II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.

Answers

Answer 1

Answer:

C) Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

You need to have both equations in slope-intercept form.

4x - 6y = -6

-6y = -4x - 6

y = 2/3x + 1

The two equations are

y = 2/3x + 1

y = 2/3x - 17

For lines to be parallel, the slopes must be equal.  The y-intercepts don't matter.

Since the lines have the same slopes but different y-intercepts the answer is C.


Related Questions

Question 1

52 + 2 × (9) + 6 =

Answers

The answer is it’s all bedmas
Brackets
Equations
Division
Multiplication
Subtraction
That’s order and it equals to 76

Answer:

76

Step-by-step explanation:

Use BODMAS rule:

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition

S = Subtraction

Now, let's Solve,

[tex]52 + 2 \times (9) + 6[/tex]

First, we have to multiply the numbers:

[tex] = 52 + 18 + 6[/tex]

Add the numbers:

[tex] = 76[/tex]

Hope this helps...

Good luck on your assignment...

-5x-2y=-6

Slope:
y-intercept:

Answers

Answer:

Slope = m = -5/2

Y-intercept = b = -3

Step-by-step explanation:

[tex]-5x-2y = -6[/tex]

Getting it in a slope - intercept form:

[tex]-2y = 5x+6\\Dividing \ both \ sides \ by \ -2\\y = \frac{-5x}{2} + (-3)\\y = \frac{-5x}{2} -3\\[/tex]

Comparing it wit the slope intercept equation [tex]y = mx+b[/tex] we get

Slope = m = -5/2

Y-intercept = b = -3

find the slope of this line.

Answers

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m = [tex]\frac{3-2}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

Slope=1/3

Step-by-step explanation:

we kown,

m=y2-y1/x2-x1

then you should take two point where line should be passing through these two pionts.

In graph you can see that (0,2) and(-3,1) are passing points of the line.

Here, x1=0

x2= -3

y1=2

y2=1

Now,

m= 1-2/ -3-0

= -1/ -3

=1/3

So, The slope of the line is 1/3.

I hope this will be helpful for you.

in a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series plays: win 8, lose 7, will 11, lose 2?




a -15
B -4
C 4
d 12 ​

Answers

Answer:

4

Step-by-step explanation

+8  + (-7)  + (+11) + (-2)= 4

The value of the series plays is 10.

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

In this question, we have to find the total amount of points, considering the number of points on each series.

Win 8: Add 8 points.Lose 7: Subtract 7 points.Win 11: Add 11 points.Lose 2: Subtract 2 points.

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

The total is:

[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]

10 points.

A similar question is given at https://brainly.com/question/14350453

Which transformation does not preserve orientation? A. rotation B. reflection across the y-axis C. dilation D. translation

Answers

The correct answer is B) reflection across the y-axis

Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))

Answers

Answer:

1. 7

2. 6

[tex]3. 3\sqrt{5}[/tex]

4?

5. [tex]8\sqrt{10}[/tex]

6.[tex]5\sqrt{3}[/tex]

7. [tex]-1+\sqrt{3}[/tex]

Step-by-step explanation:

1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]

2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]

3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]

4. here there are two cases

[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]

[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]

5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]

6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]

7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]

What is the determinant of the coefficient matrix of the system –7 –2 –1 0

Answers

Answer:

0

Step-by-step explanation:

Please check attachment for complete solution

Answer:

D. 0

Step-by-step explanation:

last option

Please answer this ASAP. The question is down below. Thank you!

Answers

Answer:

[tex]y = .5x^2 -2x -5[/tex]

Step-by-step explanation:

Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )

In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.

This is not true for our parabola.

So we can widen it by to the desidered width by making the x^2 into a .5x^2.

So far we’ve got y = .5x^2

Now the parabola y intercept is at -5.

So we can add a -5 into the equation making it.

y = .5x^2 - 5

Now for the x value.

So we can find the x value by seeing how far away the parabola is from from the y axis.

So the x value is -2x.

So the full equation is [tex]y = .5x^2 -2x -5[/tex]

Look at the image below to compare.

Answer:  [tex]Vertex: y=\dfrac{1}{2}(x-2)^2-7[/tex]

               [tex]Standard: y=\dfrac{1}{2}x^2-2x-5[/tex]

               Transformations: vertical shrink by a factor of 1/2,

                                            horizontal shift 2 units to the right,

                                            vertical shift 7 units down.

