A rectangle with length n is inscribed in a circle of radius 9. Find an expression for the area of the rectangle in terms of n

Answers

Answer 1

Using pythagorean theorem the area of the rectangle in terms of n is given by A = n√(324 - n^2).

In the given scenario, we have a circle with a diameter that is twice the length of the radius, which is stated as 18. The diagonal of the rectangle is also the diameter of the circle, so it measures 18. Let's assume the width of the rectangle as 'w'. By applying the Pythagorean theorem, we can establish the following relationship:\(n^2 + w^2 = 18^2\) = 324, where 'n' represents the length of the rectangle.

To solve for 'w', we rearrange the equation: \(w^2 = 324 - n^2.\) This equation allows us to calculate the width 'w' of the rectangle when we know the length 'n'.

The area of the rectangle, denoted as 'A', is given by the formula A = nw, where 'n' is the length and 'w' is the width of the rectangle. By substituting the expression for w^2, we obtain: A =\(n\sqrt(324 - n^2).\)

This equation represents the relationship between the length 'n' and the area 'A' of the rectangle, taking into account the given information about the diameter of the circle, which is also the diagonal of the rectangle. By solving for 'n' and substituting it into the formula, we can determine the area of the rectangle.

Let the width of the rectangle be w, then by the Pythagorean theorem, we have:

\(n^2 + w^2 = 18^2\) = 324

Solving for w, we get: \(w^2 = 324 - n^2\)

The area of the rectangle is given by:

A = nw

Substituting the expression for w^2, we get:

A =\(n\sqrt(324 - n^2)\)

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Related Questions

FILL THE BLANK. a ____ diagram is used to describe the wiring details of a specific piece of equipment.

Answers

A schematic diagram is used to describe the wiring details of a specific piece of equipment.

A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.

It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.

In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.

The connections between these components are illustrated using lines that indicate the flow of electrical current.

Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.

They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.

Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.

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Please answer now correct answer fast

Please answer now correct answer fast

Answers

Answer:

\( Area = 112.1 m^2 \)

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

\( \frac{w}{sin(W)} = \frac{x}{sin(X)} \)

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

\( \frac{w}{sin(24)} = \frac{31}{sin(130)} \)

Multiply both sides by sin(24) to solve for x

\( \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) \)

\( w = \frac{31*sin(24)}{sin(130)} \)

\( w = 16.5 mm \) (approximated)

\( XY = w = 16.5 mm \)

Find the area of ∆WXY

\( area = \frac{1}{2}*w*x*sin(Y) \)

\( = \frac{1}{2}*16.5*31*sin(26) \)

\( = \frac{16.5*31*sin(26)}{2} \)

\( Area = 112.1 m^2 \) (to nearest tenth).

what is the slope of the line graphed below? (3,3) (0,-6)

Answers

Answer:

Where is the line

Step-by-step explanation:

Answer:

The slope of the lines is 3.

Step-by-step explanation:

Since I can't actually graph it, we can make a table

x      y

3      3

0     -6

From 3 to -6, you subtract 9 (for the y section)

From 3 to 0, you subtract 3 (for the x section)

Now all you need to do is divide y by x

y/x = -9/-3 = 3

It's a positive 3, because two negatives times each other will always result in a positive.

Slope = 3

Hope this helped!

Have a supercalifragilisticexpialidocious day!

I will give you 30 points

I will give you 30 points

Answers

1. Three examples of situations where consistency is important:

HealthcareFinancial transactionsSports Rules

How do these portray consistency?

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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1. Write an equation for a line that has a slope of 4 and passes
through the point (-4, 7).
a) y = 4x + 23
b) y = 4x + 10
c) y = 4x + 17
d) y = 4x - 11
Please help I beg you

Answers

Answer:

y = 4x+23

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point into the equation

7 = 4(-4)+b

7 = -16+b

Add 16 to each side

7+16 = b

23 = b

y = 4x+23

The map shows the location of four places in a city:

Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.
Jade's house is in the same quadrant as the museum. Which of the following could be the coordinates of Jade's house? (5 points)

(3, 4)
(−3, 4)
(3, −4)
(−3, −4)
WIll Mark Brainlest

Answers

Answer:

(3, -4)

Step-by-step explanation:

In Q1, both x and y coordinates are positive

In Q2, x is negative while y is positive

In Q3, both x and y coordinates are negative

In Q4, x is positive while y is negative

The museum is (2, -5) which means it is in Quadrant 4 which means the only point it could be from the provided is (3, -4) since it matches x being positive and y being negative.

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
(a)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic. (Round your answer to two decimal places.)

