answer please quick

Answer Please Quick

Answers

Answer 1

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Get two points of each line

                       Line 1                   Line 2

Point A            (0, 2)                    (5, 7)

Point B             (-4, 0)                  (0, -4)

2.- Find the slope of each line

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

Line 1               m = (7 - 2) / (5 - 0)

                        m = 5/5

                        m = 1

Line 2               m = (-4 - 0) / (0 + 4)

                        m = -4/4

                        m = -1

3.- Find the equation of the lines

Formula          y - y1 = m(x - x1)

Line 1              y - 2 = 1(x - 0)

                      y - 2 = x

                      y = x + 2

Line 2             y + 4 = -1(x - 0)

                       y + 4 = -x

                       y = -x - 4


Related Questions

In a box the number of blue counters and the number green counters are in the ratio 7:4. The number of green counters and the number of red counters are in the ratio 3:1. The total number of counters in the bag is 444. How many green counters are in the bag?

Answers

Answer:

Number of green counters is 144

Step-by-step explanation:

Please refer to the attached image for explanations

Final answer:

Calculate the total number of parts in the ratio. Determine the total number of green and red counters, which are 4 parts out of a total of 11. Multiply this fraction by the total number of counters (444) to get the total number of green and red counters. The number of green counters is 3 parts out of this total, so a similar multiplication gives the number of green counters.

Explanation:

The problem involves the concept of ratios and arithmetic. We need to solve the question in two stages:

Firstly, the question tells us that the number of blue counters and green counters are in the ratio 7:4. This implies, for every 7 blue counters, there are 4 green ones. Therefore, the total number of blue and green counters together can be thought of as 7+4 which equals 11 parts. Secondly, the number of green counters and red counters are in the ratio 3:1. Therefore, the total number of green and red counters together equals 3+1, which is equal to 4 parts. We're given that the total number of green, red, and blue counters is 444. Now, going back to the first step the blue counters are 7 parts out of 11. The green and red counters combined are 4 parts out of 11. So, the total of green and red counters is 4/11 * 444 = 161.04. But since we can't have 0.04 of a counter, it rounds to 161. Now, given that the green counters and red counters are in the ratio 3:1, so out of the total 161, the green counters are 3/4 * 161 = 120.75, which rounds to 121. So there are 121 green counters in the bag.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ12

The ratio of boys to girls in the class is 4:5. How many boys are there if there are 27 students?

Answers

Answer:

12 boys

Step-by-step explanation:

boys : girls

4      : 5

Add a total column

boys : girls: total

4      : 5     : 4+5 =9

To get to a total of 27 we multiply each term by 3

boys : girls: total

4*3      : 5*3  : 9*3

12        :15     :27

There are 12 boys

Final answer:

There are 12 boys in the class of 27 students.

Explanation:

The ratio of boys to girls in the class is 4:5, which means for every 4 boys, there are 5 girls. To find out how many boys there are, if there are 27 students in total, we need to work with this ratio.

Step-by-step Solution:

Determine the total number of parts in the ratio by adding the parts for boys and girls together: 4 parts for boys + 5 parts for girls = 9 parts in total.Divide the total number of students by the total number of parts to find out how many students make up 1 part: 27 students ÷ 9 parts = 3 students per part.Multiply the number of parts for boys by the number of students per part to find the total number of boys: 4 parts × 3 students per part = 12 boys.

Therefore, there are 12 boys in the class of 27 students.

Sue and Kathy have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 flat rate fee. What is the maximum number of miles they will be able to travel in the cab

Answers

Answer:

The answer should be 6 miles..

3(6)x2=20

Step-by-step explanation:

Solve for x, y = 3x + 5xz

Answers

Answer: x= y /5z+3

Step-by-step explanation:

Final answer:

To solve for x in the given equation y = 3x + 5xz, rearrange the equation to isolate x by dividing (y - 5xz) by 3.

Explanation:

Solve for x: y = 3x + 5xz

Given the equation y = 3x + 5xz, we need to isolate x. To do this, we can rearrange the equation:

x = (y - 5xz) / 3


Find the quotient.
214
27
A) 22
B) 27
C) 221
D) 298

Answers

The answer is B, 2 to the 7th power.

