Parallelogram A B C D has coordinates A(2,-1), B(4,3) , C(1,5) , and D(-1,1) . Write a matrix for the vertices after each transformation.

A dilation by a factor of 2/3.

Answers

Answer 1

After applying a dilation by a factor of 2/3 to parallelogram ABCD with coordinates A(2,-1), B(4,3), C(1,5), and D(-1,1), the matrix for the vertices of the transformed parallelogram is:

A' = (4/3, -2/3)

B' = (8/3, 2)

C' = (2/3, 10/3)

D' = (-2/3, 2/3)

To apply a dilation to a figure, each coordinate of the figure is multiplied by the scaling factor. In this case, the scaling factor is 2/3.

To find the transformed coordinates, we multiply each coordinate of the original parallelogram by 2/3.

For point A(2, -1):

A' = (2 * 2/3, -1 * 2/3) = (4/3, -2/3)

For point B(4, 3):

B' = (4 * 2/3, 3 * 2/3) = (8/3, 2)

For point C(1, 5):

C' = (1 * 2/3, 5 * 2/3) = (2/3, 10/3)

For point D(-1, 1):

D' = (-1 * 2/3, 1 * 2/3) = (-2/3, 2/3)

Therefore, the matrix for the vertices of the parallelogram after the dilation by a factor of 2/3 is:

A' = (4/3, -2/3)

B' = (8/3, 2)

C' = (2/3, 10/3)

D' = (-2/3, 2/3)

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Related Questions

FILL IN THE BLANK. __________ is the amount of effort (usually in hours) required to perform cryptanalysis to decode an encrypted message when the key or algorithm (or both) are unknown.

Answers

Work factor is the amount of effort (usually in hours) required to perform cryptanalysis to decode an encrypted message when the key or algorithm (or both) are unknown.

Work factor refers to the estimate of the effort or time required by a potential perpetrator, with specified expertise and resources, to overcome a protective measure. In cryptography or cryptanalysis, a work factor refers to the amount of effort which is generally measured in units of time which is required to break down a cryptosystem. The work factor of a cryptosystem is linked to its key-length and the working mechanism used (encryption and decryption algorithms).

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Suppose that, in an alternate universe, the possible values of m
l

are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?

Answers

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Answers

Answer:

x = 10% saline solution = 190 mililiters

y = 60% saline solution = 10 mililiters

Step-by-step explanation:

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Let

x = 10% saline solution

y = 60% saline solution

x + y = 200

x = 200 - y

10% × x + 60% × y = 200 × 12.5 %

Hence:.0.1x + 0.6y = 25

Substituting 200 - y for x

0.1(200 - y) + 0.6y = 25

20 - 0.1y + 0.6y = 25

- 0.1y + 0.6y = 25 - 20

0.5y = 5

y = 5/0.5

y = 10 milliliters

Solving for x

x = 200 - y

x = 200 - 10

x = 190 mililiters

where the mathematicians at ☺️

where the mathematicians at

Answers

Answer:

C.            

Step-by-step explanation:

It is correct because the line on the graph goes up (increases) then it goes back down (decreases)

Answer:

The graph increases, then decreases

Step-by-step explanation:

The graph goes up, showing it increases, then drops down, showing it decreases.

Hope this helps!

Confused. Can someone help solve?

Confused. Can someone help solve?
Confused. Can someone help solve?

Answers

The boundaries that satisfy the Empirical Rule for this situation are:

Lower boundary (μ-30) = 6.4Lower boundary (μ-20) = 8.4Mean (μ) = 12.4Upper boundary (μ+20) = 16.4Upper boundary (μ+30) = 18.4

To apply the Empirical Rule, we need to consider the mean (μ) and the standard deviation (σ) of the data.

Given:

Mean weight of bags (μ) = 12.4 ounces

Standard deviation (σ) = 0.2 ounces

According to the Empirical Rule, for a normal distribution:

Approximately 68% of the data falls within 1 standard deviation of the mean.Approximately 95% of the data falls within 2 standard deviations of the mean.Approximately 99.7% of the data falls within 3 standard deviations of the mean.

