Nuber 17 pls (question on quadratics)​

Nuber 17 Pls (question On Quadratics)

Answers

Answer 1

Considering the equation of the parabola, the coefficients are given as follows: p = 5, q = -20, r = 19.

The graph is the one given at the side of the question.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the turning point is (2,-1), hence h = 2, k = -1, and the equation has the following format:

y = a(x - 2)² - 1

The curve passes through (3,4), that is, when x = 3, y = 4, and we use it to find a.

y = a(x - 2)² - 1

4 = a(3 - 2)² - 1

a = 5.

Hence the equation is:

y = 5(x - 2)² - 1

Placing it into standard form, we have that:

y = 5(x² - 4x + 4) - 1

y = 5x² - 20x + 19

Hence the coefficients are:

p = 5, q = -20, r = 19.

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Related Questions

What is the greatest possible error if bruce measured a buckle as 3.2 cm using the ruler? what is the greatest possible error? 0.5 0.05 0.005 0.0005

Answers

Answer:

I believe it's 5.0

Step-by-step explanation:

I believe so if its not I'm sorry

this is my last ever question on brainly.com

please help

Answers

The distance between the means is equal to 8.The mean absolute deviation (MAD) for class A is equal to 2.The mean absolute deviation (MAD) for class B is equal to 2.Distance between the means = four (4) times the MAD.There is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

What is a line plot?

A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

What is a mean?

In Mathematics, a mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the distance between the means of both classes A and B is given by:

Distance = Mean of class A - Mean of class B

Distance = 12 - 4

Distance = 8.

The mean absolute deviation (MAD) for class A is given by:

MAD A = 1/9[2(9 - 12) + (10 - 12) + (11 - 12) + (12 - 12) + (13 - 12) + (14 - 12) + 2(15 - 12)]

MAD A = 1/9[2(3) + (2) + (1) + 0 + (1) + (2) + (1) + 2(3)]

MAD A = 1/9[6 + 2 + 1 + 1 + 2 + 1 + 6]

MAD A = 1/9 × [18]

MAD A = 18/9

MAD A = 2.

Also, the mean absolute deviation (MAD) for class B is given by:

MAD B = 1/9[2(1 - 4) + (2 - 4) + (3 - 4) + (4 - 4) + (5 - 4) + (6 - 4) + 2(7 - 4)]

MAD B = 1/9[2(3) + 2(2) + (1) + (0) + (1) + (2) + 2(3)]

MAD B = 1/9[6 + 4 + 1 + 0 + 1 + 2 + 6]

MAD B = 1/9 × [18]

MAD B = 18/9

MAD B = 2.

Therefore, distance between the means = four (4) times the MAD.

Distance = Means × MAD

8 = 4 × 2.

In conclusion, we can infer and logically deduce that there is no overlap and the distance between the means of both classes A and B is between one (1) times the MAD and five (5) times the MAD.

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The population of Dorchester in 2012 was 294,680. This reflected a 6% increase from the year 1999. What was the population in 1999?​

Answers

The population of Dorchester in 1999 is 277000.

According to the statement

we have given that the population in 2012. and given that the it is increased 6% from the year 1999. And we have to find the population in 1999.

So, For this purpose,

we have given that the number of

population of Dorchester in 2012 = 294,680

increased from year 1999 = 6%

So, here we use percentage and subtraction formula

Population increase in numbers = 6/100*294,680

Population Increase in numbers = 17680

So, Population in 1990 = population of Dorchester in 2012 - Population increase in numbers

Population in 1990 = 294,680 - 17680

Population in 1990 = 277000.

So, The population of Dorchester in 1999 is 277000.

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If a hypothesis test is found to have power = 0. 80, which is the probability that the test will result in a type ii error?

Answers

The probability that the hypothesis test will result in a type ii error, β is 0.20.

In this question,

A type II error is one of two types of statistical errors that can result from a hypothesis test (the other being a type I error). A type II error will occur if the statistical test is not powerful enough. And it occurs when one rejects the alternative hypothesis (fails to reject the null hypothesis) when the alternative hypothesis is true.

The probability of a type II error is denoted by *beta*, β.

Power of a test = 0.80

The relation between power of a test and type II error is given as,

Power = 1 - type II error

⇒ Type II error, β = 1 - 0.80

⇒ Type II error, β = 0.20

Hence we can conclude that the probability that the hypothesis test will result in a type ii error, β is 0.20.

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Quick algebra 1 question for 50 points!

