NO LINKS!! URGENT HELP PLEASE!!!

Write a rule for the nth term of this arithmetic sequence. Then find a_20.

3. 8, 21, 34, 47, 60, . . .

4. 6, 2, -2, -6, -10, . . .

Answers

Answer 1

Answer:

  3) an = 8 +13(n -1); a20 = 255

  4) an = 6 -4(n -1); a20 = -70

Step-by-step explanation:

You want the rule and the 20th term for the arithmetic sequences ...

  3)  8, 21, 34, ...

  4)  6, 2, -2, ...

Rule

The n-th term of an arithmetic sequence is given in terms of the first term (a1) and the common difference (d) as ...

  an = a1 +d(n -1)

3.

The first term is 8. The common difference is 21 -8 = 13. The rule is ...

  an = 8 +13(n -1)

The 20th term is ...

  a20 = 8 +13(20 -1) = 255

4.

The first term is 6. The common difference is 2 -6 = -4. The rule is ...

  an = 6 -4(n -1)

The 20th term is ...

  a20 = 6 -4(20 -1) = -70

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NO LINKS!! URGENT HELP PLEASE!!! Write A Rule For The Nth Term Of This Arithmetic Sequence. Then Find
Answer 2

Answer:

3. 255

4. -70

Step-by-step explanation:

3.

For the arithmetic sequence 8, 21, 34, 47, 60, ...

The common difference between consecutive terms is d =(21-8)= 13. Therefore, the nth term of the sequence can be expressed as:

[tex]\bold{a_n = a_1 + (n - 1) * d}[/tex]

where [tex]\bold{a_1}[/tex] is the first term of the sequence,

n is the term number, and d is the common difference.

Substituting [tex]a_1 = 8[/tex] and d = 13, we get:

[tex]a_n = 8 + (n - 1) * 13\\a_n = 13n - 5[/tex]

To find [tex]a_{20}[/tex], substitute n = 20 in the above formula:

[tex]a_{20} = 13(20) - 5\\a_{20}= 255[/tex]

4.

For the arithmetic sequence 6, 2, -2, -6, -10, ...

The common difference between consecutive terms is d =(2-6)= -4. Therefore, the nth term of the sequence can be expressed as:

[tex]\bold{a_n = a_1 + (n - 1) * d}[/tex]

where [tex]a_1[/tex] is the first term of the sequence,

n is the term number, and

d is a common difference.

Substituting [tex]a_1[/tex]= 6 and d = -4, we get:

[tex]a_n = 6 + (n - 1) * (-4)\\a_n = 10 - 4n[/tex]

To find [tex]a_{20}[/tex], substitute n = 20 in the above formula:

[tex]a_{20} = 10 - 4(20)\\a_{20}= -70[/tex]


Related Questions

Joe earns $25 mowing his neighbor’s lawn each week (w). He is saving his
money to buy a hoverboard that costs $168. Which inequality matches
this situation? (circle your answer)
a) $168-$25 < w b) $25w > $168 c) $25w < $168

Answers

"The correct option is (C) $25w < $168." This means that Joe needs to save for at least 7 weeks (since he can't save for a fraction of a week) to afford the hoverboard.

The hoverboard costs $168 and Joe earns $25 each week. To determine if Joe can afford the hoverboard, we need to determine how many weeks he needs to save to reach the cost of the hoverboard.

Let's represent the number of weeks Joe needs to save as "x". Each week, he earns $25, so the total amount he will have after "x" weeks is 25x. In order to buy the hoverboard, he needs to have saved $168. Thus, we can write the inequality:

25x ≥ 168

This inequality represents the fact that the amount of money Joe earns after "x" weeks must be greater than or equal to $168, the cost of the hoverboard, for him to be able to afford it. Simplifying this inequality, we get:

x ≥ 6.72.