So, Lower boundary (μ-30):

μ - 30 x σ = 12.4 - 30 x 0.2

= 12.4 - 6

= 6.4

Lower boundary (μ-20):

μ - 20 x σ

= 12.4 - 20 x 0.2

= 12.4 - 4

= 8.4

Mean (μ):

The mean is already given as μ = 12.4

Upper boundary (μ+20):

μ + 20 x σ

= 12.4 + 20 x 0.2

= 12.4 + 4

= 16.4

Upper boundary (μ+30):

μ + 30 x σ

= 12.4 + 30 x 0.2

= 12.4 + 6

= 18.4

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help plsssssssssssssssssssssss again

help plsssssssssssssssssssssss again

Answers

Answer:

35 degrees

Step-by-step explanation:

The lower quartile is the most left point of the box but not all the way to the whiskers

Which table is a linear function?

Which table is a linear function?

Answers

A is the linear function :)

On a certain hot​ summer's day, 133 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 270.75 How many children and how many adults swam at the public pool that​ day?

Answers

That day the number of adults was 95 and the number of children was 38

How many children and how many adults swam at the public pool that​ day?

Let's define the variables:

x = number of adults.

y = number of children.

We know that 133 people used the public swimming pool. then we can write:

x + y = 133

We also know that the receipts for admission totaled 270.75, then we can write other equation as:

2.25x + 1.5y = 270.75

Then the system of equations is:

x + y = 133

2.25x + 1.5y = 270.75

In the first equation we can isolate x to get:

y = 133 - x

Now replace that in the other equation to get:

2.25x + 1.5*(133 - x) = 270.75

0.75x + 199.5 = 270.75

0.75x = 270.75 - 199.5

x = 71.25/0.75 = 95

Then the value of y is:

y = 133 - 95 = 38

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Cool Down: A Pot of Water
The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove
t minutes after the stove is turned on. After 30 minutes, the pot is taken off the stove.

Cool Down: A Pot of WaterThe function W gives the temperature, in degrees Fahrenheit, of a pot of water

Answers

The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range.

What is domain and range ?

You may recall this by saying "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" stand for "left to right," "R" stands for "range," and "B" and "T" stand for "bottom to top," and "R" stands for "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.

Between the minimum and greatest value are the numbers that make up the range. The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range. The collection of values that can be plugged into a function's domain are called its parameters.

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Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].

You may remind yourself of this by repeating "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" are "left to right," "R" is "range," "B" and "T" are "bottom to top," and "R" is "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.

1. The numbers that make up the range lie between the lowest and highest value. Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].

The set of values that can be plugged into the domain of a function is referred to as its parameters.

Thus, the range would be [75,212] because the lowest Y value is 75 and the maximum is somewhere around 212.5.

2. The set of all temperatures that the water can attain is the function's range. The temperature of the water rises quickly at first, then more gradually, and after 30 minutes, it levels off and stops rising altogether, as shown by the graph.

As a result, the range of the function is a range of temperatures, beginning at the water's initial temperature and ending at the water's highest temperature.

3. The time at which the water reaches a temperature of 0 degrees Fahrenheit is represented by the equation W(t) = 0. We can observe from the provided graph that the water temperature rises quickly at first and subsequently more gradually.

The water is therefore unlikely to ever reach a temperature of 0 degrees Fahrenheit. As a result, W(t) = 0 cannot be solved.

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I need help with this question

I need help with this question

Answers

The correct equation for finding the value of d and the the distance between the sun and star is,

⇒ d = x cosФ

Given that;

Diagram for finding the distance between the sun and star.

Let us assume that, the distance between the sun and star is x

Now, We can formulate;

⇒ cos Ф = d / x

⇒ d = x cosФ

Therefore, The correct equation for finding the value of d and the the distance between the sun and star is,

⇒ d = x cosФ

Thus, Correct equation is,

⇒ d = x cosФ

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Alexa is going to an amusement park. The price of mission into the park is $35, and once she is inside the park, she will have to pay $4 for every ride she rides on. How much money would Alexa have to pay in total if she goes on 10 rides? How much would she have to pay if she
goes on r rides?

