Which one is a function? ​

Answer:

61

Step-by-step explanation:

Step 1: Define

8y² - y - 8

y = 3

Step 2: Substitute and Evaluate

8(3)² - 3 - 8

8(9) - 3 - 8

72 - 11

61

Answer:

61

Step-by-step explanation:

8*3²-3-8=61

Answer: 267

Step-by-step explanation: 137 x 2=274

274-7=267

Answer:

738cm^3

Step-by-step explanation:

You just multiply everything together

12.3 * 7.5 * 8 = 738cm^3

Answer:

n = -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

KINDLY CHECK EXPLANATION

Step-by-step explanation:

Given the equation : y=-0.02(x-18)^2+12 to model the horizontal distance of a ball from Amaya's position.

a. How far away is the ball from Amaya when it is at its maximum​ height?

The model takes the form of a parabolic equation. Maximum height is obtain at the Vertex :

Comparing the general model :

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

Maximum height is obtained at the Vertex :(h, k)

From the model given

Coordinate at the Vertex : (h, k) = (18, 12)

Hence, ball is 18 feets away from AMAYA

B.) Height of ball at x = 30

y=-0.02(x-18)^2+12

y=-0.02(30-18)^2+12

y=-0.02(12)^2+12

y = 9.12 feets.

To calculate the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years, we can use the formula for future value of an annuity: FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuityPMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.

Using the given values, we have:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use trial and error or a financial calculator. Here, we will use a financial calculator.

To solve this problem, we will use the formula for future value of an annuity:FV = PMT x [((1 + r)n - 1) / r]where,FV = future value of an annuity PMT = the payment you will make in each periodr = the interest rate per periodn = the number of periods.

We are given:FV = $45,000PMT = $600n = 6 x 12 = 72 (since we are given in months, and there are 12 months in a year)r = ?To solve for r, we can use a financial calculator or trial and error. Here, we will use a financial calculator. We enter the values into the financial calculator and solve for r. We get

:r = 8.81% (rounded to two decimal places)Therefore, the annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.

The annual interest rate required to earn if you want a $600 per month contribution to grow to $45,000 in six years is approximately 8.81%.

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Answer:

(3,-1)

Step-by-step explanation:

(y,-x) is the "formula" to use on this ordered pair to find the counterclockwise rotation of 270 degrees (you should probably memorize these for your test). This means that (1,3) would become (3,-1) after flipping the x- and y-coordinates and making the x-coordinate negative.

The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).

The given coordinate point is (1, 3).

We need to find the image of the point (1,3) after a counterclockwise rotation of 270°.

A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

When we rotate a figure of 270° counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

So, points (1,3) changed to (3, -1).

Therefore, the image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).

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Answer:

28.3495 gram

Step-by-step explanation:

Answer:

The answer to this question would be B.

Answer:   w = 1200

---------------------------------

The calculated combined area of the track is 9166.625 square meters

From the question, we have the following parameters that can be used in our computation:

The composite figure

The total area of the composite figure is the sum of the individual shapes

So, we have

Area = 2 * Semicircle + Rectangle

Using the area formulas, we have

Area = 90 * 65 + 2 * 1/2 * 3.14 * (65/2) * (65/2)

Evaluate

Area = 9166.625

Hence, the total area of the figure is 9166.625 square meters

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Answer:

than it is any number between -2 and +5

Answer:

Answer 1 is 3712000000

answer 2 is 8.624X10^10

answer 3 is 820

answer 4 is 380

answer 9 is 9200

answer 10 is 400

answer 11 is 8832000000

answer 12 is 1.3104X10^10

6.22 +1-1-1-2+4= 7.22

Answer:

6.22 +1-1-1-2+4= 7.22

Step-by-step explanation:

Answer:

1 + 492008 = 492009

Step-by-step explanation:

OR

200009 + 292000 = 492009

The sample consists of three scores: 7, 8, and 9. The mean is 8, the median is 8, there is no mode, and the range is 2.

