5. What is the simplified form of (2x2 + 4x – 3)(3x + 1)?
06x3 + 10x2 – 5x + 3
O 6x3 + 14x + 5x – 3
O 6x3 + 14x2 – 5x – 3
O 6x3 – 10x2 – 5x - 3

Answers

Answer 1
6x3+14x+5x-356-34^4-546
Answer 2

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3


Related Questions

Add.
3x2 - 5x+1
2x2 +9x-6
+
A. 5x2 + 4x+7
B. 5x2 - 4x + 5
C. 5x2 + 4x - 5
D. 5x2 + 14x - 5

Answers

Answer:

C

Step by step

3x2 - 5x+1 + 2x2 + 9x-6

Combine like terms

5x2 + 4x - 5

You are welcome and don't for get to click THANKS

Answer:

c

Step-by-step explanation:

I did the quiz just now

How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

Answer:

D- Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation: I did the test. Stay safe and have a good one!

Answer:

what the first person said "D"

Step-by-step explanation:

A miniature golf course recently provided its customers with 6 golf balls, of which 3 were blue. What is the experimental probability that the next customer will receive a blue golf ball?

Answers

The next probable answer is 1:2

Stella needs fencing for the perimeter of a
rectangular garden that is 16 feet long and
4 feet wide. The fencing she wants is sold
in yards. How many yards of fencing will
she need to buy for the entire perimeter?
(3 feet = 1 yard)

Answers

Answer:

[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]

Step-by-step explanation:

Length of rectangular garden (l) = 16 feet

Width of rectangular garden (w) = 4 feet

[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]

[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]

What is the solution to this equation?
x + 7 = 23
A. x = 30
B. x = 14
c. x= 16
D. x = 29

Answers

________________________________

Solution,

X+7=23

or,X=23-7

X=16

The value of X is 16.

Hope it helps

Good luck on your assignment

______________________________

Answer:

Step-by-step explanation:

x  + 7 = 23

When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.

x + 7 = 23

   - 7 = -7     <-- This is where you remove from one side what you remove          x + 0 = 16           from the other side.

Now that one side only has X, we can find the answer.

x = 16

What is the slope of the line represented by the equation y + 3 = -4(x - 5)?

Answers

Answer:

-4

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

Where m is the slope and (x1,y1) is a point on the line

y + 3 = -4(x - 5)

The slope is -4

PLEASE HELP ASAP IM BEHIND RIP

Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.



The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?

Answers

Answer:

If we have following equation right, then the angle between shorter sides is right angle:

13² = 12² + 5²169 = 144 + 25169 = 169

Confirmed

Now we can start,

Assume that if the angle between shorter sides is right angle, then the equation should be equal in both sides.

Let's begin the equation,

→ 13² = 12² + 5²

→ 169 = 144 + 25

→ 169 = 169

→ LHS = RHS

Hence, the statement is proved.

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each balloon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.

Which description most accurately summarizes the sample results?

Answers

Answer:

For his balloon to grow bigger, more manure is needed to enhance more growth energy

The mean of cow manure with mashed bananas is always more than the mean of only cow manure in any country.

Then the correct option is B.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy.

He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle.

After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced.

The mean of cow manure will be

Mean = 10+11 +13 +13 + 14 +15 + 15 + 15 + 18 + 18 + 19 + 20 +22+25+26/15

          = 254/15

          = 16.93

The mean of cow manure with mashed banana will be

Mean = 22+22+26+29+30+31+36+36+38+39+43+46+46+49+50/15

         = 543/15

         = 36.2

Thus, The mean of cow manure with mashed bananas is more than the mean of only cow manure.

Learn more about the mean link is given below.

brainly.com/question/521501

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What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3

Answers

Answer:

336

Step-by-step explanation:

Given the expansion: [tex](7+4x)^3[/tex]

[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]

Therefore, the coefficient of the second term is 336.

Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?