Huan deposited $850 into a college savings account earning 4.8% interest compounded annually. He also deposited $850 into a second account earning 4.8% simple interest. He made no additional deposits. How much interest does the first account earn in 10 years?

Answers

Answer:

$508.41

Step-by-step explanation:

Compound interest is calculated with the formula:

[tex]CI = P(1 + R)^T - P[/tex]

where P = Principal/ Initial amount = $850

R = Rate = 4.8% = 0.048

T = Time elapsed = 10 years

Hence, the compound interest is:

[tex]CI = 850(1 +0.048)^{10} - 850\\\\\\CI = 850(1.048)^{10} - 850\\\\\\CI = (850 * 1.598) - 850\\\\\\CI = 1358.41 - 850\\\\\\[/tex]

CI = $508.41

The interest after the first 10 years is $508.41

The first account with an initial deposit of $850 at a 4.8% interest rate compounded annually will earn approximately $510.87 in interest over 10 years.

The student asked how much interest the first account, which is a college savings account with an initial deposit of $850 at a 4.8% interest rate compounded annually, will earn in 10 years. To calculate this, we can use the formula for compound interest:

A = P(1 + r/n)^nt

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for, in years.

In this case, P = $850, r = 4.8/100 = 0.048, n = 1 (since the interest is compounded annually), and t = 10 years. So, the calculation is:

A = 850(1 + 0.048/1)1*10

A = 850(1 + 0.048)10

A = 850(1.048)10
A ≈ 850(1.60103)
The total amount in the account after 10 years will be approximately $1,360.87.

To find the interest earned, we subtract the original principal from the total amount:

Interest Earned = Total Amount - Original Principal
Interest Earned ≈ $1,360.87 - $850
Interest Earned ≈ $510.87
Therefore, the interest earned in the first account after 10 years is approximately $510.87.


A living room wall is 13 feet long. How far from the corner would you have
to put the edge of a 3ft 8in shelf for it to be centered on the wall? *
A-56 inches
B-46 inches
C-51 inches
D-48 inches

Answers

Answer:

You start the shelf 4 ft. 9 in. from the wall

Step-by-step explanation:

The game plan is to take the length of the shelf away from the length of the wall, and then divide the remaining part into two equal pieces.  

13 ft.

-  3 ft. 6 in.  

12 ft  12 in,

- 3ft    6 in

9 ft   6 in.  

9 ft. 6 inches divided by 2 equals 4.5 ft, 3 in.

.5 ft * 12 inches = 6 inches

Answer:

56 inches.              

Step-by-step explanation:

The
The point (2,6) is on the line given by which equation below?

Answers

Answer:

A  y = 3x

Step-by-step explanation:

We can check each line to see if the point is on it

A  y = 3x  6 = 2*3  6=6  this is true so the point is one the line

B  y = 4-x   6 = 2-4  6 = -2  false

C  y = -3x   6 = -3(2)  6=-6  false

D  y =-x+4   6 = -2+4   6 = 2  false

how many solutions does this eq

Answers

Answer:

There's one solution to this equation and that is 2

Step-by-step explanation:

5 (2x-3) = 5 multiply inside the parenthesis by 5

10x - 15 = 5 add 15 to both sides

10x - 15 + 15 = 15 + 5

10x = 20 divide both sides by 10

x = 2

helpppppp pleaseeee!!!

Answers

Answer:

C (I'm not 100% sure that this is correct)

Step-by-step explanation:

I don't think that an act of genocide in the regions of Africa occurred recently.

Answer:

I think you might get a better answer if you put this question under the social studies category instead of math.

f(x)=3x-2 and g(x)=2x-4
Find the f(g(x))

Answers

Answer:

6x-14

Step-by-step explanation:

its f of g of x so insert the g function when x appears in the f function

3(2x-4) -2

6x - 12 -2

6x-14

If cos 0 = 0.3846 where 3pi/2 is less than 0 is less than 2pi, what is the approximate value of sin 0?

Answers

Answer:

-0.9231

Step-by-step explanation:

Given cos theta = 0.3846 within the range 3π/2<theta<2π

Costheta = 0.3846

Theta = arccos(0.3846)

Theta = 67.38°

Since 67.38° didn't fall within the range of theta, we will locate our theta using the quadrant.

