“Determine which of the following lines has the larger y-intercept, and by how much. “


The line that passes through (3, 8) and (-3, 4)


The line that passes through

(2, -5) and is perpendicular to

y=1/3x-2

Answers

Answer 1

Answer:

The first line:

y₁ = (2/3)*x + 6

Has the larger y-intercept, by 5 units.

Step-by-step explanation:

Here we need to find the equation for each line.

First, some theory.

A linear relationship can be written as:

y = a*x + b

where a is the slope and y is the y-intercept.

We know that if the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ -x₁)

And, if a line is:

y = a*x + b

a perpendicular line to that one must have a slope equal to:

-(1/a).

Now we can answer this question.

We know that the first line, let's call it y₁, passes through the points (3, 8) and (-3, 4), then its slope will be:

a = (8 - 4)/(3 - (-3)) = 4/6 = 2/3

then the line is something like:

y₁ = (2/3)*x + b

to find the value of b, we can use the fact that we know that the line passes through the point (3, 8)

this means that when x = 3, we must have y₁ = 8

replacing these in the above equation, we get:

8 = (2/3)*3 + b

8 = 2 + b

8 - 2 = b = 6

then the equation for this line is:

y₁ = (2/3)*x + 6

Now let's find the equation for the other line, that we will call y₂.

We know that this line is perpendicular to:

y = (1/3)*x - 2

The slope of that line is:

a = (1/3)

then the slope of a line perpendicular to that one will be:

slope = -(1/a) = -(1/1/3) = -3

slope = -3

then we have:

y₂ = -3*x + b

to find the value of b, we can use the fact that our line passes through the point (2, -5)

This means that when  x = 2, we must have y₂ = -5

then:

-5 = -3*2 + b

-5 = -6 + b

-5 + 6 = b = 1

b = 1

then this equation is:

y₂ = -3*x + 1

Now we know both equations:

y₁ = (2/3)*x + 6

y₂ = -3*x + 1

Which equation does have the larger y-intercept?

We can see that the first line has an y-intercept of 6, and the second line has an y-intercept of 1, then the first line has the larger y-intercept, and is larger by 5 units.


Related Questions

Find the percentage of the following:
20/60
18/60
21/60
31/60​

Answers

Answer:

20/60 = 33%

18/60 = 30%

21/60 = 35%

31/60 = 52%

Step-by-step explanation:

Just divide em'

Simple as that.

Answer:

20/60 = 33%18/60 = 30%21/60 = 35%31/60 = 51.67%

I hope th is helps you I just divided the fractions by the way :)

Suppose that a1, a2, a3, . . . is an arithmetic sequence, in which a3 = 19 and a14 = 96. Find a1.

Answers

Uhhh I think you have to add 19 and 14 which shall give you the answer to a1 so it should be 33 but then I think you divide 33 and 96 or you will multiply 33 and 96

2z^8- 32z^8
Help plz

Answers

Answer:

-30z^8

Step-by-step explanation:

[tex]2 {z}^{8} - 32 {z }^{8} \\ = - 30 {z}^{8} [/tex]

Answer:

-30z^8

Step-by-step explanation:

2z^8- 32z^8

-30z^8

The zeros of polynomial function g are -5, -1, and 7. Complete the factors to write an equation for function g. Assume that g has only three zeros and three factors.

Answers

Answer:

g(x) = (x + 5)(x + 1)(x - 7)

Step-by-step explanation:

i know for a fact im right

The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

What is Polynomial?

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

Here, given zeros are;

   -5, -1, 7

then we can write;

x = -5,  x = -1; x = 7

x +5 = 0 ; x + 1 = 0 ; x - 7 = 0

On multiplying all the terms we get;

(x+5)(x+1)(x-7) = 0

Thus, The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

Learn more about Polynomial from:

https://brainly.com/question/17822016

#SPJ2

What number cube has faces numbered 1 to 6.

