Pls respond quick | what is the value of the expression? c711

a)330


b)1,663,200


c)5040


d)7920

Answers

Answer 1

The value of the expression 11C7 is 330. This can be calculated using the formula for combinations, which is nCr = n!/r!(n-r)!, where n is the total number of objects and r is the number of objects being selected. So, the correct answer is A).

To calculate the value of the expression 11C7, we need to use the formula for combinations or binomial coefficients, which is

nCr = n! / (r! * (n-r)!)

where n is the total number of items, r is the number of items to be chosen, and ! denotes the factorial operation (the product of all positive integers up to n).

In this case, we have

n = 11 and r = 7

So, we can substitute these values into the formula

11C7 = 11! / (7! * (11-7)!)

= 11! / (7! * 4!)

= (11 * 10 * 9 * 8 * 7 * 6 * 5) / (4 * 3 * 2 * 1)

= 330

Therefore, the value of the expression 11C7 is 330. So, the correct answer is A).

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--The given question is incomplete, the complete question is given

"Pls respond quick | what is the value of the expression? ₁₁C₇

a)330

b)1,663,200

c)5040

d)7920"--


Related Questions

Help!!!

which is a feature of function g if g(x) = -4 log(x – 8)?

a. the domain is x< 8.

b. the range is y > -8.

c. the value of the function decreases as x approaches positive infinity.

d. the value of the function increases as x approaches positive infinity.


wrong answers will be reported!!

Answers

The correct answer is option c i.e. the value of the function decreases as x approaches positive infinity.

The function g(x) = -4 log(x – 8) has the following features:

a. The domain is x > 8, because the expression x - 8 must be greater than 0 for the logarithm to be defined. Therefore, x must be greater than 8, so the domain is x > 8.

b. is incorrect because the range of the function is y < 0, not y > -8.

c. The value of the function decreases as x approaches positive infinity. As x gets larger and larger, the expression x - 8 gets larger and larger, so log(x - 8) gets larger and larger, approaching infinity. Multiplying by -4 makes the function more and more negative, so the value of the function decreases as x approaches positive infinity.

d. The value of the function does not increase as x approaches positive infinity, because as we just explained, the value of the function actually decreases as x approaches positive infinity. Therefore, option d is not correct.

Therefore, the correct answer is option c

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A 100 g blackbird is flying with a speed of 12 m/s directly toward a 30 g bluebird, who is flying in the opposite direction at a speed of 40 m/s

Answers

Answer: 0 g * m/s

Step-by-step explanation:

You first want to multiply 100g, by 12 m/s. This gives you the momentum of the first bird, the answer being 1200 g * m/s

Second, You was to multiply 30g, by 40 m/s. This gives you the momentum of the second bird, The answer also being 1200 g * m/s.

Then, subtract The final answers, and you get 0 g * m/s.

=(100 g)(12 m/s​)+(30 g)(−40 m/s​)

=1200 g⋅ m/s​+(−1200 g⋅ m/s​)

=0 g⋅ m/s

I am not an expert, so I may have gotten some things incorrect.

If this doesn't make sense please consult an expert :,)

The relative speed of the birds is 52 m/s.

We are given that;

Number of blackbirds= 100g

Speed= 12m/s

Now,

The relative speed of the blackbird as seen by the bluebird is:

vblackbird relative to bluebird​=vblackbird​−vbluebird​

vblackbird relative to bluebird​=−12−40

vblackbird relative to bluebird​=−52 m/s

This means that the blackbird is moving to the left at 52 m/s as seen by the bluebird. The relative speed of the bluebird as seen by the blackbird is:

vbluebird relative to blackbird​=vbluebird​−vblackbird​

vbluebird relative to blackbird​=40−(−12)

vbluebird relative to blackbird​=52 m/s

This means that the bluebird is moving to the right at 52 m/s as seen by the blackbird. The relative speed of either bird is equal to the magnitude (absolute value) of their relative velocity.

Therefore, by the speed the answer will be 52 m/s.

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Suppose the horses in a large stable have a mean weight of 807lbs, and a variance of 5776. what is the probability that the mean weight of the sample of horses would differ from the population mean by greater than 18lbs if 41 horses are sampled at random from the stable?

