On a map's coordinate and, Walt City is located at (-1.-3) and Kashvile is located (4,9) How long is a train's route as the train travel wong a strainers Walty to Kosher What is the midpoint between the Walt City and the

Answers

Answer 1
\(\begin{gathered} \text{the distance between two points is } \\ d(X,Y)=\sqrt[]{(x_1-y_1)^2+(x_2-y_2_{})^2} \\ \text{now, X = (-1,-3) and Y=(4,9)} \\ d(X,Y)=\sqrt[]{(-1-4)^2+(-3-9)^2} \\ =\sqrt[]{(-5)^2+(-12)^2} \\ =\sqrt[]{25+144} \\ =\sqrt[]{169} \\ =13 \\ \\ d(X,Y)=13 \end{gathered}\)\(\begin{gathered} \text{And the midpoint between two points is } \\ M=\frac{X+Y}{2} \\ M=\frac{(-1,-3)+(4,9)}{2} \\ M=\frac{(-1+4,-3+9)}{2} \\ M=\frac{(3,6)}{2} \\ M=(\frac{3}{2},\frac{6}{2}) \\ M=(1.5,3) \end{gathered}\)


Related Questions

what is the value of x ?
Enter your answer in the box . ° ?

what is the value of x ? Enter your answer in the box . ?

Answers

Answer:

307°

Step-by-step explanation:

The sum of all the angles of a hexagon is equal to 900°.

So,

112+x+120+100+128+133 = 900

593+x = 900

x = 900-593

x = 307°

So, the value of x is equal to 307°.

help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6

Answers

The solutions for the given system of equations are (-9, 33) and(-2, 12).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

A company had inventory of 5 units at a cost of $20 each on November 1. On November 2, it purchased 10 units at $22 each. On November 6 it purchased 6 units at $25 each. On November 8, it sold 18 units for $54 each. Using the LIFO perpetual inventory method, what was the cost of the 18 units sold?

Answers

Using the LIFO perpetual inventory method, the cost of the 18 units sold is $420.

The perpetual inventory strategy known as LIFO (Last In, First Out) is predicated on the idea that the most recent inventory purchases are sold first.

In order to account for the number of units sold, we use this method to count backward from the most recent inventory acquisition.

The business sold 18 units on November 8, which is more than its most recent purchase of 6 units on November 6. Therefore, starting with a total of 18 units, we first use the 10 units from the November 2 purchase and the 8 units from the November 6 buy.

10 units were bought on November 2 for a total of $220, or $22 each unit. The 8 pieces that were bought on November 6 cost $25 apiece, for a total of $200. Hence, $220 plus $200 equals $420 for the 18 units that were sold.

The cost of the 18 sold units, calculated using the LIFO perpetual inventory approach, is $420.

Learn more about LIFO here:

https://brainly.com/question/17236535

#SPJ1

Determine the equation of the circle graphed below.

Determine the equation of the circle graphed below.

Answers

Answer:

(x - 2)² + (y + 4)² = 29

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

(h, k) is the center and ris the radius

-----------------------------------

For center (2, -4)

(x - 2)² + (y + 4)² = r²

use the distance formula to find d² which is the same as r²

r² = d² = (x2 - x1)² + (y2 - y1)²

r² = (4 - 2)² + (1 - -4)²

r² = 2² + 5²

r² = 29

Now the equation becomes

(x - 2)² + (y + 4)² = 29

Which function does this graph represent ?

Which function does this graph represent ?

Answers

Answer: B

Step-by-step explanation:

a is negtive  bcs grph opens down. h value is -1 and k is +2

Answer is b I had this same question

J(-6-2)3-*NWMark this and return2--9-8-7-6-5-4-3-2-3₁ 1 2 3 4 5 61-5737-2-cd-6--7--8-2 do-9--10--11--12--13-8 9 10 11 xK(8,-9)What is the x-coordinate of the point that divides thedirected line segment from J to K into a ratio of 2:5?X == (m²²7 m )(x₂ − ×₁) + X₁m+n0 000-22Save and ExitNextSubmit

J(-6-2)3-*NWMark this and return2--9-8-7-6-5-4-3-2-3 1 2 3 4 5 61-5737-2-cd-6--7--8-2 do-9--10--11--12--13-8

Answers

Use the given formula:

\(x=(\frac{m}{m+n})(x_2-x_1)+x_1\)

Being m: 2 and n: 5

x1: -6

x2: 8

\(\begin{gathered} x=(\frac{2}{2+5})(8-(-6))+(-6) \\ \\ x=\frac{2}{7}*(14)-6 \\ \\ x=4-6 \\ \\ x=-2 \end{gathered}\)Then, the x-coordinate of th point that divides the directed line segment from J to K into a ratio 2:5 is -2Answer: -2

Rin spends $20 every week on drum lessons.