Only answer if you know the answer, Tysm!

Answers

Answer:

x=1

Step-by-step explanation:

2/3(9x-6) = 1/4(12-4x)

We want to solve for x

Distribute

6x-4=3-x

Add x to each side

6x-4+x = 3-x+x

7x-4 = 3

Add 4 to each side

7x-4+4 = 3+4

7x=7

Divide by 7

7x/7 = 7/7

x=1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] (9x - 6) = [tex]\frac{1}{4}[/tex] (12 - 4x) ← distribute parenthesis on both sides

6x - 4 = 3 - x ( add x to both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

What is this expression in simplified form?
4/14 - 11/14

Answers

Answer:

baiBsiasbisvdxhsbhssj

Answer:

-1/7

is the answer of your question

The net of a cylinder has two parts.
True False

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The net of a cylinder has a rectangle for the lateral area and 2 circles for the bases, so it has 3 parts.

Answer: False

Simplify 10 times the square root of quantity 3 x end quantity plus 4 times the square root of quantity 3 x end quantity plus 5 times the square root of quantity 3 x end quantity. 9 times the square root of quantity 3 x end quantity 9 times the square root of quantity 6 x end quantity 19 times the square root of quantity 3 x end quantity 19 times the square root of quantity 9 x cubed

Answers

The square root of the quantity x plus 7 end quantity minus 1 equals x=2.

What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. Square root of, end square root is the symbol for square root. Finding an integer's square root is the inverse of squaring a number.

To find the square root:

√(x + 7) − 1 = x√(x + 7) = x + 1x + 7 = (x + 1)²x + 7 = x² + 2x + 10 = x² + x − 60 = (x + 3) (x − 2)x = -3 or 2

Check for extraneous solutions:

√(-3 + 7) − 1 = -3√4 − 1 = -32 − 1 = -31 = -3x ≠ -3√(2 + 7) − 1 = 2√9 − 1 = 23 − 1 = 22 = 2x = 2

Therefore, the square root of the quantity x plus 7 end quantity minus 1 equals x = 2.

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The correct question is given below:
The square root of the quantity x plus 7 end quantity minus 1 equals x

PLEASE HELP AS SOON AS POSSIBLE!!
After Sally completed her report she wanted to number the pages. She typed exactly 9 eights to number all the gapes in her report. How many pages were there in Sally's report?

Answers

Answer:

80

Step-by-step explanation:

The 9 eights would be

8, 18, 28, 38, 48, 58, 68, 78, 80

Find the missing length indicated.

Answers

The value of the missing length in the image shown using the Pythagoras theorem is x = 1500

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the missing red line. Using Pythagoras:

x² = h² + 900²

h² = x² - 900²

Also:

r² = h² + 1600²

r² = x² - 900² + 1600²

And:

(1600 + 900)² = r² + x²

(1600 + 900)² = (x² - 900² + 1600²) + x²

x = 1500

The value of the missing length in the image shown using the Pythagoras theorem is x = 1500

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Towns A, B, and C lie on a straight line, as shown below. Jack and Arthur start at Town B and drive for an hour from Town B to Town C, where they stop for an hour to eat lunch. Which of the following graphs could represent their distance from Town A during these two hours?

Answers

Considering the situation described, it can be graphed by the first function.

Which graph models the situation?

Cities A, B and C are on a straight line.

On the first hour, they leave town B to town C, moving farther from Town A, hence the distance is increasing on the first hour.On the second hour, they stop for lunch, meaning that the distance remains constant at the point it was at the end of the first hour.

Hence, the first graph is the correct one for this problem.

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12. Diameter,
A = 72Pie
(Circle)

Answers

Answer:

6.98

Step-by-step explanation:

I think that you are looking for the diameter and you are given the area of a circle.

a =[tex]\pi r^{2}[/tex]  You are given pi, so [tex]r^{2}[/tex] = 72.

That means that r = [tex]\sqrt{72}[/tex] or a rounded answer of 8.49 rounded to the hundreds place.  The diameter is equal to 2 radius, so the diameter rounded is 16.98

help with math pls !!!! lots of point

Answers

f(g(3))
f(4 * 3^2 + 9)
f(45)
3 * 45 - 1
134

Choose the definition for the function.
(-x+ 2 x < 1
x ≥ 1
a. y = x + 1
(-x+ 2
x + 1
b.y = {-x+ 2 x≤1
1
x >
c. y = {-x-
C.
x≤ 1 d. y = { x + 1
(-x+ 2
x > 1
x ≤ 1
x ≥ 1
x < 1
Enter

Answers

Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

pls solve this. this is of set class 9.