Answers

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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The diagram shows two right-angled triangles that share a common side. 6 10. Show that x is between 11 and 12.​

The diagram shows two right-angled triangles that share a common side. 6 10. Show that x is between 11

Answers

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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If the answer is right for my question you get brainilest!!!

If the answer is right for my question you get brainilest!!!

Answers

Answer:hello

Step-by-step explanation:

HE:LPPP

5 divided by -3

Answers

Answer:

-5/3

Step-by-step explanation:

5 ➗ -3

=> 5/-3

=> -5/3 or -1.66667

5 divided by -3=1.666666666666667

Plsss help me I will make you as brain

Plsss help me I will make you as brain

Answers

Answer:

x = 4

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (4, 0 ) with x- coordinate 4 , then

x = 4 ← equation of line

The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Triangle A B C. Side A C is 14 centimeters, A B is 12 centimeters, and B C is 6 centimeters. Which similarity statement expresses the relationship between the two triangles? Triangle Z Y X is similar to triangle C A B Triangle Z Y X is similar to triangle A C B Triangle Z Y X is similar to triangle C B A Triangle Z Y X is similar to triangle A B C Mark this and return

Answers

Answer:

  (c)  Triangle Z Y X is similar to triangle C B A

Step-by-step explanation:

Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.

__

corresponding sides

The side lengths, smallest to largest, for the two triangles are ...

3 cm -- ZY6 cm -- YX7 cm -- XZ

And for the other triangle, ...

6 cm -- BC12 cm -- AB14 cm -- ACcorresponding vertices

The points joining the each side to the next one longer, in order for the two triangles, are ...

  Y, X, Z  and  B, A, C

The vertices corresponding to ZYX in the same order are CBA.

  triangle ZYX is similar to triangle CBA

Answer:

The answer is C

Step-by-step explanation:

MY NOTES ASK YOUR TEACHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter NONE In any unused answer blanks.) fx, y)-8-2x+4y-²-4² maximum " (smaller x value) (larger x value) " minimum " (smaller x value) " (larger a value) saddle points Submit Answer ) (smallest x value) ) (largest x value)

Answers

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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Let X and Y be two uniformly distributed random variables over [0,1). Find the probability P [X² +Y²

Answers

The probability P[X² + Y² < 1] is equal to π/4.

To find the probability P[X² + Y² < 1], we need to consider the geometric interpretation of the inequality. The inequality X² + Y² < 1 represents the interior of the unit circle centered at (0,0) in the xy-plane.

Since X and Y are uniformly distributed random variables over [0,1), their joint distribution forms a square with side length 1. The area of this square is 1*1 = 1.

To find the probability of the event X² + Y² < 1, we need to determine the area of the region that satisfies this condition. This region is the interior of the unit circle.

The area of a unit circle with radius 1 is πr² = π(1)² = π.

Therefore, the probability P[X² + Y² < 1] is equal to the area of the unit circle divided by the total area of the square, which is π/1 = π.

Hence, the probability P[X² + Y² < 1] is equal to π/4, as π is the area of the unit circle and 4 is the area of the square.

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Determine the area and perimeter of the figure below. Note that each square is 1 unit in length.

Determine the area and perimeter of the figure below. Note that each square is 1 unit in length.

Answers

Answer:

area = 127\(units^{2}\)

perimeter = 46 units

Step-by-step explanation:

count them

Victor needs to raise $1500 to travel to Spain with his class. He sells magazine subscriptions for $25 each. Which inequality shows how many magazine
subscriptions, m, Victor must sell to earn enough money for his trip?

Answers

25x is greater than or equal to 1500. the symbol would be a greater than symbol with a line under it

Patty got a robotics kit for her birthday. She is building a laundry robot that can take out herclothes from the dryer and fold them. She has some of it complete, but the robot still needs 3arms and 6 wheels. Patty has saved up $68, which is enough to buy the parts she needs. Shelooks at a robotics catalog to see how much it will cost.CostArms$13Wheels$4How much money is left over after Patty buys the parts?

Answers

We know that:

- She has some of it complete, but the robot still needs 3 arms and 6 wheels.

- Patty has saved up $68, which is enough to buy the parts she needs.

- Arms costs $13 and wheels costs $4

We must find how much money is left after making the purchase.

To find it we must subtract the money spent on the purchase from the money saved.

- money spent:

Is the money spent when she buys the arms and the wheels

\(\text{ \$}13\cdot3+\text{ \$}4\cdot6=\text{ \$}63\)

So, the money spent is equal to $63

- money saved

Is the money Patty has saved.

