Can someone please help me with this question?

Can Someone Please Help Me With This Question?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The area (A) of circle A is calculated using

A = πr² ( with r = 18 ÷ 2 = 9 )

A = π × 9² = 3.14 × 81 = 254.34 in² thus

A of circle B = 254.34 in² ÷ 5 = 50.868 in² → B


Related Questions

s the following sentence true or false? If no desk or table is available, you should crouch against an outside wall.


Is the following sentence true or false? If you are outdoors during an earthquake, you should move under a tree or building

(ps chose mathematics cus I'm to dumb to figure out what subject to chose qwp)

Answers

Answer:

1st- what scenario are talking about?

2nd- false, becuase if you hide under any objects there is the risk of it falling over you and hurting you

the instructions on the bag of concrete mix say to add 2 gallons of water to each 8 pound bag of concreate mix. how much concreate mix is used per gallon of water?
A. 2 pounds
B. 4 pounds
C. 6 pounds
D. 10 pounds
E. 16 pounds

Answers

4 pounds. if you divide the number of pounds by gallons you get the amount of pounds per gallon. 8 divided by 2 is 4.
The answer is B, 4 pounds.

You are throwing a party and are trying to decide how many women (X2) to invite and how many men (X1) to invite. Below is the graph of constraints (Max problem, all constraints ≤). Explain to your roommate based on your knowledge of linear programming and using words, why you cannot invite 30 men and 40 women.

Group of answer choices

d. You do not have enough chips and beer for 70 people

c. All is good as long as everyone wears a face-mask and practices social distancing.

b. You need more music.

a. You have plenty of everything, invite more people.

Answers

According to the linear programming, the correct explanation for why you cannot invite 30 men and 40 women is that you do not have enough chips and beer for 70 people, as indicated by the given constraints.

The correct answer is (d) You do not have enough chips and beer for 70 people.

In linear programming, constraints are used to represent limitations or restrictions on the decision variables. These constraints define the feasible region, which is the set of all possible solutions that satisfy the given constraints. The feasible region is typically represented graphically as a feasible region or feasible area.

Based on the graph of constraints, there are limitations on the number of men and women that can be invited to the party. Let's say the graph shows that you cannot invite more than a certain number of men and women. In this case, the graph indicates that the total number of people (men and women) cannot exceed a certain limit.

If the graph shows that the maximum number of people allowed is less than or equal to 70, inviting 30 men and 40 women would result in a total of 70 people, which would exceed the maximum limit set by the constraints. This means that inviting 30 men and 40 women would be infeasible and not allowed by the given constraints.

The reason why inviting 30 men and 40 women is not possible can be explained in terms of limited resources or capacity. For example, the constraint may represent the capacity of the venue, indicating that it can only accommodate a certain number of people. Additionally, the constraint may indicate a limited supply of resources such as chips and beer, suggesting that there is not enough quantity available to serve 70 people.

Therefore, the correct explanation for why you cannot invite 30 men and 40 women is that you do not have enough chips and beer for 70 people, as indicated by the given constraints.

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48 is divided by 3 times the difference of 15 and 11

Answers

Answer:

The difference between 15 and 11 is 4.

So, 3 times the difference of 15 and 11 is 3 x 4 = 12.

Therefore, 48 divided by 12 is 4.

So the answer is 4.

The answer is:

⇨ 48/3(15 - 11)

Work/explanation:

The difference of 15 and 11 means you subtract 15 and 11.

You get:

15 - 11

which is 4.

Now, 3 times that is: 3(15 - 11).

which is 3 times 4, which is 12.

Finally, we divide 48 by all this.

[tex]\bf{\dfrac{48}{3(15-11)}}[/tex]

which is 4.

Hence, the answer is 48/3(15 - 11).

if you evaluate you get 4.

Help me out please an thank you

Answers

1 and 5

3 and 7

4 and 8

Which expression can be used to calculate the expression 56 ÷516
for 100 points and brainliest

Answers

Answer:

0.10852713178 would be the answer

Step-by-step explanation:

a gun has a muzzle speed of 90 meters per second. what angle of elevation should be used to hit an object 200 meters away? neglect air resistance and use g=9.8m/sec2 as the acceleration of gravity.

