Please help and show work

we have that

the landing area is a square

so

the area of a square is

A=b^2

and the perimeter is equal to

P=4b

we have

b=16.5 ft

A=16.5^2=272.25 ft2

P=16.5(4)=66 ft

The three important post-implementation activities are evaluation and review, training and support, and maintenance and optimization.

After the implementation of a project or system, several important activities need to be carried out to ensure its success and ongoing effectiveness.
Evaluation and Review: This activity involves assessing the outcomes and performance of the implemented project or system. It includes gathering feedback from users, stakeholders, and other relevant parties to evaluate its functionality, efficiency, and user satisfaction. The evaluation helps identify any issues, shortcomings, or areas for improvement.
Training and Support: Post-implementation, providing adequate training and support to users is crucial. This involves conducting training sessions to familiarize users with the system's features, functionalities, and best practices. Ongoing technical support and assistance should be available to address user queries, troubleshoot issues, and ensure smooth operations.
Maintenance and Optimization: Regular maintenance is necessary to ensure the continued functioning and stability of the implemented project or system. This includes activities such as bug fixing, software updates, security patches, and performance optimizations. Monitoring system performance, collecting user feedback, and implementing necessary changes or enhancements contribute to the system's long-term success and efficiency.
By engaging in these post-implementation activities, organizations can effectively evaluate, support, and maintain the implemented project or system, maximizing its benefits and addressing any challenges that may arise.

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The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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The soil filled up the pot to a height of 5.46 inches.

To find the height of the soil in the pot, we can use the formula for the volume of a cylinder:

Volume = πr²h

Given that the diameter of the base is 10 inches, the radius (r) is half of that, which is 5 inches.

We also know the volume is 430 cubic inches.

430 = 3.14 x 5² x h

430 = 3.14 x 25 x h

h ≈ 5.46 inches

Therefore, the soil filled up the pot to a height of 5.46 inches.

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Solution

The remainder is obtained when we plug in x=5 into the polynomial function

The final answer is 114

Therefore, a particular solution to the equation y″ + 6y′ + 8y = 54 is yp = 27/4.

To find a particular solution to the equation y″ + 6y′ + 8y = 54, we can use the method of undetermined coefficients.

First, identify the general form of the particular solution based on the non-homogeneous term: Since the right side of the equation is a constant (54), we can guess that the particular solution will be in the form of yp = A, where A is a constant.

Next, substitute the guess into the equation: The first and second derivatives of yp = A are both 0 (y′ = 0, y″ = 0). So, substituting into the equation, we get 0 + 6(0) + 8A = 54.

Now, solve for the constant A: 8A = 54, so A = 54/8 = 27/4.

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The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

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The simple reason why it is very important for a given measurement always be reported to the correct number of significant figures is because solved answers usually, frequently and most of the time depend on the number of significant figures in the values used during the calculation

There are accurate figures which is used in solving mathematical problems

So therefore, the simple reason why it is very important for a given measurement always be reported to the correct number of significant figures is because solved answers usually, frequently and most of the time depend on the number of significant figures in the values used during the calculation

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1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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Answer:

on writing in expanded form we get

9167.364 = 9000 + 100 + 60 + 7 + 0.3 + 0.06 + 0.004

brainliest :)

Answer:

Imfao

ps use capital i instead of a L if you want to say that ^

If the sum of the measures of two angles is 180 degrees, then the angles are called supplementary angles.

Supplementary angles are a pair of angles that, when added together, result in a sum of 180 degrees. This means that if you have two angles, and their measures add up to 180 degrees, then those angles are considered supplementary to each other. For example, let's say we have Angle A and Angle B. If the measure of Angle A is 60 degrees, and the measure of Angle B is 120 degrees, we can check if they are supplementary by adding their measures: 60 + 120 = 180 degrees.

Since the sum is 180 degrees, we can conclude that Angle A and Angle B are supplementary angles. Supplementary angles can be found in various scenarios. For instance, consider a straight line. A straight line forms an angle of 180 degrees. So, if we divide this line into two angles, each angle will be 90 degrees. Since 90 + 90 equals 180, these angles are supplementary.In such cases, we can refer to the angles as non-supplementary. In summary, if the sum of the measures of two angles is 180 degrees, those angles are called supplementary angles. They are commonly found in situations where a straight line is divided into two angles, each measuring 90 degrees.

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There is enough evidence to reject the null hypothesis and conclude that the true population mean delivery time is indeed longer than 2 days.

Set up the null hypothesis (H0), alternative hypothesis (Ha).

In this case, our null hypothesis would be that the average delivery time for U.S. packages are pending to be delivered during December is equal to 2 days:

H0: μ = 2

Our alternative hypothesis would be that the average delivery time for U.S. packages to be delivered during December is longer than 2 days:

Ha: μ > 2

Where μ represents the population mean delivery time.

So our hypotheses would be:

H0: μ = 2 (null hypothesis)

Ha: μ > 2 (alternative hypothesis)

We will then conduct a statistical test to determine if there is enough evidence to reject the null hypothesis and conclude that the true population mean delivery time is indeed longer than 2 days.

