The slope of (3,6) and (5,2)

Answers

Answer 1

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{The\ slope\ formula\ is: \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\mathsf{y_2=2}\\\mathsf{y_1=6}[/tex]

[tex]\mathsf{x_2=5}\\\mathsf{x_1=3}[/tex]

[tex]\mathsf{Equation: \dfrac{2-6}{5-3}}\\\\\bullet\mathsf{2-6=-4\leftarrow your\ \bf{y}\mathsf{\ value}}\\\\\bullet{\mathsf{5-3=2\leftarrow your\ \bf{x}\ \mathsf{value}}}\\\\\mathsf{New\ equation/answer:\ \dfrac{-4}{2}}\\\\\boxed{\bf{Answer:\mathsf{-2\ or\ \dfrac{-4}{2}}}}[/tex]

[tex]\text{Good luck on your assignment enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]


Related Questions

Find the missing side length of S

Answers

Answer:

s=12

Step-by-step explanation:

Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.

[tex]\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12[/tex]

I had 20 dollars and earned 15, leaving me with 35. What is the percent that it increased in pay?

Answers

Answer:

42.8%

Step-by-step explanation:

I asked Alexa lol

Answer:

The answer is 40%

Step By Step Explanation:

The reason why is because if you do 10 divided by 25 you get 0.40 and then if you multiply it you get 40 = 40%

Name the property the equation illustrates.
-4x-1/4=1

Answers

Answer:

Distrbutive Property

Step-by-step explanation:

Final answer:

The equation -4x - 1/4 = 1 illustrates the addition property of equality.

Explanation:

The property illustrated by the equation -4x - 1/4 = 1 is the addition property of equality. According to this property, if you add the same number to both sides of an equation, the equality of the equation is maintained. To isolate the variable, we need to get rid of the constant term (-1/4) on the left side of the equation by adding 1/4 to both sides. This simplifies the equation to -4x = 1 + 1/4. Then, divide both sides by -4 to solve for x.

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Write an expression in simplest form to represent the area of the shaded region
3x+2 2x 3x 4x

Answers

12x+2

explication:
2x+3x= 5x
5x+3x= 8x
8x+4x= 12x + 2
Answer:12x+2Step-by-step explanation:2x+3x= 5x5x+3x= 8x8x+4x= 12x + 2

Steve is buying a new car at the dealership. The price tag on the car reads $17,000.00. However, the salesman offers to sell him the car for 15% off the price tag. If sales tax is 8%, how much does the car cost after tax?

Answers

Answer:

$15606000

Step-by-step explanation:

17,000,000*.15 (15% off)

$ 2550000 off

17,000,000

-2550000

$14450000 (15% off)

*1.08 (sales tax)

$15606000

sorry if it is incorrect

Answer:

if the sale tax comes first before the 15% off,

Sales Tax: 1360

so the price became 18360

Price Off: 2754

18360 - 2754 = 15606

if the sale tax comes after the 15% off,

Price Off: 2550

17000-2550 = 14450

eight percent of 14450 is 1156

14450+1156 = 15606

anyways, the price is the same no matter if the sales tax comes first or the discount comes first

Substitute x+3y=4
2x-6y=8

Answers

Answer:

x=4, y=0. (4, 0).

Step-by-step explanation:

x+3y=4

2x-6y=8

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

x=4-3y

2(4-3y)-6y=8

8-6y-6y=8

8-12y=8

12y=8-8

12y=0

y=0/12

y=0

x+3(0)=4

x+0=4

x=4-0

x=4

Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is the likelihood of this event?
A.
The probability is 1, and the event is certain.
B.
The probability is 3/11 , and the event is likely.
C.
The probability is 6/11, and the event is unlikely.
D.
The probability is 6/11 , and the event is neither likely nor unlikely.

Answers

Answer:

D. The probability is 6/11, and the event is neither likely nor unlikely

Step-by-step explanation:

54% = 6/11

Answer:

D

Step-by-step explanation:

d - 10 - 2d + 7 = 8 + d - 10 - 30

Answers

D= 14.5 I promise dawg

Answer:

[tex]d=14.5[/tex]

Step-by-step explanation:

Given equation:

         [tex]d - 10 - 2d + 7 = 8 + d - 10 - 30[/tex]

To solve the equation for 'd', take the terms of 'd' to one side and the constants to the other side.