Answers

A gun has a muzzle velocity of 90 meters per second. If an object is 200 meters away, what angle of elevation should be used to hit it? We must first understand that this is a problem about projectile motion. When an object is launched, it follows a trajectory.

It is affected by gravity, air resistance, and other factors. A projectile's motion can be divided into two components: horizontal and vertical. The horizontal component of a projectile's motion is constant. The vertical component is influenced by gravity.Let's assume the angle of elevation to be ө, and the velocity of the gun is v₀.

The horizontal velocity of the projectile is v = v₀ cos(ө), and the vertical velocity is u = v₀ sin(ө) - gt, where g is acceleration due to gravity and t is time of flight. The formula for time of flight is t = 2u/g. The range R can be calculated as R = v t = v₀ cos(ө) t. The formula for maximum height is h = u²/2g. Therefore, the angle of elevation needed to hit an object 200 meters away is 30.2 degrees.

When an object is fired from a gun, it is subject to projectile motion. There are two components to the projectile's motion: horizontal and vertical. The horizontal component is constant, whereas the vertical component is affected by gravity. Let's consider a gun with a muzzle velocity of 90 meters per second. Assume that an object is located 200 meters away. To hit the object, the angle of elevation must be determined.Assume the angle of elevation is ө and the velocity of the gun is v₀. The horizontal velocity of the projectile is v = v₀ cos(ө), while the vertical velocity is u = v₀ sin(ө) - gt. Here, g is acceleration due to gravity, and t is the time of flight. The formula for time of flight is t = 2u/g.The range R can be calculated as R = v t = v₀ cos(ө) t. The formula for maximum height is h = u²/2g. Therefore, the angle of elevation required to hit an object 200 meters away is 30.2 degrees.

A gun with a muzzle velocity of 90 meters per second is used to hit an object 200 meters away. This is a problem about projectile motion. When an object is launched, it follows a trajectory. The projectile motion can be split into two components: horizontal and vertical. The horizontal component of a projectile's motion is constant, whereas the vertical component is influenced by gravity. To hit an object 200 meters away, the angle of elevation must be determined. It has been determined that the angle of elevation required to hit an object 200 meters away is 30.2 degrees.

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What is the square root of 4? ​

Answers

2 Is the square root of 4 because two times two is four

Answer:

The square root of 4 is 2

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!

Answers

Answer:

1. -1/2x+ 11.5

2. -1/3x-8.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour? PLEASE HELP!!

Answers

Answer:

6.75

Step-by-step explanation:

take 27 and divide by hours to get miles per hour rate

27/2= 13.5 mph

take this new rate and multiply by time. So

13.5m/h* (0.5 h)= 6.75 miles

The hours cancel and you are left with your answer in miles

BizCafe Simulation: Approximately how many medium cups of coffee will 30 lb. of coffee beans make?

Answers

Dividing the total ounces of brewed coffee by the size of a medium cup (8 ounces), we can estimate the number of medium cups of coffee:

8,160 ounces (brewed coffee) / 8 ounces (medium cup size) ≈ 1,020 medium cups of coffee.

To determine approximately how many medium cups of coffee 30 lb. of coffee beans will make, we need additional information about the brewing process, the coffee-to-water ratio, and the size of a medium cup of coffee in ounces or milliliters. Without these specific details, it is difficult to provide an accurate estimate.

However, as a general guideline, the coffee-to-water ratio typically used for brewing coffee is around 1:15 to 1:18. This means that for every gram or ounce of coffee, you would use 15 to 18 times the amount of water. Assuming a coffee-to-water ratio of 1:17, we can make an estimate.

Let's assume that a medium cup of coffee is approximately 8 ounces (236.6 milliliters). With a coffee-to-water ratio of 1:17, we would use 1 part coffee to 17 parts water. So, for every ounce of coffee beans, we would need approximately 17 ounces of water.

Now, converting the 30 lb. of coffee beans to ounces (1 lb. = 16 ounces), we have:

30 lb. * 16 ounces/lb. = 480 ounces of coffee beans.