Answers

Alexa would have to pay a total of $75 if she goes on 10 rides at the amusement park. She would have to pay 35 + 4n if she goes on r rides.

If Alexa goes on 10 rides at the amusement park, she would have to pay:

35 (price of admission) + 10 * 4 (price of 10 rides)

= $35 + $40

= $75

If Alexa decides to go on 'n' rides at the amusement park, the total cost for her would be:

35 (price of admission) + n * 4 (price of n rides)

= $35 + $4n

To find out how many rides does Alexa need to go on to keep her total cost under $75, we can set up the inequality:

35 + 4n < 75

Subtracting 35 from both sides, we get:

4n < 40

Dividing by 4 on both sides, we get:

n < 10

Therefore, Alexa can go on 9 rides or less to keep her total cost under $75.

In general, the total cost that Alexa would need to pay for admission and 'n' rides at the amusement park is given by the function:

C(n) = 35 + 4n

where n is the number of rides, and C(n) is the total cost that Alexa would need to pay.

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is the relashionship between the number of slices of salami in a sandwhich and the number of calories proportional? why?

Answers

Answer:

The number of slices of salami and the number of calories are not proportional. Step-by-step explanation: we know that. A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or . In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Step-by-step explanation:

help me find the answer​

help me find the answer

Answers

Answer:

y = -1/5x

Explanation:

I'm sure you're already familiar with the slope intercept formula (y=mx+b), where m is slope and b is y-intercept.

Well, in case you were wondering, the reason why b isn't present in this equation is because you can't have a positive or negative 0, so it's better to leave it blank instead.

If you want to get more technical, the answer is

y = -100/500x , but y = -1/5 is essentially the same thing, and it's in its simplest form.

Hope this makes sense :)

Also I'm 3 brainliest points away from my goal, if this explanation helped you, could you be a friend and mark me brainliest please? It'd be much appreciated.

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Answers

Answer:

i'd say it's "a" cause if I solve it for Zero I get x= 3, - 4 so x must bi bigger or equal 3

An equilateral triangle is similar to a scalene triangle.1) Always2) never3) sometimes

Answers

Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.

If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.

In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.

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A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line?

○ -9
○ -3
○ 3
○ 9​

A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line? -9 -3 3 9

Answers

After plugging in the points into the formula y2-y1/x2-x1, you’ll find that the slope is 3 or 3/1. Slope is written as rise over run. Using this information, you’ll see that the y-intercept is (0,-9). Hopefully I’m right and hopefully this helps!

Answer: -9

The joint probability density function of random variables X and Y is given by f(x,y) ={10xy^2 0≤x≤y≤1,0 otherwise.
(a) Compute the conditional probability fX|Y(x|y).
(b) Compute E(Y) and P(Y >1/2).
(c) Let W=X/Y. Compute the density function of W.
(d) Are X and Y independent? Justify briefly.

Answers

The required answers are:

a. The conditional probability density function is \(f_{X|Y}(x|y) = (10xy^2) / (5y^2 - 5y^4)\)

b. The probability density function over the range of Y (E(Y)) is  and probability density function of Y is 47/96.

c. The density function of W is \(f_w(w) = (10w)/9\)

d. X and Y are dependent.