A. d= 64 t
B. d= 32 t
C. d= 16 t
D. d = 8 t

Answers

Answer:

C. d = 16t

Step-by-step explanation:

Since she is biking at a constant rate, then you would just have to divide 32 by 2 to get 16, which would be the speed Sydney would ride in the matter of one hour. So for how many hours she bikes, multiplied by 16, would be the distance that she travels in said time.

Solve the equation using the Quadratic Formula: *

x2 – 3x + 3 = 5x + 1

Answers

Answer:

please mark brainly

Step-by-step explanation:

Answer:

Exact form : x = 4 ± √14

Decimal form : x 7.74165738..., 0.25834261...

                     

Step-by-step explanation:

I hope this helps you out. ☺

CO
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius
temperatures for select Fahrenheit temperatures.
Table A
Table B
с
-10
0
10
20
30
F
14
32
50
68
86
F
14
32
50
68
86
C
-10
0
10
20
30
The tables show that the two functions are
ordered pair
✓ for the other function
because the ordered pair (x, y) for one function is the
A Intro

Answers

Answer:

it's is a

because the law states

Answer:

First 1 is Inverse and the second one is y=x

Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1

Answers

Answer:

[f(2) - f(-1)]/3

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

Answer:

7 over 12

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

Hitting the baseball over the lights
Meanwhile, at the ballpark, Juan was practicing his hitting while talking to the girls
standing around watching. He started telling them how he hit the ball over the 50 foot
light tower yesterday. The girls were unsure that he really did that.
The formula for this hit is: H(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How long did the ball actually hang in the air?

Answers

Answer:

Approximately 3.8 seconds

Step-by-step explanation:

H(x)=-16x^2+60x+4

We want to find when the ball hits the ground, or where the zeros are

0 =-16x^2+60x+4

Using the quadratic formula

-b ±sqrt(b^2 -4ac)

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

   2a

-60 ±sqrt(60^2 -4*-16*4)

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

   2(-16)

-60 ±sqrt(3600+256)

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

   -32

-60 ±sqrt(3856)

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

-32

We want the positive value for time

-60-62.09669879

---------------------------    

  -32

3.815521837

Approximately 3.8 seconds

Find the area of the figure.

Answers

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

There are 30 dogs at the park. 56 of the dogs are large.

Which method is a way to find the number of large dogs at the park?

Answers

Answer:

30-56

Step-by-step explanation:

It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].

what is the inverse of the function f(x)= 19/x³

Answers

f-1(x) = ∛(19/x).
Step-by-step explanation:
Let y = 19/x^3
y x^3 = 19
x^3 = 19/y
x = ∛(19/y)
The inverse is therefore
f-1(x) = ∛(19/x).

Write as a mixed number 5.06

Answers

Answer:

5[tex]\frac{3}{50}[/tex]

Step-by-step explanation:

0.06 = 6/100 = 3/50

Answer:

5 [tex]\frac{3}{50}[/tex]

Step-by-step explanation:

If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?

Answers

Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign

Step-by-step explanation:

[tex](g*h)(x)=g(x)*h(x)[/tex]

So this means the functions should be multipled and both evaluated at x = 5

The value of the composition of functions ( g o f ) ( 5 ) = 4

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as h ( x )

Now , the value of h ( x ) is

h ( x ) = x - 7

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x²

Now , the composition of function ( g o f ) ( 5 ) is given by

The value of f ( 5 ) = 5 - 7 = -2

Now , the value of g ( -2 ) is

g ( -2 ) = ( -2 )²

g ( -2 ) = 4

Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4

To learn more about composition of functions click :

https://brainly.com/question/17673639

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can someone please help me with this question ?

Answers

Answer:

Yes, because it passes the vertical line test

Step-by-step explanation:

A function has one output for each input.  This is called a one to one correspondent.  This is shown by the vertical line test

This graph passes the vertical line test and is therefore a function

Answer:

D

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

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

Example: The first table is a function because each input value has only 1 output value, but the second table has more that one output value per input.  (View Attached Picture Below)

The input value 4 in Table A has only 1 output value, 20. But in Table B, the input value for 4 has 2 output values, 16 and 17. So Table A is a function, while Table B is not.