Considering the coffee-to-water ratio and assuming 17 ounces of water for every ounce of coffee beans, we can estimate the total amount of brewed coffee:

480 ounces (coffee beans) * 17 (coffee-to-water ratio) = 8,160 ounces of brewed coffee.

Finally, dividing the total ounces of brewed coffee by the size of a medium cup (8 ounces), we can estimate the number of medium cups of coffee:

8,160 ounces (brewed coffee) / 8 ounces (medium cup size) ≈ 1,020 medium cups of coffee.

Please note that this is a rough estimate and can vary based on specific factors such as brewing method, coffee strength preferences, and cup sizes.

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I need a second degree equation that the solution is 7.10

Answers

This equation is a second degree equation that has a solution of 7.

To find a second degree equation with a solution of 7, we can use the fact that the solutions of a quadratic equation are given by the quadratic formula: x = (-b ± √(b^2 - 4ac))/(2a).
Since we want the solution to be 7, we can set x = 7 in the quadratic formula and solve for the other variables.
First, let's set x = 7 and simplify the equation: 7 = (-b ± √(b^2 - 4ac))/(2a).
Next, let's multiply both sides of the equation by 2a to eliminate the fraction: 14a = -b ± √(b^2 - 4ac).
Now, let's square both sides of the equation to get rid of the square root: (14a)^2 = (-b ± √(b^2 - 4ac))^2.
Expanding both sides of the equation gives: 196a^2 = b^2 ± 2b√(b^2 - 4ac) + (b^2 - 4ac).
Simplifying further, we have: 196a^2 = 2b^2 ± 2b√(b^2 - 4ac) - 4ac.
Now, we can rearrange the equation to have all terms on one side: 2b^2 ± 2b√(b^2 - 4ac) + 4ac - 196a^2 = 0.
In summary, the second degree equation that has a solution of 7 is 2b^2 ± 2b√(b^2 - 4ac) + 4ac - 196a^2 = 0.

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A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jevonte grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 45 ft.) Round to the nearest tenth of a foot.

Answers

After Jevonte pulls the ladder 3 feet farther from the house, the ladder will reach approximately 10.15 feet up the Side of the house.

We can solve this problem using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the side of the house and the ground. The ladder acts as the hypotenuse, and we know its length is 52 feet. The height of the ladder on the house is 48 feet.

Using the Pythagorean theorem, we can calculate the distance of the ladder from the house after it is pulled 3 feet farther. Let's denote this distance as x.

We have:

(48 + 3)^2 + x^2 = 52^2

Simplifying:

51^2 + x^2 = 2704

2601 + x^2 = 2704

x^2 = 2704 - 2601

x^2 = 103

x = √103

Rounding to the nearest tenth of a foot, we have x ≈ 10.15 feet.

Therefore, after Jevonte pulls the ladder 3 feet farther from the house, the ladder will reach approximately 10.15 feet up the side of the house.

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identify the range of the function shown in the graph.

Answers

Answer:

B. 0 ≤ y ≤ 5

Step-by-step explanation:

Range is the set of y-values outputted by function f(x).

We see that our y-values span from 0 to 5. Since both are closed dot, both are included in the range:

[0, 5] or 0 ≤ y ≤ 5

A person is starting a retirement fund. The person will add to the fund on a yearly basis. Each year, they will increase the amount added to the fund the previous year by 10%. In the first year, the person will add $2000. Which expression represents the total amount the person will add in the first 5 years?

A. 2000(1−1.1)^5/1−1.1

B. 2000(1−1.1^5)/1−1.1

C. 2000(1−.1)^5/.1

D. 2000(.1)^5/.1

Answers

The correct Retirement Fund expression is B. [tex]2000(1−1.1^5)/1−1.1.[/tex]

The expression that represents the total amount the person will add in the first 5 years is:

B. [tex]2000(1−1.1^5)/1−1.1[/tex]

Let's break down the expression to understand why it is the correct choice.

The person adds $2000 in the first year. Each subsequent year, they increase the amount added by 10% compared to the previous year. This means that in the second year, they will add 10% more than $2000, in the third year 10% more than what they added in the second year, and so on.