To compute the conditional probability \(f_{X|Y}(x|y)\), the formula for conditional probability density function:

\(f_{X|Y}(x|y) = f(x,y) / f_Y(y)\)

To find \(f_Y(y)\), integrate \(f(x,y)\) over the range of x:

\(f_Y(y) = \int_y^1 {10xy^2} \,dx\)

\(= 10y^2 \int_y^1 {x} \,dx\)

\(= 10y^2 [(1/2)x^2] |_y^1\)

\(= 10y^2 [(1/2)(1)^2 - (1/2)(y)^2]\)

\(= 10y^2 [(1/2) - (1/2)y^2]\)

\(= 5y^2 - 5y^4\)

Substitute f(x,y) and fY(y) into the formula for conditional probability density function:

\(f_{X|Y}(x|y) = (10xy^2) / (5y^2 - 5y^4)\)

Therefore, the conditional probability density function:

\(f_{X|Y}(x|y) = (10xy^2) / (5y^2 - 5y^4)\)

(b) To compute E(Y), we integrate Y multiplied by its probability density function over the range of Y:

\(E(Y) = \int_0^1 {y(5y^2 - 5y^4)}\, dy\)

\(= 5 \int_0^1{y^3 - y^5}\, dy\)

\(= 5 [(1/4)y^4 - (1/6)y^6] [0,1]\)

\(= 5 [(1/4)(1)^4 - (1/6)(1)^6 - (1/4)(0)^4 + (1/6)(0)^6]\)

\(= 5 [(1/4) - (1/6)]\)

\(= 5 [(3/12) - (2/12)]\)

\(= 5 (1/12)\)

\(= 5/12\)

To compute P(Y > 1/2), we integrate the probability density function of Y over the range where Y > 1/2:

\(P(Y > 1/2) = \int_{1/2}^1 {5y^2 - 5y^4}\, dy\)

\(= [(5/3)y^3 - (5/5)y^5] |_{1/2}^1\)

\(= [(5/3)(1)^3 - (5/5)(1)^5 - (5/3)(1/2)^3 + (5/5)(1/2)^5]\)

\(= (5/3) - (5/5) - (5/3)(1/8) + (5/5)(1/32)\)

\(= 5/3 - 1 - 5/24 + 1/32\)

\(= 160/96 - 96/96 - 20/96 + 3/96\)

\(= 47/96\)

Therefore, the probability density function over the range of Y (E(Y)) is  and probability density function of Y is 47/96.

(c) To find the density function of W, we need to determine the cumulative distribution function (CDF) of W and differentiate it with respect to W.

First, let's find the CDF of W:

\(F_w(w) = P(W \leq w) = P(X/Y \leq w)\)

\(= P(X \leq wY) = \int_0^1{\int_{wy}^y f(x,y) \,dx }\,dy\)

Split the integration into two cases: when \(0 \leq x \leq wY\) and when \(wY \leq x \leq y\):

\(F_w(w) = \int^1_0{ \int^{wy}_0 {10xy^2} \, dx} \,dy + \int^1_0{\int^y_{wy}{10xy^2}\, dx} \,dy\)

\(= \int^1_0 {5x^2y^3}| ^{wy}_0\, dy + \int^{1}_0}{5x^2y^3}| ^{wy}_y\, dy\)

\(= \int^1_0 {5(wy)^2y^3} \,dy + \int^1_0{5x^2y^3}|^ {wy}_y\, dy\)

\(= 5w^2 \int_0^1 {y^5} \,dy + 5 \int_0^1{ x^2y^3}|^ {wy}_y\, dy\)

\(= 5w^2 [(1/6)y^6] |_0^1 + 5[ {[(1/3)x^2y^4]|_ {wy}^y}|] _0^1\)

\(= (5w^2)(1/6)(1^6 - 0^6) + (5/3) [(1/3)x^2(y^5)] |_0^1\)

\(= (5w^2)/6 + (5/3) (1/3)(1^2)(1^5 - 0^5)\)

\(= (5w^2)/6 + (5/3) (1/3)\)

\(= (5w^2)/6 + 5/9\)

\(= (5w^2 + 10)/18\)

Now we differentiate the CDF with respect to w to obtain the density function of W:

\(f_w(w) = d/dw [(5w^2 + 10)/18]\)

\(= (10w)/9\)

Therefore, the density function of W is \(f_w(w) = (10w)/9\).

(d) To determine if X and Y are independent, we need to check if the joint probability density function \(f(x,y)\) can be factored into the product of the marginal probability density functions of X and Y.