Patty has saved up $68.

Finally, subtracting the money spent on the purchase from the money saved

\(\text{ \$}68-\text{ \$}63=\text{ \$}5\)

ANSWER:

After Patty buys the parts, $5 is left.

To divide 572 Stanley estimated to place the first digit of the quotient in which place is the first digit of the quotient?

Answers

Answer:

its about estimation, so we don't need to divide.

so let's round up the number to see it more

clearly:

572 can be rounded up to 600, let's leave 4 as it

is, since it's just one digit.

we see that 6 is bigger than 4, so the result will

look like this 1xx

so we see,

it will be at leasta 100, and the first

digit will be in the hundred's place that's the

Correct answer!

Answer the questions below Alex loves golf. He has kept track of his last 10 shots for 4 different clubs. He wrote down the distance in yards he hit each of the clubs in the table below. Pitching Wedge 7 Iron 3 Iron Driver 1 2 3 4 5 132 143 137 24 134 164 161 237 168 163 198 204 193 198 199 298 293 315 307 322 a) Calculate the mean distance for the four clubs Alex used? Pitching Wedge Mean b) Calculate the median distance for the four clubs Alex used? c) Calculate the mode of each club. 6 136 164 209 299 Mode Median Pitching Wedge Pitching Wedge 7 Iron 3 Iron 7 8 9 132 130 133 168 164 158 42 201 198 303 314 52 7 Iron 3 Iron 604301 7 Iron Driver 3 Iron d) Look for some outliers in the data. What could have caused these outliers? 10 132 153 198 311 Driver Driver e) To calculate the average distance of all four clubs combined, find the mean of the medians for each club.​

Answer the questions below Alex loves golf. He has kept track of his last 10 shots for 4 different clubs.

Answers

a) The mean distance for the four clubs Alex used, Pitching Wedge Mean is 133.5

b) The median distance for the four clubs Alex used are:

Pitching Wedge Median: 136

7 Iron Median: 164

3 Iron Median: 298

Driver Median: 42

c) The mode of each club. 6 136 164 209 299 Mode Median are:

Pitching Wedge Mode: N/A (no value is repeated)

7 Iron Mode: N/A (no value is repeated)

3 Iron Mode: N/A (no value is repeated)

Driver Mode: N/A (no value is repeated)

How did we determine the values above?

a) Calculate the mean distance for the four clubs Alex used?

Pitching Wedge Mean: (132 + 143 + 137 + 24 + 134 + 136 + 132 + 130 + 133 + 132) / 10 = 133.5

7 Iron Mean: (164 + 161 + 237 + 168 + 164 + 164 + 158 + 201 + 198 + 153) / 10 = 176.5

3 Iron Mean: (198 + 199 + 298 + 293 + 315 + 307 + 322 + 42 + 303 + 314) / 10 = 250.5

Driver Mean: (199 + 604 + 301 + 7 + 604 + 301 + 7 + 42 + 52 + 311) / 10 = 243.2

b) Calculate the median distance for the four clubs Alex used?

Pitching Wedge Median: 136

7 Iron Median: 164

3 Iron Median: 298

Driver Median: 42

c) Calculate the mode of each club.

Pitching Wedge Mode: N/A (no value is repeated)

7 Iron Mode: N/A (no value is repeated)

3 Iron Mode: N/A (no value is repeated)

Driver Mode: N/A (no value is repeated)

d) Look for some outliers in the data. What could have caused these outliers?

Pitching Wedge: 24 yards (could be caused by a poor shot or a mistake in recording)

7 Iron: 237 yards (could be caused by a particularly good shot or a tailwind)

3 Iron: 604 and 301 yards (could be caused by a data entry error)

Driver: 604 and 301 yards (could be caused by a data entry error)

e) To calculate the average distance of all four clubs combined, find the mean of the medians for each club.

(136 + 164 + 298 + 42) / 4 = 165.25

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Solve the system by graphing.

y = 3
-x + 2y = 12

Answers

Answer:

Here, I attached a graph of the two equations! :)

The solution is (-6, 3)

Hope this helps!! :)

Solve the system by graphing.y = 3-x + 2y = 12

E.) You're bicycle is at home and all those cheeseburgers you've been eating has made you terribly out of shape. You decide that you'll take a taxi to deliver the bad news about Loki. Assuming that a taxi costs 20 cents per tenth of a mile, how much money will you save by going to the closer superhero? Answer and show your work on the back.

