Please help! Homework!!

Please Help! Homework!!

Answers

Answer 1

1. The expression that represents the area of the shaded region is π (R² - r²). 2. Yes, the expression is a polynomial with degree 2. 3. The difference is given by the (R - r). It is a polynomial with degree 1.

What is a polynomial?

When variables and coefficients are joined using addition, subtraction, and multiplication operations, the result is a polynomial. The coefficients of a polynomial can be any real number, and the variables can only have non-negative integer exponents. Polynomials can have one or more terms, and they can be categorised according to the degree of the variable in the expression with the largest power. For instance, the aforementioned polynomial is of fourth degree since the maximum power of the variable x is 4.

The area of the circle is given as:

A = πr²

For the outer circle the area is:

A1 = πR²

The area of inner circle is:

A2 = πr²

Now, the area of the shaded portion is:

A = A1 - A2

A = πR² - πr²

A = π (R² - r²)

Hence, the expression that represents the area of the shaded region is π (R² - r²).

2. Yes, the expression is a polynomial with degree 2.

3. The difference between the two radii is given by the expression R - r. It is a polynomial with degree 1.

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Related Questions

Determine the numbers of solutions for 4x + 8 = 12x

Answers

Answer:

x= 1

Step-by-step explanation:

Step 1- Subtract 4x to both sides(Move the x to one side).

4x+8= 12x

-4x      -4x

8= 8x

Step 2- Divide both sides by 8(Isolate the variable).

8 = 8x

8     8

x= 1

how much volume in one grain of rice

Answers

A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

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sin² x + cos²x = 1

Which Trigonometric Identity is given above?

- Pythagorean Identity

- Lagrange's Trigonometric Identity

- Angle Sum and Difference Identity

- Tangent Identity

Answers

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

What is Pythagorean Identity?

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Suppose a population consists of 850,000 people which of the following numbers of members of the population being surveyed could result in a parameter but not a sample statistic

Answers

The number of members of the population that could result in a parameter but not a statistic is given as follows:

A. 850

What is a parameter and what is a statistic?

A parameter is used to describe the whole population, while a statistic is used to describe the sample.

For this problem, we have that:

The population size is of 850,000.The sample size is of 850.

Meaning that 850,000 describes the population, and thus the correct option is option C.

Missing Information

The options are given as follows:

A. 850

B. Both 850 and 850,000

C. 850,000

D. Neither 850 nor 850,000

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if i roll standard -sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number?

Answers

The probability that the result is a composite number is calculated as 0.99 using the given data.

What in mathematics is a probability?

In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty).

Let,

A -  the result is a composite number

A' - the result is not a composite number

Number of possible numbers appearing on dice = 6⁵ = 7776

A' = {11111, 21111, 12111, 11211,  11121, 11112}

Total number of results that are not composite numbers = 6

Total number of results that are composite numbers = 7776-6

                                                                                        = 7770

Probability that the result is a composite number = 7770/7776

                                                                                  = 0.99

Therefore, the probability that the result is a composite number is calculated as 0.99.

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prove that if a symmetric matrix is invertible, then its inverse is symmetric also.

Answers

Let A be a symmetric matrix that is invertible. This means that there exists a matrix B such that AB = BA = I, where I is the identity matrix. We want to show that B is also symmetric, that is, \(B = B^{T}\)

To prove this, we can use the definition of matrix inversion. We know that AB = I, so we can take the transpose of both sides:

\(AB^{T} = I^{T}\)

Using the transpose rules, we can rewrite this as:

\(B^{T} * A^{T}\) = I

Now, we can multiply both sides of this equation by A:

\(B^{T} * A^{T}\)* A = A

Since A is invertible, we can multiply both sides by A⁻¹ to get:

\(B^{T}\) = A⁻¹

Therefore, we have shown that the inverse of a symmetric matrix A, which we denote as A⁻¹, is also symmetric, since A⁻¹ = \(B^{T}\), which is the transpose of the matrix B.

Hence, we have proved that if a symmetric matrix is invertible, then its inverse is symmetric as well.