What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction? m = 3 m = 6 all real numbers no solution

Answers

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

But, the above equation was solved at the condition that:

[tex]m\neq 3[/tex]

So, there is no solution for the given equation.

Answer:

D on Edge2020 (No solution)

Step-by-step explanation:

Mrs. opsahl drove 399 miles on 14 gallons of gas.how many miles per gallon did her car get

Answers

28.5 miles per gallon

Answer:

28.5 miles per gallon

Step-by-step explanation:

399 divided by 14 gives you the number 28.5

Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x Which explains whether Trina is correct? A. Trina is correct because the two sides of the equation are equivalent. B. Trina is correct because the two sides of the equation are not equivalent. C. Trina is not correct because the two sides of the equation are equivalent. D. Trina is not correct because the two sides of the equation are not equivalent.

Answers

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

Hope This Helps :p

C. Trina is not correct because the two sides of the equation are equivalent

I just took the quiz on edge

Solve this inequality.
-5x + 7 > 42
A. x> 245
B. x < -175
C. x > 7
D. x < -7​

Answers

Answer:

x < -7

Step-by-step explanation:

-5x + 7 > 42

Subtract 7 from each side

-5x + 7-7 > 42-7

-5x > 35

Divide each side by -5, remembering to flip the inequality

-5x/-5 <35/-5

x < -7

i need 29 part b and c please help!

Answers

Answer:

$1.50

Step-by-step explanation:

29 part c

3÷2= 1.50

3 is the cost

and 2 is the cups

for 3 drinks it would cost $1.50

The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.

Answers

______________________________

Hey!!

Solution,

Area= 12 ft^2

height= 3 ft

Now,

Area=b*h

or, 12=b*3

or,b=12/3

b=4 ft.

The value of base is 4 ft.

hope it helps

____________________________

Find the volume of the figure below. Round to the nearest tenth.

Answers

Answer:

The volume of the figure given is:

3057,57 cm^3

Step-by-step explanation:

To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.

Volume of the cylinder.

The formula to find the volume of a cylinder is:

Volume of a cylinder = PI * r^2 * h

Where:

PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).

r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)

h = height (in this case is 7 cm too, you can find these values in the figure given)

Now we must replace the values:

Volume of a cylinder = PI * r^2 * h Volume of a cylinder = PI * (7 cm)^2 * 7 cm Volume of a cylinder = 1077,57 cm^3 approximately.

Volume of the rectangular prism.

The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:

Volume of a rectangular prism = width * length * height.

When we replace the values given in the figure:

Volume of a rectangular prism = 11 cm * 20 cm * 9 cm  Volume of a rectangular prism = 1980 cm^3

At the last, we add the two volumes found:

Volume of the figure = 1077,57 cm^3 + 1980 cm^3 Volume of figure = 3057,57 cm^3

What are the solutions to the system of equations?
x² + y² = 5
y= 2x

Answers

Answer:

(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)

Step-by-step explanation:

Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x? [Art not to scale.]
x = 23
x = 35
x = 58
x = 93

Answers

Answer:

x = 93

Step-by-step explanation:

Given

<QSR = 35

<SRQ = 58

<SQP = x

Required

Find x

To find the value of x, a triangle needs to be drawn (See attachment).