Answers

The probability that the mean weight of the sample of horses would differ from the population mean by greater than 18lbs if 41 horses are sampled at random from the large stable is approximately 0.131 or 13.1%.

Suppose the horses in a large stable have a mean weight of 807lbs and a variance of 5776. We want to find the probability that the mean weight of a sample of 41 horses would differ from the population mean by greater than 18lbs.

Step 1: Calculate the standard deviation of the population.
Standard deviation (σ) = √variance = √5776 = 76lbs.

Step 2: Calculate the standard error of the mean.
Standard error (SE) = σ / √n = 76 / √41 ≈ 11.88lbs, where n is the sample size (41 horses).

Step 3: Calculate the z-score for the difference of 18lbs.
z = (difference - 0) / SE = (18 - 0) / 11.88 ≈ 1.51

Step 4: Find the probability corresponding to the z-score.
Using a z-table, we find that the probability corresponding to a z-score of 1.51 is approximately 0.9345.

Step 5: Calculate the probability of the mean weight differing by more than 18lbs.
Since we are looking for the probability of the mean weight differing by more than 18lbs (in either direction), we need to consider both tails of the distribution.
P(z > 1.51) = 1 - 0.9345 = 0.0655
P(z < -1.51) = 0.0655 (since the distribution is symmetric)

Total probability = P(z > 1.51) + P(z < -1.51) = 0.0655 + 0.0655 = 0.1310

So, the probability that the mean weight of the sample of horses would differ from the population mean by greater than 18lbs if 41 horses are sampled at random from the large stable is approximately 0.131 or 13.1%.

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Brainliest for the one who answers first!
The measure of an angle is 90.4°. What is the measure of its supplementary angle?

Answers

Answer:

89.6°

Step-by-step explanation:

180-90.4=89.6°

Answer: 89.6

Step-by-step explanation:

Supplementary means angles adding up to 180

180-90.4  = x

x=89.6   this is your supplemental angle

Select all the tables that show quadratic functions.


(select all that apply.)

Answers

To select all the tables that show quadratic functions, look for tables with a second-degree polynomial equation in the form of "y = ax² + bx + c".

Which of the following tables display a quadratic function in the form of "y = ax² + bx + c"?

Tables that show quadratic functions:

(a).

x y

-2 8

-1 3

0 0

1 1

2 4

This table shows a quadratic function in the form of y = x² - 2x.

(b)

x y

-3 0

-2 1

-1 4

0 9

1 16

2 25

3 36

This table shows a quadratic function in the form of y = x².

A quadratic function is a second-degree polynomial function that can be expressed in the general form of "y = ax² + bx + c", where a, b, and c are constants.

In this form, the variable "x" is squared, and the coefficient "a" determines whether the parabola opens upward or downward.

To identify tables that show quadratic functions, we need to look for tables that display data points that follow a quadratic pattern.

That is, the dependent variable (y) changes in a way that corresponds to a quadratic equation.

In the first table, the values of y correspond to the quadratic equation y = x² - 2x. The second table shows a set of data points that corresponds to the quadratic function y = x².

Therefore, these two tables show quadratic functions.

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PLEASE ANSWER ASAPPP!!!!!


Using the following equation, find the center and radius:



x2 − 4x + y2 + 8y = −4



The center is located at (−2, −4), and the radius is 4.


The center is located at (2, −4), and the radius is 4.


The center is located at (−2, −4), and the radius is 16.


The center is located at (2, −4), and the radius is 16

Answers

The center is located at (2, −4), and the radius is 4.



To find the center and radius of this equation, we need to complete the square for both the x and y terms.

Starting with the x terms:

x^2 - 4x

To complete the square, we need to add and subtract (4/2)^2 = 4:

x^2 - 4x + 4 - 4

Now we can simplify:

(x - 2)^2 - 4

And for the y terms:

y^2 + 8y

We need to add and subtract (8/2)^2 = 16:

y^2 + 8y + 16 - 16

Simplifying:

(y + 4)^2 - 16

Now we can rewrite the original equation:

(x - 2)^2 - 4 + (y + 4)^2 - 16 = -4

Combining like terms:

(x - 2)^2 + (y + 4)^2 = 4

This is in the form of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where the center is (h, k) and the radius is r.

So the center is located at (2, -4) and the radius is 4.