To calculate the total amount added in the first 5 years, we can use the formula for the sum of a geometric series:

S = a * [tex](1 - r^n)[/tex] / (1 - r)

where:

S is the sum of the series,

a is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the first term a is $2000, the common ratio r is 1.1 (since each year's amount is 10% more than the previous year), and the number of terms n is 5 (since we want to calculate the total amount for the first 5 years).

Plugging these values into the formula, we get:

S = [tex]2000 * (1 - 1.1^5) / (1 - 1.1)[/tex]

Simplifying further, we get:

S = 2000 * (1 - 1.61051...) / (-0.1)

The approximate value of 1.61051... is obtained by evaluating 1.1^5.

This expression is equivalent to the expression in option B, [tex]2000(1−1.1^5)/1−1.1.[/tex]

Therefore, the correct Retirement Fund expression is B. [tex]2000(1−1.1^5)/1−1.1.[/tex]

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A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat?

Answers

3442 people
49442-46000 = 3442

8 divided by 5/6 i need help

Answers

Answer:

9.6

Step-by-step explanation:

Nima can mow 18 yards in 6 days. Which strategy can be used to determine how many yards Nima can mow in 20
days?
Add the difference in the days to the number of yards.
O Subtract the difference in the days from the number of yards.
O Find the number of yards per day by division, and then multiply that quotient by the number of days.
O Find the number of yards per day by division, and then divide that quotient by the number of days.

Answers

The strategy that can be used to determine how many yards Nima can mow in 20 days is C. Find the number of yards per day by division, and then multiply that quotient by the number of days.

How to illustrate the expression?

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It's important to find the number of yards per day by division, and then multiply that quotient by the number of days. The correct option is C.

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A family of four want to go on a cruise around the Mediterranean. They ask for details about cabins on the ship. Cabin Price per person Inside £439 Outside £499 Balcony £565 Suite £869 How much more is a cabin with a balcony than an inside cabin? £

Answers

Answer:

£126

Step-by-step explanation:

From the question, Cabin price is given as:

Cabin Price Per person

Inside £439

Outside £499

Balcony £565

Suite £869

How much more is a cabin with a balcony than an inside cabin?

Per person,

This is calculated as:

£565 - £439

= £126

2. The greatest common factor of 8 and 12.
a.) 2
c) 4
[Eb.) 4
4
d) 96
6.N

Answers

Answer:

The correct answer is 4.

Step-by-step explanation:

4 is the biggest number that both numbers can be divided. 12 divided by 4 = 3 and 8 divided by 4 = 2. 12 can be divided by 6, but not 8, so 4 is the greatest common factor.

Answer:

C

Step-by-step explanation:

The common factors are:

1, 2, 4

The Greatest Common Factor:

GCF = 4

Solution

The factors of 8 are:

1, 2, 4, 8

The factors of 12 are:

1, 2, 3, 4, 6, 12

The common factors are:

1, 2, 4

The Greatest Common Factor:

GCF =4

and there is your answer for this question

caroline is using modeling clay to make a model of a pyramid with the dimensions shown. m70900 000 how much modeling clay does she need to complete the model? round to the nearest hundredth if necessary.

Answers

The volume of Caroline's pyramid is 42.40 cubic inches, calculated by multiplying one-third of the base area (16 square inches) by the height (7.8 inches).

The volume of a pyramid is equal to one-third the area of the base multiplied by the height.

The area of the base of Caroline's pyramid is 4 inches * 4 inches = 16 square inches. The height of the pyramid is 7.8 inches. Therefore, the volume of the pyramid is 16 square inches * 7.8 inches / 3 = 42.4 cubic inches.

Caroline needs 42.4 cubic inches of modeling clay to complete her model. Rounded to the nearest hundredth, this is 42.40 cubic inches.