Answers

Answer:

I don`t see the attachment

Step-by-step explanation:

Mr. Sun borrowed $15,600 for 54 months at simple interest to pay for a new swimming pool. If Mr. Sun paid the bank a total of $21,567.00, what was the simple interest rate of the loan?

Answers

Given:

Mr. Sun borrowed $15,600 for 54 months at simple interest.

Mr. Sun paid the bank a total of $21,567.00.

To find:

The rate of simple interest.

Solution:

We know that,

12 months = 1 year

1 month = [tex]\dfrac{1}{12}[/tex] year

54 months = [tex]\dfrac{54}{12}[/tex] year

54 months = 4.5 years

Simple interest is:

[tex]S.I.=Amount-Principal[/tex]

[tex]S.I.=21567-15600[/tex]

[tex]S.I.=5967[/tex]

Formula for simple interest is:

[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest in percent and t is the number of years.

Putting [tex]S.I=5967,P=15600,t=4.5[/tex], we get

[tex]5967=\dfrac{15600\times r\times 4.5}{100}[/tex]

[tex]596700=70200r[/tex]

[tex]\dfrac{596700}{70200}=r[/tex]

[tex]8.5=r[/tex]

Therefore, the rate of simple interest is 8.5%.

Niko wants to put soil in his garden shown below. If soil comes in bags that fill 6 square yards each, how many bags of soil should Niko buy? Hint: you may have some leftover soil.

Answers

Answer:

444 pot soils

Step-by-step explanation:

Ross walked 3 m east and 6 m north. How far is he from the starting point

Answers

Answer:

3 sqrt(5) meters

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem.

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+6^2 = c^2

9+36 = c^2

45 = c^2

Taking the square root

sqrt(45) = sqrt(c^2)

sqrt(9*5) = c

sqrt(9) sqrt(5) =c

3sqrt(5) = c

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Given:-Ross walked 3 m east and 6 m north.

Find:-How far is she from the starting point?solution:-

Ross walked 3 m east and 6 m north.

so her path is a right angle triangle path.

we know that,

in a right angle triangle, According to the Pythagorean theorom,

[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]

where

l= legs b=baseh=hypotenuse

According to the question, [tex]\sf{3^2+6^2=f^2 }[/tex]

[tex]\sf{9+36=f^2 }[/tex]

[tex]\sf{ f^2=45 }[/tex]

[tex]\sf{f=\sqrt{45} }[/tex]

[tex]\sf{f=3\sqrt{5} }[/tex]

Therefore:-

he is [tex]\sf{3\sqrt{5} }[/tex] far from the starting point

If f(x) =3x^2 +1 and g(x) = 1 -x, what is the value of (f-g) (2)?

Answers

Answer:

(f-g)(2) = 14

Step-by-step explanation:

f(x) =3x^2 +1 and g(x) = 1 -x

f(2) = 3(2)^2 +1 = 3(4)+1 = 12+1 = 13

g(2) = 1-2 = -1

f(2) - g(2) = 13 - -1 = 13+1 =14

Answer:

14

Step-by-step explanation:

(f-g)(2) means f of x minus g of x when x equals 2.

To solve, first set up the equation

[tex](3x^2}+1)-(1-x)[/tex]

Change the signs in the second part. {because this is subtraction}

[tex]3x^2}+1-1+x[/tex]

Replace x with 2.

[tex]3(2^2})+1-1+2[/tex]

Solve.

[tex]3(4)+2[/tex]

[tex]12+2[/tex]

[tex]14[/tex]

Help fast please in a test and don’t know the answer I have tried Googling and everything please help

Answers

Answer:

Surface Area = 3,543.7 cm²

Step-by-step explanation:

Surface area of the cylinder = 2πr(h + r)

Where,

radius (r) = 12 cm

height (h) = 35 cm

Plug in the values into the surface area formula

S.A = 2*π*12(35 + 12)

S.A = 24π(47)