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8. javier's deli packs lunches for a school field trip by randomly selecting sandwich, side, and drink
options. each lunch includes a sandwich (pb&j, turkey or ham and cheese), a side (cheese stick or
chips), and a drink (water or apple juice).
what is the probability that student gets a lunch that includes chips and apple juice?
what is the probability that a student gets a lunch that does not include chips?

Answers

The probability that a student gets a lunch with chips and apple juice is 1/12, and the probability that a student gets a lunch without chips is 1/2.

There are 3 choices of sandwiches, 2 choices of sides, and 2 choices of drinks, so there are a total of 3x2x2 = 12 possible lunch combinations. To find the probability that a student gets a lunch that includes chips and apple juice, we need to count the number of lunch combinations that include chips and apple juice, and then divide by the total number of possible lunch combinations.

Number of lunch combinations that include chips and apple juice = 1 (chips and apple juice is only one combination)

Total number of possible lunch combinations = 12

Probability of getting a lunch that includes chips and apple juice = 1/12

To find the probability that a student gets a lunch that does not include chips, we need to count the number of lunch combinations that do not include chips, and then divide by the total number of possible lunch combinations,

Number of lunch combinations that do not include chips = 6 (3 choices of sandwiches x 2 choices of drinks) Total number of possible lunch combinations = 12, probability of getting a lunch that does not include chips = 6/12 = 1/2

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Holly cuts 6 ribbons into fifths for a craft project.


1


how many --size ribbons does she have?


5


holly has


one-fifth-size ribbons.

Answers

If Holly cuts 6 ribbons into fifths for her craft project, after cutting, she has a total of 30 one-fifth-size ribbons (6 ribbons x 5 cuts each).

Holly has cut 6 ribbons into fifths for her craft project. This means that she has a total of 30 ribbons, each with a size of one-fifth. To understand this better, we can break it down into fractions. Each ribbon is one-fifth of a whole ribbon, and since Holly has cut 6 ribbons, she has 6 times one-fifth, which equals 30. So, to answer the question, Holly has 30 ribbons, each with a size of one-fifth. These ribbons can be used for various crafts, such as creating bows, wrapping presents, or decorating cards. The possibilities are endless, and with 30 ribbons, Holly can get creative and make a lot of beautiful crafts.

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Consider the differential equation dy dx = 23 48 (A) Re-write the equation in terms of differentials: dy= dx LHS: RHS: (B) Now integrate each side of the equation: + C1 = = + C2 LHS: RHS: (C) Solve the equation for y, given that that y(0) = 4. Y=

Answers

The solution for the differential equation is y = (23/48) x + 4.

How to determined the ordinary differential equation?

(A) Re-writing the differential equation in terms of differentials, we get:

dy = (23/48) dx

Here, dy and dx represent infinitesimal changes in the variables y and x, respectively.

(B) Integrating both sides of the equation with respect to their respective variables, we get:

∫dy = ∫(23/48)dx

On the left-hand side, the integral of dy is simply y (plus a constant of integration), while on the right-hand side, we can pull the constant factor (23/48) outside the integral:

y + C1 = (23/48) ∫dx

Integrating the right-hand side with respect to x, we get:

y + C1 = (23/48) x + C2

where C1 and C2 are constants of integration.

(C) To solve for y, we can isolate it on one side of the equation by subtracting C1 from both sides:

y = (23/48) x + (C2 - C1)

Next, we can use the initial condition y(0) = 4 to solve for the constant C2 - C1:

y(0) = (23/48) (0) + (C2 - C1) = C2 - C1

Since y(0) = 4, we have:

4 = C2 - C1

Therefore, C2 - C1 = 4, and we can substitute this back into the expression for y to get the final solution:

y = (23/48) x + 4

So the solution for the differential equation with initial condition y(0) = 4 is y = (23/48) x + 4.

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A company that maintains swimming pools eams $60 for each pool the workers clean and treat with chemicals.
. The revenue, in dollars, the company earns to clean and treat z pools can be described using the function r(z) = 60z.
• The cost, in dollars, the company pays for chemicals and for the workers to clean and treat z pools can be described using the function c (z) = 3z² + 42r.
. The profit the company earns, in dollars, can be described using the function p (z)=r(z) - c(z).
Determine a simplified expression to describe p (z), the profit the company earns, in dollars. Use the on-screen keyboard to type the answer in the box.