Volume of pyramid = (1/3) * Area of base * Height

= (1/3) * 16 square inches * 7.8 inches

= 42.4 cubic inches

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Find the value of the expression (4x-12)+(1/2xy-10) for x=4 and y=6

Answers

Answer:

8

Step-by-step explanation:

(4x-2)+(1/2xy-10)

4(4-2)+1/2(4*6-10)

8-2+2(6-10)

6+12-10

18-10

8

The required value would be 8 of the given expression (4x-12)+(1/2xy-10) for x = 4 and y = 6.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that expression as

⇒ 4x - 12 + 1/2xy - 10

Substitute the values of x=4 and y=6 in the above expression,

⇒ 4×4 - 12 + 1/2(4×6) - 10

Apply the multiplication operation,

⇒  16 - 12 + 1/2(24) - 10

⇒  4 + 12 - 10

⇒  8

Therefore, the required value would be 8 of the given expression (4x-12)+(1/2xy-10) for x=4 and y=6.

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Question 5: (2+4+3+3 Marks) 4 Let B be a fixed n x n invertible matrix. Define T: Man Man by T(A)=B-¹AB. Find T(I) and T(B). i) ii) Show that T is a linear transformation. III) iv) Show that ker(7)= (0). What is nullity(7)?

Answers

In question 5, we are asked to find T(I) and T(B) for a given linear transformation T, show that T is a linear transformation, prove that the kernel of T is {0}, and determine the nullity of T.

To find T(I), we substitute I (the identity matrix) into the definition of T: T(I) = B⁻¹IB = B⁻¹B = I. Similarly, for T(B), we substitute B into the definition of T: T(B) = B⁻¹BB = B⁻¹B² = B.

To show that T is a linear transformation, we need to demonstrate that it preserves vector addition and scalar multiplication. Let A₁ and A₂ be matrices and c be a scalar. We have T(A₁ + A₂) = B⁻¹(A₁ + A₂)B = B⁻¹A₁B + B⁻¹A₂B = T(A₁) + T(A₂), showing preservation of vector addition. Similarly, T(cA) = B⁻¹(cA)B = c(B⁻¹AB) = cT(A), demonstrating preservation of scalar multiplication.

To prove that the kernel (null space) of T is {0}, we need to show that the only solution to the equation T(A) = 0 is A = 0. By substituting 0 into the definition of T, we get B⁻¹0B = 0, which implies that A = 0.

The nullity of T is the dimension of the kernel, which in this case is 0 since the kernel only contains the zero matrix. Therefore, the nullity of T is 0.

In conclusion, T(I) = I, T(B) = B, T is a linear transformation, the kernel of T is {0}, and the nullity of T is 0.

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Ellie will begin college in 10 years and will have to pay $27,000 at the beginning of each of her four years in
college. Her parents start saving money for college by investing $X at the end of each of the next 10 years so
that the money in the account after 10 years will be enough to pay for all of Lisa’s college costs. Assume the
annual effective rate of interest of 2.3%. Calculate $X.

Answers

Ellie's parents need to invest approximately $6,165.56 at the end of each of the next 10 years to accumulate enough money to pay for all of Ellie's college costs.

To calculate the amount Ellie's parents need to invest each year, we can use the concept of future value of an ordinary annuity.

The formula to calculate the future value of an ordinary annuity is:

FV = P * ((1 + r)^n - 1) / r

Where:
FV = Future value of the annuity
P = Payment amount
r = Interest rate per period
n = Number of periods

In this case, Ellie's parents need to save enough money to cover the college costs for 4 years, so the number of periods (n) is 4. The interest rate per period (r) is 2.3% or 0.023.

We need to find the payment amount (P). Let's substitute the values into the formula:

27,000 = P * ((1 + 0.023)^4 - 1) / 0.023

Simplifying the equation:

27,000 = P * (1.10073 - 1) / 0.023
27,000 = P * 0.10073 / 0.023
27,000 = P * 4.3763

Dividing both sides of the equation by 4.3763:

P = 27,000 / 4.3763
P ≈ $6,165.56

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.The increasing sequence 2,3,5,6,7,10 consists of all positive integers which are not perfect powers. What is the sum of the squares of the digits of the 1000th number in this sequence?

Answers

The sum of the squares of the digits of the 1000th number in the sequence is 5.

How to determine the sum of the squares of the digits of the 1000th number in this sequence

To find the 1000th number in the sequence 2, 3, 5, 6, 7, 10, we can observe the pattern of the sequence. It consists of all positive integers that are not perfect powers.