Answers

Here is the answer :

people who like both the songs is 35 and

people who like only folk songs is 100.

y= 8x +10 is this nonlinear or linear​

Answers

Answer:

linear

Step-by-step explanation:

This is a line with slope  m = 8  and y-axis intercept of 10

Answer:

linear

Step-by-step explanation:

y = 8x + 10

is an equation in the form y = mx + b.

The form y = mx + b is called the slope-intersect form of the equation of a line.

Since it is the equation of a line, it is linear.

Viviana is tracking the number of calories she burns working out. Her watch
tracker says she burned 596 calories in 1 hour. Approximately how many calories
did she burn per minute? Round to the nearest tenth.

Answers

Answer:

9.93 calories

Step-by-step explanation:

If 596 calories = 1h

then ?? calories =1m

since 1h=60 min

>>( 1/60)×596

=9.93 calories

Solve for x.

x/3 ≤ −6

Answers

x / 3 ≤ -6

---Multiply both sides by 3 to cancel out the denominator on the left side

x ≤ -18

Hope this helps!

Answer:

x=18 we multiply both 6and3

two less than y is subtracted from x​

Answers

Answer: x- (y-2)

Step-by-step explanation:

Two less than y would be y-2,

Then you just subtract it from x

300 high school students were asked how many hours of TV they watch
per day. The mean was 2 hours, with a standard deviation of 0.5. Using a
90% confidence level, calculate the maximum error of estimate.

Answers

Using the z-distribution, it is found that the maximum error of the estimate is of 0.0475 hours.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

For this problem, the values of the parameters are given as follows:

[tex]\sigma = 0.5, n = 300[/tex]

We have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Thus the maximum error of the estimate in hours is found as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.645\frac{0.5}{\sqrt{300}}[/tex]

M = 0.0475 hours

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Answer:

4.75%

Step-by-step explanation:

Given:     μ=z     σ=0.5     ∩=300     CL=90%

Maximum error  [tex]=Za/2*\frac{6}{\sqrt{n} } \\[/tex]

                          [tex]=1.645*\frac{0.5}{\sqrt{300} } \\=0.0475\\[/tex]

                          = 4.75%

The logarithmic function j(x) is defined as j(x)=log(x+5)−1. The graph below shows the logarithmic function k(x).
Which statement about the two functions is true?

A
Both functions have the same vertical asymptote.

B
Both functions have a domain of all real numbers.

C
The x-intercept of k(x) is greater than the x-intercept of j(x).

D
Function j(x) is greater than function k(x) for all values of x.

Answers

The correct statement regarding the logarithmic functions is:

C The x-intercept of k(x) is greater than the x-intercept of j(x).

What is the domain of a logarithmic function?

A composite logarithmic function f(x) = log(g(x)) has the domain of g(x) > 0.

What are the vertical asymptotes of the logarithmic functions?

For the function j(x), we have that it is at:

x + 5 = 0

x = -5.

For the function k(x), we have that it is at x = 5 from the graph.

What are the x-intercepts of the functions?

For the function j(x), we have that:

log(x + 5) - 1 = 0

log(x + 5) = 1

10^[log(x + 5)] = 10^1

x + 5 = 1

x = -4.

For k(x), from the graph, it is at x = 6, hence option C is correct.

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What is a sample statistic give examples give examples. (select all that apply.)

Answers

A sample statistic is a numerical descriptive measure of a sample.

What is a sample statistic?A sample statistic is a numerical metric that describes a sample. A statistic (plural) or sample statistic is any quantity generated from values in a sample for statistical purposes. Estimating a population parameter, characterizing a sample, or testing a hypothesis are all statistical goals. A statistic is the average (or mean) of sample values. The term statistic refers to both the function and the function's value on a particular sample. When a statistic is utilized for a certain purpose, it may be given a name that indicates that purpose.The three examples are - x bar, s, s^2, p hat

Therefore, a  sample statistic is a numerical descriptive measure of a sample.

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The complete question is given below:

What is a sample statistic?

A _____descriptive measure of  a _____.

Give three examples. (Select all that apply.)

Use 3.14 for pi. ROUND FINAL ANSWER TO TENTHS!

Answers

2461,8

hope this helps!! just use the formulas and substitute

Which value is a solution for the equation tan/2=-1

Answers

The value of the solution is 3π/2.

