the terms of this sequence increase by the same amount each time _,_,17_,_,29

Answers

Answer 1

Answer:

9, 13, 17, 21, 25, 29

Step-by-step explanation:

Since there is an equal increase of the same amount, the sequence is arithmetic with n th term

Substituting a = 9 and d = 4 into the n th term expression

\(a_{n}\) = 9 + 4(n - 1) = 9 + 4n - 4 = 4n + 5

\(a_{n}\) = a + (n - 1)d

where a is the first term and d the common difference

The third term and sixth term are therefore

a + 2d = 17 → (1)

a + 5d = 29 → (2)

Subtract (1) from (2) term by term, eliminating a, that is

3d = 12 ( divide both sides by 3 )

d = 4

Substitute d = 4 into either of the 2 equations and solve for a

Substituting into (1)

a + 2(4) = 17

a + 8 = 17 ( subtract 8 from both sides )

a = 9

Thus the first term is 9 and the common difference d = 4

The sequence of terms is therefore

9, 13, 17, 21, 25, 29

Substituting a = 9 and d = 4 into the n th term expression

\(a_{n}\) = 9 + 4(n - 1) = 9 + 4n - 4 = 4n + 5


Related Questions

.A honth agency suggested that a healthy total cholesterol measurement should be 200 mgdL or less. Records from 50 randomly and independently selected people from a study conducted by the goney showed the results in the technology output given below. Test the typothesis that the mean cholesterol level is more Pan 200 using a significance level of 0.05 Asurat conditions are met One-Sample T Test of 200 vs > 200 N

Answers

We fail to reject the null hypothesis and do not have sufficient evidence to conclude that the mean cholesterol level is significantly different from 200 mg/dL.

we can conduct a one-sample t-test to test the hypothesis that the mean cholesterol level is greater than 200 mg/dL. The sample size is 50, and we have the recorded cholesterol measurements for these individuals. We will compare the sample mean to the hypothesized mean of 200 mg/dL.

Using a significance level of 0.05, we will perform the t-test to determine if there is sufficient evidence to reject the null hypothesis. If the test statistic falls in the critical region (the tail of the t-distribution), we will reject the null hypothesis and conclude that the mean cholesterol level is indeed higher than 200 mg/dL.

To perform the t-test, we need additional information such as the sample mean, sample standard deviation, and the degrees of freedom. With these details, we can calculate the test statistic and compare it to the critical value from the t-distribution.

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean cholesterol level is higher than 200 mg/dL. Conversely, if the test statistic is not greater than the critical value,

we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the mean cholesterol level is significantly different from 200 mg/dL.

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what is the volume of the truck bed which is
10 feet long, 4 feet wide, and has a height of 3
feet?

Answers

Answer:

120 ft cubed

Step-by-step explanation:

V=lwh

V=10(4)(3)

V=120 ft cubed

Select the answer with the correct number of decimal places for the following sum.
13.914 cm + 243.1 cm + 12.00460 cm = _____
a. 269.01860 cm
b. 269.02 cm
c. 269.0186 cm
d. 269.0 cm
e. 269.019 cm

Answers

Answer:

269.01860??
But i can tell u 13.914 cm + 243.1 cm + 12.00460 cm = 260.01860 not 269.01860

Step-by-step explanation:

Sophie is at the market to purchase apples. She buys 4 red apples and 1 green apple. If Sophie picks an apple at random to eat, what is the probability that she would pick a red apple

Answers

Answer:

Commom Sense

Step-by-step explanation:

Dude It Is Common Sense Which Ever Fruit She Likes Shen Will Buy It. Haha Lol Don't You Know That?!

I need help with this question! Will mark brainliest :)

I need help with this question! Will mark brainliest :)

Answers

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

If A is an invertible n x n matrix, then for each n x 1 matrix b, the system of equations Ax = b has exactly one solution, namely, x = A-¹b. x₁ + x₂ = 5 6x₁ + 7x₂ = 7 x₁ = __
x₂ = __

Answers

To solve the system of equations Ax = b, we can use the formula x = A⁻¹b. In this case, we have the equations: x₁ + x₂ = 5 and 6x₁ + 7x₂ = 7. The solution to the system of equations is: x₁ = 28 and x₂ = -17.