Since cos is positive in the 4th quadrant,

Theta = 360-67.38°

Theta = 292.62°

Sin(theta) = sin(292.62°)

= -0.9231

Please help question in picture

Answers

Answer:

I think the answer is B

Step-by-step explanation:

180 - 104 - 36 = 40

A rectangular container 100cm long,60cm wide and 80cm high is filled with water up to the level of 50cm.What is the volume of the empty space
A.480,000cm
B.180,000cm
C.300,000cm
D.240,000cm​

Answers

Answer:

D) 240 000 cm³​

Step-by-step explanation:

V = 100cm×80cm×(80-50)cm

= 8000cm²×30cm

=  240 000 cm³

A concert last 567 hour the band performs three concerts on the weekend how long does the band perform in total on the weekend why are you answer as a mixed number

Answers

Answer:

[tex]17\dfrac{4}{7} \:hours[/tex]

Step-by-step explanation:

A concert lasts [tex]5\dfrac{6}{7}[/tex] hours.

The band performs three concerts on the weekend.

Total length of time performed by the band is given as:

Hour Per Concert X Number of Concerts

[tex]5\dfrac{6}{7} X 3\\=\dfrac{41}{7} X 3\\=\dfrac{123}{7}\\=17\dfrac{4}{7} hours[/tex]

The band performs a total of [tex]17\dfrac{4}{7} hours[/tex].

Help! Please! I’ve got 14 Minutes left before i need to submit it!

Answers

44 boots were sold all together. To figure this out first you need to find how many of the other boots there were. 8 rugby boots and 12 hiking boots. 8 + 12 + 24 = 44.

44 boots sold in total:
24 football boots
8 rugby boots
12 hiking boots

Work:
You are given the ratio between football, rugby, and hiking sales.
For every 6 football boot sales, there are 2 rugby boot sales and 3 hiking boot sales.

You are told that 24 football boots were sold.
Look back at the ratio given. The rugby boots sold is a third of the football boots (6/3 = 2). So, there were 24/3=8 rugby boots sold here.
The number of hiking boots sold is half of the number of football boots (6/2=3). If 24 football boots were sold, there were 24/2=12 hiking boots sold.

Kaci bought a birthday cake like the one shown below. If a=5inches,b=5inches,c=10 inches, and d=3inches what is the volume of the cake​

Answers

Answer:

75+150=225 in^2

Step-by-step explanation:

Separate each layer.

Area1+Area2= Total area

A1= a*b*d

A2=a*c*d

A1=5*5*3=75 in^2

A2=5*10*3=150 in^2

75+150=225 in^2

Answer:

210

Step-by-step explanation:

Write the equation of a line in slope-intercept form that goes through the points (4, -2) and (-4, -4).
A. y = 4x - 3
B. y = 4x - 2
C. y = 1/4x - 3
D. y = 1/4x - 2

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 2) and (x₂, y₂ ) = (- 4, - 4)

m = [tex]\frac{-4+2}{-4-4}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex] , thus

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (- 4, - 4), then

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = [tex]\frac{1}{4}[/tex] x - 3 → C

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 12521252 and standard deviation 129129 chips. ​(a) what is the probability that a randomly selected bag contains between 11001100 and 14001400 chocolate​ chips? ​(b) what is the probability that a randomly selected bag contains fewer than 10001000 chocolate​ chips? ​(c) what proportion of bags contains more than 12001200 chocolate​ chips? ​(d) what is the percentile rank of a bag that contains 10501050 chocolate​ chips?

Answers

Answer:

a)  P (  1100 < X < 1400 ) = 0.755

b) P (  X < 1000 ) = 0.755

c) proportion ( X > 1200 ) = 65.66%

d) 5.87% percentile

Step-by-step explanation:

Solution:-

- Denote a random variable X: The number of chocolate chip in an 18-ounce bag of chocolate chip cookies.

- The RV is normally distributed with the parameters mean ( u ) and standard deviation ( s ) given:

                               u = 1252

                               s = 129

- The RV ( X ) follows normal distribution:

                       X ~ Norm ( 1252 , 129^2 )  

a) what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate​ chips?

- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:

     P ( x1 < X < x2 ) = P ( [ x1 - u ] / s < Z <  [ x2 - u ] / s )

- Taking the limits x1 = 1100 and x2 = 1400. The standard normal values are:

     P (  1100 < X < 1400 ) = P ( [ 1100 - 1252 ] / 129 < Z <  [ 1400 - 1252 ] / 129 )

                                        = P ( - 1.1783 < Z < 1.14728 )

       

- Use the standard normal tables to determine the required probability defined by the standard values:

       P ( -1.1783 < Z < 1.14728 ) = 0.755

Hence,

      P (  1100 < X < 1400 ) = 0.755   ... Answer

b) what is the probability that a randomly selected bag contains fewer than 1000 chocolate​ chips?

- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:

     P ( X < x2 ) = P ( Z <  [ x2 - u ] / s )

- Taking the limit x2 = 1000. The standard normal values are:

     P (  X < 1000 ) = P ( Z <  [ 1000 - 1252 ] / 129 )

                                        = P ( Z < -1.9535 )

       

- Use the standard normal tables to determine the required probability defined by the standard values:

       P ( Z < -1.9535 ) = 0.0254

Hence,

       P (  X < 1000 ) = 0.755   ... Answer

​(c) what proportion of bags contains more than 1200 chocolate​ chips?

- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:

     P ( X > x1 ) = P ( Z >  [ x1 - u ] / s )

- Taking the limit x1 = 1200. The standard normal values are:

     P (  X > 1200 ) = P ( Z >  [ 1200 - 1252 ] / 129 )

                                        = P ( Z > 0.4031 )

       

- Use the standard normal tables to determine the required probability defined by the standard values:

       P ( Z > 0.4031 ) = 0.6566

Hence,

      proportion of X > 1200 = P (  X > 1200 )*100 = 65.66%   ... Answer

d) what is the percentile rank of a bag that contains 1050 chocolate​ chips?

- The percentile rank is defined by the proportion of chocolate less than the desired value.

- Compute the standard normal values for the limits of required probability using the following pmf for standard normal:

     P ( X < x2 ) = P ( Z <  [ x2 - u ] / s )

- Taking the limit x2 = 1050. The standard normal values are:

     P (  X < 1050 ) = P ( Z <  [ 1050 - 1252 ] / 129 )

                                        = P ( Z < 1.5659 )

       

- Use the standard normal tables to determine the required probability defined by the standard values:

       P ( Z < 1.5659 ) = 0.0587

Hence,

       Rank = proportion of X < 1050 = P (  X < 1050 )*100

                 = 0.0587*100 %  

                 = 5.87 % ... Answer

Six pounds of grapefruit costs $3.00 5 pounds of apple costs $2.65.

What is the cost per pound for each fruit.

Answers

For grapefruit it’s .5 per pound and for apple it’s .53

Expand each expression. ln (2x)4 4 ln 2 + 4 ln x 4 ln 2 + ln x 8 ln x

Answers

Equivalent expression are expressions that have equal values, when expanded. The equivalent expression of ln(2x)^4  is 4ln(2) + 4ln(x))

How to determine the expanded expression

The expression is given as:

[tex]\ln(2x)^4[/tex]

Apply the following logarithmic rule to the above equation

[tex]\ln(a)^b = b\ln(a)[/tex]

So, we have:

ln(2x)^4  = 4ln(2x)

Next, apply the following product rule of logarithm to the above equation

ln(ab) = ln(a) + ln(b)

So, we have:

ln(2x)^4  = 4 * [ln(2) + ln(x)]

Expand the bracket

ln(2x)^4  = 4ln(2) + 4ln(x))

Hence, the equivalent expression of ln(2x)^4  is 4ln(2) + 4ln(x))

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

ln (2x)4

✅ 4 ln 2 + 4 ln x

❎ 4 ln 2 + ln x

❎ 8 ln x

ln

4y5

x2

❎ ln 4 - 2 ln x - 5 ln y

✅ ln 4 - 2 ln x + 5 ln y

❎ -8 ln x + 5 ln y

A planter in the shape of a
square pyramid is being filled
with soil. Soil cost $0.78 per
cubit cubic foot What is the
cost of filling the planter with
soil?
a $24.00
b $8.00
c. $6 24
d. $18.72

Answers

The cost of filling the planter with soil is $6.24. option C

What is the cost of filling the planter with soil?