The two variables are:


d = total amount of dollars Rin spends


w = number of weeks


Which statements are correct? Select all that apply.


The independent variable causes a change in the


dependent variable.


The equation is d = 20w.


The equation is w = 20d.


D As the number of weeks increases, the total dollars


Rin spends increases.


As the number of weeks increases, the total dollars


Rin spends decreases.


1213


weeks


(w)


dollars


(d)


20


40


60


80

Answers

Answer:

A, B , D edge 2020

Step-by-step explanation:

Answer:

Its A, B, and D.

Step-by-step explanation:

wait, have you smiled today? its very important:)

TOPIC=Rearranging

Task:Make x the subject of these equations

6x + v = 4x + w

ax + 9 = 2x + b

7x - w = vx+4

6 - wx = vx + 4

3(wx-v) = 4(x+v)

Answers

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Question 1-3
Which gives the exact value of the equation 15x=3?

Answers

Answer:

The value of x in 15x=3, is 1/5 or 0.2

Select the correct answer from each drop-down menu.
Consider right triangle ABC.
A
sin(A) =
cos(A) =
Reset
40
41
11
=
Next
B
9
C

Select the correct answer from each drop-down menu.Consider right triangle ABC.Asin(A) =cos(A) =Reset404111=NextB9C

Answers

Answer:

sinA =9/41. CosA=40/41

Step-by-step explanation:

in right triangles, the sine, cosine and tangent represent ratios of the sides of a triangle. Sine of an angle is the ratio of the side opposite the angle divided by the hypotenuse and the cosine of the angle is side adjacent (touching) the angle divided by the hypotenuse.

The value of Sin A = 9 / 41 and the value of Cos A = ( 40 / 41).

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

here, we have,

The values of the angels will be calculated by using the trigonometry property.

Sin A = Perpendicular / Hypotenuse

Sin A = 9 /41

Cos A = Base / Hypotenuse

Cos A =  40 / 41

Therefore the value of Sin A = 9 / 41 and the value of Cos A = ( 40 / 41).

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ5

The concentration of a drug in an organ at any time t (in seconds) is given by
C(t) =
0.25 - 15(1 - e-t/60) if Osts 20
15e-t/60 - 10e-(t - 20)/60 if t > 20
where C(t) is measured in milligrams per cubic centimeter (mg/cm3).
(a) What is the initial concentration of the drug in the organ?
0
mg/cm3
(b) What is the concentration of the drug in the organ after 10 sec? (Round your answer to three decimal places.)
mg/cm
the organ after 26 sec? (Round your answer to three decimal places.)
(c) What is the concentration of the drug
mg/cm3

Answers

Answer:

The concentration of a drug in an organ at any time t (in seconds) is given by s 0.25t - 15(1 - e-t/60) if osts 20 | 15e-t/60 – 10e-(t - 20)/60 if t> 20 where c(t) is measured in milligrams per cubic centimeter (mg/cm3). (a) What is the initial concentration of the drug in the organ? 0 mg/cm3 (b) What is the concentration of the drug in the organ after 14 sec? (Round your answer to three decimal places.) x mg/cm3 38 (c) What is the concentration of the drug in the organ after 40 sec? (Round your answer to three decimal places.) mg/cm3 Need Help? | Read It

Based on the information in the table, what
was the approximate value of this item in
1980?

Based on the information in the table, whatwas the approximate value of this item in1980?

Answers

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

what is the product of 2/3a and (3b+2)?

Answers

Answer:

\(\frac{2(3b+2)}{3a}\).

Step-by-step explanation:

1. Write the expression.

\(\frac{2}{3a} *(3b+2)\)

2. Apply the distributive rule of multiplication.

Take a look at the attached image.

\((\frac{2}{3a} *3b)+(\frac{2}{3a} *2)\\ \\\frac{2*3b}{3a} +\frac{2*2}{3a}\\ \\\frac{6b}{3a} +\frac{4}{3a}\)

3. Add up the fractions.

\(\frac{6b+4}{3a}\)

4. Factorize the numerator.

\(\frac{2(3b+2)}{3a}\).

what is the product of 2/3a and (3b+2)?