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discuss four contributing factors tha may lead to learners abusing the rights of others at school​

Answers

Here:

Lack of Respect for Others: A lack of respect for others is a major factor that can lead to learners abusing the rights of others at school. When learners don't respect the rights of their peers, teachers, or other members of the school community, they may engage in behavior that violates their rights.
Bullying: Bullying is another contributing factor that may lead to learners abusing the rights of others at school. When learners bully their peers, they may use their power to intimidate and control others, which can lead to a violation of their rights.
Lack of Consequences: When learners engage in abusive behavior without facing any consequences, they may be more likely to continue their behavior. If there are no consequences for their actions, they may feel that their behavior is acceptable and may continue to violate the rights of others.
Poor School Culture: A poor school culture can also contribute to learners abusing the rights of others at school. When a school environment is not conducive to learning and is marked by aggression, disrespect, or hostility, it can lead to learners feeling less responsible for their actions and less likely to respect the rights of others. Additionally, if the school leadership and staff do not take appropriate steps to address negative behavior and foster a positive school culture, learners may be more likely to abuse the rights of others.

Brainliest please!

2 defective screws out of 100 packs them in boxes of 500 probability of 15 defective screws

Answers

The term (100 C 15) represents the number of ways to choose 15 defective screws out of 100 packs.

In a scenario where there are 2 defective screws out of 100 packs, each containing 500 screws, we can calculate the probability of obtaining 15 defective screws. Let's assume that each pack is independent of the others.

The probability of a single screw being defective is 2/500, as there are 2 defective screws out of 500 in each pack.

Conversely, the probability of a screw being non-defective is 498/500.

To find the probability of obtaining exactly 15 defective screws, we can use the binomial distribution formula. The probability (P) can be calculated as follows:

P = (100 C 15) * (2/500)^15 * (498/500)^85

The term (100 C 15) represents the number of ways to choose 15 defective screws out of 100 packs.

By plugging these values into the formula and performing the calculations, the probability of obtaining exactly 15 defective screws can be determined. However, I am unable to perform the calculation for you within the given word limit.

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What is the slope of the line through (-2,-2)(-2,-2)left parenthesis, minus, -2, comma, -2, right parenthesis and (2,-4)(2,−4)left parenthesis, 2, comma, minus, 4, right parenthesis?

Answers

Step-by-step explanation:

To find the slope of the line between two points, you can use the formula:

slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the given coordinates, we have:

m = (-4 - (-2)) / (2 - (-2))

m = (-4 + 2) / (2 + 2)

m = (-2) / (4)

m = -1/2

The slope of the line through the points (-2, -2) and (2, -4) is -1/2.

please help with this ​

Answers

The solution of the function is as follows:

f(3) = 16

h(0) = -4

h(g(x)) = 3x + 5

g(y) = y + 3

f(x) - h(x) =  x² - x + 5

How to solve function?

A function relates input and output. In other words, a function is an expression that defines a relationship between one variable (the independent variable) and another variable(dependent variable).

Therefore, let's solve the function as follows:

f(x) = x² + 2x + 1

g(x) = x + 3

h(x) = 3x - 4

Therefore,

f(3) =  (3)² + 2(3) + 1 = 9 + 6 + 1 = 16

h(0) = 3(0) - 4 = -4

h(g(x)) = 3(x + 3) - 4 = 3x + 9 - 4 = 3x + 5

g(y) = y + 3

f(x) - h(x) =  x² + 2x + 1  - (3x - 4) =  x² + 2x + 1  - 3x + 4 = x² - x + 5

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30 POINTS! Find the values of x and y

Answers

Given that this is an isosceles triangle, then the lengths of the sides opposite the two 45º angles have to be the same length.

For this reason, x = 8.

 

And since x = 8 and there's only one answer with x=8, the first option must be the answer.

You can calculate the value of y using the Pythagorean Theorem.  

   [tex]y^2 = 8^2+8^2[/tex]
which will lead you to [tex]y=8\sqrt{2}[/tex].  

In 2017 32.2% of college students were minorities. If you took a random group of 500 college students in 2017, then how many of these 500 college students would you expect to be minorities?

Answers

161 of the 500 people

The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?

a. bus

b. car

c. subway

d. train

Answers

A type of transportation is LEAST likely to take more than 30 minutes include the following: d. train.

How to interpret the box-and-whisker plots?