WHAT IS P(x) =

Answers

The simplified expression for p(z), the profit the company earns, in dollars is: p(z) = -3z² + 18z

What is function?

The set X is known as the domain of the function, and the set Y is known as the codomain of the function. A function from a set X to a set Y assigns each element of X to exactly one element of Y. Originally, functions were an idealization of how one variable depends on another.

According to question:

First, let's substitute the expressions for r(z) and c(z) in the expression for p(z):

p(z) = r(z) - c(z)

p(z) = 60z - (3z² + 42z)

p(z) = 60z - 3z² - 42z

p(z) = -3z² + 18z

Therefore, the simplified expression for p(z), the profit the company earns, in dollars is:

p(z) = -3z² + 18z

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For the function f(x,y) = x^2 e^{3xy}, find fx, and fy.

Answers

For function f(x,y) = x² e^{3xy} ,  fx = 2xe^{3xy} + 3x²y e^{3xy}, fy = 3x² e^{3xy}

The given function is f(x,y) = x² e^{3xy}.

To find the partial derivatives of f(x,y) with respect to x and y,

we differentiate the function with respect to each variable while treating the other variable as a constant.

To find fx, we differentiate the function f(x,y) with respect to x while treating y as a constant.

The derivative of x² is 2x, and the derivative of e^{3xy} is e^{3xy} times the derivative of 3xy with respect to x, which is 3y.

Therefore, we get:

fx = (d/dx)(x² e^{3xy}) = 2xe^{3xy} + 3x²y e^{3xy}

To find fy,

we differentiate the function f(x,y) with respect to y while treating x as a constant.

The derivative of e^{3xy} with respect to y is e^{3xy} times the derivative of 3xy with respect to y, which is 3x². Therefore, we get:

fy = (d/dy)(x² e^{3xy}) = 3x² e^{3xy}

Hence, the partial derivatives of f(x,y) are fx = 2xe^{3xy} + 3x^2y e^{3xy} and fy = 3x² e^{3xy}.

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Rectangle ABCD shown below is a scale drawing of rectangle UVWX. the scale is 1:2 1/2


fill in the blanks below

someone please help

Answers

Using area formula for rectangles, we can find the new area of the rectangle to be 7350m².

The new dimensions are:

Length = 105m

Breadth = 70m

Define a rectangle?

A rectangle is a quadrilateral with parallel opposite sides and equal angles. There are a lot of rectangular objects all around us. Each rectangle's two defining characteristics are its length and breadth. A rectangle's longer and shorter sides are its width and length, respectively.

Here in the question,

Dimensions of the rectangle are as follows:

Length, l = 42m.

Width, w = 28m.

Scale factor here is 1: 5/2

Now,

Let the new width be x.

The new width will be:

28/x = 1/ (5/2)

Cross multiplying:

⇒ 28 × 5/2 = x

⇒ x = 70m.

So, new width = 70m.

Now, let new length be x.

So,

42/x = 1/ (5/2)

Cross multiplying:

⇒ x = 42 × 5/2

⇒ x = 105m.

So, the new length = 105m.

Now new area will be:

70 × 105

= 7350m².

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Jill is starting her own business called Fuzzy Socks Box, where she'll knit and sell gift boxes of fuzzy socks online. She conducted a survey to predict how the price she charges per gift box will affect how many gift boxes she'll sell. She concluded that if she charges x dollars per gift box, she'll sell – 10x+350 gift boxes in her first month. It will cost Jill $2 to create each gift box. So, she will earn x–2 dollars in profit per gift box. What is the lowest price Jill can charge per gift box to earn $2,000 in profit in her first month?

Answers

The lowest price she can charge per gift box to earn $2,000 in profit in her first month is approximately $3.2.

Jill is starting her own business called Fuzzy Socks Box, where she'll knit and sell gift boxes of fuzzy socks online.

Jill's profit per gift box is x - 2 dollars. To earn $2,000 in profit in her first month, she needs to sell

2000 / (x - 2) gift boxes.