After completing the following frequency table, find the mode?
(Round your answer to 2 decimal places.)
Price
Frequency
Product Frequency
$59
7
$69
9
79
12.
$89
14
999
8
Total

Answers

1000 your welcome no problem

"We should express our emotions in a manner that doesn't hurt others or harm our emotional well-being" Do you agree? Explain with an example. plzz help me I will the best ans brainliest ( and also this is MORAL SCIENCE)

Answers

It should be noted that we should express our emotions in a manner that doesn't hurt others. Therefore, the statement is logically true.

What is emotion?

Emotion simply means the feeling that's conveyed through our words or actions.

It's important for us to consider others whenever we are doing a particular thing. Therefore, we should express our emotions in a manner that doesn't hurt others.

Learn more about emotions on:

https://brainly.com/question/26059612

Whysudushysususuajsbzgstsysyzyxyzyzusushshshshhshshshshshshshshdhdususududu

Whysudushysususuajsbzgstsysyzyxyzyzusushshshshhshshshshshshshshdhdususududu

Answers

Answer:

b) -6

Step-by-step explanation:

\(2\sqrt{10+n} = 4\)

Divide both sides by 2

\(\sqrt{10+n} = 2\)

Square both sides of the equation

\(10+n=4\)

Isolate the variable

\(n = 4 - 10\)

\(4 -10 = - 6\)

\(n = - 6\)

Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
determine the numerical length of RS

Answers

Answer:

2

Step-by-step explanation:

The required measure of the numerical length of RS is 4.

Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.

What is line?

A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.

Here,

Point S is on line segment RT
The total length of RT,

RT = RS + ST
4x = 4x - 4 + 2x
4x  = 6x - 4
2x = 4
x = 2

RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4

Thus, the required measure of the numerical length of RS is 4.

Learn more about lines here:

brainly.com/question/2696693

#SPJ2


Write the sum of the circumferences of all three circles in factored form.

Write the sum of the circumferences of all three circles in factored form.

Answers

Answer:

2π(x+y+z)

is the factorization

If you’re currently making $10.50 per hour and you’re offered a new job that pays $11.75 per hour, what will be your percent of increase in pay?

Answers

Answer: To find the percent increase in pay, you can use the following formula:

percent increase = ((new pay - old pay)/old pay) * 100

Plugging in the values given in the question, you get:

percent increase = ((11.75 - 10.50)/10.50) * 100

= (1.25/10.50) * 100

= 0.119047619 * 100

= 11.9047619%

Therefore, the percent increase in pay is approximately 11.9%.

Step-by-step explanation:

N
3
Two friends, Andrew and Liz, are playing a game using this spinner. If the
spinner lands on region 1, Andrew wins. If it lands on region 2, Liz wins. If it
lands on region 3, nobody wins.
Is this a fair game?

Answers

Answer:

The answer is B both players have 1/4 of chance of winning so it is a fair game

Step-by-step explanation:

What is the estimated sum of fifty-five, sixty, and sixty-five using compatible numbers?

Answers

Answer:

escapingdatprison445

A median of a triangle may fall outside the triangle.

A median of a triangle may fall outside the triangle.

Answers

Answer:

false

Step-by-step explanation:

I dont think I need to explain,

what does 3 - (-8) equal????

Answers

Answer:

11

Step-by-step explanation:

3-(-8) = 3+8

= 11

ii. A machine is sold for 7,000/-. The gross loss is 20% of the cost. What are the cost and gross loss?

Answers

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

\(x-20\%\text{ of }x=7000\)

\(x-\dfrac{20}{100}x=7000\)

\(x-0.2x=7000\)

\(0.8x=7000\)

Divide both sides by 0.8.

\(x=\dfrac{7000}{0.8}\)

\(x=8750\)

So, the cost of the machine is 8750/-.

Now,

\(\text{Gross Loss}=\text{Cost}-\text{Selling price}\)

\(\text{Gross Loss}=8750-7000\)

\(\text{Gross Loss}=1750\)

Therefore, the gross loss is 1750/-.

Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer​

Answers

Each classmate would get 1/5 of a box.

Answer:

1/5 of a box of candy

Step-by-step explanation:

Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).

Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00

Answers

The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

What is the mean?

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

Learn more about the mean at https://brainly.com/question/1136789.

#SPJ1

Consider the probability statements regarding events A and
B below.

P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8

What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667

Answers

The calculated value of the probability of B is (c) 0.25

How to calculate the probability of B

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =

Answers

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

For more such questions on congruent

https://brainly.com/question/29789999

#SPJ8

patricia walked 1/8 of a mile to her aunts house yesterday. Tomorrow she plans to walk two and a half times as far in order to practice for her schools walk a thon. patricia knows that two and a half is the same as the fraction 5/2 how many miles will patricia walk tomorrow? Express the answer as a fraction in lowest terms

Answers

Patricia walked 1/8 of a mile to her aunt yesterday.