         [tex]d - 2d - d = 8 - 10 - 30- 7+10[/tex]

                 [tex]-2d=8-30-7\\-2d=1-30\\-2d=-29\\ d=\frac{29}{2}\\ d=14.5[/tex]

On, solving the equation the value of 'd' is [tex]d=14.5[/tex]

What value of r makes the equation true
2(3r + 11) = (7r - 3r)

Answers

Answer:

r=-11

Step-by-step explanation:

Solve for r:

2 (3 r + 11) = 7 r - 3 r

7 r - 3 r = 4 r:

2 (3 r + 11) = 4 r

Expand out terms of the left hand side:

6 r + 22 = 4 r

Subtract 4 r from both sides:

(6 r - 4 r) + 22 = 4 r - 4 r

6 r - 4 r = 2 r:

2 r + 22 = 4 r - 4 r

4 r - 4 r = 0:

2 r + 22 = 0

Subtract 22 from both sides:

2 r + (22 - 22) = -22

22 - 22 = 0:

2 r = -22

Divide both sides of 2 r = -22 by 2:

(2 r)/2 = (-22)/2

2/2 = 1:

r = (-22)/2

2 | 1 | 1

| 2 | 2

- | 2 |  

| | 2

| - | 2

| | 0:

Answer: r = -11

Yesenia is 168 miles from Chicago. If she needs to be in Chicago in 3 hours, at what rate does she need to drive?

Answers

she needs to be driving at 56 mph

Answer:

56 per hour

Step-by-step explanation:

168 divided by 3

Angie wants to purchase mulch for her tulip garden. The dimensions of her garden are 6 feet by 8 feet. If mulch is sold by the square yard, determine how many square yards of mulch she must purchase and how much it costs. The price of the mulch is 1.50 per square yard.

Answers

Answer:

72 dollars

Step-by-step explanation:

mean of 10 observations is 2.5.if one observation 2.5 is deleted,determine the new mean​

Answers

Answer: 2.5

Step-by-step explanation:

Mean m = Sum s ÷ no of observation n

m = 2.5, n = 10

2.5 = s ÷ 10

s = 10 × 2.5

s = 25.

If one observation 2.5 is deleted from sum 25, new sum equals 25 — 2.5 = 22.5.

The no of observation becomes 9.

Therefore new mean = 22.5 ÷ 9

m = 2.5.

How this helps?

Final answer:

The question is about calculation of a new mean after deleting an observation from a data group. Despite deleting an observation of 2.5 from a data set with a mean of 2.5, the mean remains the same.

Explanation:

The subject matter is about computing the mean of a data set after a data point has been deleted. Starting off, we know we initially have 10 observations with a mean of 2.5. Therefore, the total sum of the observations can be calculated by multiplying the mean with the number of data points (2.5 * 10) to get 25.

Now, if we are to delete one observation worth 2.5, we have to subtract it from our total of 25 to get a new sum of 22.5. Then, we also decrease the number of data points by 1, which leaves us with 9 data points.

Finally, the new mean can be calculated by dividing the new sum by the new number of data points. In this case, it would be 22.5 divided by 9, which equals 2.5. Thus, the mean remains the same even after deleting the observation of 2.5.

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Doug makes a parallelogram-shape sign for his shop.

What is the area of this parallelogram?

Round to the nearest hundredth.


A. 5.32 ft²

B. 8.96 ft²

C. 14.28 ft²

D. 17.02 ft²
Parallelogram A B C D with side A D parallel to side B C and side A B is parallel to side D C. Point E is on side A B and is connected to point D by a dotted line. Point F is on side DC and connected to B by a dotted line. Angle D E B and angle F B E are right angles. A E and F C are 1.9 feet each. E B is 3.2 feet. F B is 2.8 feet.

Answers

Answer:

14.28 ft squared

Step-by-step explanation:

The formula for the area of a parallelogram is base times height.

Add 3.2 to 1.9 to get the base, and 2.8 is the height.