According to her survey, the number of gift boxes she'll sell is

-10x + 350

Setting these two expressions equal to each other, we can find the lowest price Jill can charge per gift box to earn $2,000 in profit

-10x + 350 = 2000 / (x - 2)

Multiplying both sides by (x - 2), we get

-10[tex]x^{2}[/tex] + 12x - 470 = 0

Solving this quadratic equation, we find that

x = (6 +[tex]\sqrt{196[/tex] )/5 ≈ 3.2

or

x = (6 -[tex]\sqrt{196[/tex] )/5 ≈ 0.7

Since Jill cannot charge a negative price for her gift boxes, the lowest price she can charge per gift box to earn $2,000 in profit in her first month is approximately $3.2.

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Due to the annual rate of inflation, a gallon of milk that costs $3. 25 today would have cost $1. 75 if it was bought 20 years ago.

Answers

The annual rate of inflation between the two time periods is approximately 3.05%.

To calculate the annual rate of inflation, we can use the formula:

Annual Inflation Rate = ((Current Price - Past Price) / Past Price) * 100 / Number of Years

Plugging in the values, we have:

((3.25 - 1.75) / 1.75) * 100 / 20 ≈ 0.153 * 100 / 20 ≈ 3.05%

Therefore, the annual rate of inflation between the two time periods is approximately 3.05%.

Inflation refers to the general increase in prices over time, which leads to a decrease in the purchasing power of money. In this case, the cost of a gallon of milk has increased from $1.75 to $3.25 over 20 years. By calculating the annual rate of inflation, we find that prices have been rising at an average rate of 3.05% per year during this period.

This means that the cost of goods and services, including milk, has increased by an average of 3.05% each year due to inflation. It highlights the importance of considering inflation when comparing prices and understanding the impact it has on the value of money over time.

In conclusion, based on the given information, the annual rate of inflation between the two time periods is approximately 3.05%, indicating the increase in the cost of a gallon of milk over 20 years.

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Question number 5. What is the relation called

Answers

Answer:

This relation is a function.

Algebraically, this function is written as

y = 5x.

The second number is five more than the first number. The sum of three times the first and double the second number is 30. Find the numbers.

Answers

Answer:

x = 4 and y = 9

Step-by-step explanation:

Let x and y be the two numbers. Also,

Let the first number be x and the second number be y.

Converting the word expressions to an equation we get:

                   y = x + 5

               3x + 2y = 30

Only thing left is to substitute y = x + 5 into the second equation

     3x + 2y = 30

     3x + 2(x + 5) = 30   (substituting y as x + 5)

     3x + 2x + 10 = 30   (multiplying by both x and 5)

     5x = 30 - 10     (collecting like terms to one side)

     5x = 20

     [tex]\frac{5x}{5} = \frac{20}{5}[/tex]     (divide both sides by 5 to get the value of x)

     x = 4

 Now that we know the value of x, we can find y.

      y = x + 5

      y = 4 + 5

      y = 9

If you want to make sure your answer is correct, substitute x and y into the equation.

  3x + 2y = 30

  3(4) + 2(9) = 30

  12 + 18 = 30

  30 = 30

For y=f(x) = 3x^2, find Δx, Δy, and Δy/Δx' given x1 = 1 and x2 = 5

Answers

For the function y = f(x) = 3x² the Δx is  4, Δy is 72, and Δy/Δx is 18  between x1 = 1 and x2 = 5.

To find the values of Δx, Δy, and Δy/Δx for the function y = f(x) = 3x² between x1 = 1 and x2 = 5.

Δx represents the change in x between x1 and x2,

It can be calculated as Δx = x2 - x1 = 5 - 1 = 4.

Δy represents the change in y (or the output of the function f(x)) between x1 and x2, and can be calculated as Δy = f(x2) - f(x1).

We can find the value of f(x) by substituting x = 1 and x = 5 into the equation f(x) = 3x²:

f(1) = 3(1)² = 3

f(5) = 3(5)² = 75

Therefore, Δy = f(x2) - f(x1) = 75 - 3 = 72.

Δy/Δx represents the average rate of change of y with respect to x between x1 and x2,

It can be calculated as Δy/Δx' = [f(x2) - f(x1)] / [x2 - x1].

We can substitute the values of Δy and Δx into this equation to get:

Δy/Δx' = [f(x2) - f(x1)] / [x2 - x1] = [75 - 3] / (5 - 1) = 72 / 4 = 18.

Therefore, the values of Δx, Δy, and Δy/Δx are 4, 72, and 18, respectively.