S.A = 3,543.71651 cm²

≈ 3,543.7 cm² (approximated to the nearest tenth)

solve for x−4 + x ≤ 9

Answers

Answer:

x ≤ 6.5

Step-by-step explanation:

x−4 + x ≤ 9

Combine like terms

2x-4≤ 9

Add 4 to each side

2x-4+4≤ 9+4

2x≤ 13

Divide by 2

2x/2 ≤ 13/2

x ≤ 6.5

plzzz helpppp dont ignoreeee

Answers

Answer:

X= 40

Step-by-step explanation:

2(110 + 4x) = 220 + 8x = 540

8X = 320

X= 40

Answer:

x = 17.5

Step-by-step explanation:

Since there’s a dashed line between the shape, the new total = 180* (degrees)

110* + 3x + x = 180*

Subtract 110 from 180

3x + x = 70

x = 17.5

Q5. Evaluate this expression when a=6
Q6. Which option shows this expression simplified correctly?
Q7. Which option shows this expression simplified correctly?
Q8. Find the following:
Q9. Which option shows this expression expanded correctly?

Answers

Question 5: 54/a. 54/6 is 9. The answer is 9.
Question 6: 2w + 3x. There are 2 w’s, and 3 x’s.
Question 7: 2x + 4y. There are 2 x’s, and 4 y’s.
Question 8. 11 + 16 is 27.
Question 9: 3(8y - 5). 3*8y is 24y. 3*-5 is -15. The answer is 24y - 15.

help asap no wrong answers----------------------

Answers

Answer:

[tex]y=-2(sin(2x))-7[/tex]

Step-by-step explanation:

1. Approach

Given information:

The graph intersects the midline at (0, -7)The graph has a minimum point at ([tex]\frac{\pi}{4}[/tex], 9).

What conclusions can be made about this function:

The graph is a sine function, as its y-intercept intersects the midlineThis graph has a negative coefficient, this is because after intersecting the midlines at the y-intercept, the function has a minimum.This graph does not appear to have undergone any horizontal shift, as it intercepts the midlines with its y-intercept

Therefore, one has the following information figured out:

[tex]y=-n(sin(ax))+b[/tex]

Now one has to find the following information:

amplitudemidlineperiod

2. Midline

The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:

y = -7

2. Amplitude

The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline: [tex]y=-7[/tex]

Amplitude: 9 - |-7| = 9 - 7 = 2

3. Period

The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline intersection: [tex](0, -7)[/tex]

Period: [tex]4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi[/tex]

However, in order to input this into the function in place of the variable (a), one has to divide this number by ([tex]2\pi[/tex]).

[tex]a=\frac{2\pi}{\pi}=2[/tex]

4. Assemble the function

One now has the following solutions to the variables:

[tex]n =-16\\a=2\\b=-7\\[/tex]

Substitute these values into the function:

[tex]y=-2(sin(2x))-7[/tex]

Instructions: Find the measure of the indicated angle to the nearest
degree.
26
?
32
? =

Answers

Answer:

36

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adj side / hyp

cos ? = 26/32

Taking the inverse cos of each side

cos^-1(cos ?) = cos^-1( 26/32)

? = 35.65908

To the nearest degree

? = 36

3 of 9
Express the ratio below in its simplest form.
2:4:2

Answers

Answer:

1 : 2 : 1

Step-by-step explanation:

2:4:2

Divide each  term by 2

2/2:4/2:2/2

1 : 2 : 1



In Australia, road distance is measured in kilometres.
In the USA, road distance is measured in miles.
5 miles is about the same distance as 8 kilometres.
About how many miles is 120 kilometres?

Answers

Answer:

75

Step-by-step explanation:

5 miles-8km

x miles-120 km

x=120×5÷8

x=75 (miles)

Answer:

s

Step-by-step explanation:

since 5 miles is the same as 8 kilometers,how many miles is 120 kilometers..use ratio and proportion

5miles:8kilometers

x. :120kilometers

8x/8=600/8

x=75miles

I hope this helps

If the outliers are not included what is the mean of the data set 76,79,80,82,50,78,79,81,82

Answers

Answer:

The answer is 80

Step-by-step explanation:

we know that

the outlier is 50, as it is not around the other numbers in the data set.

therefore

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Answer:

80

Step-by-step explanation:

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Find the measure of arc BC?

