find the measure of the missing angles. x and y

Find The Measure Of The Missing Angles. X And Y

Answers

Answer 1

The missing Angle x is 90 degrees, and the missing angle y is 70 degrees.

To find the missing angles of a given figure, one must first understand the different types of angles. An angle is a geometric figure that is formed when two rays come together at a single point called a vertex. The measure of an angle is determined by the degree of the arc that the angle covers on a circle with the vertex of the angle at its center. Types of Angles There are four types of angles that one must be familiar with in order to solve for the measure of missing angles: Acute angle: An angle whose measure is less than 90 degrees. Right angle: An angle whose measure is equal to 90 degrees. Obtuse angle: An angle whose measure is greater than 90 degrees but less than 180 degrees. Straight angle: An angle whose measure is equal to 180 degrees. To find the missing angles in a given figure, one can use the following formula: Sum of all angles in a triangle = 180 degrees of all angles in a quadrilateral = 360 degrees from the given diagram, it can be seen that the three angles of the triangle add up to 180 degrees. Therefore:34 + x + 56 = 180Simplify by adding like terms:90 + x = 180Subtract 90 from both sides to isolate x:x = 90 degreesSimilarly, the four angles of the quadrilateral add up to 360 degrees. Therefore:100 + 70 + y + 120 = 360Simplify by adding like terms:290 + y = 360Subtract 290 from both sides to isolate y:y = 70 degrees

Therefore, the missing angle x is 90 degrees, and the missing angle y is 70 degrees.

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Related Questions

What will the answer be?

Answers

Answer:

hi!

Step-by-step explanation:

Kathy bought a total of 60 cupcakes. Supreme cupcakes cost $12 each and regular cupcakes cost $3 each. She spent a total of $90. Which system of equations will determine the number of supreme (s) and regular (r) cupcakes that Kathy purchased?

Answers

Answer:

s + r = 60 and 12s + 3r = 90

Step-by-step explanation:

I just took the quiz and it said this is correct

The diameter of a circle is 8 inches. What is the area?

d=8 in

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Radius = Half of Diameter

r = 8/2

= 4 in.

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]

Sydney is building a doghouse. The house will be 3 and one-half feet tall. How
many inches tall will the house be?

Answers

Answer:

42 inches

Step-by-step explanation:

1 FT=12 inches

One half FT=6 inches

12×3=36

36+6=42

Answer:

42 inches

Step-by-step explanation:

The question is basically asking you to convert 3 1/2 ft into inches. Since there are 12 inches in a feet you have to multiply 3 1/2 by 12. It easier to do it when you turn 3 1/2 into a decimal, which would be 3.5. So then, you multiply 3.5 by 12, to get 42 inches.

12 inches = 1 feet

3 1/2 = 3.5

3.5 x 12 = 42

The house will be 42 inches tall.

Laura is the fund-raising manager for a Local charity. She is Ordering caps for an upcoming charity walk. the company that makes the caps charges six dollars per cap plus a $25 shipping fee Laura has a budget of $1000 what is the greatest number of cats so she can buy

Answers

Answer:

162 caps.

Step-by-step explanation:

Let x be the number of caps.

We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.

We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges ().

Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000. We can represent this information in an equation as:

Now let us solve for x.

Let us divide both sides of our inequality by 6.

Can someone help me you’re correct me it only let me type one number plz

Answers

Answer:

9

Step-by-step explanation:

Hello There!

The circumference is equal to the diameter times π

The diameter given is 9m

NOTE: it says "leave answer in terms of π" meaning that we do not apply π to the diameter

So the answer would be just 9π

Answer:

9

Step by step:

C= 2 x pi x r

c = 2 x pi x 4.5

c=  9 x pi

If the probability of surviving the zombie apocalypse for 1 year is 20% a. what are the odds of surviving (explain)? (1 pt) b. What are the odds of not surviving (explain)? (1 pt) c. If I bet $25 on you to survive, and you do, how much would you pay based on the odds? (1 pt)

Answers

a) The odds of surviving is 1/4

b) The odds of not surviving is 4.

c) You would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

a) The odds of surviving the zombie apocalypse can be calculated by taking the probability of survival (20%) and dividing it by the probability of not surviving

100% - 20% = 80%

So the odds of surviving would be,

20%/80% = 1/4

This means that for every one chance of surviving, there are four chances of not surviving.

b) The odds of not surviving the zombie apocalypse can be calculated by taking the probability of not surviving (80%) and dividing it by the probability of survival (20%).