Answers

Next, you’re going to research the author. Write down notes that target specific facts about Cisneros in the box below. Your notes should be helpful in understanding her biases, experiences, and knowledge. List three well-developed ideas as opposed to three simple facts in the light blue area of the box (that will be four ideas including my sample for an “A” grade). Be sure you are not copying and pasting from a website and that your words are your own. Cite your sources by putting the author’s last name or the title of the website if there is not an author. I have an example as a model.

Sandra Cisneros was born 1954 in Chicago, USA making her 49 years old, thus she was writing about the 1960-90’s. She writes all different styles of pieces most of which are for pre-teens and teens, but she also writes for adults. She has won a lot of different writing awards throughout her life (Cisnero).

Step-by-step explanation:

57 % of 200 calculate this please

57 % of 200 calculate this please

Answers

so percentage is always out of 100

so 57%is upon 100 then it is 200 upon 1 cuz it is a whole

57% of 20057 /100×200/1114 so the ans is 114 i hope u understood it

Hey there!

57% of 200

= 57% * 200

= 57/100 * 200/1

= 0.57 * 200

= 57(200)/100(1)

= 11,400/100

= 114

Therefore, your answer is: 114

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

salik: we need two quantitative variables for this project. wouldn’t number of siblings be categorical since it is whole numbers?

Answers

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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f is an even function. a = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries 4, 5, a, 7. g is an odd function b = A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 3. Column 2 is labeled f (x) with entries b, 0, negative 3, negative 4.

Answers

The values of a and b are 4 and -3

How to solve for (a) and (b)?

To solve for a, we make use of the function f(x).

x    f(x)

2     4

0     5

2     a

3     7

Remove the x values 0 and 3

x    f(x)

2     4

2     a

The above table implies that:

f(2) = 4 and f(2) = a

Substitute 4 for f(2) in f(2) = a

4 = a

Rewrite as:

a = 4

To solve for b, we make use of the function g(x).

x    g(x)

2     b

0     0

2     -3

3     -4

Remove the x values 0 and 3

x    g(x)

2     b

2     -3

The above table implies that:

f(2) = b and f(2) = -3

Substitute -3 for f(2) in f(2) = b

-3 = b

Rewrite as:

b = -3

Hence, the values of a and b are 4 and -3

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Complete question

Use the Symmetry of a Function to Find Coordinates

f is an even function             g is an odd function

x    f(x)                                        x             g(x)

2     4                                          2              b

0     5                                          0              0

2     a                                          2              -3

3     7                                          3              -4

Find a and b

Answer:

4, 3

Step-by-step explanation:

hhhhhheeeeeelllllllllpppppp

hhhhhheeeeeelllllllllpppppp

Answers

$3.15 if I’m correct

Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12

A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.

Answers

Answer none of them it’s 12-4=8

Answer:

D.) Add 12+4

Step-by-step explanation:

I took the test on Edge 2021.

Which of the following statements is true about the functions f(x)=5x = 15 and g(x) = 1/5x-3
a.f(5) = g(5) because f(x) and g(x) are inverse functions
b.f(-5) and g(5) because f(x) and g(x) are inverse functions.
c.f(x) and g(x) are inverse functions because f(x) and g(x) have the same domain.
d.f(x) and g(x) are inverse functions because f(g)=x and g(f)=x
plzzz help me

Answers

Answer:

Step-by-step explanation:

What is the difference between stratified and cluster sampling?

Answers

Cluster- you randomly select an entire group(s) and include all units of each group into the sample

Stratified- you select some units of all groups and include them into the sample

In 2014, Congress cut $8.7 billion from the Supplemental Nutrition Assistance Program (SNAP), more commonly referred to as food stamps. The rationale for the decrease is that providing assistance to people will result in the next generation of citizens being more dependent on the government for support. Hoynes (2012) describes a study to evaluate this claim. The study examines 60,782 families over the time period of 1968 to 2009 which is subsequent to the introduction of the Food Stamp Program in 1961. This study examines the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. The study assembled data linking family background in early childhood to adult health and economic outcomes. The study concluded that the Food Stamp Program has effects decades after initial exposure. Specifically, access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and, for women, an increase in economic self-sufficiency. Overall, the results suggest substantial internal and external benefits of SNAP. a. Identify the population that is of interest to the researchers. b. Describe the sample. c. What characteristics of the population are of interest to the researchers

Answers

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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simplify √-48


-4√3

4√-3

4i√3

4√3i

Answers

Answer:

√-48=4i√3

Step-by-step explanation:

because negative number never has a real root so 1st and 2nd option r out . i^2= -1 so root and Square cuts out eachother so i should be out of the root hence option 4th is also cut out. so 3 rd is correct.

C would be the best choice for the question :)
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