The matrix A can be written as:

A = [1 1]

       [6 7]

And the vector b as:

b = [5]

       [7]

To find x, we can calculate x = A⁻¹b. First, we need to find the inverse of matrix A:

A⁻¹ = (1/(1*7 - 1*6)) * [7 -1]

                                  [-6 1]

Multiplying A⁻¹ by b:

A⁻¹b = [7 -1] * [5] = [7*5 + (-1)*7] = [28]

                     [-6 1]       [-6*5 + 1*7]    [-17]

Therefore, the solution to the system of equations is:

x₁ = 28

x₂ = -17

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Kim poured a 24-ounce container of orange juice into 5 cups. She poured the same amount of juice into each cup. Write a rational number that represents the amount of juice in each cup.Required to answer.Single line text.

Answers

Answer:

4.8

Step-by-step explanation:

24/5 = 4.8

A rational number is any whole number, fraction, finite decimal or repeating decimal. Therefore 4.8 = rational number.

A rational expression to represent the amount of juice in each cup is 24/5.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

Given, Kim divided 24 ounces of orange juice into 5 cups.

Therefore, the amount of juice in each cup is:

24/5

Hence, a rational expression to represent the amount of juice in each cup is 24/5.

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Can you please tell me the table of 12?

Can you please tell me the table of 12?

Answers

Answer:

you have the table of the 12in the photo

Step-by-step explanation:

Answer:

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

12×8=96

12×9=108

12×10=120

In your question

the table of 12 is correct

hope it is helpful to you ☺️☺️☺️☺️☺️

Can someone please solve this before I get my phone taken away?

Can someone please solve this before I get my phone taken away?

Answers

Answer:

option 1 or should be

Step-by-step explanation:

4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah

Question 1 (Essay Worth 10 points)


(01. 02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:


A horizontal number line extends from negative 3 to positive 3. The point A is at negative 1. 5, the point 0 is labeled as X, and the point labeled B is at 0. 5.


Write an expression using subtraction to find the distance between the two jellyfish. (5 points)


Show your work and solve for the distance using additive inverses. (5 points)

Answers

An expression to find the distance between the two jellyfish is B - A.

The distance is 2.0 meters.

What is a number line?

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Therefore, the required expression for the distance between the two jellyfish is given by;

Distance = B - A

Distance = 0.5 - (-1.5)

Distance = 0.5 + 1.5

Distance = 2.0 m.

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Question 1 (Essay Worth 10 points)(01. 02 MC)The number line shows the distance in meters of two jellyfish,

The Olson family uses up a
1/2
-gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

The Olson family drinks milk at a rate of 1/6 gallon per day.

To find the rate at which the Olson family drinks milk, we need to divide the amount of milk they drink by the time it takes them to drink it.

They use up a 1/2-gallon jug every 3 days, so their rate of milk consumption is:

(1/2 gallon) ÷ (3 days) = 1/6 gallon per day

A gallon is a unit of volume measurement commonly used in the United States and some other countries. There are different types of gallons, but the most commonly used ones are:

US liquid gallon (abbreviated as "gal" or "US gal"): This is a unit of volume used for measuring liquid substances. It is defined as exactly 3.785411784 liters or approximately 0.83267418 Imperial gallons.

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Can someone help me do this

Can someone help me do this

Answers

The answer is Angle T = angle N

18a - 24ay + 48b - 64by​

Answers

Answer:

Step-by-step explanation:

6a(3-4y)+16b(3-4y)

(6a-16b)(3-4y)

2(3a-8)(3-4y)

She is correct^ she even simplified it for you.


Find the slope and the y-intercept of the graph of the linear equation.
y = -7x+2

Answers

Answer:-

\(\longrightarrow \sf Slope = -7 \)

\(\longrightarrow \sf y-intercept = 2\)

Solution:-

The equation of any straight line can be written as in slope intercept form as -

\(\green{ \underline { \boxed{ \sf{y=mx+c}}}}\)

where,

m is its slope c is its y-intercept.

\(\leadsto\)Comparing the equation y = -7x+2 with the standard form of the equation, we get -

\(\quad\)m= -7\(\quad\)c= 2

Hence,

slope of y=7x−2 is - 7 y -intercept is 2

N is the in center of △ABC. Use the given information to find NS.


NQ=2x
NR=3x−2

Answers

Given that N is the incenter of △ABC, NS = 4.

What is the Incenter of a Triangle?The incenter of a triangle is the point of concurrency of the three angle bisectors of a triangle.The perpendicular distances from each sides of the triangle to the incenter are equal.