So the odds of not surviving would be

80%/20% = 4/1

This means that for every four chances of not surviving, there is one chance of surviving.

c) If you bet $25 on surviving and you do survive, based on the odds of 1/4, you would win the bet. The payout can be calculated by multiplying the bet amount by the odds of surviving.

So the payout would be

$25 * 1/4 = $6.25

Therefore, based on the odds, you would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

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4 cards are drawn from a deck of shuffled cards without
replacement.
Find the probability that:
a) All are kings
b) All are red cards

Answers

a) The probability of drawing all kings from a shuffled deck of cards without replacement is approximately 0.0000014, or 1.4 in 1 million.

b) The probability of drawing all red cards from a shuffled deck without replacement is approximately 0.000000103, or 1.03 in 10 million.

a) Probability of drawing all kings:

To calculate the probability of drawing all kings, we need to determine the total number of possible outcomes and the number of favorable outcomes. Let's break it down step by step:

Step 1: Total number of possible outcomes

In a standard deck of 52 playing cards, there are four kings. When we draw one card, there are 52 cards to choose from. For the second draw, only 51 cards remain, and so on. Therefore, the total number of possible outcomes for drawing four cards without replacement is:

52 × 51 × 50 × 49 = 649,740

Step 2: Number of favorable outcomes

Since we want all four cards to be kings, there are only four kings in the deck. When we draw the first card, there is a 4/52 chance of it being a king. For the second card, the probability reduces to 3/51 since there are three kings remaining out of 51 cards. Similarly, for the third and fourth cards, the probabilities become 2/50 and 1/49, respectively. Therefore, the number of favorable outcomes is:

(4/52) × (3/51) × (2/50) × (1/49) = 1/270,725

Step 3: Calculating the probability

Finally, we can calculate the probability of drawing all kings by dividing the number of favorable outcomes by the total number of possible outcomes:

P(all kings) = (1/270,725) / (649,740) ≈ 0.0000014

b) Probability of drawing all red cards:

Similarly, let's calculate the probability of drawing all red cards from the deck. We follow the same steps:

Step 1: Total number of possible outcomes

When we draw the first card, there are 26 red cards in a deck of 52. For the second draw, there are 25 red cards remaining out of 51, and so on. Hence, the total number of possible outcomes for drawing four cards without replacement is:

26 × 25 × 24 × 23 = 358,800

Step 2: Number of favorable outcomes

Since we want all four cards to be red, there are 26 red cards in the deck. The probability of drawing a red card for the first draw is 26/52. For the second draw, the probability becomes 25/51, for the third draw it is 24/50, and for the fourth draw, it is 23/49. Thus, the number of favorable outcomes is:

(26/52) × (25/51) × (24/50) × (23/49) ≈ 0.037

Step 3: Calculating the probability

The probability of drawing all red cards is the ratio of the number of favorable outcomes to the total number of possible outcomes:

P(all red cards) = (0.037) / (358,800) ≈ 0.000000103

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You intend to conduct a goodness-of-fit test for a multinomial distribution with 5 categories. You collect data from 55 subjects. What are the degrees of freedom for the xa distribution for this test?

Answers

For the goodness-of-fit test with data collected from 55 subjects, the degrees of freedom for the chi-square distribution will be 4.

In a goodness-of-fit test, the degrees of freedom for the chi-square distribution determine the critical values and the interpretation of the test statistic. For a multinomial distribution with k categories, the degrees of freedom are calculated as (k - 1).