Answers

Answer:

129

Step-by-step explanation:

Since,

AD = BC

AD = 3x + 24

BC = 4x - 11

3x + 24 = 4x - 11

4x - 11 = 3x + 24

4x - 3x = 24 + 11

x = 35

BC = 4x - 11

= 4 ( 35 ) - 11

= 140 - 11

BC = 129

Answer:

[tex]AB=BC[/tex]

[tex]3x+24=4x-11[/tex]

[tex]3x-4x=-11-24[/tex]

[tex]x=35[/tex]

[tex]BC=4\times 35-1[/tex]

[tex]=140-11[/tex]

[tex]=129[/tex]

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

Hope it helps..

Have a great day!!

How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer

Answers

Answer:

There are 43200 minutes in a 30-day month.

Step-by-step explanation:

We know that:

60 minutes = 1 hour

24 hours = 1 day

Thus to determine the minutes in a 30-day month, let us first determine the number of hours in the month.

   30

x  24

_______

  120

 60

_______

 720 hours

The 30-day month has a total of 720 hours.

So that the number of minutes that make up 720 hours can be determined by;

    720

 x   60

_______

   000

4320

_______

43200

Therefore, there are 43200 minutes in a 30-day month.

Please helppppp!!!!!!!!

Answers

Answer:

128 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases and h is the height

A =1/2( 10+22) * 8

A = 1/2 (32)8

  = 128

Answer:

A=128 cm²

Step-by-step explanation:

Hi there!

We are given a trapezoid and we want to find the area of it

The area of a trapezoid is given as [tex]\frac{a+b}{2}h[/tex], where a and b are the bases and h is the height

The bases are the parallel sides

They are the sides marked as 10 cm and 22 cm in this case

The height is the distance between the bases

In this case, it is the side marked as 8 cm

We know everything needed for the area, let's just label everything to avoid any confusion

a=10

b=22

h=8

Now substitute into the formula

A=[tex]\frac{a+b}{2}h[/tex]

A=[tex]\frac{10+22}{2}*8[/tex]

add the numbers on the numerator together

A=[tex]\frac{32}{2}*8[/tex]

Divide 32 by 2

A=16*8

multiply

A=128 cm²

Hope this helps!

solve: 5y +12 - 3y + 12 = 18

Answers

Answer:

5y-3y+12+12=18

2y = 18 - 24

y = -6/2

y = -3

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{5y + 12 - 3y + 12 = 18}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textsf{(5y - 3y) + (12 + 12) = 18}\\\\\large\text{NEW EQUATION: \textsf{2y + 24 = 18}}\\\\\large\text{SUBTRACT 24 to BOTH SIDES}\\\\\large\textsf{2y + 24 - 24 = 18 + 24}\\\\\large\text{Cancel out: \textsf{24 - 24} because it gives you 0}\\\\\large\text{Keep: \textsf{18 - 24} because it helps solve it helps solve for y}\\\\\large\textsf{18 - 24 = \bf -6}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{2y = -6}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\mathsf{\dfrac{2y}{2y}=\dfrac{-6}{2}}\\\\\large\text{Cancel out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}\large\text{ because it gives you the y-value}\\\\\large\textsf{y = }\mathsf{\dfrac{-6}{2}}\\\\\mathsf{\dfrac{-6}{2}= \bf -3}\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: y = \bf -3}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

WORD PROBLEM -
Sohanlal is a gardener He is paid 160 daily find how much money will he get in the month of September
GIVE ME UR ANSWERS SOON PLS

Answers

When did sohanlal start his pay what is the start date of the pay

Evaluate (5.6 x 10^-4 ) - (9.3x10^-6)
Give your answer in standard form to 3SF​

Answers

Answer:

I got 5.51x10^-4

Step-by-step explanation:

Answer:

.0005507

Step-by-step explanation:

5.6 x [tex]10^{-4}[/tex]

9.3 x [tex]10^{-6}[/tex]

 560 x [tex]10^{-6}[/tex]

- 9.3 x [tex]10^{-6}[/tex]

550.7 x [tex]10^{-6}[/tex]

.0005507

Jernel has to figure out the area of her square garage. She knows that one side of the garage is equal to the length of her rabbit pen. The dimensions of the rectangular rabbit pen are 13 by 10.