Step-by-step explanation:

Vertex form: y = a(x - h)² + k

Standard form: y = ax² + bx + c

Given: Vertex (h, k) = (2, -7), the y-intercept (0, c) = (0, -5)

Input those values into the Vertex form to solve for the a-value

-5=a(0 - 2)² - 7

2 = a(- 2)²

2 = 4a

[tex]\dfrac{1}{2}=a[/tex]

a) Input a = 1/2 and (h, k) = (2, -7) into the Vertex form

[tex]\large\boxed{y=\dfrac{1}{2}(x-2)^2-7}[/tex]

b) You can plug in a = 1/2, c = -5, (x, y) = (2, -7) to solve for "b"

    or

   You can expand the Vertex form (which is what I am going to do):

[tex]y=\dfrac{1}{2}(x-2)^2-7\\\\\\y=\dfrac{1}{2}(x^2-4x+4)-7\\\\\\y=\dfrac{1}{2}x^2-2x+2-7\\\\\\\large\boxed{y=\dfrac{1}{2}x^2-2x-5}[/tex]

c) Use the Vertex form to describe the transformations as follows:

a is the vertical stretch (if |a| > 1) or shrink (if |a| < 1)h is the horizontal shift (positive is to the right, negative is to the left)k is the vertical shift (positive is up, negative is down)

[tex]y=\dfrac{1}{2}(x-2)^2-7[/tex]

a = 1/2  --> vertical shrink by a factor of 1/2

h = 2    --> horizontal shift 2 units to the right

k = -7   --> vertical shift 7 units down

what is 2-3+5÷16?
please give the answer by solving it

Answers

Answer:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer:

Step-by-step explanation:

2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25

hope it helps

Select the correct answer.
What is the value of this expression when g= -3.5?
8-[2g-5]
OA.
20
OB.
10
OC. 6
OD.
-4​

Answers

Answer:

A. 20

Step-by-step explanation:

We are given the expression:

8-(2g-5)

and asked to find the value of the expression when g=-3.5. Therefore, we must plug -3.5 in for g.

8- (2(-3.5)-5)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Begin by multiplying 2 and -3.5

8-(-7-5)

Next, subtract 5 from -7

8-(-12)

Finally, subtract -12 from 8.

8+12

20

The value of the expression 8-(2g-5)  when g=-3.5 is 20. Therefore A. 20 is correct.

A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model, y=Po+B1x, where y appraised value of the house (in $thousands) and x number of rooms. Using data collected for a sample of n 74 houses in East Meadow, the accompanying results were obtained. Give a practical interpretation of the estimate of the slope of the least squares line. i Click the icon to view the results.
A. For each additional dollar of appraised value, the number of rooms in the house is estimated to increase by 22.71 rooms.
B. For a house with 0 rooms, the appraised value is estimated to be $74,800.
C. For each additional room in the house, the appraised value is estimated to increase $22,710
D. For each additional room in the house, the appraised value is estimated to increase $74,800.

Answers

Answer:

D. For each additional room in the house, the appraised value is estimated to increase $74,800

Step-by-step explanation:

The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.

Find the coordinates for the equation.

{y=-x^2+5
{-x+y=3

Answers

Answer:

I hope you will get help from these...

Question in screenshot answer must be in cm

Answers

Answer:

30.5 cm

Step-by-step explanation:

0 < h ≤ 10 ⇔ Midpoint = 5

10 < h ≤ 20 ⇔ Midpoint = 15

20 < h ≤ 30 ⇔ Midpoint = 25

30 < h ≤ 40 ⇔ Midpoint = 35

40 < h ≤ 50 ⇔ Midpoint = 45

50 < h ≤ 60 ⇔ Midpoint = 55

Multiply each corresponding midpoint with it's frequency

(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610

Divide the total of 610 by the frequencies added together

610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5

What is the value of log0.5^16

Answers

Answer:

-4.81647993062

Step-by-step explanation:

Look at the image below ↓

Based on the mathematical analysis, the value of log 0.5^16 is -4.816.

What are Logarithms?

A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.

In this case, to calculate the value of log0.5^16 use logarithm properties.

rewrite the expression as log(0.5)^(16).

=> log(a^b) = b * log(a)

=> 16 * log(0.5).

Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.

Substitute this value back into the expression:

16 * (-0.301) = -4.816.

Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.

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the dimensions of a block of stamps are 30 cm wide by 20 cm high. the same number of stamps could also have been arranged in a block 24 cm wide. How high would this second block be?

Answers

Answer:The hight of such a stamp block would have to be 26 cm high by 24 cm wide

Step-by-step explanation: The way that i got my answer was by using this equation A+B=C

1.) 30cm+20cm=50cm

2.) 24cm+x=50cm

3.)50cm-24cm=x

4.)26cm=x

Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?

Answers

Answer: 300 mi.

Step-by-step explanation:

Let t be the time taken to drive to the park (at 60 mph)

Let t + 1 be the time taken to drive home from the part (at 50 mph)

Distance to the park = 60t

Distance from the park = 50(t + 1)

Obviously the distances should be the same so equate them.

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance.  You can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

or

50(t+1) = 50(6) = 300 miles

The distance to or from the park will be 300 miles.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let assume t be the time taken to drive to the park (at 60 mph).

Let assume t + 1 be the time taken to drive home from the part (at 50 mph)

The Distance to the park = 60t

The Distance from the park = 50(t + 1)

Obviously the distances should be the same, so equate them;

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance. We can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

50(t+1) = 50(6) = 300 miles

Therefore, the distance to or from the park will be 300 miles.

Learn more about equations here;

https://brainly.com/question/10413253

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For the rectangle with given area of 10x^2+11x+3 determine the binomial factors that describes the dimensions.

PLEASE HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer: The two factors are 5x+3 and x+1

=========================================

Explanation:

We could use the AC factoring method here. Multiply the first coefficient (10) with the last term (3) to get 10*3 = 30.

We need to find factors of 30 that add to 11

1+30 = 31

2+15 = 17

3+10 = 13

5+6 = 11

we have found the pair of factors that add to 11. So we'll break the 11x into 5x+6x and then use factor by grouping method

10x^2 + 11x + 3

10x^2 + 5x + 6x + 3

(10x^2 + 5x) + (6x + 3)

5x(2x + 1) + 3(2x + 1)

(5x+3)(2x+1)

We see the two factors are 5x+3 and 2x+1.

To check the answer, use either the box method, distribution, or FOIL rule to expand out (5x+3)(2x+1) and you should get 10x^2+11x+3 again.

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

As an alternative, you can solve 10x^2+11x+3 = 0 through any method you prefer (graphing, completing the square, quadratic formula). The quadratic formula is the best option as it works for any quadratic. The two solutions you should get are x = -3/5 and x = -1/2

Using x = -3/5 and x = -1/2, we can do the following

x = -3/5 becomes 5x = -3 after multiplying both sides by 5, then you add 3 to both sides to get 5x+3 = 0x = -1/2 becomes 2x = -1 after multiplying both sides by 2, and then turns into 2x+1 = 0 after adding 1 to both sides

Note how we have the 5x+3 and 2x+1 as found in the section above. At this point we can stop as we found the factors needed. I'm using the zero product property which says that if A*B = 0, then either A = 0 or B = 0.

trigonometry plz... helllppp thx​

Answers

Answer:

90°

I think.

Step-by-step explanation:

Cause... As you see it's a right angle triangle... And also when you ad 6+15 u get 90...

I

Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work

Answers

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL

= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )

= 3 + 11i + 20 - 2 + i ← collect like terms

= 21 + 12i

Answer:

The answer is

21 + 12i

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

Expand the terms in the bracket first

That's

3 + 15i - 4i - 20i² - ( 2 - i)

Remove the bracket

3 + 15i - 4i - 20i² - 2 + i

But i² = - 1

Group like terms

- 20(-1) + 15i - 4i + i + 3 - 2

15i - 4i + i + 20 + 3 - 2

Simplify

We have the final answer as

21 + 12i

Hope this helps you

A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit a shirt and a pair of shoes?

Answers

60 ways

Because 3*4*5=60

Answer:

60

Step-by-step explanation:

We want to find the number of ways to wear a suit, shirt, and pair of shoes.

Therefore, we can use the fundamental counting principal, which is: If there is x ways to do one thing, y ways to do another and z ways for another, then there are x * y * z ways to do all things.

