At the end of the year, a principal decides to create the given mapping.
Input: The 82 total students in the history class
Output: The final grades they received for the class
Does this mapping fit the definition of a function? Explain your reasoning.

Answer:

There are 255 ants in 1 anthill.

Step-by-step explanation:

Do the cross multiplication method. First set the equation as 1275/5 = x/1. Then cross multiply to get 5x = 1275. Divide both sides by 5 to get 255.

If all of their dresses are fit for the kids, the possible way to dress them is 3*4*5=60

But one dress is out grown for the third child. Hence, the combination that are not possible.

3*4*1=12

So total number of possible ways are :

3*4*5 - 3*4*1=48

Hence the answer is option D.

The answer is −0.09

It should be simple multiplication.

I hope this helps!

The author's purpose in the text is to teach readers how to make animal silhouette art using simple supplies.

The text provides a clear set of instructions, starting with finding a picture of an animal, copying its outline onto cardboard, cutting out the silhouette, and then using strips of magazine paper to create a colorful design. The author gives specific details on how to cut the strips, glue them to the cardboard, and trim them to make a finished piece of art. The use of the second-person point of view, such as "you will create," suggests that the author intends for the reader to follow the instructions and make their own animal silhouette art. Overall, the text is informative and instructional, providing a step-by-step guide to creating art with readily available materials.

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The complete question is:

One great thing about making art is that you can use almost any supplies. In this project, you will create animal silhouettes from three simple supplies: old magazines, cardboard, and glue.

First, find a picture of an animal that you like. Copy its outline onto a piece of cardboard, and cut out the cardboard silhouette. Next, cut narrow strips from the magazines. The pages you choose will determine what colors the animal will be.

Now, glue the side of the strip by side onto the cardboard shape, with the ends extending beyond the cardboard's edges. Trim the strips carefully along the edges. Ta-da! Your colorful animal art piece is finished.

Which author's purpose is suggested by the text?

Answer:

Step-by-step explanation:

Consecutive angles cut by a common transversal are supplementary. That means that

x + 87 =180             Subtract 87 from both sides.

x+87-87=180-87

x = 93

Answer:

312m

Step-by-step explanation:

The correct explicit formula is f(1) = 6; f(n) = 6 + d(n − 1), n > 0

The arithmetic sequence explicit formula can be easily computed from the term of the sequence.

For the arithmetic sequence a, a + d, a + 2d, a + 3d, ........a + (n - 1)d, and the nth term of the sequence forms the explicit formula. Hence the explicit formula for the arithmetic sequence is an = a + (n - 1)d.

Given:

The first layer has 6 squares.

The second layer has 12 squares.

The sequence can be

6, 12, ...

then f(1)= 6

So, for n square we can write

f(n) =  6 + d(n − 1)

Hence, the explicit formula is  f(n) = 6 + d(n − 1),

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Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

When we plug in the values our equation becomes,

3^3+11(2)-4(7)=

All we have to do now is solve it.

27+22-28=

49-28=21

If a player can play a game by rolling a fair die several times. the player can win money based on the numbers rolled, then the expected payout is $204

To find the expected payout of the game, first we need to multiply each payout amount by its probability and then sum up the results.

Assume that the remaining probability has a payout of 0 so that the probabilities add to 1

From the table,

Expected payout of the game = (140 × 0.101) + (4400 × 0.029) + (155000 × 0.0004)

Multiply the numbers

= 14.14 + 127.6 + 62

Add the numbers

= 203.74

≈ $204

Therefore, the expected payout of the game is approximately $204.

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The given question is incomplete, the complete question is :

A player can play a game by rolling a fair die several times. the player can win money based on the numbers rolled. the table shows the probability of each payout amount (assume that the remaining probability has a payout of 0 so that the probabilities add to 1). to the nearest dollar, what is the expected payout of the game?

Answer:

\(11\sqrt{797}\pi\)

Step-by-step explanation:

\(A=\pi r \sqrt{h^2+r^2}\)

the radius is 22/2 = 11 in

h is 26 in

substitute: \(\pi \left(11\right)\sqrt{\left(26^2\right)+\left(11^2\right)}\)

= \(11\sqrt{797}\pi\)

Answer:

286π in²

Step-by-step explanation:

The lateral area (A) of the cone is calculated as

A = πrs ( r is the radius and s the slant height )

Here r = 22 ÷ 2 = 11 and s = 26 , then

A = π × 11 × 26 = 286π in²

Counting in a base-7 place value system involves using seven digits (0-6) to represent numbers. The first paragraph will summarize the answer, and the second paragraph will explain how counting in a base-7 system works.

In base-7, the place values are powers of 7, starting from the rightmost digit. The digits used are 0, 1, 2, 3, 4, 5, and 6.

Counting in base-7 begins with the single-digit numbers: 0, 1, 2, 3, 4, 5, and 6. After reaching 6, the next number is represented as 10, followed by 11, 12, 13, 14, 15, 16, and 20. The pattern continues, where the numbers increment until reaching 66. The next number is represented as 100, followed by 101, 102, and so on.

The key concept in base-7 counting is that when a digit reaches the maximum value (6 in this case), it resets to 0, and the digit to the left is incremented. This process continues for each subsequent place value.

For example:

14 in base-7 represents the number 1 * 7^1 + 4 * 7^0 = 11 in base-10.

24 in base-7 represents the number 2 * 7^1 + 4 * 7^0 = 18 in base-10.

36 in base-7 represents the number 3 * 7^1 + 6 * 7^0 = 27 in base-10.