Answers

Answer:169

Step-by-step explanation:13 x 13 = 169

You would take the larger side of the pen (13) or else it wouldn’t fit if you chose 10.

What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor ?

Answers

Answer:

The vertices of ABCD:

A ( - 3, 1 )

B ( 4 , - 3 )

C ( 1, 3 )

D ( - 1 , 4 )

∴ ( 4 x,  4 y ):

A ` ( - 12, 4 )

B ` ( 16, - 12 )

C ` ( 4, 12 )

D ` ( - 4 , 16 )

Step-by-step explanation: I hope this helps! ™(*/ω\*)

SECTION B
A matatu and Nissan left town A for town B 240km away at 8.00 a.m travelling at 90km/hr
and 120km/hr respectively. After 20 minutes the Nissan had a puncture which took 30
minutes to mend.
(5mks
a) How far from town A did the Nissan catch up with the matatu?

Answers

9514 1404 393

Answer:

  180 km

Step-by-step explanation:

The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...

  Matatu distance = Nissan distance

  90t = 40+120(t -5/6)

  0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses

  60 = 30t . . . . . . . . . . . add 60

  2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again

That distance from town A is ...

  y = 90t = 90(2) = 180 . . . . km

Strat with k add 2 multiply by 6 then subtract 8

Answers

Answer:

6(k+2) -8

Step-by-step explanation:

Start with k

k

Add 2

(k+2)

Multiply by 6

6(k+2)

Then subtract 8

6(k+2) -8

6(k+2)-8 is a required answer.

Answer:

Solution given:

Start with k.

K

add 2

k+2

multiply by six

(k+2)*6

subtract by 8

6(k+2)-8

Can some one help me solve these 3 questions?

Answers

7. A
8. Is the 1st picture
9.is the second picture

look at photo! please help needed! 1.

Answers

Answer:

5/12

Step-by-step explanation:

it says in the question that 1/4 +1/3 is used so in order to make it simple we have to find the common denominator that is 12. so converting 1/4 is 3/12 and 1/3 is 4/12.so u add the numerator and u get 7 over 12 .so now the whole container of peanuts is 12/12 but 7/12 is used so 12-7= 5. so ur ans is 5/12