\(f(x,y) = 10xy^2\)

The marginal probability density function of X is obtained by integrating f(x,y) with respect to y over the entire range of y:

\(f_X(y) = \int\limits^x_1}{10xy^2} \,dx\)

\(= (10/3)x(1 - x^3)\)

The marginal probability density function of Y is obtained by integrating \(f(x,y)\) with respect to x over the entire range of x:

\(f_Y(y) = \int\limits^y_0}{10xy^2} \,dy\)

=\((10/3)y^4\)

To check if X and Y are independent, look if f(x,y) can be expressed as the product of  \(f_X(x)\)and \(f_Y(y).\) Let's multiply\(f_X(x)\) and \(f_Y(y)\):

\(f_X(x) * f_Y(y) = ((10/3)*(1 - x^3)) * ((10/3)y^4)\)

= \((100/9)xy^4(1 - x^3)\)

Comparing this to \(f(x,y)\), look that \(f(x,y)\)  and \(f_X(x)\) x \(f_Y(y)\) are not equal, indicating that X and Y are not independent.

Therefore, X and Y are dependent.

Hence, the required answers are:

a. The conditional probability density function is \(f_{X|Y}(x|y) = (10xy^2) / (5y^2 - 5y^4)\)

b. The probability density function over the range of Y (E(Y)) is  and probability density function of Y is 47/96.

c. The density function of W is \(f_w(w) = (10w)/9\)

d. X and Y are dependent.

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which of the pairs of events below is dependent? select the correct answer below: drawing a 2 and drawing a 4 with replacement from a standard deck of cards rolling two 4's from two rolls of a standard die drawing a heart and drawing another heart with replacement from a standard deck of cards drawing a face card and then drawing a 3 without replacement from a standard deck of cards

Answers

A dependent event is one in which the outcome of the first event affects the probability of the second event. In the given options, the pair of events that is dependent is "drawing a face card and then drawing a 3 without replacement from a standard deck of cards. So the correct option is D.

" This is because the probability of drawing a 3 without replacement is affected by whether or not a face card was drawn in the first selection. If a face card was drawn, then there are fewer face cards left in the deck, which reduces the probability of drawing a face card and a 3. Therefore, these two events are dependent on each other.

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consider a standard deck of 52 cards. suppose you draw 2 cards without replacement. what is the probability that the second one is a king given the first card is not a king?

Answers

The probability that the second card is a king given that the first card is not a king is 4/51.

This is because there are 4 kings in the deck and 51 cards left after the first card is drawn that are not kings.

To understand this problem, we need to use conditional probability. The event that the first card is not a king is our condition and we want to find the probability that the second card is a king given this condition. We know that there are 4 kings in the deck & 51 cards left after the first card is drawn that are not kings.. So the probability that the second card is a king given that the first card is not a king is 4/51.

The order in which the cards are drawn does not matter since we are not replacing the first card.

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What is 10/3(fraction) times 6/5(fraction)

Answers

Answer:

4

Step-by-step explanation:

When multiplying those fractions, you multiply the top (numerators) by each other and you'll get 60

Then when you divide the denominators you'll get 15.

60 divided by 15 is 4.

10/3 x 6/5 = 4

Step-by-step explanation:

You multiply the numerators together, same with the denominator. You get 60/15. You divide those numbers so you get 4 as your answer. Hope this helps!

Which of the following statements is true about comparing a Short-Term Aggregate Supply Curve and a traditional Supply Curve? A. Prices do not change in both curves. B. There are no similarities. C. The curves are an inverse to each other. D. Both Average Price Level (price) and Real Output (quantity) change along the curve.​

Which of the following statements is true about comparing a Short-Term Aggregate Supply Curve and a traditional

Answers

Answer:

Step-by-step explanation:

the answer is d

A. prices do not change in both curve is wrong cause there is a slope so the average price level and prices could change

B. is not right cause when you compare the two different graph they seem similar so there is similarity between the two

C. there not inverse cause the demand slope and the aggregate supply curve are the same positive slope/

D. is the correct answer

what type of rank 8 spell is granted to death students at level 58?