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(a)
The masses of two animals at a zoo are described, where band care integers.
•The mass of an African elephant is 6, 125,000 grams, or about 6 x 10 grams.
• The mass of a silverback gorilla is 185, 000 grams, or about 2 x 10 grams.
What are the values of b and c?
bu
CH
(b) Part B
Using these estimated values, the mass of the African elephant is about 3 x 10 times the mass of the silverback gorilla, where m is an integer.
What is the value of m?
m

Answers

The value of m by the given data is m=2

We are given that;

Number of elephants= 125000gram

The mass of african elephant= 3 x 10

Now,

To find the values of b and c, we need to write the given masses in scientific notation, which means that the coefficient must be between 1 and 10. For example, 6 x 10 grams is not in scientific notation, because 6 is not between 1 and 10. To fix this, we need to move the decimal point one place to the left and increase the exponent by one. We get:

6x106 grams=6.0x106 grams=6.0x106−1×101 grams=6.0x105×101 grams=6.0x105+1 grams=6.0x107 grams

Similarly, for the silverback gorilla, we get:

2x105 grams=2.0x105 grams=2.0x105−1×101 grams=2.0x104×101 grams=2.0x104+1 grams=2.0x105 grams

Therefore, the values of b and c are b=7,c=5

To find the value of m, we need to divide the mass of the African elephant by the mass of the silverback gorilla and write the result in scientific notation. We get:

Mass of silverback gorillaMass of African elephant​=2.0x105 grams6.0x107 grams​=2.06.0​×105107​=3.0×107−5=3.0×102

Therefore, by unitary method the answer will be m=2.

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Stacy has 3 collector’s cards. She receives 1 more card each week that she volunteers at the student center. Let x = the number of weeks. Let y = the number of cards

Answers

The equation would be: y = 3 + x

To include the terms you mentioned, we can set up an equation to represent the relationship between the number of weeks Stacy volunteers (x) and the number of cards she has (y).

Since Stacy starts with 3 collector's cards and receives 1 more card each week she volunteers, the equation would be:

y = 3 + x

In this equation, x represents the number of weeks Stacy volunteers, and y represents the total number of collector's cards she has.

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Select the statement that correctly describes the relationship for angles of an inscribed quadrilateral. (10pts pls help)

Answers

The opposite angles in an inscribed quadrilateral are supplementary, meaning their sum is 180 degrees.

What is the relationship between the angles of an inscribed quadrilateral, and how related to each other?

An inscribed quadrilateral is a quadrilateral whose vertices all lie on a circle. Let's label the vertices of the quadrilateral as A, B, C, and D, in clockwise order.

Draw the circle that contains all four vertices, and label the center of the circle as O.

Now, draw chords AC and BD that cross at point P. Each chord divides the quadrilateral into two triangles. Notice that angle AOC and angle BOD are both central angles that subtend the same arc, CD.

Therefore, these angles have the same measure, and we can write:

angle AOC = angle BOD = x

Similarly, we can show that angle AOB = angle COD = y.

Now, consider the two triangles APC and BPD. These triangles share the side P D and have the same angle APD, which is equal to angle AOC + angle BOD, or 2x.

Therefore, by the angle-sum property of triangles, the other angles in each triangle must also be equal. We can write:

angle APC = angle BPD = (180 - 2x)/2 = 90 - x

Similarly, consider the two triangles APB and CPD. These triangles share the side P C and have the same angle APC, which we just found to be 90 - x.

Therefore, by the angle-sum property of triangles, the other angles in each triangle must also be equal. We can write:

angle APB = angle CPD = (180 - (90 - x))/2 = 90 + x/2

Finally, notice that angle APB + angle CPD = (90 + x/2) + (90 - x/2) = 180, so the opposite angles in the quadrilateral are indeed supplementary.

Therefore, the main answer is: The opposite angles in an inscribed quadrilateral are supplementary, meaning their sum is 180 degrees.

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C. What part of the federal reserve’s congressional mandate does this scenario trigger (price stability and maximum sustainable employment

Answers

In the scenario you mentioned, the part of the Federal Reserve's congressional mandate that is triggered is both price stability and maximum sustainable employment.