In this specific case, we have a multinomial distribution with 5 categories. Therefore, the degrees of freedom for the chi-square distribution will be (5 - 1) = 4.

Having 4 degrees of freedom means that the chi-square test statistic will be evaluated against the chi-square distribution with 4 degrees of freedom to determine the p-value and assess the significance of the test. The critical values at the chosen significance level will also depend on these degrees of freedom.

In summary, when conducting a goodness-of-fit test for a multinomial distribution with 5 categories and collecting data from 55 subjects, the chi-square test will have 4 degrees of freedom. These degrees of freedom play a crucial role in determining the validity and interpretation of the test results.

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two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 6t, 1 30t, 1 126t . find the points at which their paths intersect. (if an answer does not exist, enter dne.)

Answers

Two particles are traveling along space curves defined by the equations r₁(t) = (t, t², t³) and r₂(t) = (1/6t, 1/30t, 1/126t). We need to find the points at which their paths intersect.

To find the points of intersection, we need to solve the system of equations formed by equating the components of the two space curves.

Comparing the x-components, we have:

t = 1/(6t) => t² = 1/6 => t = ±√(1/6).

Comparing the y-components, we have:

t² = 1/(30t) => t³ = 1/30 => t = ±∛(1/30).

Comparing the z-components, we have:

t³ = 1/(126t) => t⁴ = 1/126 => t = ±∜(1/126).

Combining all the solutions, we have four possible values for t: √(1/6), -√(1/6), ∛(1/30), and -∛(1/30). However, we need to check if these values are valid for all components of the curves.

By substituting these values of t into the equations, we find that only the value t = √(1/6) yields valid points of intersection: (√(1/6), 1/6, 1/√6) and (-√(1/6), 1/6, -1/√6).

Therefore, the points at which the paths of the particles intersect are (√(1/6), 1/6, 1/√6) and (-√(1/6), 1/6, -1/√6).

Please note that the other values of t do not yield valid points of intersection, so they are not considered as solutions in this case.

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How did Clay and Webster fight against Jackson’s dislike for the bank?

Answers

Answer:

Jackson's opponents planned to use the bank to defeat him in the 1832 presidential campaign. Senators Henry Clay and Daniel Webster were friends of Biddle. ... They thought that if Jackson tried to veto, or reject, the renewal of the charter, he would lose support.

Step-by-step explanation:

Select all the TRUE sentences!!!

Answers

Answer:

The last two.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

Find the value of the variables in the simplest form

Answers

Answer:

y = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

y² = ([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{2}[/tex] )² = 2 + 2 = 4 ( take the square root of both sides )

y = [tex]\sqrt{4}[/tex] = 2

find the slope of the two points: 4,-3 and 8,-3

Answers

Answer:

0 slope

Step-by-step explanation:

flat horizantal line

no increase in y-value

Can you please help me with this question I keep getting the wrong answer

Answers

Answer:

14

Step-by-step explanation:

A square dance floor has a perimeter of 120 yards.
What is the length of a diagonal of the dance floor?
O 38.3 yd
O 30 yd
O 60 yd
O 42.4 yd

Answers

=42.4 yd is the diagonal length of the dance floor

BRAINLIEST AND 50 POINTS UP FOR GRABS: PLEASE LEAVE DETAILED ANSWERS
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

Answers

Answer:

Triangle P' Q' R' is half the size of the original triangle.

-The scale factor is probably 1/3.

Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).

Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.

Step-by-step explanation:

:)

Peterkin park has a square fountain with a walkway aroind it. The fountain measures 12 feet on each side. The walkway is 3 1/2 feet wide.Find the area of the walkway

Answers

Answer: 829.44 ft²

Step-by-step explanation:

Correction - The walkway is 31.2 feet wide.