Answers

The Death students in Wizard101 are granted with the Scarecrow spell as their rank 8 spell at level 58.What is Scarecrow? Scarecrow is a rank 8 spell that is only granted to Death wizards. This spell deals 530-610 damage to all enemies and gives the player half of that damage back as health.

It also costs 7 pips to cast, making it a powerful spell that can help the wizard defeat multiple enemies at once. Scarecrow's damage output, as well as its healing effects, make it an excellent choice for Death wizards who are soloing the game or facing multiple enemies in a battle. Its main weakness is its high pip cost, which can make it difficult to cast in the early stages of a battle when the wizard may not have accumulated enough pips yet to cast it. Nonetheless, Scarecrow is a powerful and useful spell that can help Death wizards survive tough battles.The Scarecrow spell is not only exclusive to Death students but also a prized possession of some of the toughest bosses and enemies in the game. For example, Malistaire the Undying, one of the most difficult bosses in the game, uses Scarecrow as one of his main spells, making it an even more coveted and powerful spell for Death wizards to have in their arsenal.

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f(x) = x2 – 2x + 5
.
What is the value of f(12) ?
f(12) =

Answers

The value of f(12) is 5, f(12)=5

Gina is making bags of trail mix for hiking club. She will use 20 ounces of walnuts, 11.2 ounces of almonds, and 28.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

Step-by-step explanation:

20 oz walnuts = 20/25 = 0.8 ounces of walnuts per bag. / bag

11.2 oz of almonds = 11.2 / 25 = 0.448 ounces of almonds / bag

28.3 oz of cashews = 28.3 / 25 = 1.132 oz of cashews / bag

Dilations _____________.

1) are rigid motions because size and shape is preserved

2) are not rigid motions even though shape is preserved because size is not preserved

Answers

Answer:

I think the answer is

the second one

10. Let g(x) be a differentiable function for which g'(x) > 0 and g"(x) < 0 for all values of x. It is known that
g(3) = 2 and g(4) = 7. Which of the following is a possible value for g(5)? (A) 10 (B) 12 (C) 14 (D) 16

Answers

The only answer choice that is greater than 7 is (D) 16. Therefore, g(5) could be 16.

Since g'(x) > 0 for all x, g(x) is an increasing function. Also, since g"(x) < 0 for all x, g(x) is a concave down function.

Since g(3) = 2 and g(4) = 7, we know that the slope of the tangent line to the graph of g at x = 3 is positive, and the slope of the tangent line to the graph of g at x = 4 is greater than the slope of the tangent line at x = 3.

Therefore, we can conclude that g(5) > g(4) + (5-4)g'(4) = 7 + g'(4)

Since g'(x) > 0 for all x, we know that g'(4) > 0. Therefore, we can conclude that g(5) > 7.

The only answer choice that is greater than 7 is (D) 16. Therefore, g(5) could be 16.

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Use the Venn diagram to calculate probabilities.

Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.

Which probabilities are correct? Select two options.

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Help I dont understand the Problem

Help I dont understand the Problem

Answers

Mode is the answers that occurs the most frequently in a data set. So it’s 3-4 inches.

How would you begin to plot the ordered pair ( 6,2)?

Answers

To graph a point you have a coordinate plane or graph not theirs a x axis with is a like going left to right and a y axis, a line starting up to down. I remember using the saying “run before you jump” meaning you run first starting at your origin(0,0). In this case your first number is 6 for which you would run until you’re at 6 on the x axis line or the line going left to right then jump to straight up because it’s a positive number. Because you’re jumping up you’re going to jump 2 on the y axis line or the line going up and down. Your point doesn’t need to be exactly on either line. Remember your first coordinate or number is the number you run with and the second the one you jump with

What is 4 9/29 + 6 5/58 ?

Answers

Answer:

it 10 23/58

Step-by-step explanation:

i need to learn more and pay attention

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