The sequence starts with the prime numbers (2, 3, 5, 7), followed by numbers that are products of two primes (6 = 2 * 3, 10 = 2 * 5).

After that, the sequence includes numbers that are products of three primes (30 = 2 * 3 * 5, 42 = 2 * 3 * 7, 70 = 2 * 5 * 7), and so on.

We can see that each number in the sequence is built by multiplying distinct primes together.

To find the 1000th number in the sequence, we need to continue this pattern until we reach the desired position.

Let's calculate the 1000th number:

We start with the prime numbers: 2, 3, 5, 7.

Next, we multiply them together: 2 * 3 * 5 * 7 = 210.

So, the 1000th number in the sequence is 210.

To find the sum of the squares of the digits of 210, we calculate:

[tex](2^2) + (1^2) + (0^2) = 4 + 1 + 0 = 5.[/tex]

Therefore, the sum of the squares of the digits of the 1000th number in the sequence is 5.

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Problem 2 (36 points) The fashion compuny "minimum design" produces three products: a fabric necklace, a bag and a scarf. The necklace requires 0.1 m

2, the bag 0.7 m

2 and the scarf 0.3 m∧2 of fabric. The company employs a tailor who works for 30 minutes for each necklace, 80 minutes for each bag and 20 minutes for each scarf produced. The tailor can work a maximum of 35 hours per week and the company's fabric supplier weekly provides 12.5 m

2 of fabric. The forecasted weekly demand is 40 necklaces, 20 bags and 30 scarfs. The necklace selis for $20, the bag for $85 and the scarf for $35. Your task is to solve the problem using linear programming. Assume fractional values of variables are feasible. Write answers to the following questions in the spaces provided. 3. (3 points) Define the decision variables with explanation of their meaning. Make sure to indicate the units of the decision variables b. (3 points) Write an objective function and explain its meaning briefly

Answers

A. The units of these decision variables are in quantities (pieces).

B. Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

a) Decision Variables:

Let's define the decision variables as follows:

x1: The number of fabric necklaces produced.

x2: The number of bags produced.

x3: The number of scarves produced.

The units of these decision variables are in quantities (pieces).

b) Objective Function:

The objective function represents the goal or objective to be optimized. In this case, the objective is to maximize the total profit generated from the sale of necklaces, bags, and scarves. The objective function can be written as follows:

Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

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Which linear function represents a slope of 1/4? ​

Answers

Answer:

a

Step-by-step explanation:

THE ANSWER IS B!!!!

Step-by-step explanation: I just did it on edge

Find the sum:
2 + 7 + 12 + 17 + ......
to 19 terms.
.

Answers

893

Filler so I can post this

What is the correct answer for Jorge's problem? Explain where he went wrong.

Answers

Answer:

what is jorges prob

what is the measure of an exterior angle in a convex hexagon

Answers

The measure of an exterior angle in a convex hexagon is 60 degrees. This is because the sum of the exterior angles of any convex polygon is 360 degrees, and a hexagon has 6 sides. Therefore, each exterior angle must measure 360/6 = 60 degrees.

Exterior angles are formed when one side of a polygon is extended. They are supplementary to the interior angles that are opposite them. This means that the sum of the measures of an exterior angle and its opposite interior angle is 180 degrees.

A convex hexagon is a six-sided polygon with all of its interior angles less than 180 degrees. The sum of the interior angles of any convex polygon can be found using the following formula:

Sum of interior angles = (n - 2)180

where n is the number of sides in the polygon.

In a hexagon, each interior angle measures 180 - 60 = 120 degrees. Therefore, each exterior angle is supplementary to an interior angle that measures 120 degrees. This means that each exterior angle measures 180 - 120 = 60 degrees.