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nine eighteenths plus one third

Answers

Answer:

5/6

Step-by-step explanation:

Step 1: Rewrite 9/18

9/18 = 1/2

Step 2: Rewrite problem

1/2 + 1/3

Step 3: Find GCD (Greatest common denominator)

6

Step 4: Rewrite fractions

3/6 + 2/6

Step 5: Add

5/6

Step-by-step explanation: That's your answer 5/6

Hope this helps lol!

vă rog am nevoie de ajutor la ex 6 dacă il faceți dau corana ex este de clasa a 6

v rog am nevoie de ajutor la ex 6 dac il facei dau corana ex este de clasa a 6

Answers

Answer:

sry but i can't help you with it bcz i don't understand spanish can u write it in clear english

Sry

Sarah tosses a coin and spins a spinner

Answers

Answer:

Good for her ig

Step-by-step explanation:

Which equations are true equations? Select all correct answers. Responses 15052=30−42−12 150 over 5 squared equals 30 minus 4 squared minus 12 48 ÷ 8 + 2³ = 5 + 3² 48 ÷ 8 + 2³ = 5 + 3² 92−72=20÷(7−2) 9 squared minus 7 squared equals 20 divided by open parenthesis 7 minus 2 close parenthesis 8⋅72−12=22−2⋅3

Answers

All the correct answers of the equations using order of operations are;

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

How to use order of operations?

The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.

Using the PEMDAS rule, the solutions would be as follows:

A. 9² − 7² = 20 ÷ (7 − 2)

81 - 49 = 20 ÷ 5

32 = 4

Thus, this is not true.

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

56 ÷ 2 − 12 = 22 - 6

28 - 12 = 16

16 = 16

Thus, this is true.

C. 48 ÷ 8 + 2³ = 5 + 3²

6 + 2³ = 5 + 9

6 + 8 = 14

14 = 14

Thus, this is true.

D. 150 ÷ 5² = 30 − 4² − 12

150 ÷ 25 = 30 − 16 − 12

6 = 30 - 28

6 = 2

Thus, this is not true.

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Complete question is;

Which equations are true equations? Select all correct answers.

A. 9² − 7² = 20 ÷ (7 − 2)

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

D. 150 ÷ 5² = 30 − 4² − 12

Could someone please help. please help asap I need it. see picture...
find the​ x- and​ y-intercepts
and write The equation in standard form with integer coefficients

Could someone please help. please help asap I need it. see picture...find the x- and y-interceptsand

Answers

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

How to find the x-intercept, y-intercept and equation in standard form?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

A, B and C are constant

Using slope intercept form,

y = mx + b

where

m = slopeb = y-intercept

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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A campary hat \( \$ 100,000 \) in cash and annual sales of \( \$ 720,000 \) Using a 360 day year, how many days' sales in cash is the comigany curfenty holdeg? 50 days 100 days 25 days 75 days

Answers

The company currently holds approximately 50 days' sales in cash for the comigany curfenty holdeg

To determine the number of days' sales in cash that the company currently holds, we need to divide the cash amount by the daily sales amount. With annual sales of $720,000 and a 360-day year, the company holds approximately 100 days' sales in cash.

To calculate the number of days' sales in cash, we divide the cash amount by the daily sales amount.

Given that the company has $100,000 in cash and annual sales of $720,000, we can determine the daily sales amount by dividing the annual sales by the number of days in a year. Since the year is assumed to have 360 days, the daily sales amount is $720,000 / 360 = $2,000.

Next, we divide the cash amount by the daily sales amount to find the number of days' sales in cash:

$100,000 / $2,000 = 50.

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4 red bricks have a mean weight of 5 kg.

5 blue bricks have a mean weight of 9 kg.

1 green brick has a weight of 6 kg.

Donna says,

"The mean weight of the 10 bricks is less than 7 kg. "

Is Donna correct?

You must show how you get your answer.

Answers

Donna is not correct, as the mean is of 7.1 kg, which is greater than 7 kg.

How to obtain the mean of a data-set?

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The sum of the data-set in this problem is given as follows:

4 x 5 + 5 x 9 + 1 x 6 = 71 kg.

The number of observations is given as follows:

10.

Hence the mean is given as follows:

71/10 = 7.1 kg > 7 kg.

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Since the cost of cheese went up, the cost of small pizza went from $5.45 to $6.50. calculate the percent increase.

I will give Brainliest is, but I also will report you if you don't give a reasonable answer.

Answers

Around 19% increase.