The Federal Reserve has a dual mandate from Congress which consists of:

1. Price stability: This objective aims to maintain a stable inflation rate, ensuring that the purchasing power of money remains relatively constant over time. Price stability helps households and businesses make informed decisions regarding investments and consumption.

2. Maximum sustainable employment: This objective focuses on maintaining a high level of employment while avoiding unsustainable economic growth that could lead to high inflation. Achieving maximum sustainable employment involves minimizing unemployment while not causing inflation to rise significantly.

In the scenario you mentioned, the Federal Reserve would need to carefully balance its monetary policy to ensure that both objectives, price stability and maximum sustainable employment, are achieved. This might involve adjusting interest rates or using other monetary policy tools to influence economic activity, employment levels, and inflation.

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PLEASE HELP
Which inequality is true?

A number line going from negative 3 to positive 3 in increments of 1.

One-fourth less-than negative 1 and StartFraction 2 Over 4 EndFraction
Negative 2 and three-fourths less-than negative 1 and one-half
Negative 2 and one-fourth greater-than negative 1 and one-fourth
Negative three-fourths greater-than 1 and three-fourths

Answers

The inequality that is true is Negative 2 and three-fourths less-than negative 1 and one-half.

How to find the true inequality ?

The first inequality from the number line can be shown to be :

( 1 / 4 ) < - 1 1 / 2

This is not possible as a negative cannot be larger than a positive.

The second inequality is:

- 2. 75 < - 1. 5

This is true as larger negative numbers are lower than smaller negative numbers.

The third inequality is:

- 2. 25 > - 1. 25

This is not possible for the reason explained.

In conclusion, option B is correct.

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Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is bounded by y = e, y = 0, x = 0, and x = 1; p(x, y) = 31y

Answers

The mass of the lamina that occupies the region D is 31/2 units and the center of mass is located at (1/2, 2/e).

We can find the mass of the lamina by integrating the density function over the region D:

m = ∫∫D p(x,y) dA

where dA is the area element in polar coordinates, which is equal to r dr dθ. The region D can be described as 0 ≤ x ≤ 1 and 0 ≤ y ≤ e, so the integral becomes:

m = ∫0^1 ∫0^e 31y dy dx

Solving the integral, we get:

m = 31/2

To find the center of mass, we need to find the x-coordinate and y-coordinate separately:

x = (1/m) ∫∫D x p(x,y) dA

y = (1/m) ∫∫D y p(x,y) dA

For the x-coordinate, we have:

x = (1/m) ∫0^1 ∫0^e x(31y) dy dx

Simplifying, we get:

x = (1/m) ∫0^1 31/2 x dx

x = 1/2

For the y-coordinate, we have:

y = (1/m) ∫0^1 ∫0^e y(31y) dy dx

Simplifying, we get:

y = (1/m) ∫0^1 31/3 e^3 dx

y = (2/e)

Therefore, the center of mass is located at (1/2, 2/e).

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When students asked their teacher how old her children​ were, she​ said, "I have three children. The product of their ages is 72 and the sum of their ages is the number of this​ room. " The children then asked for the door to be opened to verify the room number. Then Carly told the teacher she needed more information to solve the problem. The teacher​ said, "My oldest child is good at​ math. " Then Carly announced the correct ages of her​ teacher's children. What are the ages of the​ teacher's children?

Answers

The ages of the​ teacher's three children whose product is 72 will be 3,3,8.

Let the age of three children be x, y, z

x × y × z = 72

x + y + z = No. of rooms

Now possible answers can be three numbers whose product is 72

There are two possible answers in which the product of the number is 72 and the sum of the number is also same

1) 2 × 6 × 6 = 72  and 2 + 6 + 6 = 14

2) 3 × 3 × 8 = 72  and 3 + 3 + 8 = 14

Now teacher gave a hint that his oldest child is good at math

Oldest means one of the three child is oldest so the only possible answer could be 3,3,8

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2 1/7 x 4.3 (repeating the three)

write as a mixed number in simplest form

Answers

2 1/7 x 4.3 (repeating the three) as a mixed number in simplest form is 9 2/7.

First, we can simplify the mixed number 4.3 (repeating the three) as follows:

Let x = 4.3 (repeating the three)

Then 10x = 43.33333...

Subtracting x from 10x, we get:

10x - x = 43.33333... - 4.33333...