(3.2 + 1.9) x 2.8

5.1 x 2.8 = 14.28

14.28

Which of the following equations would result in destructive interference with the wave y= -2sin(2pi/3 x)?
A.) y= -2sin(2pi/3 x)
B.) y=2sin(2pi/3 x)
C.) y= -2sin 3pi/2 x)
D.) y=2sin (3pi/2 x)

Answers

Answer:

B: 0.449 secs

A, C, and D: y=2sin(pi/5x), y=2sin(pi/10x), y=2sin(10pi x)

B: y=2sin(2pi/3x)

Answer:

B. y=2sin(2pi/3x)

Step-by-step explanation:

If a circle has a radius of 12 feet, whats its circumference most nearly?

Answers

Answer:24π feets

Step-by-step explanation:

Since the circumference C= 2πr and r=12

C= 2x12xπ

C=24π

The length of a rectangle is 2 units more than the width. The area is 63 units. What is the width, in units, of the rectangle?

Answers

First, let's write what the question says in equation form:

(The length of a rectangle is 2 units more than the width)
L = w + 2

(The area is 63 units)
L * w = 63

Since we already know the value of L ('w + 2'), we can simply input that into the equation to solve for area:

L * w = 63
(w + 2) * w = 63

w^2 + 2w = 63
Subtract both sides by 63:

w^2 + 2w - 63 = 0
Factor:
(w + 9)(w - 7) = 0

We get two answers:
{-9, 7}
Since the width can't be negative, the only possible answer is 7.

w = 7

We can input 'w' into the first equation:
L = 7 + 2
L = 9

The width is 7 units, and the length is 9 units,

-T.B.

Answer:

the width is 7. i just did this in deltamath

Step-by-step explanation:

You received an order for a 28-day supply for Propranolol HCI 120mg tablets po q.i.d. to prevent post M I reinfection How many tablets will be dispensed for the 28-day supply?

Answers

112 tablets will be dispensed for the 28-day supply.

Step-by-step explanation:

Given:

Received an order of 120 mg tablet po q.i.d. for a 28-day supply.

Here in medical prescription, the term 'po' and 'q.i.d' means a lot to understand the question.

In medical prescription, the term 'po' refers the treatment that should be taken orally. i.e. by opening mouth or the way of openingIn medical prescription, the term 'q.i.d' refers four times in a day.

Therefore, to find the number of tablets need to be dispensed for 28- day supply is given by,

[tex]number\ of\ the\ tablet\ for\ 28- day \times number of tablets taken in a day =28 \times 4[/tex]

tablets to be dispensed for the 28-day supply = 112 tablets.

What is 4/9 as a decimal

Answers

Answer:

0.4 and alot of other 4's

Step-by-step explanation:

Answer:

.44444444 repeating

Any number less than 9 over 9 will be itself forever after a decimal point

Step-by-step explanation:

What is the answer to 4•4+4(5-2)+7

Answers

Answer:

35

Step-by-step explanation:

4 x 4+4(5-2)+7

4 x 4+4(3)+7

16+12+7

28+7

35

-2 square root 20- square root 125

Answers

Answer:-5.93958251....

Step-by-step explanation:

To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.

The question asks to simplify the expression -2√20 - √125.

First, let's simplify the square roots by factoring out squares from under the radical:

√20 = √(4×5) = √4√5 = 2√5√125 = √(25×5) = √25√5 = 5√5

Now let's substitute these simplified forms back into the original equation and simplify:

-2(2√5) - 5√5 = -4√5 - 5√5

Combine like terms to get the final simplified result:

-9√5

complete question given below:

simplify -2 square root 20- square root 125

4(a+5) in distributive form

Answers

Answer:

4a+20

Step-by-step explanation:

Answer:4a + 20

Step-by-step explanation:

The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2018. Approximate the mean and standard deviation for age.
Age: 25-34. 35-44. 45-54. 55-64
Number 22.1. 31.5. 37.7. 25.3
(Millions)

Answers

Answer:

Mean  = 45.178

Standard Deviation = 10.33

Step-by-step explanation:

class                m              frequency, f           m [tex]\times[/tex] f            f [tex]\times[/tex] [tex]m^{2}[/tex]      

25 - 34          29.5                22.1                   651.95         19232.525

35 - 44           39.5                31.5                  1244.25        49147.875

45 - 54           49.5                37.7                  1866.15        92374.425

55 - 64            59.5               25.3                 1505.35        89568.352

                                          116.6                    5267.7           250323.15

mean = [tex]\frac{5267.7}{116.6} = 45.178[/tex]      standard deviation  = [tex]\sqrt{\frac{250323.15 - \frac{(5267.7)^2}{116.6} }{(116.1 - 1)} } = 10.33[/tex]

                                       

The mean of a distribution is the average of the distribution ; it is the sum of observation divided by the count of the observation.

