please help quick please

there are 27,132 different ways to choose 13 donuts out of 19 varieties.

This problem involves selecting 13 donuts out of 19 different varieties, without regard to order. This is a combination problem, and the number of combinations of n objects taken r at a time is given by the formula:

n! / (r!(n-r)!)

Using this formula, we can find the number of ways to choose 13 donuts out of 19:

19! / (13!(19-13)!) = 19! / (13!6!) = 27,132

what is combination?

Combination refers to the mathematical concept of choosing a subset of objects from a larger set, where the order of selection is not considered. In other words, combination is a way of selecting items from a group without any regard to the order in which the items are arranged.

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The rounded area of the figure is approximately 86.9 square units.

To find the area of the figure, we need to calculate the sum of the area of the rectangle and the area of the semicircle.

Rectangle Area:

The length of the rectangle is 14 units and the width is 8 units. The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the rectangle is 14 × 8 = 112 square units.

Semicircle Area:

The semicircle is removed from one of the short sides of the rectangle. The radius of the semicircle is half the width of the rectangle, which is 8/2 = 4 units.

The area of a semicircle is given by (π × r^2) / 2, where r is the radius. Therefore, the area of the semicircle is (π × 4^2) / 2 = 8π square units.

Total Area:

Now we can calculate the total area by subtracting the area of the semicircle from the area of the rectangle:

Total Area = Rectangle Area - Semicircle Area

= 112 - 8π

To round to the nearest tenth, we need to evaluate the numerical value of π. Using an approximation of π as 3.14, we can calculate the total area:

Total Area ≈ 112 - 8 × 3.14

≈ 112 - 25.12

≈ 86.88

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Answer:

24 bandages are in each box.

Step-by-step explanation:

Hope this will help

a Probability that Upper X 0.0013 ,

b. Upper X less than 80 is 0.0228

c  Upper X less than 95 or Upper X greater than 125 is 0.6853.

d 99% of the values are between 76.7 and 123.3 (symmetrically distributed around the mean).

Given a normal distribution with mu equals 100 and sigma equals 10, we can use the cumulative standardized normal distribution table to complete the following parts:

a. What is the probability that Upper X greater than 70?
Using the cumulative standardized normal distribution table, we find the z-score for 70 as (70-100)/10 = -3. We then look up the probability for a z-score of -3, which is 0.0013. Therefore, the probability that Upper X greater than 70 is 0.0013. (Round to four decimal places as needed.)

b. What is the probability that Upper X less than 80?
Using the cumulative standardized normal distribution table, we find the z-score for 80 as (80-100)/10 = -2. We then look up the probability for a z-score of -2, which is 0.0228. Therefore, the probability that Upper X less than 80 is 0.0228. (Round to four decimal places as needed.)

c. What is the probability that Upper X less than 95 or Upper X greater than 125?
Using the cumulative standardized normal distribution table, we find the z-score for 95 as (95-100)/10 = -0.5 and the z-score for 125 as (125-100)/10 = 2.5. We then find the probabilities for each of these z-scores, which are 0.3085 and 0.0062, respectively. To find the probability that Upper X is either less than 95 or greater than 125, we add these two probabilities and subtract from 1 (to account for the overlap): 1 - (0.3085 + 0.0062) = 0.6853. Therefore, the probability that Upper X less than 95 or Upper X greater than 125 is 0.6853. (Round to four decimal places as needed.)

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?
To find the z-score corresponding to the 99th percentile, we look up the probability of 0.99 in the cumulative standardized normal distribution table, which is 2.33 (rounded to two decimal places). Using this z-score, we can find the corresponding X-values using the formula z = (X - mu)/sigma. Solving for X, we get: X = z*sigma + mu = (2.33)(10) + 100 = 123.3 and X = (-2.33)(10) + 100 = 76.7. Therefore, 99% of the values are between 76.7 and 123.3 (symmetrically distributed around the mean).