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what is the definition of balanced force What are the two fundamental risks that the risk-free rate does not have? Please explain these two risks. 1. Which ecosystem did you choose?Canopies2. What abiotic factors would you find in this ecosystem?sunlight3. What biotic factors would you find in this ecosystem?Tall thin trees4. How could humans impact the biotic and abiotic factors in this ecosystem? (5 examples) Question One Q1a) You have been appointed as project procurement director for a large corporate organisation that is involved in the procurement and execution of large projects. You recognise that corporate sustainable policy does not exist in the organisation and management does not seem to appreciate or understand the essence of sustainability in project. Develop a strategy report that explains to management the need for corporate sustainability policy mandate for the organisation. Map out a corporate sustainability policy for the organisation and link the policy mandate to a realistic project procurement sustainability strategy. Highlight the likely short term, medium and long-term impact of your sustainability objectives on your sector of choice. 1b) Traditionally, procurement decision often focuses on the capital expenditure (CAPEX), and largely ignores the operational expenditure (OPEX) of the facility. Discuss why this is problematic, particularly from the perspective of lifecycle value (LCV). word 500 minimumsubject- fundamental of international trade question-1 Explain how to use a VRIO framework to understand a firm's resources and capabilities. You can state the answer by quoting an example related to The purpose of Chapter 7 of the Bankruptcy Reform Act is to regulate the process of liquidation by providing an orderly and equitable structure for the selling of assets and settling debts. True False When there is a debtor in possession during a reorganization, the owners retain possession of the assets, continue to operate the business, and have the primary responsibility to develop an acceptable plan of reorganization. True False In a liquidation, all assets are liquidated (sold) and liabilities paid up to the amount received for the assets, in order of priority and subject to collateral agreements. In a reorganization, the company attempts to continue business. True False the three categories of assets in a Statement of Financial Affairs do NOT include? Pledged with fully secured creditors pledged with partially secured creditors, restricted assets free assets. The trustee must recover all properties belonging to the insolvent company and preserve the estate from further deterioration. True False The trustee is required to make proper recording of all activities and report them to the court and interested parties. True False The common elements in a reorganization proposal are plans for proposing changes in the companys operations, plans for generating additional monetary resources, plans for changes in management of the company, and plans to settle debts that existed when the order of relief was filed. True False GAAP requires that assets on the balance sheet will continue to be reported at their book values; however, liabilities that are subject to compromise should be reported at expected amounts to settle claims. Additionally, assets and liabilities are not classified as current/noncurrent. True False GAAP requires that all revenues, gains, losses, and expenses resulting from the reorganization should be reported separately. Such items are placed on the income statement before any income tax expense or benefit. True False What is meant by "inflation" in relation to the Big Bang theory? The universe oscillated as particles and antiparticles annihilated each other. The universe was suddenly pushed apart when the strong nuclear force froze out of the grand unified forces. The universe suddenly became dark when the expansion of the universe reached the event horizon. Hubble's Law demonstrates that the universe is still expanding. 4. "Expansion of human freedom and capabilities are both goals and means of development" explain in light of Asian Development Model.5. Explain the notion of development as capability expansion.6. What are the arguments in favour of adding a gender dimension to the study of developmentprocess? Round each number to two sig, figs.13) 3.94814) 11,561.0615) 6,789.216) 112.617)0.0004888818) 119.999 On January 1, 2021, Concord Corp. had 2,883,000 shares of common stock issued and outstanding. During 2021, it had the following transactions that related to common stock. Mar. 1 Issued 255,000 shares in exchange for land Apr. 1 Acquired 216,000 shares of treasury stock July 1 Issued a 20% stock dividend Sept. 1 Reissued 259,200 shares of treasury stock (adjusted for 20% stock dividend) Oct. 1 Issued a 2-for-1 stock split (a) Determine the weighted average number of shares outstanding as of December 31, 2021. The weighted-average number of shares outstanding The following transactions and events for Red Inc. are being reviewed for possible adjusting entries at December 31 (the end of Reds accounting period).On December 31 salaries earned by employees but not yet paid (or recorded) were $4,500.Equipment used in operations cost $500,000; it was purchased on July 1, which was 4.5 years before the current December 31 year-end. It has an estimated useful life of 10 years and estimated residual value of $0. Straight-line depreciation is used.On October 1, the company paid the city a $1,600 license fee for the next 12 months. On that date, Cash was credited and License Expense debited for $1,600.On November 1, the company loaned $90,000 cash to another company. The loan was at 10% per year and was due in six months; interest is payable at maturity. On that date, Cash was credited and Note Receivable was debited for $90,000.On July 1, the company paid $2,400 for a 24-month insurance policy. On that date, Cash was credited and Prepaid Insurance was debited for $2,400What account(s) should be credited for item 5?What account(s) should be debited for item 5?What amount should be recorded for item 5? Write a brief paragraph explaining the significance of the 369th Regiment in World War I. A recent government legislation brought price of lifesaving drug X down by more than 300%, yet there was no change in quantity demanded of the said drug. PART A: Which of the following identifies a theme of the text? From the story home A firm practices a chase strategy. Production last quarter was 1000. Demand over the next four quarters is estimated to be 900, 700, 1000, and 1000. Hiring cost is $10 per unit, and layoff cost is $20 per unit. Over the next year, calculate the sum of hiring and layoff costs. Show all details of your answer. Write a thank you letter to your friend who has helped you in your work(project). Human development occurs in many aspects at the sane time. This is because development is: A small company heats its building and spends $8,500 per year on natural gas for this purpose. Cost increases of natural gas are expected to be 8% per year starting one year from now (i.e., the first cas $9,180 at EOY one). Their maintenance on the gas furnace is $350 per year, and this expense is expected to increase by 15% per year starting one year from now (i.e., the first cash flow for this expens $402.50 at the EOY one). If the planning horizon is 15 years, what is the total annual equivalent expense for operating and maintaining the furnace? The interest rate is 20% per year. Click the icon to view the interest and annuity table for discrete compounding when i=8% per year. Click the icon to view the interest and annuity table for discrete compounding when i=15% per year. Click the icon to view the interest and annuity table for discrete compounding when i=20% per year. The total annual equivalent expense for operating and maintaining the furnace is $ thousands. (Round to two decimal places.) Explain what operational measures are, and how they are both distinct and related to evaluative criteria. Then choose an area and a hypothetical law in that area, and explain how two evaluative criteria from the list we have might be looked at. Provide a couple examples of operational measures that might be relevant, and challenges in evaluating the policy. (4-6 sentences) The following narrative inspired the next five questions. During the pandemic, the real-time feedback from Keurig's smarthome-brewing machines gave KDP an early advantage with its K-Cups pods. "I turned our factories to maximum output, way in advance of retail orders, "says CEO Gamgort. The connected brewers were telling the company not just where, when, and how much consumers were making coffee but also what they were drinking. For example, early signs showed people were drinking much more premium coffee, likely because at 70 cents for a gourmet K-Cup at home, even premium home-brewed was a bargain compared to the $3 to $5 they would have spent at a Starbucks. Beyond changes in production and operations, KDP also launched a broad "Fueling the Front Line" campaign to recognize and lend support to frontline workers and health-care providers during the challenging times. For every consumer social media post of gratitude that included #FuelingtheFrontline, KDP provided a cup of coffee to a hospital worker KDP also donated Keurig brewers and coffee to break rooms in more than 350 hospitals across the country. And it sponsored a mobile truck tour that visited selected hospitals to give harried hospital workers and first responders a special moment outside to enjoy a cup of coffee or other beverage. Question: The relationships in KDP's were obvious as changes were needed in production, operations and marketing to handle increased demand during the pandemic. microenvironment macroenvironment To which element of KDP's business environment does your answer to the previous question belong? The Company Pohicical and Legal Technological Natural Customers Suppliers Demographic Marketing Intermediaries Cultural Publics Economic Competitors KDP's "Fueling the Frontline" campaign is an example of adapted global marketing environmental sustainability standardized global marketing cause-related marketing KDP's analysis of smarthome-brewing machine data was only possible because changes in the environment made it possible. economic cultural technological demographic "...early signs showed people were drinking much more premium coffee, likely because at 70 cents for a gourmet K-Cup at home, even premium home-brewed was a bargain compared to the $3 to $5 they would have spent at a Starbucks." KDP took advantage of the situation and positioned its offerings against the competition. Does this observation describe the actions of a microenvironmental "actor" or the influence of a macroenvironmental "force"? macroenvironmental "force" microenvironmental "actor"