Therefore, we must multiply the suits, shirts and shoes.

suits * shirts * shoes

The man has 3 different suits, 4 different shirts and 5 different pairs of shoes.

3 * 4 * 5

12 * 5

60

There are 60 different ways to wear a suit, shirt and pair of shoes.

Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
6x+2y = 8
12x + y = 22
O A. (-1,1)
O B. (4,-4)
O C. (2,-2)
O D. (-3,3)

Answers

Answer:

A. (-1,1)

Step-by-step explanation:

6x+2y = 8    

-2y =-2          

6x=6              

6x=6                  

X=1

Last question! Having some trouble.

Answers

Answer:

C

Step-by-step explanation:

The abscissa is the value of the x- coordinate and the ordinate is the value of the y- coordinate.

Since the point is in the second quadrant then x- coordinate will be negative and the y- coordinate positive.

C is the only point which meets this condition and

- 3 = 2(1) - 5 = 2 - 5 = - 3 ( 5 less than twice the ordinate) → C

Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together (e) evenings.

Answers

Answer:

m=30e

Step-by-step explanation:

30 minutes for each evening, 2 evenings, 60 minutes

Hope this helped!

The most suitable equation that would express the time Duarte spends to play chess with his dad is m= 30e

How to use equation for expressions

Number of minutes each evening= 30 mins=m

They played together every evening= e.

Therefore, the equation that would express the time Duarte spends to play chess with his dad is m = 30e.

Learn more about equation here:

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Please help fast! Brainliest will be given if correct :) Divide 32x3 + 48x2 − 40x by 8x

Answers

Answer:

4[tex]x^{2}[/tex]+6x-5

Step-by-step explanation:

Factor out 8x from the numerator.

Answer:38.4

Step-by-step explanation:

(32x3)+(48x2)-40x/8x

96+96-40x/8x

192-5x=0

192=5x

192/5=38.4

PLS HELP ASAP Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?

Answers

Answer:

The probability of event A happening which is P(A) = 1/2

Step-by-step explanation:

To answer this question, we will have to make use of the mathematical formula for independent events.

Firstly, what do we mean by independent events?

Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.

Given that A and B are independent events, then mathematically;

P(A ∩ B) = P(A) P(B)

Now from the question, we know that We are to find P(A), inputing the values we have;

1/6 = P(A) * 1/3

P(A) = 1/6/1/3

P(A) = 1/2

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?

Answers

Answer:

He should use the negative 1 unit tile.

Step-by-step explanation:

He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.

Answer:  It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\

Explanation: that's what i put and i got it right

PLZZZZZ MARK ME BRAINIEST

What is the simplified form of this expression?

(-3x2 + 2x − 4) + (4x2 + 5x + 9)

Answers

Answer:

[tex]\large \boxed{\sf \ \ x^2 + 7x + 5 \ \ }[/tex]

Step-by-step explanation:

[tex]\mathrm{\sf (-3x^2 + 2x -4) + (4x^2 + 5x + 9)}[/tex]

Remove brackets.

[tex]\large{\sf -3x^2 + 2x -4 + 4x^2 + 5x + 9}[/tex]

Group like terms.

[tex]\large{\sf -3x^2 + 4x^2 + 2x + 5x + 9 -4}[/tex]

Combine like terms.

[tex]\large{\sf x^2 + 7x + 5}[/tex]

The simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.

What is the simplified form of this expression?

To simplify the given expression, we need to combine like terms.

The given expression;

(-3x² + 2x − 4) + (4x² + 5x + 9)

Let's start by combining the terms with the same degree of x:

Combine the x² terms:

(-3x² + 4x²) + 2x - 4 + 5x + 9

Simplify further;

x² + 7x + 5

Thus, the simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.

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heLp would be appreciated for the image below :))

Answers

Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → A

would someone please help me thank you very much * no fake answer *

Answers

Answer:

a = 1500

b = 0.97

Step-by-step explanation:

The equation we are modeling is ;

F(x) = ab^x

Now we have two parameters to fix.

These are the density and the annual percentage increase

We can substitute the value of 1500 for a and also make a corresponding substitution for b.

Now for b, the value to substitute is quite dicey.