Answer:

19.3%

Step-by-step explanation:

6.50-5.45 = 1.05

1.05/5.45 = 0.192605505

* 100 = 19.27% = 19.3% increase

ONE SHARE OF BEEPCO PREFERRED STOCK PAYS AN

ANNUAL DIVIDEND OF $1. 20. TODAY BEEPCO CLOSED AT

$34. 50 WITH A NET CHANGE OF -$0. 50. WHAT WAS THE

STOCK'S YIELD AT YESTERDAY'S CLOSING PRICE?

O

Answers

The yield of stock at yesterday's closing price is 3.43%.

What is Annual Dividend?

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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Can some body please help me whit this question?
8 - (7/10)t = 6 - (1/5)t Thx

Answers

Answer:

8-(7/10)t=6-(1/5)t - Get Easy Solution

Simple and best practice solution for 8-(7/10)t= 6-(1/5)t equation. Check how easy it is, and learn it for the future. Our solution is simple,

Step-by-step explanation:

make me as brain liest

5. Solve for x.
10x + 44
8x - 23
what’s the equation to solve this?

Answers

Answer:

equation is 10x+44= 8x-23

X= -10.5

Step-by-step explanation:

Answer:

for the first one is 4.4 and the second one is 2.875

Step-by-step explanation:

when your solving the first one you got to get x by itself so u divide 10/10 then that cancels and you got x once you do that to one side you gotta do it to the other so you do 44/10 then you get your value of x

which expression represents the difference of (5x-3y) and (8x+8y)?

Answers

Given:

The expressions are:

\((5x-3y)\) and \((8x+8y)\)

To find:

The difference of \((5x-3y)\) and \((8x+8y)\).

Solution:

Difference of \((5x-3y)\) and \((8x+8y)\) is written as:

\(Difference=(5x-3y)-(8x+8y)\)

On simplification, we get

\(Difference=5x-3y-8x-8y\)

\(Difference=(5x-8x)+(-3y-8y)\)

\(Difference=-3x-11y\)

Therefore, the difference of \((5x-3y)\) and \((8x+8y)\) is \(-3x-11y\).

The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. Which statement is true about the amount Isaiah spent?

· He spent 6p dollars on gasoline.

· He spent n + p dollars in all.

· He bought 15 gallons of gasoline.

· He bought 6 dollars worth of snacks.​

Answers

Answer:

He bought 15 gallons of gasoline

Step-by-step explanation:

Where, "n" represents the amount in dollars each gallon costs, 15n would represent Isaiah spending 15 times that initial amount of "n." Considering the fact that n represents the cost of a single gallon, you can conclude that he had bought 15 gallons of gasoline.

He bought 15 gallons of gasoline.

We have given that,

The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought.

Where n represents the amount in dollars each gallon costs, 15n would represent Isaiah spending 15 times that initial amount of n.

What is the initial amount?

 The first value in your equation is the initial amount. This is the number you would get if you plugged x=0 into your equation. The number that is NOT raised to the x power in your equation is your initial amount.

What is considering the fact that n represents the cost of a single gallon, you can conclude that he had bought 15 gallons of gasoline.

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What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14, ... a) -0.1 b) -0.1, 0.1 c) -0.1, 0.2 d) 0.1

Answers

The common difference between successive terms in this sequence is -0.1.

The common difference between successive terms in a sequence is the constant value that is added or subtracted to each term to obtain the next term in the sequence. To find the common difference in the given sequence, we need to subtract each term from the term that follows it.
Subtract the first term (0.36) from the second term (0.26): 0.26 - 0.36 = -0.1
Subtract the second term (0.26) from the third term (0.16): 0.16 - 0.26 = -0.1
Subtract the third term (0.16) from the fourth term (0.06): 0.06 - 0.16 = -0.1
Based on the calculations, the common difference between successive terms in this sequence is -0.1. Therefore, the correct answer is a) -0.1.

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Side AB is opposite which angle in triangle ABC?

Side AB is opposite which angle in triangle ABC?

Answers

Answer:

Angle C is the opposite angle of AB

Side AB is opposite to angle ∠ACB in triangle ABC

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given rectangle, AC is the diagonal

ABC and ADC are two right triangles.

We have to find the angle which is opposite to the side AB.

The angle opposite to side AB is angle C.

In the option we have angle ∠ACB.

Hence, Side AB is opposite to angle ∠ACB in triangle ABC

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Real GDP in 2018 was 500 million and in 2019 it was 520 million. What is the real growth rate?