To solve this, first find the area of the fountain:

Area of a square = Length * Width

= 12 * 12

= 144 ft²

The find the area of the walkway including the fountain:

= 31.2 * 31.2

= ‭973.44‬ ft²

To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:

= 973.44 - 144

= 829.44 ft²

Which point is a reflection of (12, −8) across the y-axis on a coordinate plane? A (8, 12) B (−8, 12) C (−12, −8) D (12, 8)

Answers

Answer:

option A

Step-by-step explanation:

thats the answer!!!

HELP ASAP!!
Rewrite the function by completing the square
f(x) = x^2 - 6x - 60

f(x) = (x+ ___)^2 + ___

Answers

Ask yourself f(x) equals X +18 to the second power +12

Answer:

-3 for the first box and -69 for the second one.

Step-by-step explanation:

Which is NOT an equation?

a
x + 14 = 32

b
3 + x

c
10 – 2x = 10 + 5x

d
12 = 0.5x – 3

Answers

b 3 + x is an expression because it has no =

Answer:

B because it does not contain an = sign








Use inverse matrix to solve the following systems of equations: - 3', 2X, - 4X2 = -3 3X1 +5X2 = 1 9.) 3X1 - 2X2-4 = 0 -4X1 + 3X2 + 5 = 0

Answers

Using the inverse matrix, the solution to the system of equations is X₁ = -7/25 and X₂ = -2/25.

To solve the system of equations using the inverse matrix, we can represent the equations in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

The system of equations can be written as:

Equation 1: -3X₁ + 2X₂ = -3

Equation 2: 3X₁ + 5X₂ = 1

Equation 3: 3X₁ - 2X₂ = 4

Equation 4: -4X₁ + 3X₂ = -5

Rewriting the equations in matrix form, we have:

[tex]\left[\begin{array}{ccc}-3&2\\3 &5\\3 &-2\\-4 &3\end{array}\right] \left[\begin{array}{ccc}X1\\X2\end{array}\right]=\left[\begin{array}{ccc}-3\\1\\4\\-5\end{array}\right][/tex]

To find the solution, we need to calculate the inverse of the coefficient matrix A. Let's call it A^(-1).

[tex]A^{-1}=\left[\begin{array}{ccc}\frac{-11}{25}&\frac{2}{25}\\\frac{3}{25}&\frac{3}{25}\\\end{array}\right][/tex]

Now, we can solve for X by multiplying A^(-1) with B:

[tex]\left[\begin{array}{ccc}X1\\X2\end{array}\right]=\left[\begin{array}{ccc}\frac{-11}{25}&\frac{2}{25}\\\frac{3}{25}&\frac{3}{25}\\\end{array}\right]\left[\begin{array}{ccc}-3\\1\\4\\-5\end{array}\right][/tex]

Performing the matrix multiplication and Simplifying the results, we have:

X₁ = -7/25

X₂ = -2/25

Therefore, the solution to the system of equations is X₁ = -7/25 and X₂ = -2/25.

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Matt bought 7 shirts for a total of $38. Tee shirts cost $5 and long sleeve shirts cost $6. How many of each type of shirt did he buy? HELP PLZ 100 POINTS

Answers

Answer:

tee shirt:4

sleeve shirt:3

Step-by-step explanation:

we are given two conditions

Matt bought 7 shirts for a total of $38Tee shirts cost 5 dollars and long sleeve shirts cost 6 dollars

we want to figure out how many each type of shirt he bought

let tee and sleeve shirts be t and s respectively

according to the first condition

[tex] \displaystyle t + s = 7[/tex]

according to the second condition

[tex] \displaystyle5t + 6s = 38[/tex]

therefore

our system of linear equation is

[tex] \displaystyle\begin{cases}t + s = 7 \\ 5t + 6s = 38 \end{cases}[/tex]

so

now we need our algebra skills to figure out t and s

to do so we can use substitution method

cancel s from both sides of the first equation:

[tex] \displaystyle t = 7 - s \: \cdots \: i[/tex]

now substitute the value of i equation to the second equation:

[tex] \displaystyle 5(7 - s) + 6s = 38[/tex]

distribute:

[tex] \displaystyle 35 - 5s+ 6s = 38[/tex]

collect like terms:

[tex] \displaystyle s + 35 = 38[/tex]

cancel 35 to both sides:

[tex] \displaystyle \therefore s = 3[/tex]

now substitute the value of s to the i equation:

[tex] \displaystyle t = 7 - 3 \\ \therefore \: t = 4[/tex]

hence,

he bought tee shirt 4 and sleeve shirt 3

On the main floor of the Kodak hall at Eastman theater the number of seats per row increases at a constant rate Steven counts 31 seats in row three and 37 seats in row six how many seats are there in route 20

Answers

Answer:

67

Step-by-step explanation:

no

S5=7+7x^(5)+7x5^(2)+7x5^(3)+7x5^(4)

Answers

Answer:7

+

7

(

5

)

+

7

5

(

2

)

+

7

5

(

3

)

+

7

5

(

4

)

Step-by-step explanation:

Answer: 5473+7x^5

Step-by-step explanation:

Try Photo Math! Gives step by step explanations!

Hope this helps!!

Follow the process of completing the square to solve x2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? -8 -12 -32

Answers

Answer:

25

Step-by-step explanation:

Given the expression x^2 - 10x + 8 = 0.

According to completing the square method

Subtract 8 from both sides

x^2 - 10x + 8 - 8 = 0 - 8

x^2 - 10x = -8

Complete the square

Add the square of half of coefficient of x to both sides

Coefficient of x = -10

Half of Coefficient of x = -10/2

Half of Coefficient of x = -5

Square of Half of Coefficient of x = (-5)^2

Square of Half of Coefficient of x = 25

Add (-5)^2 to both sides

x^2 - 10x + (-5)^2 = -8 + (-5)^2

(x-5)^2 = -8 + 25

(x-5)^2 = 17

Hence the required constant that was added is 25

The table shows the transactions for one week for Tasha and Jamal Who was the greater account balance at the end of the week How Much greater?

______ has the greater balance at the end of the week. This balance is $_______ greater than the other balance

Answers

Answer:

Tasha has the greater balance at the end of the week.This balance is $381

The account balance is the remaining amount after the deduction of withdrawals from the deposits.

Tasha has the greater balance at the end of the week. This balance is $1 greater than the other balance.

What is account balance?

It is the remaining amount after the deduction of withdrawals from the deposits.

We have,

Tasha:

Initial deposits = $250

Withdrawals = $20

Deposits = $65

Debit card purchases = $46

Balance = $250 - $20 + $65 - $46 = $249

Jamal:

Initial deposits = $200

Withdrawals = $60

Deposits = $135

Debit card purchases = $27

Balance = $200 - $60 + $135 - $27 = $248

We see that Tasha has a greater balance than Jamal and Tasha's balance is greater than Jamal's by $1.

Thus,

Tasha has the greater balance at the end of the week. This balance is $1 greater than the other balance.

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ANSWER NO LINKS!!!! OKAY

Answers

Answer:

50

Step-by-step explanation:

180-(65+65)

Answer:

<C = 50

Step-by-step explanation:

<c = x

x + 65 + 65 = 180

x + 130 = 180

x = 50

Problem 6. Miss Ang buys a dozen of eggs (12 eggs in an egg tray) from HS Farm every day, starting at Day 1. For each egg produced by HS Farm, there is a 0.001 chance that it is spoiled.
(a) Find the probability of that in one week, Miss Ang bought at most (≤) 2 trays of eggs with each having at least one spoiled egg. Write your answer (applying to (b) and (c) as well) up to 3 decimal point.
(b) Let N be the first day (counted from Day 1) that Miss Ang bought a tray of eggs containing at least one spoiled. Find the expected value of N.
(c) Suppose Day 1 is Sunday. Compute the probability that Day N is also Sunday.

Answers

a) The probability that in one week, Miss Ang bought at most (≤) 2 trays of eggs with each having at least one spoiled egg=0.016

b) The expected value of N=86.6

c) The probability that Day N is also Sunday=1/7.