In statistics and probability, a sample refers to a subset of a population that is used to make inferences or draw conclusions about the entire population. In this case, the sample consists of the scores you obtained in 5 quizzes. The scores are as follows: 7, 8, and 9.
To analyze this sample, there are several key measures that can be calculated:
1. Mean: The mean, also known as the average, is calculated by summing up all the scores and dividing it by the number of scores. In this case, the mean can be calculated as (7 + 8 + 9) / 3 = 8.
2. Median: The median is the middle value when the scores are arranged in ascending order. In this case, since there are three scores, the median is the middle score, which is 8.
3. Mode: The mode is the score that appears most frequently in the sample. In this case, none of the scores repeat, so there is no mode.
4. Range: The range is the difference between the highest and lowest scores in the sample. In this case, the highest score is 9 and the lowest score is 7, so the range is 9 - 7 = 2.
5. Standard Deviation: The standard deviation is a measure of how spread out the scores are from the mean. It quantifies the amount of variation or dispersion in the sample. To calculate the standard deviation, you would need the full set of scores, not just the three provided.

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Answer:

8 1/4x

Step-by-step explanation:

I'm good at math.

Answer:

Step-by-step explanation:

When x=0 y=-3.75

When y=0 x=10

Angle measure of the smaller angle in two complement angles = x

Angle measure of the bigger angle = x + 20

Their sum = 90° ( the sum of two complementary angles is always equal to 90° )

This can be written in an equation as =

= x + x + 20 = 90

= 2x + 20 = 90

= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )

= 2x = 70

= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )

= x = 35

Then the value of the smaller angle = x = 35°

The value of the bigger angle = x + 20 = 35 + 20 = 55°

Therefore , the measure of degrees in the the smaller angle is :

Answer:

(-4) (3)= -12

Step-by-step explanation:

because negative times a positive =a negative

Depending on q, the boy who gets a strictly higher payoff in the SPE is different.  The correct statement is: Which boy gets strictly higher payoff depends on q.

First we will find the Subgame Perfect Equilibrium (SPE) of the game.

Subgame 1: Let's find the SPE of the first subgame. Boy 1 proposes a deal.

There are only two possible deals, so we can compute the payoff for each.

If a = 80, Boy 2 will accept, because he gets 20 and Boy 1 gets 80.

If a = 50, Boy 2 will reject, and the game will move on to subgame 2.

For subgame 2, Boy 2 proposes a deal.

There are only two possible deals, so we can compute the payoff for each.

If a = 80, Boy 1 will reject, because he gets 20 and Boy 2 gets 80.

If a = 50, Boy 1 will accept, because he gets 50 and Boy 2 gets 50.

Payoffs of each player for each decision rule:

Now let's analyze the payoffs of the boys in the SPE under any q.

When q < 0.5, there is a high probability that the cat will come and steal the pizza in subgame 1, so Boy 1's best offer is 50.

In subgame 2, Boy 2's best offer is 50, because Boy 1 is indifferent between 50 and 80, but 50 provides a higher expected payoff in case the pizza is stolen.

When q > 0.5, there is a high probability that the game will move on to subgame 2, so Boy 1's best offer in subgame 1 is 80.

In subgame 2, Boy 1's best offer is 50, because Boy 2 is indifferent between 50 and 80, but 50 provides a higher expected payoff in case the pizza is stolen

The correct statement is: Which boy gets strictly higher payoff depends on q.

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The Cournot solution for the price is approximately $2.425, and the quantities produced by Hale and Murray are approximately 3.47 and 4.03, respectively.

To find Hale's and Murray's reaction functions, we need to determine their profit-maximizing quantities given the local demand and their respective marginal cost functions.