Answers

Expenditure is divided by total GDP at market price multiplied by 100.

How do you determine the rate of real GDP growth?

Real GDP is computed by subtracting the most recent year’s real GDP from the previous year’s real GDP. The difference is then divided by the previous year’s actual GDP. Real GDP may also be calculated if nominal GDP and the current inflation rate are known.

GDP at market value is the total of all expenditures. The GDP market price percentage rate is computed by dividing spending by total GDP at market price and multiplying by 100. GDP may be calculated in three ways: the value added technique, the income approach (how much money is made as revenue from resources utilized to manufacture things), and the expenditures approach (how much is spent on stuff).

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The amunt of money that college students spend on rent each month is usually between $300 and $600. However, there are a few students who spend $1,300. What measure of spread would be most appropriate to measure the amount of money that college student spend on rent per month? Explain in detail why or why not one of the below measures would be used.
A. Median
B. Range
C. Standard Deviation
D. Inquartile Range

Answers

The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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If you are standing 75 ft away from a tree and looking up at the top at a 40° angle, what is the height of the tree?

Answers

Answer:

Step-by-step explanation:

If you are standing 75 ft away from a tree and looking up at the top at a 40 angle, what is the height

Solve for x. Round to the nearest tenth, if necessary. PLEASE HELP!

Solve for x. Round to the nearest tenth, if necessary. PLEASE HELP!

Answers

Answer:

15.6

Step-by-step explanation:

SOH -CHA-TOA

Tan = opp / adj

Tan(60) = 27/x

x = 27/tan(60)

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{MN}{LM}\) = \(\frac{9.3}{x}\) ( multiply both sides by x )

x × tan60° = 9.3 ( divide both sides by tan60° )

x = \(\frac{9.3}{tan60}\) ≈ 5.4 ( to the nearest tenth )

1. What is the perimeter of the figure below. Simplify.
4x^3-5x 2x^3+6x 6x^3+x

1. What is the perimeter of the figure below. Simplify.4x^3-5x 2x^3+6x 6x^3+x

Answers

Answer:

\(12x^3+2x\)

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of its sides.

The sides in the triangle shown have lengths \(2x^3+6x\), \(4x^3-5x\), and \(6x^3+x\) in no specific order.

Since its perimeter is given by the sum of its sides, the perimeter is equal to:

\(2x^3+6x+4x^3-5x+6x^3+x\)

Combine like terms:

\(\boxed{12x^3+2x}\)

Solve the following equation to find the value of x
\(45 + x = 50\)

Answers

Answer:

x=5

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

Answer:

45 plus 5 equal 50

Step-by-step explanation:

Write an equation for the line parallel to the given line that contains C.
5
C(1,7); y=x+4

Answers

The equation of the line parallel to the given line that contains C is obtained as y = x + 6.

What is termed as the parallel lines?Parallel lines are two or more lines which lie within the same plane but never intersect. They are equal in distance and have the same slope. Parallel lines have been straight lines which never meet, no matter how far they are extended. Numerous pairs of angles are formed when two parallel lines have been intersected by another line known as a transversal.

For the given question;

The equation of the line is given as;

y = x + 4

The standard form of the equation of line in slope intercept form is;

y = m x + c

where, m is the slope and c is the y intercept.

On comparing;

m₁ = 1

Now, the other lien is parallel to the given line.

Thus, slopes of both lines will be equal.

m₁ = m₂ = 1

The passing points of the line are;

(x₁, y₁) = C(1, 7)

Now, the equation of lien will be;

y - y₁ = m₂(x - x₁)

Put the values;

y - 7 = 1(x - 1)

Simplifying.

y = x + 6

Thus, the equation of the line parallel to the given line that contains C is obtained as y = x + 6.

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A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?

Answers

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Find the area of hexagon DEFGHI.

Find the area of hexagon DEFGHI.