What is a trigonometric equation?

An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.

tan x/2 = -1

tanx/2 = tan(-π/4)

tanx=tanФ

⇒ The general equation of tanx=tanФ is

⇒ x=nπ+Ф

x/2=nπ+(-π/4)

at n=0

x/2=-π/4

x=-π/2

at n=1

x/2=π-π/4

x/2=3π/4

x=3π/2

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Questions: Which value is a solution for the equation tan x/2 = -1?

A. 5pi/4

B. 7pi/4

C. 3pi/4

D. 3pi/2

The graph of the function g(x) = -x is shown on the grid below.
Graph the function h(x) = -x +2+3 in the interactive graph.
←++
-9-8-7-6-5-4-3-2
888610321
9
Y
7+
6+
5+
4+
3.
2.
-2-
-3+
-4+
-5+
-6+
$7
-8+
69
-9.
2 3 4 5 6 7 8 9
y= g(x)
→x

Answers

The graph is shown in the attached image.

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

The graph is given below.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of y = -x is a straight line that passes through the origin and has a slope of -1.

It extends infinitely in both directions and has a negative slope, which means that as x increases, y decreases.

The graph of y = |x + 2| - 3 is a bit more complex.

The absolute value function |x + 2| means that the value of x + 2 is taken, and then the absolute value of that value is calculated.

The absolute value function always returns a positive value, so the graph of y = |x + 2| is a V-shaped curve that opens upwards and passes through the point (-2, 0).

The minus sign outside the absolute value function means that the entire curve is reflected about the x-axis, so the graph of y = -|x + 2| is also a V-shaped curve, but this time it opens downwards.

Finally, the +3 at the end of the equation means that the entire graph of

y = -|x + 2| is shifted upwards by 3 units.

Thus,

The final graph of y = -|x + 2| + 3 is a V-shaped curve that opens downwards and is shifted upwards by 3 units.

This curve intersects the x-axis at x = -4 and x = -0 and passes through the point (-2, 1).

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Does the graph represent a function?

Answers

It is true that the graph represents a function

How to determine if the graph represent a function?

For a graph to represent a function, the following must be true

Each x value on the graph must point to exactly one

The above means that the function must pass the vertical line test

The given graph would pass the vertical line test

This is so because:

Each x value on the graph points to exactly one

Hence, the graph represents a function

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Mrs. washington has a small fenced-in, rectangular play area behind her house for her dog. there is 80 feet of fencing around the perimeter of the play area, and the width is 14.8 feet. mrs. washington needs to buy new sod to cover the entire area of play space. if sod costs $1.50 per square foot, how much will it cost mrs. washington to buy enough sod for the entire play area?

Answers

Answer:

$1118.88

Step-by-step explanation:

Lets start by finding all sides of the perimeter to get an accurate measure of the area.

We know the width is 14.8 feet, that means the opposite side also equals 14.8 feet.

Now the other two sides must sum to 50.4 (80-(14.8*2)) and be equal, so we can divide 50.4 by two to get 25.2 for the other two sides.

Now we can calculate area by multiplying one from each side:

[tex]14.8*50.4=745.92[/tex]

Now to find the price of required sod, multiply the area by cost per square foot

[tex]745.92*1.50=1118.88[/tex]

Therefore it will cost 1118.88 dollars to cover the entire area in sod.

Which elementary row operation will reduce the x–element in row 2 to 0 in this matrix?

Answers

The elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

How to determine the elementary row operation?

The complete question is added as an attachment

The matrix is given as:

1   1    1       12

2  1    0     14

2  0   3      19

Rewrite as:

x   y    z      

1   1    1       12

2  1    0     14

2  0   3      19

So, the x-element of the second row is

x = 2

When the first row is multiplied by negative 2 and added to the second row, the x-element of the second row is reduced to 0

This is represented as;

-2R1 + R2

i.e.

-2(1   1    1       12)

+   2  1    0     14

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

    0  -1   -2    -10

Hence, the elementary row operation that will reduce the x–element in row 2 to 0 in this matrix is -2R1 + R2

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:
The answer is C- Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

The figure shown is made up of a cone and a cylinder. The height of the cone is 5 ft and its diameter is 12 ft. The height of the cylinder is 20 ft.

Diagram shows a composite shape formed by placing a cone next to a cylinder that share a common circular base. The diameter of the cone is labeled 12 feet, the height of the cone is labeled 5 feet, and the height of the cylinder is labeled 20 feet.
Find the lateral surface area of the cone and the surface area of the sides and bottom of the cylinder.