Explanation:

a)

For 1 day, 1 tray must contain no spoiled eggs: 0.999^12,

1 tray must have at least 1 spoiled egg: 1 - 0.999^12,

and the probability that Miss Ang has 2 trays, each containing at least 1 spoiled egg in one day:

(1 - 0.999^12) * (1 - (0.999^12 + 11 * 0.001 * 0.999^11)) = 0.00245

For 7 days, the probability that Miss Ang has at most 2 trays, each containing at least 1 spoiled egg:

= 0.00245 * C(7,0) * 1^0 * (1 - 1)^7 + 0.00245 * C(7,1) * 1^1 * (1 - 1)^6 + 0.00245 * C(7,2) * 1^2 * (1 - 1)^5

= 0.01622 ≈ 0.016

b)

Let X be the number of trays that Miss Ang has to buy to get the first tray containing at least 1 spoiled egg. Then X follows a geometric distribution with parameter

p = 1 - 0.999^12 and

E(X) = 1/p = 1/0.011543 ≈ 86.6 (rounded to the nearest 0.1).

c)

Since Miss Ang buys one tray of eggs a day, the probability that Day N is Sunday is 1/7. Therefore, the probability that Day N is Sunday given that it is the first day that Miss Ang bought a tray of eggs containing at least one spoiled is also 1/7.

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a) The probability of that in one week, Miss Ang bought at most (≤) 2 trays of eggs with each having at least one spoiled egg:

              P(X ≤ 2) = 0.2966763801

b) The expected value of N = 83.8059327318 days

c) The probability that Day N is also Sunday= 0.1406909760

(a)

For each egg produced by HS Farm, there is a 0.001 chance that it is spoiled. Therefore, the probability that an egg is not spoiled is

1-0.001 = 0.999.

Since Miss Ang buys one dozen eggs every day, the probability that all 12 eggs in a tray are not spoiled is

(0.999)¹² = 0.98806738389.

Therefore, the probability that there is at least one spoiled egg in a tray is

1 - 0.98806738389 = 0.01193261611.

The probability that Miss Ang buys at most 2 trays of eggs with each having at least one spoiled egg in one week (7 days) can be found using the Poisson distribution with a mean of λ = 1.19574793916.

Therefore,

P(X ≤ 2) = 0.2966763801

(b)

Let N be the first day that Miss Ang bought a tray of eggs containing at least one spoiled.

Since Miss Ang buys one tray of eggs every day, the probability that N = n is the probability that the tray she buys on day n has at least one spoiled egg, and all the trays she buys on days 1, 2, ..., n - 1 have no spoiled eggs.

This probability is given by

[tex]P(N = n) = (0.98806738389)ⁿ⁻¹(0.01193261611)[/tex]

The expected value of N can then be found by taking the sum of nP(N = n) over all possible values of n.

This gives

[tex]E(N) = Σn=1∞nP(N = n)[/tex]

[tex]= Σn=1∞(0.98806738389)ⁿ⁻¹(0.01193261611)[/tex]

n= 83.8059327318 days.

(c)

Suppose Day 1 is Sunday. Since Miss Ang buys one tray of eggs every day, Day N is also Sunday if and only if N ≡ 1 (mod 7).

Using the same method as in part (b), we get

[tex]P(N ≡ 1 (mod 7)) = Σk=0∞P(N = 7k + 1)[/tex]

                         =[tex]Σk=0∞(0.98806738389)ⁿ⁻¹(0.01193261611)[/tex]

                         = 0.1406909760

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what percent of 272 is 34?