In order to determine the type of transportation that is least likely to take more than 30 minutes for Conrad to get to an appointment at the other end, we would have to compare the median minute for each data set (type of transportation) that is represented on the box-and-whisker plot shown above.

By critically observing the box-and-whisker plot, we can reasonably infer and logically deduce that a train is the type of transportation that is least likely to take more than 30 minutes because its median minute is the lowest compare to the other data set (type of transportation) that is represented on the box-and-whisker plot shown above.

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3.
Carly deposits money into a compound interest account in 2010. The equation P = 600(1.0375)
represents the amount of money in her account, P, after t years.
Determine how much money Carly has in her account in 2047. What was the growth rate?
How long does it take for Carly's account to reach $750? Round answer to the nearest tenth.

Answers

The compound interest is solved and the amount in her account in 2047 is given by A = $ 1315.46

Given data ,

To determine how much money Carly has in her account after 37 years, we need to substitute the value of t as 37 into the equation:

P = 600(1.0375)^t

P = 600(1.0375)^37

P ≈ 600(1.0375)^37 ≈ 600(2.19243) ≈ $ 1315.46

Therefore , Carly has approximately $1315.46 in her account after 37 years.

To calculate the growth rate, we need to find the rate of change between the initial and final amounts over the given time period.

Regarding how long it takes for Carly's account to reach $750, we'll assume you mean when the account reaches or exceeds $750. Let's set up the equation and solve for t:

750 = 600(1.0375)^t

Dividing both sides by 600, we get:

1.25 = 1.0375^t

Taking the logarithm of both sides (base 1.0375):

log(1.25) = t * log(1.0375)

t ≈ log(1.25) / log(1.0375) ≈ 8.5 years

Hence , it takes approximately 8.5 years for Carly's account to reach or exceed $750

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Stefan wants to buy a toy car at the
store. The price is p dollars. He also
has to pay a 6% tax.
Write an expression to represent
how much Stefan will pay in total for
the toy car.

Answers

To calculate the total amount that Stefan will pay for the toy car, we need to add the price of the car and the tax that he has to pay. The tax is calculated as 6% of the price of the car. Therefore, the expression that represents how much Stefan will pay in total for the toy car is:

p + 0.06p

Simplifying this expression, we can factor out p to get:

p(1 + 0.06)

This can be further simplified to:

p(1.06)

Therefore, Stefan will pay a total of p(1.06) dollars for the toy car, which includes the price of the car and the 6% tax.

maya received an 80 dollar gift card for a coffee store. She used it in buying some coffee that cost $8.79 per pound. after buying the coffee she had $44.84 left on her card. How many pounds of coffee did she buy

Answers

__________________________________

= 80 - 44.84= 35.16= 35.16 ÷ 8.79= 4 lbsMaya Bought 4 Pounds of Coffee

__________________________________

Blank x 2 > 2
8 over 8 or 7 over 8 or 9 over 8

Answers

Answer:

dwdaddaw

Step-by-step explanation:

ad plus devide

The values of x and y are proportional. proportionality (k) and find the missing values. 2. UX x 6 15 9 y 42 200 d. X 14 y 21 6 15 3 7 8 Determine the constant of proportionality ​

Answers

Step-by-step explanation:

To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.

Let's examine the given values:

2. UX: x 6 15 9 y 42 200

To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).

k = y / x

k = 42 / 6

k = 7

So, the constant of proportionality (k) is 7.

Now, let's find the missing values for the second set of values:

d. X: 14 y: 21 6 15 3 7 8

Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.

Missing values for y:

- For x = 21, y = 21 * 7 = 147

- For x = 6, y = 6 * 7 = 42

- For x = 15, y = 15 * 7 = 105

- For x = 3, y = 3 * 7 = 21

- For x = 7, y = 7 * 7 = 49

- For x = 8, y = 8 * 7 = 56

Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.