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9514 1404 393

Answer:

  sin(A) = BC/BA

Step-by-step explanation:

There is no indication in the figure posted here that triangle XYZ has any relevance to the question.

  Sin = Opposite/Hypotenuse

  sin(A) = BC/BA

__

If triangle ABC ~ triangle XYZ, then ...

  sin(A) = BC/BA = YZ/YX = 6/10 = 3/5

The probability that a single card drawn from a standard deck of cards being a jack or a heart is 4/13.

Total cards in a deck = 52

Total number of jacks = 4 (a jack per suit)

Total number of hearts = 13 (including ace and face cards)

Probability of drawing a jack from a standard deck, P(A) = 4/52

Probability of drawing a heart from a standard deck, P(B) = 13/52

Probability of drawing a jack of hearts from a standard deck, P(A∩B) = 1/52

Therefore, the probability of drawing a jack or a heart, P(A  B):

P(A∩B)=P(A)+P(B)-P(A  B)

P(A∩B)=(4/52)+(13/52)-(1/52)

P(A∩B)=16/52

P(A∩B)=4/13

Therefore, the required probability for the given criteria is 4/13.

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The percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

To calculate the percentage change in the bond's price using the duration concept, we can use the following formula:

Percentage Change in Bond Price = - (Duration * Change in Yield)

Given:

Duration = 7.29 years

Change in Yield = -0.005 (50 basis points decrease)

Using the formula, we can calculate the percentage change in the bond's price:

Percentage Change in Bond Price = - (7.29 * (-0.005))

Percentage Change in Bond Price = 0.03645

Therefore, the percentage change in the bond's price using the duration concept is approximately 0.03645, or 3.645%.

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Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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This graph represents a function Because it passes the vertical line test.

Let us first understand the Vertical Line Test.

In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.

If there exists a line that intersects the graph, we say the graph passes the vertical line test.

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

Hence this graph passes the vertical line test because there are many vertical lines that intersect it.

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Answer:

She walks 100 m in 1 minute

Step-by-step explanation:

Here, given the equation, we want to know the distance covered in a minute

From the question, the equation is;

d = 100t

so when t is 1

d = 100 * 1 = 100 m

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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Answer:

0.3332 ft³

Step-by-step explanation:

Given that:

Length and width of tank = 2 feet by 1 feet

Volume of water displaced by the stone = 2 inches

The volume of Stone :

Rise in water level * length and width of tank

Converting inches to feet :

1 inch = 0.0833 feets

2 inches = 0.0833 * 2 = 0.1666 feets

Volume of stone :

0.1666 ft * 2 ft * 1 ft

= 0.3332 ft³

Answer:

Multiplying the variables and numbers in the parentheses by the number next to them.

Step-by-step explanation:

Answer:

the least common denominator is 12

Answer:

Perimeter= 40

Area= 120.7

Step-by-step explanation:

The first 5 terms of the expression (x + 2y)^17 are 131,072y^17, 1,111,552xy^16, 4,450,048x^2 * y^15, 11,110,720x^3 * y^14, and 19,507,456x^4 * y^13.

For the expression (2x - 3y):

a. To write out the first 5 terms, we substitute values for x and y:

Term 1: (2x - 3y) when x = 1 and y = 1:

(2(1) - 3(1)) = 2 - 3 = -1.

Term 2: (2x - 3y) when x = 2 and y = 2:

(2(2) - 3(2)) = 4 - 6 = -2.

Term 3: (2x - 3y) when x = 3 and y = 3:

(2(3) - 3(3)) = 6 - 9 = -3.

Term 4: (2x - 3y) when x = 4 and y = 4:

(2(4) - 3(4)) = 8 - 12 = -4.

Term 5: (2x - 3y) when x = 5 and y = 5:

(2(5) - 3(5)) = 10 - 15 = -5.