Hale's profit function can be expressed as:

πH = (P - MCH) * qH

[tex]= (2.5 - 0.01Q - 0.35qH) * qH\\= 2.5qH - 0.01qH^2 - 0.35qH^2[/tex]

To maximize profits, we take the derivative of πH with respect to qH and set it equal to zero:

dπH/dqH = 2.5 - 0.02qH - 0.7qH

Setting the derivative equal to zero:

2.5 - 0.02qH - 0.7qH = 0

2.5 - 0.72qH = 0

0.72qH = 2.5

qH = 2.5 / 0.72

qH ≈ 3.47

Therefore, Hale's reaction function is qH = 3.47.

Similarly, Murray's profit function can be expressed as:

πM = (P - MCM) * qM

[tex]= (2.5 - 0.01Q - 0.3qM) * qM\\= 2.5qM - 0.01qM^2 - 0.3qM^2[/tex]

To maximize profits, we take the derivative of πM with respect to qM and set it equal to zero:

dπM/dqM = 2.5 - 0.02qM - 0.6qM

Setting the derivative equal to zero:

2.5 - 0.62qM = 0

0.62qM = 2.5

qM = 2.5 / 0.62

qM ≈ 4.03

Therefore, Murray's reaction function is qM = 4.03.

To find the Cournot solution, we substitute the reaction functions into the local demand equation:

Q = qH + qM

Q = 3.47 + 4.03

Q ≈ 7.5

Substituting Q back into the demand equation:

P = 2.5 - 0.01Q

P = 2.5 - 0.01(7.5)

P = 2.5 - 0.075

P ≈ 2.425

The Cournot solution for the price is approximately $2.425, and the quantities produced by Hale and Murray are approximately 3.47 and 4.03, respectively.

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The correct answer is b. frequency.

Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.

During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.

While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.

In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.

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Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.

In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.

Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.

Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.

Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.

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The answer is 135 your welcome

sorry I thought it was to find missing side

Answer:

Option 1 or 16 + h = 24

Step-by-step explanation:

Tyrone ate 16 hamburgers today.

Tyrone had 24 hamburgers.

Hamburger = h.

We want to find how much Tyrone had left so:

h = 24 - 16

OR (we can move 16 to the other side)

h + 16 = 24

Option 1 is the answer

The lifetime of a light bulb is known to have an exponential distribution with mean 200 days. The formula for the exponential distribution is: f(x) = (1/λ) * e^(-x/λ), where x ≥ 0 and λ > 0 are constants.

Here, the mean is 200 days, so λ = 1/200 = 0.005.

Both X and Y are independent.

Therefore, we can find the probability that X fails within 10 days of Y, and multiply it by the probability that Y fails within 10 days of X.

Hence, the probability that the bulbs fail within 10 days of each other is the sum of these probabilities.

Let Z = X - Y, then P(X ≤ Y + 10) = P(X - Y ≤ 10) = P(Z ≤ 10).

Now, we can transform Z into a standard normal variable, as follows: Z = (X - Y - E[Z]) / σ[Z].

Now, E[Z] = E[X - Y] = E[X] - E[Y] = 200 - 200 = 0, and

σ[Z]^2 = Var[X - Y] = Var[X] + Var[Y] = (1/λ^2) + (1/λ^2) = 2/λ^2.

Hence, σ[Z] = √(2/λ^2) = √2 * 200 ≈ 282.84.

Therefore, P(Z ≤ 10) = P[(X - Y) / σ[Z] ≤ 10 / σ[Z]] = P(Z' ≤ 10 / σ[Z]) ≈ P(Z' ≤ 0.0354), where Z' is a standard normal variable.

The probability of Z' being less than or equal to 0.0354 is equal to 0.5120.

Therefore, the probability that two bulbs fail within 10 days of each other is

P(X ≤ Y + 10 and Y ≤ X + 10) = P(X ≤ Y + 10) * P(Y ≤ X + 10) = P(Z ≤ 10) * P(Z ≤ -10) = P(Z ≤ 10)^2 ≈ (0.5120)^2 = 0.2621.

The probability that two bulbs fail within 10 days of each other is 0.2621.

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