For the line that passes through the points A(5, 8, -2) and B(-1, 3, 5), find:
a. a vector equation.
b. parametric equations.
c. Symmetric equations

Answers

The symmetric equations for the line are:

(36x + 40y - 28z - 100) / 0 = (x-5) / -6 = (y-8) / -5 = (z+2) / 7

To find the parametric equations for the line passing through A(5, 8, -2) and B(-1, 3, 5), we can use the vector equation:

r = A + t(B-A)

where r is the position vector of any point on the line, t is a scalar parameter, and A and B are the given points. Substituting the values, we get:

r = (5, 8, -2) + t((-1)-5, 3-8, 5-(-2))

r = (5, 8, -2) + t(-6, -5, 7)

The parametric equations for the line are:

x = 5 - 6t
y = 8 - 5t
z = -2 + 7t

To find the symmetric equations, we can use the fact that any point on the line is equidistant from points A and B. Thus, the distance from a point (x, y, z) to A must be the same as the distance from the same point to B. Using the distance formula, we get:

√[(x-5)² + (y-8)² + (z+2)²] = √[(x+1)² + (y-3)² + (z-5)²]

Squaring both sides and simplifying, we get:

36x + 40y - 28z - 100 = 0

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variable:
Hours (h)
10
20
30
40
Cost in dollars (c)
80
110
140
170

The table shows the relationship between hours spent dog sitting and the cost of the services. Write an equation to represent the situation using h and c as your variables.

Answers

The solution is it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.

Here,

we can see that the function C(x) = 25x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace your alternator, where x is the number of hours. We can use this function to find the cost of replacing an alternator that is estimated to take 5 hours of labor.

C(5) = 25(5) + 75 = 125 + 75 = 200

We also have the labor cost for the main competitor, Budget Auto Repair, in a table format.

Hours Cost

1          $90

2         $130

3         $170

We can see that the cost of labor increases as the number of hours increases. From the information provided it's hard to say which company would be cheaper to hire, however the company with the function C(x) = 25x + 75 would be cheaper if the alternator takes more than 4 hours of labor, otherwise Budget Auto Repair would be cheaper.

It's important to check the warranty, prices of parts, and reputation of both companies. If a company has a good reputation and a good warranty, it may be worth paying a little more for labor.

It's also a good idea to get a second opinion or ask for a quote from both companies before making a decision.

In conclusion, it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.

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complete question:

19) The function C(x) = 25x+75 represents the labor cost (in dollars) for Bob's Auto Repair to replace

your alternator, where x is the number of hours. The table below shows sample labor costs from its main

competitor, Budget Auto Repair. The alternator is estimated to take 5 hours of labor. Which company

would you hire? Explain.

Hours 1,2,3

Cost

$90 $130 $170

How is graphing (5, 0) different from graphing (0, 5)? Explain.

Answers

Answer: If the number is placed on the X as in (X,Y) the X value will rise but the Y value will stay the same, but if the number is played on the Y, the Y value will go up, and the X value will stay the same

PLEASE HELP ME QUICKLY.
Find the average rate of change between the two labeled points.
[The point in between is (3, 72.6).]

Answers

Answer: 2/13.86

Step-by-step explanation:

A lines rate of change is equal to it's slope

Slope is rise over run (Y/X)

The point is up 2 on the Y axis and over 13.86 on the X axis

The slope is= 2/13.86

A higher credit score reduces your fixed costs because you ____.

A. will pay lower interest rates
B. can have more credit cards
C. are able to carry more debt
D. can reduce the amount you need to borrow

Answers

A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.

What is a higher credit score?

A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.

This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.

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Use the following information to answer questions 9 and 10.
Suppose we drop a ball from a height of 10 feet. After each bounce, it returns to a height that is k% of the height from which it last fell. After the 5th bounce, it returns to a height of 9.04 feet. We will ignore things like friction and air resistance so that the terms form a geometric sequence.
9 . Determine k.
97.51%
98.00%
98.83%
99.15%
10. How many bounces does it take until the ball bounces back to a height less than 3 inches (1/4 of a foot)?

163
183
203
223

Answers

9. The ball returns to 98.00% of its previous height after each bounce Option B

10. It will take 183 bounce until the ball bounces back to a height less than 3 inches.  Option B

How do we solve for k% of previous height?