From the attachment;

<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)

<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)

Substitute <QSR = 35 and <SRQ = 58 in equation 2

<SQR + 35 + 58 = 180

<SQR + 93 = 180

Subtract 93 from both sides

<SQR + 93 - 93 = 180 - 93

<SQR = 87

SUbstitute 87 for <SQR in Equation 1

<SQP + 87 = 180

Subtract 87 from both sides

<SQP + 87 - 87 = 180 - 87

<SQP = 93

Recall that <SQP = x

So, x = 93

Answer:

x = 93

Step-by-step explanation:

cuz it is

I need help with this

Answers

X1,Y1 =(-1,6)
X2,Y1=(2,-3)
Other Questions
PLEASE ANSWR ASAP FOR BRAINLIEST!!!! The temperature falls from 0 degrees to -12.4 degrees in13 1/2hours. Which expression finds the change in temperature perhour? Could anyone plz help me with this question ? Q.1- Find the distance travelled by a particle moving in a straight line with uniform acceleration, in the 10th unit of time. According to the passage, why was Spain helping the colonists? A) Great Britains growing power threatened Spains interests. B) Spain was making money selling supplies to the Continental army. C) Great Britain was unable to sell supplies to the Continental army. D) Spain wanted to weaken the power of the Continental army. On the world map above, which hemisphere is highlighted? A. the Southern Hemisphere B. the Western Hemisphere C. the Eastern Hemisphere D. the Northern Hemisphere (-2,-1) is a solution of the equation 4x + 5y = -13. 16. Model with Math What must be the sum ofthe two remaining numbers, x and y? Write anequation to show how to find this sum. radical expression of 4d 3/8 Which sentence uses the underlined word correctly?O The principle visited our class todayO Our Constitution is based on certain principlesO Our experiment was based on scientific principalsThe principals of my parents have always stuckwith mele Frenchpium,in HELP ASAP!!!! There is a clip below. Read the passage and then answer the question the battle of Midway was the turning point in the Pacific theater of World War II American planes did significant damage to the Empire of Japan sleep train back in offenses that had begun with the attack on Pearl Harbor that it was notable because it was the first naval engagement in which neither fleet was within sight of the other all of the fighting was conducted by carrier base please Trisha Gomez which sentence avoids plagiarizing the passage A: The battle of Midway is noteworthy because it was the first naval battle in which neither side was within sight of the other according to Trisha Gomez B: during the battle of Midway according to Trisha Gomez the two fleets never actually saw each other and instead hes playing to all the fighting C: Trisha Camerons rights that the battle of Midway was a turning point of the Pacific theater of the second world war turning back an offensive D: Midway is known as the first that on which to navies engage each other without ever coming into visual contact for relying instead on Please answer!!! im trynna pass (like Ross 6.28) The time that it takes to service a car is an exponential random variable with rate 1. (a) If Lightning McQueen (L.M.) brings his car in at time 0 and Sally Carrera (S.C) brings her car in at time t, what is the probability that S.C.s car is ready before L.M.s car? Assume that service times are independent and service begins upon arrival of the car. a factor of 30 is chosen at random, what is the probability that the number has 2 digits? As an employee in the Lottery Commission, your job is to design a new prize. Your idea is to create two grand prize choices: (1) receiving $50,000 at the end of each year beginning in one year for 20 consecutive years, or (2) receiving $500,000 today followed by a one-time payment at the end of 20 years. Using an interest rate of 6%, which of the following comes closest to the amount prize (2) needs to pay at the end of year 20 in order that both prizes to have the same present value?a. $ 326,649 b. $ 440,463 c. $ 114,932 d. $ 393,342 e. $ 235,712 What is the solution to the system of equations graphed below? (0, 4) (1, 3) (3, 1) (4, 0) What is the mood and the tone in the poem Hair by Elizabeth Acevedo? For 120 consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. Each day, she took a sample of 8 bottles. The average across all 960 bottles (120 days, 8 bottles per day) was 46 degrees Fahrenheit. The standard deviation across all bottles was 0.8 degree.Round your answer to 4 digits after the decimal point if it is not an integer. Do NOT use comma in your numeric answers.Sample size is .Number of samples is .When constructing a x-bar chart:The center line should be .ESD(x-bar) equals .The upper control limit (UCL) should be .The lower control limit (LCL) should be . What is the length of AC