Length = 2 ft

Width = 2 ft

Height = 6 ft

Volume of the square based pyramid = ⅓ × length × Width × height

= ⅓ × 2 × 2 × 6

= ⅓ × 24

= 8 cubic feet

Cost of soil per cubic foot = $0.78

Therefore,

Cost of filling the planter with soil = Volume of the square based pyramid × Cost of soil per cubic foot

= 8 × $0.78

= $6.24

Complete question:

A planter in the shape of a square pyramid with dimensions 2 ft by 2 ft by 6 ft is being filled with soil. Soil cost $0.78 per cubit cubic foot What is the cost of filling the planter with soil?

a $24.00

b $8.00

c. $6 24

d. $18.72

I need some help with Parent Functions

Answers

If it has the ( ) it a u if it has |x| it’s a v

Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)?
y = negative 7 x + 499
y = negative StartFraction 1 Over 7 EndFraction x + 451
y = StartFraction 1 Over 7 EndFraction x + 449
y = 7 x + 401

Answers

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it correct on edg

have a good day :D

Plz I need your help! Question in picture!

Answers

Answer:

This may be incorrect but $4

Step-by-step explanation:

At a party, the hosts are giving out door prizes. Each guest receives a numbered ticket and a random drawing will be held for the prizes. There are 14 prizes and 22 guests. What is the probability of winning the last prize if multiple winning is not allowed

Answers

Answer:

The probability of winning the last prize is  [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Total Number of guests = 22

Total Number of prizes = 14

We have to find the probability of winning the last prize. When its turn to announce the last prize, the previous all prizes would have been already distributed. This means, 13 of the prizes would have been already distributed. Since multiple winning is not allowed, the last prize would be distributed in the remaining guests.

After distributing 13 prizes, the number of guests who can win the last prize will be = 22 - 13 = 9

We have only 1 last prize and 9 people among which only 1 will win the prize. Probability is defined as the ratio of favorable outcomes to total number of outcomes.

In this case the favorable outcome is the person with numbered ticket who is going to win a prize. This means favorable outcome is only 1. Total number of outcomes is total number of people remaining, which is 9.

Therefore, the probability of winning the last prize is 1 in 9 i.e. [tex]\frac{1}{9}[/tex]

Which statement is the clearest translation of 4 j - 9 = 1?

A number, times four minus nine, is one.
A number times, four minus, nine is one.
A number times four, minus nine, is one.
A number times four minus nine is one.

Answers

Answer:

i think:

A number times four minus nine is one

A Furniture Company currently produces5000600 chairs per month if production increases 7% find the increase in the new number of chairs produce each month

Answers

Answer:

350042 chairs

Step-by-step explanation:

Given: Number of chairs produced by a furniture company each month = [tex]5000600[/tex]

Percentage increase in chairs = [tex]7\%[/tex]

To find: an increase in the new number of chairs produce each month

Solution:

As 5000600 chairs are produced by a furniture company each month percentage increase in chairs is [tex]7\%[/tex]

So, increase in the new number of chairs produce each month = [tex]7\% \,\, of \,\, 5000600=\frac{7}{100} (5000600)=350042[/tex]

I NEED HELP ASAP PLSSS

Answers

Answer:

y = x^2 - 4x - 5

y = (x + 1)(x - 5)

Answer:

[tex] Standard \: form :\:y= {x}^{2} - 4x - 5\\

Factored\: from:\:y = (x + 1) (x - 5)[/tex]

Step-by-step explanation:

[tex]y = (x - 2)^{2} - 9 \\ y= {x}^{2} - 4x + 4 - 9 \\ \red{ \boxed{ \bold{y= {x}^{2} - 4x - 5}}} \\ is \: in \: standard \: form \\ \\ y = (x - 2)^{2} - 9 \\ y = (x - 2)^{2} - {3}^{2} \\ y = \{(x - 2) + 3\} \{(x - 2) - 3 \} \\ y = \{x - 2 + 3\} \{x - 2- 3 \} \\ \purple{ \boxed{ \bold{y = (x + 1) (x - 5)}}} \\ is \: in \: factored \: form[/tex]

what is the answer to this question

Answers

Answer:

[tex]b^6z^612a^5[/tex]

Step-by-step explanation:

The first step is to combine like terms, and multiply them together first. Since multiplication is commutative, it doesn't matter in what order you do it. Therefore, this can be rewritten as [tex](2a^2\cdot 6a^3)\cdot(b^4\cdot b^2)\cdot(z\cdot z^5)=(12a^5)\cdot(b^6)\cdot(z^6)=b^6z^612a^5[/tex]. Hope this helps!