The lateral surface area of the cone is about Blank ft2. The surface area of the sides and the bottom of the cylinder is about blank ft2. The total surface area of the figure is about blank ft2.

Options for blank 1
A.260
B.188
C. 147
Options for blank 2
A. 980
B. 867
C. 1,508
Options for blank 3
A. 1,168
B. 1,768
C.1,127
D. 1,014

Answers

The lateral area of a cone is 147ft².

The total surface area of the cylinder is 867ft².

The total surface area is 1014ft²

What is the lateral surface area of a cone?

The lateral area of a cone is defined as the area covered by the curved surface of the cone.

Lateral area of a cone = πr x √(r² + h²)

Where:

r = radius = 12/2 = 6ft h = height = 5ftπ = 3.14

3.14 x 6 x √(36 + 25) = 147ft²

What is the total surface area of the figure ?

Total surface area of the cylinder : πr(r + 2h),

(3.14 x 6) x (6 + 40) = 867ft²

Total surface area = 867 + 147=  1014ft²

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Please help I NEED this done soon!Create a scenario on how the dermis and epidermis layers protect you while hiking. Auto manufacturing workers typically perform tasks that are overseen by their managers. this arrangement is which one of taylors scientific management principles? What is the formula for cost of goods sold under LIFO? What are the solutions of the system of equations y = (x + 2)2 + 1 and y = 2x + 5? A (4, 3) and (2, 1) B (4, 3) and (2, 1) C (4, 5) and (2, 1) D (4, 5) and (2, 1) I really need help with this!! Ill give brainliest to who ever answers!! guys pls make it fast [tex]3^{3x-2\\} =\sqrt[3]{9}[/tex] When the camera lens shifts focus in one continuous shot to objects in different planes of depth one after another, this is called:_____. Robin has been working out five days a week for the past six months she is now planning to take a month long break from the gym which training principle should robin consider before taking this break What should audience members ask themselves when they evaluate how an actor interprets a character? choose three answers. The process of evaluating and planning for long-term investments is called budgeting. How is the criterion of distress met for someone who has very little awareness of their disordered behavior? Calculate the following, and place the calculated solution on the appropriate line. In all cases, assume the companies that are the subject of the question are US companies using US GAAP.a. Berful sells one product. It had one item in beginning inventory that cost $10,000, and purchased 4 more items during the accounting period. The cost changed with each purchase, as shown below:Item Cost of ItemFirst $12,000Second 14,000Third 15,000Fourth 16,000If 3 items were sold during the year, calculate the cost of ending inventory using the following cost flow assumptions (Remember beginning inventory in your calculations!):FIFO $_____________LIFO $_____________Weighted Average $_____________b. Berful purchased a machine on the first day of the accounting period at a cost of $22,000. The machine is expected to have a life of 5 years or 20,000 units, and a salvage value of $2,000. Calculate the second year depreciation expense using the following depreciation methods (6,000 units produced in year 2):Straight-line $_____________Double-declining Balance $_____________Units-of-production $_____________c. Calculate the correct balance of cash to be included in the Cash account on the firms balance sheet by preparing a bank reconciliation of its checking account from the data given below:Item AmountBalance per Bank Statement $16,655.44Balance per Books $12,091.94Deposits in Transit $ 2,234.81Outstanding Checks $ 6,808.16Bank Service Charge $ 9.85 Correct balance of cash in this account $__________d. Show the accounting entry required as a result of the above bank reconciliation in the space below:e. If Berful uses the Allowance Method to determine its bad debt expenses, establishing its estimate as 1% of Net Sales, and Net Sales total $600,000, show the adjusting journal entry required if the Allowance for Bad Debts account has a debit balance of $2,000? Section 1: ENERGYDiscuss how we obtain and use energy in this section of your project. You should include how we use natural resources to create energy and at least two different types of alternate energy sources. Breathing into and out of a paper bag for a long period of time will lead to? He first arrived in the us ten years ago.he has been in the us ____________ ten years. while over since for What feature of the solar system separates the terrestrial planets from the jovian planets? Digital cameras and memory cards are multiple choice substitute goods. complementary goods. independent goods. inferior goods. The reason the position of a particle cannot be specified with infinite precision is the? Evaluate, leave ur answer in index form. 2 2^-1 When students are not aware of the researchers presence, they are inattentive, unfocused, and distracted. which concept best describes this phenomenon?