TO HERE IF YOU DON'T CARE WHY]

f(x) = 12(3/4)ˣ

f(-1) = 12(3/4)⁻¹

f(-1) = 12(4/3)

f(-1) = 16

Correct answer gets brainliest!!!!

Answers

Answer:

it is a zero dimensional point

Step-by-step explanation:

points are an exact location represented by a dot.

points do not have dimension (length, width, or height)

The following statement is true regarding the figure above: "It is a point." Therefore, the answer is C.

Write an inequality that matches the number line model. Then write
a situation that the inequality could represent.
25 is less than x

Answers

The answer is 25 < x

What is the measure of Zx?
Angles are not necessarily drawn to scale.
H
A
45
63
I
K

Answers

Applying the triangle sum theorem, the measure of angle x is calculated as: m<x = 72 degrees.

What is the Triangle Sum Theorem?

In a triangle, when all of its interior angles are added together, the triangle sum theorem states that we will get a sum of 180 degrees.

Therefore, we have:

m<AHI = 63 degrees [based on the corresponding angles theorem]

Considering triangle AHI, applying the triangle sum theorem, we will have the following:

m<x + m<AHI + m<A = 180°

Substitute:

m<x + 63 + 45 = 180°

m<x + 108 = 180°

m<x = 180 - 108 [subtraction property of equality]

m<x = 72 degrees.

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find 15x2 2/3 using the distributive property

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60 + 90, just multiply 15 by 2 and you get 30 so after get 30 you will multiply both by 30 which is 60 + 90

Graphing Geometry. Show work

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A graph of the reflection of line segment AB is shown on the coordinate plane below.

What is a reflection across the x-axis?

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative.

Furthermore, a reflection across the line y = x would interchange (switch) the x-coordinate and y-coordinate and this is represented by the following transformation rule:

(x, y)                                    →              (y, x)

Ordered pair A = (4, -1)    →        Ordered pair A' = (-1, 4).

Ordered pair B = (4, 5)    →        Ordered pair B' = (5, 4).

In this exercise, we would use an online graphing calculator to plot the image of line segment AB after a reflection about the line y = x.

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