3% = 3/100 = 0.03

To make any substitution, we need to subtract this value from 1 and that would be 0.97

So it is this 0.97 that we now raise x to for each of the number of years

can ya'll help me find x and y and how to do it. Thanks

Answers

Answer:

x = 904 and y = 18

Step-by-step explanation:

Let's start by calculating x

tan 32° =[tex]\frac{x}{15}[/tex] x = 15*tan 32° x =9.37 x≈ 9.4

Let's use the pythagorian theorem to find y

x²+15² =y² 9.4²+15² = y² y = [tex]\sqrt{9.4^{2}+15^{2} }[/tex] y = 17.7 y ≈ 18
Other Questions
"Every society is transforming from primitive to modern ". do you agree with this statement? write your own opinion in a sentence. Answer the following questions: On a 10-fold dilution of a weak acid, the pH will ______________ . On a 10-fold dilution of a weak base, the pH will ______________. If one adds a very small amount of strong base to a buffered solution, the pH will _______________. Can you make a buffer using a strong acid Solve for the unknown angles. Justify your answers. characters of a fertile soil disadvantages of modern cutting crops if sade can be 12 years and his mother senior him with 24 years and his dad senior him with 30 yearshow old is the sum of the both parents Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles. What is the ratio of blue marbles to green and red marbles? Choose the answer that is a simplified unit rate. a 1 : 5 b 3 : 15 c 5 : 1 d 15 : 3 Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x In two to three paragraphs, explain how Vietnams political boundaries, affiliations, and alliances changed from the end of World War II to 1975, when the country finally achieved independence. Based on your research, include the causes and effects of foreign aggression on Vietnam during this period. Offshore oil-drilling operations entail an unavoidable risk of an oil spill, but importing oil on tankers presently entails an even greater such risk per barrel of oil. Therefore, if we are to reduce the risk of an oil spill without curtailing our use of oil, we must invest more in offshore operations and import less oil on tankers. Which of the following, if true, most seriously weakens the argument above. A) Tankers can easily be redesigned so that their use entails less risk of an oil spill. B) Oil spills caused by tankers have generally been more serious than those caused by offshore operations. C) The impact of offshore operations on the environments can be controlled by careful management. D) Offshore operations usually damage the ocean floor, but tankers rarely cause such damage. E) Importing oil on tankers is currently less expensive than drilling for it offshores. Assignment: Capital Budgeting Decisions Your company is considering undertaking a project to expand an existing product line. The required rate of return on the project is 8% and the maximum allowable payback period is 3 years.time 0 1 2 3 4 5 6Cash flow $ 10,000 2,400 4,800 3,200 3,200 2,800 2,400Evaluate the project using each of the following methods. For each method, should the project be accepted or rejected? Justify your answer based on the method used to evaluate the projects cash flows.A. Payback periodB. Internal Rate of Return (IRR)C. Simple Rate of ReturnD. Net Present Value 2. Find the distance between the two points. Round to the nearest tenth if necessary.(0,9), (-8, -4)2115.39.4233 Rosas work finding the median of a set of test scores is shown below.Which statement best describes Rosas first error?She should have reordered the elements from least to greatest.She should have added the elements and divided by 9.She should have counted repeated elements only once.She should have found the difference between the first and last elements. Aster corporation accepted a $20,000, 9 percent 120-day note dated august 25 from lee company in settlement of a past bill. On October 25, Aster Corporation decided to discount the note at a discount of 8 percent. The proceeds to Aster Corporation are (blank) Varun wants to start his own business. Suggest him at least four functions of an entrepreneur. 3 - 2x is a polynomial If a sprinkler waters 1/15 of lawn in 1/5 of an hour how much time will it take to water the entire lawn ? Will try to give brainliest PLEASE HELP ASAPWhat are the three stop codons? What is the start codon? Onslow Co. purchases a used machine for $192,000 cash on January 2 and readies it for use the next day at an $8,000 cost. On January 3, it is installed on a required operating platform costing $1,600, and it is further readied for operations. The company predicts the machine will be used for six years and have a $23,040 salvage value. Depreciation is to be charged on a straight-line basis. On December 31, at the end of its fifth year in operations, it is disposed of. Required: 1. Prepare journal entries to record the machine's purchase and the costs to ready and install it. Cash is paid for all costs incurred. 2. Prepare journal entries to record depreciation of the machine at December 31. "We come then to the question presented: Does segregation of children in public schools solely on the basis of race, even though the physical facilities....may be equal, deprive the children of the minority group of equal educational opportunities? We believe it does."