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If someone claims that the average delivery time for U.S. packages during December is 2 days, and you believe it takes longer than that, then you can conduct a hypothesis test to determine if your belief is statistically significant or not.

Your hypotheses for this test would be as follows:

Null Hypothesis (H0): The average delivery time for US packages during December is equal to 2 days.

Alternative Hypothesis (Ha): The average delivery time for U.S. packages during December is greater than 2 days.

The null hypothesis represents the status quo or the claim that is being made. The alternative hypothesis represents your belief or the claim that you are testing. To conduct the hypothesis test, you would need to collect a sample of delivery times during December and use statistical analysis to determine if the sample mean is significantly different from 2 days.

If the sample mean is significantly greater than 2 days, then you would reject the null hypothesis and conclude that the average delivery time is longer than 2 days during December. However, if the sample mean is not significantly different from 2 days, then you would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the average delivery time is longer than 2 days during December.

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The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

(x,y) -> (-y,x).

Which is a 90º counterclockwise rotation.

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Answer:

36 units squared

Step-by-step explanation:

Multiply the base by the height, so 6 by 12, then divide by 2

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

420 miles

Step-by-step explanation:

1 inch is equal to 105 miles. The amount of inches between the two towns is 4, and 4 inches is 4 times the amount of inches in the scale. If the amount of inches is multiplied by 4, then the amount of miles should be multiplied by 4 too:

105 * 4 = 420

The actual distance is 420 miles.

Hope this helps :)

Answer:

x = 12.81

Step-by-step explanation:

Because this is a right triangle, we can use the Pythagorean Theorem to solve for x. We have 10² + 8² = x² → 100 + 64 → x² = 164 → x = 12.81. Hope this helps!

Step-by-step explanation:

using Pythagoras relationship

\( {x}^{2} = {10}^{2} + {8}^{2} \\ {x}^{2} = 100 + 64 \\ {x}^{2} = 164 \\ x = \sqrt{164} \\ x = 12.806 \\ x = 12.8\)

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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The expression for N(t) in terms of t and e is N(t) = N0 * e^(kt). Therefore, the population will be approximately 35,192 people in 5 years.

a)The exponential law states that if a population has a fixed growth rate "r," its size after a period of "t" years can be calculated using the following formula:

N(t) = N0 * e^(rt)

Here, the initial population is N0. We are also given that the population follows the exponential law.

Hence we can say that the population of a southern city can be expressed as N(t) = N0 * e^(kt).

Thus, we can say that the expression for N(t) in terms of t and e is N(t) = N0 * e^(kt).

b)Given that the population doubled in size over 23 months, the growth rate "k" can be calculated as follows:

20000 * e^(k * 23/12) = 40000e^(k * 23/12) = 2k * 23/12 = ln(2)k = ln(2)/(23/12)k ≈ 0.4021

Substituting the value of "k" in the expression for N(t), we get: N(t) = 20000 * e^(0.4021t)

After 5 years, the population will be: N(5) = 20000 * e^(0.4021 * 5)≈ 35,192.

Therefore, the population will be approximately 35,192 people in 5 years.

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These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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If two shapes can be mapped onto one another using rigid transformations, then yes, they can be said to be congruent.The preimage of right angle triangle and a right angle triangle are the example of congruent shapes.

Two shapes are considered to be congruent if they can be mapped onto one another using rigid transformations (a sequence of one or more rotations, translations, and reflections). A congruent triangle is produced by any series of rigid transformations applied to a triangle.

Now, let's learn about Rigid transformation

A rigid transformation of the plane, also known as an isometry, keeps length intact. "Rigid transformations" include reflections, translations, rotations, and combinations of these three transformations.

Example: The preimage of right angle triangle and a right angle triangle are the example of congruent shapes.

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Answer:

\(\sqrt{64} < \sqrt{72} < \sqrt{81}\)

Step-by-step explanation:

The closest perfect squares to 72 would be 81 and 64. Therefore, the square root of 72 must be between 8 and 9.

As per the probability, the chance of drawing 2 tickets without replacement and getting two white tickets by Suenit Anser is 2/3.

The probability of drawing a white ticket on the first draw is the number of white tickets divided by the total number of tickets. So, the probability of drawing a white ticket on the first draw is:

P(white on first draw) = number of white tickets / n

Now, to find the probability of drawing two white tickets in a row, we multiply these probabilities together:

P(white on first draw) * P(white on second draw | white on first draw)

= (number of white tickets / n) x (number of white tickets left / (n-1))

Simplifying this expression, we get:

P(white on first draw) x P(white on second draw | white on first draw)

= (number of white tickets x (number of white tickets - 1)) / (n x (n-1))

This is the probability of drawing two white tickets without replacement from a set of n tickets.

Then the probability of drawing 2 tickets without replacement and getting two white tickets is

=> 2/3

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The answer is -3 for the first one and the second one is 7

Answer:

72 pies

Step-by-step explanation:

24 pies + 48 pies = 72 pies