The mean age is 45.18The standard deviation is 10.29

Given that:

[tex]\begin{array}{ccccc}{Age}&25-34&35-44&45-45&55-64\\{Number}&22.1&31.5&37.7&25.3\end{array}[/tex]

First, we calculate midpoint of each class.

This is the sum of the class interval divided by 2.

So, we have:

[tex]x_1 = \frac{25+34}{2} = 29.5[/tex]

[tex]x_2 = \frac{35+44}{2} = 39.5[/tex]

And so on...

The table becomes:

[tex]\begin{array}{ccccc}{Age}&25-34&35-44&45-45&55-64&{Number(f)}&22.1&31.5&37.7&25.3&{x}&29.5&39.5&49.5&59.5\end{array}[/tex]

The mean of the distribution is:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{29.5 \times 22.1 + 39.5 \times 31.5 + 49.5 \times 37.7 +59.5 \times 25.3}{22.1 + 31.5 + 37.7 +25.3}[/tex]

[tex]\bar x = \frac{5267.7}{116.6}[/tex]

[tex]\bar x = 45.18[/tex]

The standard deviation is calculated as follows:

[tex]\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f}}[/tex]

[tex]\sigma= \sqrt{\frac{(29.5 - 45.1)^2\times 22.1 + (39.5 - 45.1)^2 \times 31.5 + (49.5 - 45.1)^2 \times 37.7 + (59.5 - 45.1)^2 \times 25.3}{22.1 + 31.5 + 37.7 +25.3}}[/tex]

[tex]\sigma= \sqrt{\frac{12342.176}{116.6}}[/tex]

[tex]\sigma= \sqrt{105.85}[/tex]

[tex]\sigma= 10.29[/tex]

Hence:

The mean age is 45.18The standard deviation is 10.29

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Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14) as follows. m = StartFraction 14 minus (negative 2) Over 3 minus (negative 5) EndFraction = StartFraction 16 Over 8 EndFraction = 2. y = 2 x + b. Negative 2 = 2 (negative 5) + b. Negative 2 + 10 = negative 10 + b + 10. b = 8. What is the equation of the line in slope-intercept form?

Answers

y = 2x + 8 is the equation of line in slope intercept form

Solution:

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14)

To find:  Equation of the line in slope - intercept form

The equation of line in slope intercept form is:

y = mx + c ------ eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Find the slope of line

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex](x_1, y_1) = (-5, -2)\\\\(x_2, y_2) = (3, 14)[/tex]

Therefore,

[tex]m = \frac{14-(-2)}{3-(-5)}\\\\m = \frac{14+2}{3+5}\\\\m = \frac{16}{8}\\\\m = 2[/tex]

Thus slope of line is 2

Find the y intercept:

Substitute m = 2 and (x, y) = (-5, -2) in eqn 1

-2 = 2(-5) + c

-2 = -10 + c

c = -2 + 10

c = 8

Thus the equation of line is:

Substitute c = 8 and m = 2 in eqn 1

y = 2x + 8

Thus the equation of line is found

Answer:

the answer is y=2x+8

Step-by-step explanation:

(-4.7)^0 Does anyone have the answers to the Exponents and Exponential Functions Unit test

Answers

The answer to (-4.7)⁰ is 1

How to solve the exponent

We have a rule of thumb that Any non-zero number raised to the power of 0 is equal to 1.

This is a fundamental rule in mathematics and is consistent across all real numbers.

So, when you have (-4.7)⁰, you're essentially raising the number -4.7 to the power of 0.