Answer:

Step-by-step explanation:

(2a²b⁴z)(6a³b²z⁵ = 2*6*a²⁺³ b⁴⁺² z¹⁺⁵

= 12a⁵b⁶z⁶

Other Questions
Stephon is writing an essay in which he is comparing and contrasting the obstacles that Manjiro from Heart of a Samurai and William, the narrator of The Boy Who Harnessed the Wind must face. He places some of his research in this table.Manjiro: blank. Both: show bravery even if they are frightened. William: must face the ridicule of the people in the village. Which detail most belongs under the "Manjiro heading of the table?must face his fear of boatingmust face his fear of the oceanmust face the teasing of his friendsmust face the dangers of nature What is the role of flagella?Ato help bacteria growBto help bacteria moveCto help bacteria reproduceDto detect when bacteria are present using the graph,order the lines from steepest slope to the least steep slope. ts.The volume of the prism is 840 cubic units. What is theperimeter of the base?OoO12 units15 units21 units30 units Which equation is equivalent to Two-thirds x minus StartFraction 5 Over 6 EndFraction = negative StartFraction 5 Over 12 EndFraction x + one-fourth?Negative StartFraction 5 Over 6 EndFraction = one-fourth x + one-fourthTwo-thirds x = negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFractionOne-fourth x minus StartFraction 5 Over 6 EndFraction = one-fourthTwo-thirds x minus StartFraction 13 Over 12 EndFraction = negative StartFraction 5 Over 12 EndFraction x Lily does not like conflict. When her parents argue and raise their voices, Lily feels frightened. She has seen her dad strike her mom after yelling at her. At school, Mr. Nash raises his voice and Lily begins to tremble. Lily's trembling is:a. a conditioned stimulus.b. a neutral response.c. a conditioned response.d. an unconditioned response. Our family loves planning a trip to New York.A. singularB. plural Immediately following the presidential election in 2000, A family went to a baseball game. They parked the car in a parking lot which charged $20. The cost per ticket was $27. Write an equation for the total cost of going to the baseball game, where y is the total cost and x is the total number of people. If the family spent $236, how many people went to the game? A wheel completes 2.4 revolutions in 3 seconds.What is the angular velocity of the wheel in radians per minute?State your answer in exact form as a simplified fraction. Solve for x the solve for b What are two factors that explain the origin of the income gap among U.S. citizens?inheritances and income distributioninheritances and differences in skillsdifferences in education and welfare reformfield of work and income distribution During the most recent month, the following activity was recorded: a. Eleven thousand two hundred pounds of material were purchased at a cost of $2.90 per pound. b. The company produced only 1,120 units, using 10,080 pounds of material. (The rest of the material purchased remained in raw materials inventory.) c. Five hundred and forty eight hours of direct labor time were recorded at a total labor cost of $6,576. crivez le bon mot.Qui fait de la peinture? Un ____ fait de la peinture.Qui a fait cette sculpture? Cette ____ l'a faite. what is 6x^2+x-12 factored CORRECT ANSWER WILL GET BRAINLIEST What is the prime factorization for 50 using exponents Which character must decide whether to support the assassins or avenge his friend's death?O CaesarO AntonyO CassiusBrutus 1/8+c=4/5 plzzzzzz i need help Why were European nations interested in colonizing Africa?Choose all answers that are correct.The triangular trade had become more profitable.They wanted to stop the spread of Islam.The completion of the Suez Canal created a new trade route.Diamonds had been discovered. Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple random sample of 12 small cars were subjected to a head-on collision at 40 miles per hour. Of them 8 were "totaled," meaning that the cost of repairs is greater than the value of the car. Another sample of 15 large cars were subjected to the same test, and 5 of them were totaled. Find a 95% confidence interval for the difference in the prop