Answers

the answer is 12.5% this is the correct answer
Other Questions
In preparing the above trial balance, the following additional information was extracted from one of the law firms operating bank accounts at the First National State Bank. The December 31, 2021 bank statement shown below disclosed a balance of$128,328.First National State Bank20, High Street, Queenstown.Customer Account Number: 777-222-5140Bank Statement for the month of December 01 - 31, 2021DateDescriptionDebitCreditBalance01-12Previous balance103,230.0001-12Cheque # 5975,520.0097,710.0002-12Cheque # 5952,825.0094,885.0006-12Cheque # 5917,240.0087,645.0007-12Deposit15,455.00103,100.0010-12Cheque # 5941,285.00101,815.0013-12NSF cheque2,415.0099,400.0015-12Deposit13,530.00112,930.0018-12Cheque # 5994,810.00108,120.0020-12Cheque # 5922,620.00105,500.0022-12Deposit9,875.00115,375.0023-12Service charges120.00115,255.0024-12Cheque # 5932,875.00112,380.0024-12Cheque # 6032,402.00109,978.0024-12Customer note andinterest15,500.00125,478.0024-12Service fee on note50.00125,428.0027-12Cheque # 6003,635.00121,793.0028-12Deposit7,850.00129,643.0030-12Cheque # 5981,480.00128,163.0030-12Interest earned165.00128,328.0031-12Statement Totals37,277.0062,375.00128,328.00On the same date, December 31, 2021, the cash account in the general ledger of the firm indicated a balance of $117,113. A comparison of the bank statement and cash account revealed the following:The firms records showed a deposit of $9,320 made on December 31 that is not reflected on the bank statement.The accounting records indicate three cheques written but not yet reflected on the bank statement. These three cheques are as follows:Cheque # 596 - $1,450 Cheque # 601 - $2,230 Cheque # 602 - $3,415The deposit of $15,500 on the bank statement on December 24 was the collection of a note with interest. The value of the note was $15,000 and the other $500 was interest. A fee of $50 was charged by the bank to collect the customers note. The statement notifies the firm that the note with interest has been collected.The bank statement reflected service charges of $120 for December 31, 2021.An entry on December 31 on the bank statement shows interest earned of$165 on the bank account during December.A review of the cancelled cheques returned with the bank statement detected an error that the firm made. The firms records indicated that cheque #598 was paid to Andy John for plumbing services and was recorded incorrectly by the firms accountant as $1,840. The cheque was actually written for $ 1,480 and reflected as such on the bank statement.A NSF cheque for $2,415 from a client, Ann Hardy, was returned with the statement.(i) Prepare the bank reconciliation statement as at December 31, 2021.Prepare the entries in journal form necessary to adjust the accounts.Determine the cash balance as at December 31, 2021. Which of the following are ways that organizational structure determines your role as a project manager? Select all that apply.Organizational structure determines your career growth Organizational structure determines where you fit in Organizational structure determines how frequently to communicate Organizational structure determines who you should communicate with Read the following case and answer the questions that follow about rating errors in performance appraisal.At the end of every semester at Columbus State University, students fill out performance measures to evaluate the quality of instruction in each of their courses. Suppose that Professor Young, a white female, knew that students' evaluations were often subject to several errors in rating bias, so she decided to investigate to see if any of these errors were occurring on her own evaluations. In addition to completing an evaluation of Professor Young's performance, students were asked to fill out a brief demographic survey. Then, she conducted several random interviews with students to find out more information on why they rated her as they did. After gathering all of her data, Professor Young analyzed the information to see if she could identify any trends. What she found was quite interesting. First, after reviewing the evaluations, she discovered that students who thought her tests were difficult tended to rate her negatively in all other areas. After she interviewed some of the students, she also discovered that some students rated all their professors very high, very low, or right down the middle. These students were consistently using only one part of the rating scale, regardless of a professor's effectiveness or lack of effectiveness. Other students tended to compare Professor Young to other instructors. One student even told Professor Young in the interview, "It's not like you are a bad professor, it's just that I had