Even though -4.7 is negative, it's still a non-zero number. Therefore, according to the rule, (-4.7)⁰ equals 1.

a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36

Answers

Answer:

A. 250

B.40

C.225

D.24

Step-by-step explanation:

20/0.08 = 250

30/0.75 = 40

45/0.2 = 225

36/1.5 = 24

Answer:

a. 8% of 250 = 20

b. 75% of 40 = 30

c. 20% of 225 = 45

d. 150% of 24 = 36

Step-by-step explanation:

20×100÷8

=250

30×100÷75

=40

45×100÷20

=225

36×100÷150

=24

Can someone please answer this question please answer it correctly please show work please

Answers

Answer:

3)  A

4)  D

Step-by-step explanation:

3)

Find any four points where y intersects with x on graph A

(-4 , 2)        (-2 , 1)          (4, - 2)           (2 , -1)    

Find the relationship(s) between x and y

(-4 , 2)        (-2 , 1)          (4, - 2)           (2 , -1)    

x = -2y       x = -2y        x = -2y           x = -2y

It is shown that there is a direct proportional relationship between x and y, (x = -2y)

Repeat for graphs B, C, and D

Find any four points where y intersects with x on graph B

(3 , 2)           (5 , 4)          (-3 , -4)              (-4 , -5)

Find the relationship(s) between x and y    

x = 1.5y         x =  1.25y       x =  0.75y       x =  0.8y

As you can see, there is not a constant direct proportional relationship between x and y. B is not the correct answer

Graph C

Find any four points where y intersects with x on graph C

(-5 , -3)         (-1 , -3)      (1 , -3)          (5 , -3)

Find the relationship(s) between x and y    

x = 1.67y    x = 0.3y   x = -0.3y        x = -1.67y

Once again, there is not a constant direct proportional relationship between x and y, so C is not the correct answer

Graph D

Find any four points where y intersects with x on graph D

(2 , 1)      (2 , 2)      (2 , 3)          (2 , 4)

Find the relationship(s) between x and y    

x = 2y    x = y      x = 0.67y     x = .5y

There is no direct constant relationship between x and y in this graph either.

Graph A is the only graph with a direct proportional relationship between x and y.

4) Allison wants to know whom seventh-grade students will vote for in the upcoming class president election.

A) Every member of the student council

Asking every member of the student council who they are voting for will not help Allison, because it is likely that there are multiple grades involved in the student council, when Allison just wants to know the opinions of seventh-graders. The student council also might have a different opinion than the general seventh-graders.

B) All 12 girls in Allison's homeroom class

It is likely that the girls at Allison's school have a very different opinion than the boys at her school, making this a bad data set.

C) Every tenth student who arrives at school on Monday

Allison only want to know the opinions of seventh-graders, not every tenth student at her school, which would consist of more than seventh-graders.

D) Every tenth name on a roster of all of the seventh-graders at the school

This data set would be the most useful to Allison because it is multi-gender, only seventh-grade, and consists of the general seventh-graders (not part of a special group).

D

Hope this helps :)

A principle of $20,000 is invested at $6.25 and earns $10,000 simple interest how long has the money been invested

Answers

Answer:

1600

Step-by-step explanation:

Assuming $6.25 is the interest earned annually,

Let n be the no. of years

Then,

6.25 × n = 10000

n = 10000/6.25

n = 1600

If 4/5x is -16, what is the value of -2x-15?​

Answers

Answer:

25

Step-by-step explanation:

Given data

(4/5)x = -16

x = -16 (5/4)

x = -20

Now,

-2x-15 = ?

putting the value of x

-2(-20)-15 = 25

The green dots must make up a triangle 1/3 of the original picture PLZ HELP

Answers

Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C

A=. (-6,-3)

B = (-9,6)

C =(3,9)

Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:

A’=(-2,-1)

B’ =(-3,2)

C’ =(1,3)

use the completing the square method to solve the equation x^2 + 16x + 2.

Answers

x = - 0.12 or - 15.87

Step-by-step explanation:

Step 1: Divide the equation with the coefficient of [tex]x^{2}[/tex]. In this case, coefficient of Step 2: Move the number term to the right hand side of the equation. Now, the equation becomes [tex]x^{2} + 16x = -2[/tex]Step 3: Complete the square in the left hand side of the equation and then add the same number to the right hand side to balance the equation. Now, equation becomes [tex]x^{2} +16x+64 = -2+64[/tex]                     So, [tex]x^{2} +16x+64 = 62[/tex]   [tex]ie, (x+8)^{2} = 62[/tex]  Step 4: Take the square root of both sides. Therefore, [tex]x+8 = \sqrt{62}[/tex]               So, [tex]x =[/tex] ± [tex]7.87 - 8[/tex]  

Therefore, [tex]x = -0.12, -15.87[/tex]