To solve for k% of previous height after each bounce, we say

10×(k/100)⁵ = 9.04

k = [tex](9.04/10)^{1/5}[/tex]×100

k = 98.00

To find out how many bounces it takes for the ball to bounce back to a height less than 3 inches (or 0.25 feet), we use the inequality

10 × (0.961)ⁿ < 0.25

The logarithm of both sides gives

n × log(0.961) < log(0.025)

n > log(0.025) / log(0.961)

n > 182.593

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If s5= -16.3804 and r=9/10,what is a₁?

Answers

The first term of GP is  a₁ = -4.

Given that,

Sum of five terms of GP = s₅ = -16.3804

Common ratio = 9/10  which is less than 1

Number of terms = n = 5

We know that,

Sum of nth term of GP when common ration is less than 1,

s₅ = a₁(1-[tex]r^{n}[/tex])/(1-r)

Substituting the values,

⇒ -16.3804 = a₁(1-0.9⁵)/(1-0.9)

⇒             a₁ = -16.3804/4.0951

⇒             a₁ = -4

Hence, the value of  a₁ is -4.

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Please help me answer this urgently. I don’t understand and need a clear explanation.

Answers

The current population of the world is approximately 7 billion people. Therefore, 20 percent of the world's population is approximately 1.4 billion people, which is the current population of China. The remaining 80 percent of the world's population is approximately 5.6 billion people.

If China experiences a 5 percent decline in population each year for the next five years, its population will decrease by 5 percent of 1.4 billion, or 70 million people, each year. Therefore, after five years, China's population will be approximately 1.4 billion - (5 x 70 million), or approximately 1.05 billion people.

If the rest of the world experiences a 2 percent growth in population each year for the next five years, its population will increase by 2 percent of 5.6 billion, or 112 million people, each year. Therefore, after five years, the rest of the world's population will be approximately 5.6 billion + (5 x 112 million), or approximately 6.16 billion people.

Thus, at the end of the five-year period, China will account for approximately 14 percent (1.05 billion / 7.21 billion) of the world's population, while the rest of the world will account for approximately 86 percent (6.16 billion / 7.21 billion) of the world's population. Rounding to the nearest percent, we can say that approximately 14 percent of the world's population will live in China at the end of the five-year period.

The cup on Sophie's desk holds 4 red pens and 7 black pens. What is the probability of her selecting first a black pen, and then a red one?​

Answers

Answer:14/165

Step-by-step explanation:

its a fraction i did the same qestion and got it right

8 kilometers == meters​

Answers

Answer: 8000

Step-by-step explanation:

8 kilometers = 8,000 meters

choose the greatest number you can mutiply by 30 you can get close to but not go over 150

Answers

Answer:

If it can be exactly 150, then 50.


there’s not exactly enough info for me to solve.

The height of a tree in feet over x years is modeled by the function f(x). Determine if each statement is True or False.

Answers

The statement is examined using the equation to find that

1. False

2. False

3. True

4. False

How to find the statement is true

The given equation is

f(x) = 32 / ( 1 + e⁰°⁵ˣ)

Evaluating the first statement by substituting

For x = 3, f(3 ) gives 5.84

For x = 6, f( 6) gives  1.52

5.82 - 1.52 is not equal to 9 ft hence the statement is False

Evaluating the second statement by substituting

when x = 0, the function gives 16 which is against 2 ft hence False

Evaluating the third statement by substituting

For x = 1, f(1) = 12.08 this is less than 16 ft hence a decline hence this is True

fourth statement

The trees maximum height, captured should be 16 ft not 35 ft hence False

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2.30 1.99 sales tax 8%

Answers

Answer:

$2.48 and $2.15, respectively

Step-by-step explanation:

2.30 * 1.08 = 2.48

1.99 * 1.08 = 2.15

Which of the following is Playfair's axiom?
A. A straight line segment can be drawn between any two points.
B. A circle can be drawn with any center and radius.
C. Through a given point not on a given line, there is exactly one line
parallel to the given line.
D. All right angles are equal to one another.

Answers

Answer:

C. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

hope i helped

Answer:

Look down

Step-by-step explanation:

Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.