Since she plans to walk two and a half times as far, 5/2. Multiply 1/8 by 5/2:

\(\frac{1}{8}\cdot\frac{5}{2}=\frac{5}{16}\)

She plans to walk tomorrow 5/16 miles.

Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.

Required:
a. Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope.
b. Provide a graph complete with labels and units for the x- and y-axes.
c. Describe the amplitude, period, and vertical shift in terms of the real-world situation.

Answers

Answer:

a. An example of a real situation that can be represented by a sinusoidal function is a Ferris wheel

b. The graph of the sinusoidal function representing the Ferris wheel created with Microsoft Excel is attached

c. The amplitude is the radius of the Ferris wheel

The period is the time it takes to complete one cycle

The vertical shift is the height of the wheel above ground

Step-by-step explanation:

Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns,
Other Questions
Can someone help me with this 1st question please Explain how the particles move before, during, and after melting.Before:During:After: Write an article for publication in the ICAG journal of public financial management on the topic: "Understanding the contingency fund"The article should cover the objectives, the operations, success, and challenges of the fund. Adequate reference should be made to recent activities of the fund. Elizabeth and Steven are pushing the cabinet to the right. Elizabeth applies 5 a force of 40 N and Steven exerts a force of 55 N. What is the Net Force? O 15 N Left 15 N Right 95 N Left O 95 N Right Sophisticated diction uses which of the following kind of vocabulary words Predict the sign of DSsurr for the following processes.a. H2O(l) H2O(g)b. I2(g) I2(s) Please help! Find the missing side lengths. If you must round 1 decimal place. What is the federal government's role in education?. You bought a notebook for $2 and 6 packs of crayons. Ifyou spent a total of $26, how much was each pack ofcrayons? Bella is making a sculpture. she has pieces of copper pipe that are 4 centimeters long and 13 centimeters long.what is a possible third length of copper pipe that will make a triangle? Why did the lands of germany and italy not become united during the middle ages?. The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean =242 seconds and standard deviation =13 seconds.Amelia only likes to use the drive-through for restaurants where the average wait time is in the bottom 15% for that town.What is the maximum average wait time for restaurants where Amelia likes to use the drive-through? Round to the nearest whole second. (1) In 1995, the American Academy of Pediatrics declared that "advertising directed at children is inherently deceptiveand exploits children under eight years of age." (2) The academy did not recommend a ban on such advertisingbecause it seemed impractical and would infringe upon advertisers' freedom of speech. (3) Today the health risks facedby the nation's children far outweigh the needs of its mass marketers. (4) Congress should immediately ban alladvertisements aimed at children that promote foods high in fat and sugar. (5) Thirty years ago Congress bannedcigarette ads from radio and television as a public health measure-and those ads were directed at adults. (6) Smokinghas declined ever since. (7) A ban on advertising unhealthy foods to children would discourage eating habits that arenot only hard to break, but potentially life-threatening. (8) Moreover, such a ban would encourage the fast-food chainsto alter the recipes for their children's meals. (9) Greatly reducing the fat content of McDonald's Happy Meals, forexample, could have an immediate effect on the diet of the nation's kids. (10) Every month more than 90 percent of thechildren in the United States eat at McDonald's.F8. Click on the logical inference.a. The author suggests that children's poor eating habits are as serious a health problem as adult's smoking.b. TV commercials and other ads probably have little effect on children's behaviors.c. The author believes fast-food chains can be convinced to voluntarily refrain from advertising unhealthy foods foryoung children. i think it's D, can someone verify?this is actually a music question but there's no music topic so.. Which Spanish colonial explorer influenced European interest in the Pacific Northwest?O Vitus BeringO Manuel QuimperJuan PrezO Francisco Eliza Based on the pressure systems shown on the map, in which direction do you expect the wind to be blowing at the weather station in Bellingham, Washington? Remember, wind directions are given in terms of where the wind is coming from, not where it is going. What areas were included in the Visigoth migration that took place from 376 to 476, illustrated here on this map?Select one:a. Europe and Asiab. Asia and Indiac. India and Europe Use the excerpt from the documentation of the Magnolia gins and presses at the Magnolia Plantation in Natchitoches Parish, Louisiana, to answer the question.In the decades leading up the Civil War, cotton productionA. increased exponentially in order to keep up with rising market demand.B. declined as a component of the United States economy.C. increased the demand for manufactured cloth produced in England.D. declined because there were insufficient technological gains for ginning. which of the following is a limitation of the spreading activation model of semantic memory? help with this question please, its middle school math