Dr. Ink this quarter and he is great!" The interviews also provided Professor Young with information on why some students rated her very highly. For example, one student told her that he was planning on taking another course from her and thought if he gave her a high evaluation, she would be more lenient in grading his work, even though he knew the evaluations were anonymous. Finally, in analyzing the demographic data, Professor Young saw that the white females were giving her higher ratings than other students. Professor Young had certainly learned quite a bit in analyzing her performance evaluations! She decided that next semester she would discuss rating errors with her class before having them evaluate her instruction.Questions (Pick best option in brackets): describe and give an example of Temperate deciduous forest It can most reasonably be inferred from the use of theword "fancied" in line 85 that Sokol:F.was delusional and near death.G.was pleased to be able to stand one last time.H.had been admired, earlier in life, by many.J.enjoyed a burst of youthful energy. Adjusting Entries for Accrued Salaries Garcia Realty Co. pays weekly salaries of $29,000 on Friday for a five-day workweek ending ending on that day. a. Journalize the nary adjusting entry at the end of the accounting period assuming that the period ends on Wednesday. Salaries Expense 23,200 X Salaries Payable 5,800 X Feedback Check My Work Learning. b. Journalize the necessary adjusting entry at the end of the accounting period assuming that the period ends on Thursday. Salaries Expense Salaries Payable Feedback Check My Work Some types of services used in earning revenues are paid for after the service has been performed. In such cases, the expense is increased. When does the accounting period and? what color on a slide actually reduces someones ability to think clearly? decompose into partial fractions:[tex]\frac{x^5-2x^4+x^3+x+5}{x^3-2x^2+x-2} \\ \\ \\ \frac{4x^2-14x+2}{4x^2-1}[/tex] A nurse is obtaining the genetic history of a pregnant client by eliciting historical information about her family members. which question is most appropriate for the nurse to ask? Which of the following is a good condition for bottom-up estimating?A. Strategic decision makingB. Internal, small projectC. Fixed price contractD. High uncertaintyE. Both C and D are good conditions for bottom-up estimating Find z1 - z in polar form. z1 = 2cis(50), z2= 5cis(300) Find the largest value of x that satisfies: logo () - logs (+ 5) = 5 = Which of the following CR cassette sizes will provide the greatest recorded detail?a. 8 x 10 inchb. 10 x 12 inchc. 14 x 17 inchd. All sizes would have equal recorded detail. question 9.9 which band combination(s) is(are) best for separating urban areas from other forms of land cover (i.e., vegetation, trees, etc.)? why? a) Use the van der Waals equation of state to calculate the pressure of 3.20 mol of hcl at 499 K in a 4.90-L vessel.b) Use the ideal gas equation to calculate the pressure under the same conditions. Select the correct answer. Circle has radius of 24 units. Arc located on the circle has a central angle of . What is the area of the associated sector, in square units? A. B. C. D. In 2010, the binder industry was perfectly competitive. The market demand curve for binders was: QD=3172-42P where P was the price of a binder (in dollars per binder) and Qp was the quantity of binders demanded per month. The market supply curve for binders was: Qs 100+150P where Qs was the quantity of binders supplied per month. a) Solve for the short run equilibrium price and output of binders (show your work).b) If a representative binder seller has long-run total cost given by: TC= 1 + 2q +0.0625q where q is the monthly output of the individual binder seller, what is the long-run, profit maximizing level of output of this firm? Explain your answer. Hint: In the long run, firms produce where ATC is at a minimum. c) What is the long-run equilibrium price charged in the market for binders? d) What is the long-run equilibrium output of the binder industry?(Hint: Assume that the firms will meet the demand at the long run price.) e) Approximately how many binder sellers will there be in the long-run equilibrium (round your answer to the nearest whole number)? : Which type of lymphocyte produces and secretes antibodies?1) Memory B-lymphocyte 2) Memory T-lymphocyte 3) Natural killer cell 4) Plasma cell 5) Cytotoxic T-lymphocyte Which factor affects the size and shape of the barrier island? a. Littoral drift b. Human alterations c. Ocean waves d. Erosion e. All of the above are correct Determine the Taylor series for the function f(x) around the point Xo by calculating the derivatives of the function at xo. 4.. f(x)=- x = 0; 4 4+x' Solucin: (-1)*(*)*, |x|