What value of x satisfies the equation −1.5x−2.7=20.1+4.5x

Answers

To solve for x in the equation −1.5x−2.7=20.1+4.5x, we need to isolate x on one side of the equation. We can do this by adding 1.5x to both sides of the equation and adding 2.7 to both sides of the equation, which gives us:

-1.5x - 2.7 + 1.5x = 20.1 + 4.5x + 1.5x

Simplifying the left side of the equation and combining like terms on the right side of the equation gives us:

-2.7 = 6x + 20.1

Subtracting 20.1 from both sides of the equation gives us:

-22.8 = 6x

Dividing both sides of the equation by 6 gives us:

x = -3.8

Therefore, the value of x that satisfies the equation is -3.8.

a train laves los angles at 2pm, heading north at 50mph. If the next train leaves 3 hours later and heads north at 60 mph, at what time will the second train catch up with the first?

Answers

Answer:

8 am

Step-by-step explanation:

First train has a 50 m/hr x 3 hr = 150 mile head start

Second train is going 60 - 50 = 10 m/hr faster and will close this 150 mile distance

 in 15 hours to catch the first train

2pm + 3 hours + 15 hours = 8 am

If 10 +30 +90+...=2657200, what is the value of n?

Answers

The number of terms n of the geometric progression is n = 12

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

10 + 30 + 90 + .... = 2657200

And , let the number of terms be n

common ratio r = 30 / 10 = 3

where sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

On simplifying , we get

2657200 = 10 ( 3ⁿ - 1 ) / ( 2 )

Divide by 5 on both sides , we get

3ⁿ - 1 = 5,31,440

Adding 1 on both sides , we get

3ⁿ = 5,31,441

Taking log on both sides , we get

n = 12

Hence , the number of terms of GP is n = 12

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the evolutionary history and development of whales has been hotly debated. recently there has been a major shift in our understanding of the processes used to detail whale evolution. this indicates that: Which word best describes the home to which the narrator of "My Old Home" returns after many years? A. abandoned B. crowded C. shabby D. tiny whice model represent cutting 40% of the ribbion what type of rocks would you expect to find in a playa lake depositional environment? $150 reduced by 33 1/3% the real image of an object is located 18.8 cm away from a concave mirror, which has a focal length of 8.20 cm. how far is the object from the mirror? Which of the following changes helped General electric improve product delivery from its circuit-breaker division?A. developing individualized custom-designed products.B. Introducing a more streamlined management system.C. Consolidating manufacturing areas.D. Instituting an automated design system The number 24, 22, 34, 28, 29, 24, 25, 29, a and b have a median of 27 and a mode of 29. Given that a < b state the value of a and b Whats the answer to x^7 divide x^2 what is the purpose of charcoal in a charcoal cooler Which of the following pairings of an item and a basis of valuation is incorrect?a Prepaid expenses Cost.b Cash Fair value.c Short-term investments Fair value.d Receivables Lower-of-cost-or-market. A sodium ion, Na+, has the same electron configuration as a(n)A) sodium atom.B) chlorine atom.C) neon atom.D) argon atom. Part A Part B Tap the phrase that helps you understand why Grandpop "tried to get his wind." 1Think About the Process A right rectangular prism has length 3 ft, width 12 ft, and height 2 ft. You use cubes with fractional edge lengthvolume. Find the volume.*ft to find the to create seamless cx, marketers need to create a consumer journey map that: a. closes off the loyalty loop to brand competitors. b. leads the consumer to make a purchase as quickly as possible. c. resembles the generalized consumer journey map as closely as possible. d. is specific to the product and the purchase situation. after running up the hills with danny and ella, ayah watches a hawk circling above them. what does the hawk likely symbolize? The height of a stack of cups is a function of the number of cups in the stack. If a 7.5" cup with a 1.5" lip is stacked vertically, determine a function that would provide you with the height based on any number of cups. Hint Start with the height of one cup and create a table, list, graph or description that describes the pattern of the stack as an additional cup is added. Your income is R18 000 per month. How much can you pay on a house? (1) How does Mama try to influence Walter at the end of the same scene? According to the Thomas theorem, what we do is based on __________ and has objective consequences.A. what is real (objective reality)B. what we think is real (subjective reality)C. what is unreal (fantasy and delusion)D. absolute understanding (of the social construction of reality)