By following this pattern, we can count and represent numbers in the base-7 system.

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hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.

hope this helps!! <3

Answer:

you use

total animal = 2c+4w

c for chicken they have two legs

w for caw " " " " four leg

Answer:

A. an = -51+12(n-1)

Step-by-step explanation:

edge quiz

The solution is, the explicit rule for the arithmetic sequence is

a n = -51 + ( n - 1 ) · 12 .

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

given that,

a 2 = -39

a 2 = a 1 + 12

- 39 = a 1 + 12

a 1 = - 39 - 12

a 1 = - 51 ( first term )

The common difference is : d = 12

The explicit rule for the arithmetic sequence:

a n = a1 + ( n - 1 ) d

a n = -51 + ( n - 1 ) · 12

Hence, The solution is, the explicit rule for the arithmetic sequence is

a n = -51 + ( n - 1 ) · 12 .

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Y: 1 Y is 1 becuase 1 +2 =3 so y=3

Answer:

yes!

Step-by-step explanation:

they have the same 3 angles in both

Answer:

true

Step-by-step explanation:

1. Surface area:

We need to split trinagular prism into 5 different polygons. Then calculate the area for each of them, and finally add up the five results to find the total surface area.

We have 2 triangles and 3 rectangles.

Both triangles are equal, so, we only need to find the area for one of them:

- Triangle:

We know h (h = 5 in), but we don't know b, and here is where the Pythagorean theorem comes in:

For our trinagle, we know the hypotenuse length (13 in) and one side length (5 in), so:

And so, going back to the triangle area, we have:

- "Front" rectangle area:

- "Right" rectangel area:

- "Left" rectangle area:

Finally, the surface area of the triangle prism is:

30 + 30 + 260 + 100 + 240 = 660 in^2

2. Volume

The volume is just the area of the base triangle times the height of the prism. So:

The following are the correct vertical translation and you can use this information to fill the table in the picture:

A vertical translation refers to a type of transformation that moves a function or graph vertically up or down without changing its shape. Specifically, a vertical translation of distance c is given by the function:

f(x) + c

where f(x) is the original function and c is a constant that determines the amount and direction of the translation. If c is positive, the graph of the function is shifted upwards; if c is negative, the graph is shifted downwards.

For example, the function f(x) = x^2 has a graph that is a parabola opening upwards. If we apply a vertical translation of 2 units, the resulting function is:

f(x) + 2 = x^2 + 2

The graph of this function is also a parabola, but it has been shifted vertically upwards by 2 units. Similarly, a vertical translation of -3 units would give us the function f(x) - 3 = x^2 - 3, which is the same parabola shifted downwards by 3 units.

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The speed of the cart begin to decrease at approximately: 3.5 minutes.

A typical time-speed graph shows the time on the x-axis and the speed on the y-axis. When the slope is rising, it means the speed is increasing. When the slope is horizontal, it means the speed is constant. When the slope falls or decline, it means speed is decreasing.

We are given a time-speed graph that shows the speed of a cart over a period of several minutes. Time in minutes is on the x-axis (horizontal axis) while speed in miles per hour is on the y-axis (vertical axis).

From the graph given, the speed of the cart started increasing up to about 3 minutes, since the line slopes upwards. Then, between 3 and 4 minutes, we have a horizontal line which starts to decline at approximately 3.5 minutes.

Therefore, we can conclude that the speed of the cart begin to decrease at approximately: 3.5 minutes.

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The integral  ∫(8x/2 + 2/x^3)dx evaluates to 4x^2 - 2/x^2 + C, where C is the constant of integration.

The given integral ∫(8x/2 + 2/x^3)dx is definite integral without any integration limits. To evaluate this integral, we can split it into two parts

∫8x/2 dx + ∫2/x^3 dx

We made use of the power rule of integration to simplify the first term, and the inverse power rule to simplify the second term.

Simplifying each integral, we get

4x^2 - 2/x^2 + C

where C is the constant of integration.

Therefore, the final answer to the integral is

∫(8x/2 + 2/x^3)dx = 4x^2 - 2/x^2 + C

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

" Evaluate. Assume that x>0. ∫(8x/2 + 2/x^3)dx"--

The given positive integer gives a remainder of 4 when divided by 5, and gives a remainder of 2 when divided by 5. This means that the integer can be expressed in the form of 5n+4 and 5m+2, where n and m are integers.

To explain further:  Let's call the positive integer in question "x". Here the x gives a remainder of 4 when divided by 5, which means that it can be written in the form:x = 5a + 4 where "a" is some integer.                                                                                       Similarly, we know that x gives a remainder of 2 when divided by 5, which means that it can also be written in the form:x = 5b + 2 where "b" is some integer.                                                                                                                               We want to find the remainder that x gives when divided by 5, which is equivalent to finding x modulo 5.                              To do this, we can set the two expressions for x equal to each other:5a + 4 = 5b + 2. Subtracting 4 from both sides gives: 5a = 5b - 2.                                                                                                                                                                    Adding 2 to both sides and dividing by 5 gives:a = b - 2/5. Since "a" and "b" are integers, we know that "b - 2/5" must also be an integer. The only way this can happen is if "b" is of the form:b = 5c + 2where "c" is some integer. Substituting this into the expression for "a" gives:a = (5c + 2) - 2/5

= 5c + 1Therefore, we can write x in terms of "c":x = 5b + 2

= 5(5c + 2) + 2

= 25c + 12So, x gives a remainder of 2 when divided by 5.

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I may not be the best at this but i think it would be A. I am sorry if it is wrong.

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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