9x = 39

x = 4.33333... / 9

x = 4 1/3

Now, we can multiply 2 1/7 by 4 1/3:

2 1/7 x 4 1/3 = (15/7) x (13/3)

= (15 x 13) / (7 x 3)

= 195 / 21

To write this as a mixed number in simplest form, we can divide 195 by 21 and write the quotient as a mixed number:

195 ÷ 21 = 9 with a remainder of 6

So, 195 / 21 = 9 6/21, which can be simplified to 9 2/7.

Therefore, 2 1/7 x 4.3 (repeating the three) as a mixed number in simplest form is 9 2/7.

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the dimensions of a rectangular prism are shown on the map below. which of the following is closest to the total surface area of the figure?
How do you solve and set up?

Answers

The total surface area of the figure shown as a rectangular prism is 208. 6 cm

How to determine the total surface area

The formula for calculating the total surface area of a rectangular prism is expressed as;

TSA =  2 (lh +wh + lw )

Such that the parameters are;

l is the lengthw is the widthh is the height

Now, substitute the values, we have;

TSA = 2(2(9) + 7.9(9) + 2(7.6)

expand the bracket, we have;

TSA = 2(18 + 71.1 + 15.2)

add the values

TSA = 2(104. 3)

TSA = 208. 6

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The floors and walls of gerald's attic form an equilateral triangle what is the approximate height h of the attic?

Answers

if one side of triangle is approximately 10 feet, the height of the attic is approximately 8.66 feet.

To find the height h of an equilateral triangle, we need to know the length of one of its sides. However, this information is not given in the question.

We can use the Pythagorean theorem to find an approximate value of h. Let's assume that the length of one side of the equilateral triangle is 10 feet (this is just an arbitrary value for illustration purposes).

Then, the height h can be found using the formula:

h = √(10² - (10/2)²)

h = √(100 - 25)

h = √75

h ≈ 8.66 feet

So, if one side of the equilateral triangle is approximately 10 feet, the height of the attic is approximately 8.66 feet. However, if the length of the side is different, the height will also be different.

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Joshua is building a model airplane that measures 45 inches. The measurements of the model can vary by as much as 0. 5 inches.



PART 2: Solve the equation to find the minimum and maximum measurements. Round to the nearest tenth if necessary

Answers

The minimum and maximum measurements taken by Joshua is 44.5 inches and 45.5 inches, under the condition that Joshua is building a model airplane that measures 45 inches.


Now in order to find the scale factor necessary to find the minimum and maximum measurements of Joshua's model airplane, we have to apply the given information.
The given information include that the difference in measurements of the model vary by 0. 5 inches.
Therefore,
Minimum measurement = 45 - 0.5 = 44.5 inches
Maximum measurement = 45 + 0.5 = 45.5 inches

Hence, the minimum measurement is 44.5 inches and the maximum measurement is 45.5 inches.

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What is the image of the point (-3,8) after a rotation of 180 counterclockwise about the origin

Answers

The image of point (-3, 8) after a rotation of 180 counterclockwise about the origin is (3, -8)

What is transformation?

Transformation is the movement of a point in the coordinate plane from one location to another. Transformation can either be reflection, rotation, translation and dilation.

Rotation is the flipping of a figure about a point in the coordinate plane; this point of rotation is usually origin.

(x, y) → (-x, -y) represents a rotation 180° counterclockwise.

The image of point (-3, 8) after a rotation of 180 counterclockwise about the origin is (3, -8)

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If the vertex of a parabola is at (5,0) and it opens UPWARD, it will have __________ solutions.



two


one


no


infinite

Answers

If the vertex of a parabola is at (5,0) and it opens UPWARD, it will have one solution.

Since the parabola opens upward, its vertex is the minimum point, and therefore, it will have only one solution.

A parabola is a U-shaped curve in mathematics that can be formed by the graph of a quadratic function. It is a type of conic section, along with circles, ellipses, and hyperbolas.

Mathematically, a parabola can be defined as the set of all points in a plane that are equidistant from a fixed point called the focus and a fixed line called the directrix. The focus lies on the axis of symmetry of the parabola, and the directrix is perpendicular to the axis of symmetry.

If the vertex of a parabola is at (5,0) and it opens UPWARD, it will have one solution.

Your answer: one

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