Answers

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Find the area of hexagon DEFGHI.
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what does it mean to "buy on margin?" What are the advantages? What are the disadvantages 1. Where and how is energy created in the sun's interior? Starting fromthe center, what are the interior layers that this energy travels through?HELPPP ASAP!!!!!! How do i use Eastern Theater in a sentence which means "The part of the war fought in the Eastern United States including Virginia, West Virginia, Maryland, and Pennsylvania. " What led to Henry Ford's success as an entrepreneur his personal wealth his innovative production methods? A small box holds 60 books. A large box holds 135 percent as many as thaan a a small box how many books does the large box hold Find the nth term for this sequence 10, 7, 4, 1. 1. Brodrick Company expects to produce 20,000 units for the year ending December 31. A flexible budget for 20,000 units of production reflects sales of $400,000; variable costs of $80,000; and fixed costs of $150,000. If the company instead expects to produce and sell 26,000 units for the year, calculate the expected level of income from operations.2. Refer to information QS 1. Assume that actual sales for the year are $480,000, actual variable costs for the year are $112,000, and actual fixed costs for the year are $145,000 Prepare a flexible budget performance report for the year. Choose a song of worship (a hymn or other religious-themed piece of music) that is in English. Then, choose another religious song that is in a different language. Listen to these and compare how they make you feel.Assignment Details:Submit a 50-100 word write up of what you listened to, how if made you feel, and why its important to have songs of worship in all languages.This is a music question 5. What did the Articles of Confederation create?A. 13 states who were freeB. Loose alliance of 13 states C. 13 states who were united D. 13 states that fought British PLEASE HELP When water freezes, the water molecules arrange in a such a way that allow this material to become _____________ liquid water. Has the widespread use of electronic communication technology (internet, mobile phones, social media, etc.) significantly reduced cultural lag? Elaborate your answer with examples and logical arguments If the surface area of a cylinder is given by SA =2nr^2+2nrh, calculate the height if the surface area is 30n and the radius is 2. Read the following poem carefully before you choose your answer.Poca favilla gran fiamma seconda. Dante1Ogni altra cosa, ogni pensier va fore,E sol ivi con voi rimansi amore.Petrarca2I loved you first: but afterwards your loveOutsoaring mine, sang such a loftier songAs drowned the friendly cooings of my dove.Which owes the other most? my love was long,(5) And yours one moment seemed to wax3 more strong;I loved and guessed at you, you construed4 meAnd loved me for what might or might not beNay, weights and measures do us both a wrong.For verily5 love knows not 'mine' or 'thine;'(10) With separate 'I' and 'thou' free love has done,For one is both and both are one in love:Rich love knows nought of 'thine that is not mine;'Both have the strength and both the length thereof,Both of us, of the love which makes us one.1 A small spark fosters a great flame.2 Every other thing, every thought, goes off, and love alone remains there with you.3 grow4 interpreted5 trulyThe function of line 11 ("one is both...") is primarily to reinforceGroup of answer choicesthe assertion that love is universal to allthe claim that lovers should share ambitionsthe idea that love should not be measuredthe notion that all love can be mystifyingthe view that individuality is valuable in love how many mols of Ti is 3.15 * 10^23 atoms of Titanium much of the exploited labor in developing nations, especially in the nonindustrial sector, is performed by women. thus,there is a link between the wealth of industrialized nations and Given an interest rate of 10 percent per year, what is the value at date t=9 of a perpetual stream of $1,900 payments with the first payment at date t=15 ? Multiple Choice $19,100.00 $11,561,56 $11,797.51 $10,725,00 $12.033.46 red-green color blindness is an x-linked recessive trait in humans. two people with normal color vision have a color-blind son. what are the genotypes of the parents? group of answer choices A discrete-time LTI filter whose frequency response function H(N) satisfies |H(N)| = 1 for all NER is called an all-pass filter. a) Let No R and define v[n] = eion for all n E Z. Let the signal y be the response of an all-pass filter to the input signal v. Determine |y[n]| for all n Z, showing your workings. b) Let N be a positive integer. Show that the N-th order system y[n + N] = v[n] is an all-pass filter. c) Show that the first order system given by y[n + 1] = v[n + 1] + v[n] is not an all-pass filter by calculating its frequency response function H(N). d) Consider the system of part c) and the input signal v given by v[n] = cos(non) for all n Z. Use part c) to find a value of No E R with 0 No < 2 such that the response to the input signal v is the zero signal. Show your workings. When jumping, a flea accelerates at an astounding 1500 m/s2 , but over only the very short distance of 0.44 mm . if a flea jumps straight up, and if air resistance is neglected (a rather poor approximation in this situation), how high does the flea go? Determine the area of the composite shape.