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The potential difference between two parallel plates 175 V. An particle with mass of 6.5 10-27 kg and charge of 3.2 10-19 C is released from rest near the positive plate. What is the kinetic energy of the particle when it reaches the other plate? The distance between the plates is 20 cm. 3 What is the y-intercept of the line perpendicular to the line y = -3/4x + 5 that includes the point (-3, 3)? A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds of nutrient a and 2 pounds of nutrient b. Each bag of brand y provides 4 pounds of nutrient a and 1 pound of nutrient b. How many bags of each brand should she buy? the best way to break the accident chain is to prevent the accident. true or false? If I drink two 5 hour energy drinks. Will I have twice the amount of energy for 5 hours or 10 hours of energy? Imagine you borrow $500 from your roommate, agreeing to pay her back $500 plus 7 percent nominal interest in one year. Assume inflation over the life of the contract is expected to be 4.25 percent. What is the total dollar amount you will have to pay her back in a year?What dollar amount of the interest payment is the result of the real rate of interest? a) What is the total dollar amount? b) What is the interest payment? psychology According to several different sources noted in the textbook, the single most preventable cause of death and disease in the United States is ________. drunk driving caffeine use obesity smoking 1.Tienes alguna falda? Question 2Sales siempre los fines de semana? Question 3Quieres comer algo ahora? Question 4 Le prestaste algunos discos de jazz a Csar? Question 5 Podemos ir a la playa o nadar en la piscina? Question 6 Encontraste algn cinturn barato en la tienda? Question 7 Buscaron ustedes a alguien en la playa? Question 8 Te gusta alguno de estos trajes? After working for a few years to formulate just the right Greek yogurt product, Chobani decided it eventually wanted to mass-market through grocery stores. After distributing through smaller stores, their word-of-mouth promotions and online presence began driving customer demand. Hamdi Ulukaya made a pricing decision early on to offer the yogurt for around $1. He made the marketing mix pricing decision based on what assumption? What is the solution of the inequality of 3x-5>4x-3 Determine the intercepts of a line.x-intercept: (__,__)y-intercept: (__,__) ********Please show work*********Kenen loves trains, especially those that run on narrow-gauge tracks. (The gaugeof a track measures how far apart the rails are.) He has decided to build a modeltrain of the Rio Grande, a popular narrow-gauge train.Use the following information to help him know how big his model should be:* The real track has a gauge of 3 feet (36 inches).* His model railroad track has a gauge of 3/4 inches.*The Rio Grande train he wants to model has driving wheels that measure 44 inches high.Your Task: With your team, discuss what you know about the model train Kenen will build.1) What scale factor should he use?2) What will be the height of the driving wheels of his model? A psychological measure (instrument) is said to be _______________ if it (a) correlates highly with other measures of the same construct, (b) is distinct from different construct measures, and (c) is theoretically linked to other important constructs. The following are all potential explanations for the motion of sailing rocks, but not all of them are scientific hypotheses given the rules listed above. Which ones are not scientific hypotheses?Choose one or more:A. animals moving the rockB. the windC. flowing waterD. ghostsE. GodF. magnetic fieldsG. gravity on a slopeH. a human pushing the rockI. magic Dr. Jeffries, a cognitive psychologist, conducts an experiment examining the effect of emotion on memory. She provides lists of 20 words to two groups of participants. The emotion group is given a list of words that are very emotional in content (e.g., passion, murder). The neutral group is given a list of words that are neutral in content (e.g., houseplant, desk). Each group studies the words for 3 minutes. Then, after a 5-min distractor task (watching a video about nature), Dr. Jeffries then measures how many words each group is able to remember. Which of the following is the independent variable in Dr. Jeffries study? Australian Aboriginals painted "contour maps" indicating food and water locations; these maps were then ____ after a ritual celebration. a. hidden b. destroyed c. painted over d. preserved To buy a new guitar, jerry paid a $700 down payment and will pay $50 each month until it is completely paid for. If the total cost of the guitar cost $1,200, how many months will it take to pay for the guitar! Which transaction increases stockholders' equity? A. payment of operating expenses B. expenses greater than revenues for the period C. dividends that are declared and paid D. sale of common stoc ___________ is the level of measurement where outcomes are based on some underlying continuum where it is possible to speak about how much more a higher performance is than a lower one: The concept that represents the main features of a phenomenon such as bureaucracy is called Select one: a. verstehen. b. Gemeinschaft. c. an ideal type. d. objectivity.