Therefore, the first 5 terms of the expression (2x - 3y) are -1, -2, -3, -4, and -5.

b. For the expression (x + 2y)^17, we can expand it using the binomial theorem. However, since we only need the first 5 terms, let's simplify them using the binomial coefficients:

Term 1: (x + 2y)^17 when x^0 and y^17:

1 * x^0 * (2y)^17 = 1 * (2y)^17 = 2^17 * y^17 = 131,072y^17.

Term 2: (x + 2y)^17 when x^1 and y^16:

17 * x^1 * (2y)^16 = 17 * 2^16 * x * y^16 = 17 * 65,536xy^16 = 1,111,552xy^16.

Term 3: (x + 2y)^17 when x^2 and y^15:

136 * x^2 * (2y)^15 = 136 * 2^15 * x^2 * y^15 = 136 * 32,768x^2 * y^15 = 4,450,048x^2 * y^15.

Term 4: (x + 2y)^17 when x^3 and y^14:

680 * x^3 * (2y)^14 = 680 * 2^14 * x^3 * y^14 = 680 * 16,384x^3 * y^14 = 11,110,720x^3 * y^14.

Term 5: (x + 2y)^17 when x^4 and y^13:

2,380 * x^4 * (2y)^13 = 2,380 * 2^13 * x^4 * y^13 = 2,380 * 8,192x^4 * y^13 = 19,507,456x^4 * y^13.

Therefore, the first 5 terms of the expression (x + 2y)^17 are 131,072y^17, 1,111,552xy^16, 4,450,048x^2 * y^15, 11,110,720x^3 * y^14, and 19,507,456x^4 * y^13.

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Answer:

5t

Step-by-step explanation:

Since the above question which looks at a linear relationship is incomplete, we are looking at a very similar question that has the same logic and principles. In this case, after 3 minutes, the pool now has 84 gallons of water. See the explanation below.

Note that we are already given a linear equation y = 28x. This means that

We know that the equation that models the relationship between time and volume is y = 28x, where y is the volume of water in gallons and x is the time in minutes.

We are given that when the pool has 84 gallons of water, y = 84. We can plug this into the equation and solve for x:

y = 28x

84 = 28x

x = 84/28

x = 3

Therefore, it takes 3 minutes to fill the pool with 84 gallons of water.


From the picture given, one can infer that the linear equation will be y = 25x. Thus, if the expression given is y=25x,

where y is the volume of water in gallons and

x is the time in minutes,

we can follow the same steps as before to find out how many minutes it would take to fill the pool with 84 gallons of water:

y = 25x

84 = 25x

x = 84/25

The result is x = 3.36 minutes (rounded to two decimal places).

Therefore, it would take approximately 3.36 minutes to fill the pool with 84 gallons of water if the equation that models the relationship between time and volume is y=25x.

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Full Question:

The question above is incomplete. Thus, let us look at a very similar question.

Laura is throwing a pool party to kick off the summer. Her pool is empty,

so she starts filling it with water from a garden hose. There is a proportional relationship between the time Laura has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y.

The equation that models this relationship is y = 28x.

After how many minutes does the pool have 84 gallons of water in it? Write your answer as a whole number or decimal.

Answer:

∠LKN and ∠JKI

Step-by-step explanation:

   If the points like P, Q, R, S and T are collinear they will follow the segment addition postulate.

  Length of segments will be,

 PQ = 12 units

 QR = 14 units

 ST = 11 units

 PS = 43 units

 PR = 26 units

 RT = 28 units

It's given in the question,

And the lengths of different segments are,

By segment addition postulate,

PQ + QT = PT

PQ = PT - QT

PQ = 54 - 42

     = 12 units

QR + RS = QS

QR = QS - RS

     = 31 - 17 = 14 units

ST = QT - QS

     = 42 - 31 = 11 units

PS = PT - ST

     = 54 - 11

     = 43 units

PQ + QR = PR

12 + 14 = PR

PR = 26 units

RS + ST = RT

17 + 11 = RT

RT = 28 units

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Arguments are a key component of political campaigns. They are used to convince voters to support a particular candidate or issue. Political campaigns often make claims, which are statements that assert a fact or belief. These claims are backed up by reasoning, which is the evidence or explanation that supports the claim. The conclusion is the result of the reasoning and supports the overall argument.