Given the image where:

NQ = 2x

NR = 3x − 2

NQ = NR = NS (equidistant from the incenter)

Thus:

2x = 3x - 2

Add like terms

2x - 3x = -2

-x = -2

x = 2

NQ = NS = 2x

Plug in the value of x

NS = 2(2)

NS = 4

Therefore, given that N is the incenter of △ABC, NS = 4.

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N is the in center of ABC. Use the given information to find NS.NQ=2xNR=3x2

Select each relation that has a range of {-5, 0, 4, 7}?
Responses

A{(4, 2), (0, 6), (-5, 12), (7, 6), (4, -3)}

B{(18, 4), (-1, 0), (-3, -5), (6, 7), (2, 4)}

C{(6, -5), (-11, 0), (6, 4), (-3, 7), (2, 9)}


D{(0, 6), (-5, 12), (7, 6), (4, -3)}

E{(6, -5), (-2, 4), (4, 7), (1, 0)}


F{(-5, 4), (-2, 4), (4, 7), (1, 0)}

Answers

Answer: E and B

I did the quiz

A relation that has a range of {-5, 0, 4, 7} is:{(6, -5), (-2, 4), (4, 7), (1, 0)}

The correct answer is an option (E)

In this question, we have been given some relations.

We need to find a relation that has a range of {-5, 0, 4, 7}

We know that in a relation is a set of ordered pairs (x, y)

where x is input and y is output.

We know that range is collection of all output values.

Therefore, a  relation that has a range of {-5, 0, 4, 7} is:

E {(6, -5), (-2, 4), (4, 7), (1, 0)}

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Guys please please help me with this question
The table models how the population of a city has changed over time. What does the y-intercept represent?
(5 pts)
Years since 1985
0
5
10
15
20
25
30
35
40
Population
122,000 119,000 118,000 119,000 122,000 127,000 134,000 143,000 154,000

Guys please please help me with this question The table models how the population of a city has changed

Answers

The y-intercept represents the initial population of the city

What is the y-intercept?

The y-intercept is the point where the line on a graph crosses the y-axis. The y-intercept is the value of the data set when x is zero. It is the initial population of the city. The y-intercept in this question is 122,000.

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3. For each of the following production functions, determine
whether it exhibits increasing, constant or decreasing returns to
scale:
a) Q = 2K + L
b) Q = 3L + L/K
c) Q = Min(2K,L)
d) Q = L*K

Answers

a) Increasing returns to scale

b) Decreasing returns to scale

c) Constant returns to scale

d) Increasing returns to scale

To determine whether each production function exhibits increasing, constant, or decreasing returns to scale, we need to analyze how the output (Q) changes when all inputs are proportionally scaled up.

a) Q = 2K + L

This production function exhibits increasing returns to scale because when all inputs (K and L) are increased proportionally, the output (Q) increases by a greater proportion. For example, if both K and L are doubled, the output will more than double.

b) Q = 3L + L/K

This production function exhibits decreasing returns to scale because when all inputs (L and K) are increased proportionally, the output (Q) increases, but at a diminishing rate. Doubling both L and K will result in an output increase, but not by a proportionally greater amount.

c) Q = Min(2K, L)

This production function exhibits constant returns to scale because when all inputs (K and L) are increased proportionally, the output (Q) increases by the same proportion. If both K and L are doubled, the output will also double.

d) Q = L * K

This production function exhibits increasing returns to scale because when all inputs (L and K) are increased proportionally, the output (Q) increases by a greater proportion. Doubling both L and K will result in an output increase by a factor of 4 (twice as many L and twice as many K).

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y = 2х-4
6x-3y = 12 (Needs [x,y] solution)

Answers

Answer:

Can't be answered, as written.

Step-by-step explanation:

Please check the equations.  As written, they are the same:

y=2x-4 and 6x-3y=12

The second, 6x-3y=12, can be rewritten:

-3y = -6x + 12

y = 2x - 4   is the same as the first equation.

========

I'll do an example based on a different first equation.  Let's try:

y = 4x-4 and 6x-3y=12

There are two equations and 2 unknowns.  We can solve this in either of two ways:  Mathematically and Graphically.  Let's try both.

Mathematically.

Pick either equation and isolate one of the variables (x or y)

I'll chose the first, since the variable y is already isolated.  (the efficient approach)

y = 4x-4

Take the second equation and use the definition of y provided by the first equation in place of y is the second:

6x-3y = 12

6x-3(4x-4) = 12  [Substituted the value of y given in the first equation]

6x - 12x + 12 = 12

-6x=0

  x= 0

Use x = 0 in either equation to find y:

y = 4x-4

y=4*(0)-4

y = -4

The solution (where the lines intersect) is (0,-4)

We can also solve this graphically.  