Other Questions
The graph of a relation is shown.Which of these values could be the slope of the line?Select two options.-2-8/507/43 Selected accounts with a credit amount omitted are as follows: Work in Process Apr. 1 Balance 7,500 Apr. 30 Goods finished X 30 Direct materials 60,000 30 Direct labor 191,000 30 Factory overhead 57,300 Finished Goods Apr. 1 Balance 13,500 30 Goods finished 307,300 What was the balance of Work in Process as of April 30? a.$307,300 b.$13,500 c.$57,300 d.$8,500 Amanda asked each student in her class: How many pets do you have? The data collected is below.Amanda's Class: 0, 0, 2, 1, 1, 0, 5, 0, 3, 2, 1, 1, 0, 2, 4, 0, 2, 1, 1, 1, 2, 3, 1, 0, 2Charley asked the same question to each student in his class (which is noclass as Amanda's). The data he collected is below.Charley's Class: 1, 2, 1, 3, 1, 1, 0, 0, 1, 0, 0, 2, 3, 1, 2, 5, 2, 0, 0, 4, 1, 1, 2, 0, 0, 1, 1Whose class had a larger percentage of students with no pets? XYZ Company provides the following activity-based costing information: Activities Total Costs Activity-cost drivers Account inquiry $320,000 16,000 hours Account billing $160,000 3,200,000 lines Account verification costs $138,600 60,000 accounts Correspondence letters $19,200 4,000 letters Total costs $637,800 The above activities are used by Product A and B as follows: Product A Product B Account inquiry hours 2,700 hours 1,800 hours Account billing lines 820,000 lines 630,000 lines Account verification accounts 23,000 accounts 24,000 accounts Correspondence letters 1,500 letters 2,000 letters How much of the account verification costs will be assigned to Product B please help ASAP, this is a one of the last questions for a very important test Im taking and I would like to make sure my answer is correct What did sharks andrays develop thattheir ancestors didnot have?A. lobes that were the beginnings of arms and legsB. jaws that helped with catching preyC. legs to be able to survive on landD. amniotic eggs Question 4 of 5How can the Fitness Logs help you in this class?O A. They can't; the Fitness Logs are only useful to your teacher.B. They show your parents how much you're learning.C. They let you keep track of your thoughts, feelings, and progress.D. They help you evaluate yourself for your final grade.SUBMIT What happens inside the mitochondria?A. photosynthesisB. blood circulationC. cellular respiration Read and select the best answer.-Hola! Buenos das. Qu tal? Cmo te llamas? Yo me llamo Jos.-Buenos das. Ana. Estoy muy bien, gracias.--Mucho gusto.-El gusto es mo. Y t?GraciasSu nombre esYo soy Which mineral is produced when two atoms of iron chemically combine with three atoms ofoxygen?1. garnet2. pyrite3. magnetite4. hematite Diaz conducts a decision-making experiment to determine if people reason more logically when they have more time to decide. All the participants who are under 40 are allowed 15 minutes to reach a decision about a problem; all the participants who are over 40 are allowed 20 minutes to reach a decision about the same problem. Diaz has a problem with his experimental design because Investing $2,000,000 in TQM's Channel Support Systems initiative will at a minimum increase demand for your products 3.0% in this and in all future rounds. Looking at the Round 0 Inquirer for Andrews, last year's sales were $163,189,230. Assuming similar sales next year, the 3.0% increase in demand will provide $4,895,677 of additional revenue. With the overall contribution margin of 34.1%, after direct costs this revenue will add $1,669,426 to the bottom line. For simplicity, assume that the demand increase and margins will remain at last year's levels. How long will it take to achieve payback on the initial $2,000,000 TQM investment, rounded to the nearest Which type of market is the least likely to have an official currency? Which of the following events best illustrates how the rule of law can protect the common good?A. An official sells his car and gives the profits to charity.B. An official buys her own fuel for her government vehicle.C. Officials approve a construction project that will create more homes.D. Officials pass a law that new construction must not pollute nearby water. Why did Britain oppose the idea of self-determination in the Fourteen Points plan? What is the most expensive mandatory spending program for the federal government? A. Medicare B. education C. Social Security D. public transportation Read the selection and the question, and choose the option that best answers the question.Hello! My name is Marina and I live in Colombia. I am 15 years old and I am in high school. In Colombia, the high school has four different routes:Technical programs (12 years)Technology programs (3 years)Teaching programs (45 years)Professional programs (45 years)I study in the technical program. I love animals and I like healthy food like fruits and vegetables. When you finish the two years of the technical program, you can start working immediately. My friend Sal has been studying a career in the technical program for two years as well. He studies how to measure streets and avenues when they want to build or put up new roads. You can start working in a month.In professional careers, you need to study more than in technical careers. My cousin Anastasia studies computers in the technology course. She loves technology.What career is Marina going to school for? Farmer Surveyor Accountant Engineer 3. Which of the following is NOT a part of the female reproductive system: a. uterus b. oviduct C testes d. all of the above Hi,Valency of chlorine is 1. Why?Thank you Cmo se llama el proceso de sealizacin en el que las seales se secretan hacia el torrente sanguneo y se distribuyen por todo el cuerpo? Seleccione una: a.Neuronal b.Autocrina c.Endocrina d.Paracrina What needs a a living cell to survive?O Communicable diseaseO VirusO Non-communicable diseaseO Bacteria