For example, a candidate may claim that they have a plan to improve the economy. The reasoning may be that the candidate has experience in business and has implemented successful economic policies in the past. The conclusion is that if the candidate is elected, they will be able to improve the economy.
Political campaigns also use arguments to attack opponents and discredit their claims. They may use reasoning to point out flaws in their opponent's plans or past actions. The conclusion is that the opponent is not fit for office and voters should not support them.

Overall, arguments are a crucial tool in political campaigns. They are used to persuade voters and shape public opinion. Successful candidates and campaigns are often those that can make the most convincing arguments and win over the most supporters.

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The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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For the given expression 2t² is the impulse response, and the given system is linear and the system is unstable

Given, y(t) = 2t{t-4 x(T) dt.
a) To find impulse response, let x(t) = δ(t).Then, y(t) = 2t{t-4 δ(T) dt = 2t.t = 2t².

Let h(t) = y(t) = 2t² is the impulse response.
b) A system is said to be linear if it satisfies the two properties of homogeneity and additivity.

A system is said to be linear if it satisfies the two properties of homogeneity and additivity. For homogeneity,

let α be a scalar and x(t) be an input signal and y(t) be the output signal of the system. Then, we have

h(αx(t)) = αh(x(t)).

For additivity, let x1(t) and x2(t) be input signals and y1(t) and y2(t) be the output signals corresponding to x1(t) and x2(t) respectively.

Then, we have h(x1(t) + x2(t)) = h(x1(t)) + h(x2(t)).

Now, let's consider the given system y(t) = 2t{t-4 x(T) dt.

Substituting x(t) = αx1(t) + βx2(t), we get y(t) = 2t{t-4 (αx1(t) + βx2(t))dt.

By the linearity property, we can write this as y(t) = α[2t{t-4 x1(T) dt}] + β[2t{t-4 x2(T) dt}].

Hence, the given system is linear.
c) A system is stable if every bounded input produces a bounded output.

Let's apply the bounded input to the given system with an input of x(t) = B, where B is a constant.Then, we have

y(t) = 2t{t-4 B dt} = - 2Bt² + 2Bt³.

We can see that the output is unbounded and goes to infinity as t approaches infinity.

Hence, the system is unstable. Therefore, the system is linear and unstable.

Thus, we have found the impulse response of the given system and checked whether the system is linear or not. We have also checked whether the system is stable or unstable. We found that the system is linear and unstable.

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Stem plant structure is most important for moving water up to the flower of a plant and providing it support just as the backbone provides support for the human body.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find plant structure which is most important for moving water up to the flower of a plant and providing it support just as the backbone provides support for the human body.

Now, We know that;

Stem plant structure is most important for moving water up to the flower of a plant and providing it support just as the backbone provides support for the human body.

Hence, The correct answer is, ''Stem.''

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Answer: A straight angle

Step-by-step explanation:

90 + 90 = 180

t = 8

It will take Mrs. Reed 8 hours to catch up to Mr. Reed.

To find out how many hours it will take Mrs. Reed to catch up to Mr. Reed, we can set up an equation based on their relative speeds.

Let's assume that Mrs. Reed catches up to Mr. Reed after t hours.

In those t hours, Mr. Reed will have traveled a distance of 50t miles (since he averages 50 mph).

Mrs. Reed, on the other hand, will have traveled a distance of 80(t-3) miles (since she averages 80 mph and leaves 3 hours later).

For Mrs. Reed to catch up to Mr. Reed, their distances traveled must be equal. Therefore, we can set up the equation:

50t = 80(t-3)

Let's solve for t:

50t = 80t - 240

240 = 80t - 50t

240 = 30t

t = 240/30

t = 8

Therefore, it will take Mrs. Reed 8 hours to catch up to Mr. Reed.

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