Plot the two lines and look for their intersection.  The attached graph shows that to be (0,-4).

y = 2-46x-3y = 12 (Needs [x,y] solution)

what is 3 and 1/6 as an improper fraction

Answers

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

can someone help plz :')

can someone help plz :')

Answers

Answer:

c]

Step-by-step explanation:

Choose one the following for the scenarios below. A) There is strong evidence for a strong relationship. B) There is strong evidence for a weak relationship. C) There is weak evidence for a strong relationship. D) There is weak evidence for a wear relationship. If a linear regression has a small r value and a small p-value, which is the safest interpretation? Choice : If a linear regression has a small r value and a large p-value, which is the safest interpretation? Choice: If a linear regression has a large r value and a small p-value, which is the safest interpretation? Choice:

Answers

If a linear regression has a small r value and a small p-value, the safest interpretation is "there is weak evidence for a relationship." This suggests that there may be some association between the two variables, but it is not strong or significant.

If a linear regression has a small r value and a large p-value, the safest interpretation is "there is weak evidence for a relationship." This suggests that there may be some association between the two variables, but it is not strong or significant.

If a linear regression has a large r value and a small p-value, the safest interpretation is "there is strong evidence for a relationship." This suggests that there is a strong and significant association between the two variables.

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What is the value of x if x * x + 2x - 35 = 0?

Answers

Answer:

x = 5, -7

Step-by-step explanation:

\(x^2+2x-35=0\)

\(\mathrm{Solve\;with\;quadratic\;formula}\)

\(x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-35\right)}}{2\cdot \:1}\)

\(x_{1,\:2}=\frac{-2\pm \:12}{2\cdot \:1}\)

\(\mathrm{Separate\:the\:solutions}\)

\(x_1=\frac{-2+12}{2\cdot \:1},\:x_2=\frac{-2-12}{2\cdot \:1}\)

\(x=\frac{-2+12}{2\cdot \:1}:5\)

\(x=\frac{-2-12}{2\cdot1}:-7\)

\(\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\)

\(x=5\) and \(x=-7\)

~Learn with Lenvy~

8. Look at the spinner below. Allie spins the spinner 2 times.. K SA % What is the probability she will spin a on the first spin and & on the second spin? (if you can could you please explain how you got the answer)​

8. Look at the spinner below. Allie spins the spinner 2 times.. K SA % What is the probability she will

Answers

If Allie spins the spinner 2 times. the probability that Allie spins A on the first spin and & on the second spin is: B. 1/16.

How to find the probability?

Based on the information provided, the spinner has four possible outcomes: K, S, A, and %, each with equal probability of 1/4.

To find the probability that Allie spins A on the first spin and & on the second spin, we need to multiply the probability of spinning A on the first spin (1/4) by the probability of spinning & on the second spin (1/4), because the two events are independent.

Therefore, the probability is:

P(A on first spin and & on second spin) = P(A) × P(&) = (1/4) × (1/4) = 1/16

So the probability that Allie spins A on the first spin and & on the second spin is 1/16.

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can you please help me with this one

can you please help me with this one

Answers

Answer:

6x=-60

Step-by-step explanation:

On average, what value is expected for the F-ratio if the null hypothesis is true? a. 1 b. k-1 c. N-k on average, what value is expected for the F-ratio if the null hypothesis is false? a.1 b. 0
c. Between 0 and 1.00 d. Much greater than 1.00

Answers

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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0.55 to .1 percentage decrease

Answers

>> Answer

_______

\(0.55 \to0.1\)

\( = \frac{55}{100} \to \frac{10}{100} \)

\( = 55\% \to10\%\)

= -45%

a 15-foot statue casts a 20-foot shadow. how tall is a person who casts a 4-foot-long shadow? question 19 options: a) 5 feet b) 0.33 feet c) 3.75 feet d) 3 feet

Answers

Answer:

d

Step-by-step explanation:

the ratio of height : shadow of statue is 15 : 20 = 3 : 4

the ratio of height : shadow of person will also be 3 : 4

jet height of person be h , then

\(\frac{h}{4}\) = \(\frac{3}{4}\) ( cross- multiply )

4h = 12 ( divide both sides by 4 )

h = 3

then the person is 3 feet tall

Answer:

d) 3 feet

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST PLS HURRY: New homeowners hire a painter to paint rooms in their house. The painter pays $100 for supplies and charges the homeowners $25 for each room they want painted.

Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?

I WILL GIVE YOU BRAINLIEST PLS HURRY: New homeowners hire a painter to paint rooms in their house. The
I WILL GIVE YOU BRAINLIEST PLS HURRY: New homeowners hire a painter to paint rooms in their house. The
I WILL GIVE YOU BRAINLIEST PLS HURRY: New homeowners hire a painter to paint rooms in their house. The
I WILL GIVE YOU BRAINLIEST PLS HURRY: New homeowners hire a painter to paint rooms in their house. The

Answers

Answer: Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation: i hope this helps you

Answer:

Answer  B, shows a line going from point (0, 60) to point (3, 120).

Step-by-step explanation:

Given the following parameters for a sampling distribution of sample proportions, calculate the sample proportion. Round your answer to two decimal places. p = 0.62, x = 68, n = 100

Answers

The sample proportion is 0.68 or 68% when rounded to two decimal places.

To calculate the sample proportion, you can use the formula:
Sample proportion (p) = x/n where x is the number of successes and n is the sample size. In this case, p = 0.62 (population proportion), x = 68, and n = 100.
Now, plug in the given values:
p = 68/100
p = 0.68

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Raven applies overhead based on direct labor hours. The variable overhead standard is 17 hours at $26 per hour. During July, Raven spent $225,700 for variable overhead. 8,140 labor hours were used to produce 250 units. What is the variable overhead rate variance? Multiple Choicea. $8,450 unfavorable b. $4,225 unfavorablec. $14,060 unfavorabled. $8,450 favorable Venus Company applies overhead based on direct labor hours. The variable overhead standard is 6 hours at $4.70 per hour. During October, Venus Company spent $251,800 for variable overhead. 55,440 labor hours were used to produce 9,400 units. What is the variable overhead rate variance? Multiple Choice a. $8,768 favorable b. $4,512 favorablec. $13,280 favorabled. $4,512 unfavorable 2. A map has a scale of 1 cm: 3 miles. On the map, the distance between the two townsis 7 cm.Write a proportion that could be solved to find the actual distance between the twotowns. 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Solve and graph each solution set.2 s f(x) = 20, where f(x) = 3x - 1 A rectangular prism is 9 inches long and 9.1 inches wide. Its volume is 286.65 cubic inches. What is the height of the rectangular prism? height = inchesplease :( ####help which of the following most accurately describes locational arbitrage?purchasing a currency at a location where the price is high and immediately selling it at another location where it the price is lowerpurchasing a currency at a location where it is cheaply priced and then selling it back to the same location at the same ratepurchasing a currency at a location where it is cheaply priced and immediately selling it at another location where it is priced at the same rate as the original locationpurchasing a currency at a location where it is cheaply priced and immediately selling it at another location where the price is higher a company has the following per unit recorded cost and replacement cost relating to its inventory: item 1 5 units cost $50 market $45 item 2 7 units cost $60 market $65 item 3 9 units cost $30 market $25 applying the lower of cost or market method, the reported value of this company's ending inventory if lcm is applied to individual items is . multiple choice $870 $905 $920 $940 Emma and Lily jog in the same direction along a straight track. For 0t15, Emmas velocity at time t is given by E(t)=7510t27t+80.22 and Lilys velocity at time t is given by L(t)=12t3e0.5t. Both E(t) and L(t) are positive for 0t15 and are measured in meters per minute, and t is measured in minutes. Emma is 10 meters ahead of Lily at time t=0, and Emma remains ahead of Lily for 0 Solve the blank: This equation for this graph is y=____x + _______ the ______ displays by default at the top of the navigation pane when you open file explorer. During 2016 Green Thumb Company introduced a new line of garden shears that carry a two-year warranty against defects. Experience indicates that warranty costs should be 2% of net sales in the year of sale and 3% in the year after sale. Net sales and actual warranty expenditures were as follows: Net sales Actual warranty expenditures 2016 $ 45,000 $ 1,000 2017 120,000 3,500 At December 31, 2017, Green Thumb should report as a warranty liability of: The Western Roman Empire collapsed for many reasons, includingA) food surpluses. B) the Empire's neglect of the navy. C) Muslim invasions into Western Europe. D) expensive wars with neighboring tribes.