10. A gardener wants to pour a sidewalk around the outside of his 20- by 30-meter garden. The sidewalk will be
1 meter wide. How many square meters of sidewalk will he have?
30 m
20 m
(Hint: Subtract the area of the garden from the total area covered by
both the garden and the sidewalk. A = A, - A)
1m2!
w1m

The distance traveled in the first 5.2 seconds when the speed dropped from the rest as v(t) = 9.8t is equal to 132.496 meters.

'v' is the speed of the object in meter per second

't' is the time in seconds.

Speed dropped from rest 'v(t) = 9.8t '

Distance traveled in the first 5.2 seconds is equal to

= \(\int_{0}^{5.2}\)9.8t dt

= ( 9.8 / 2 )t² \(|_{0}^{5.2}\)

Substitute the lower and upper limit to get the required distance we have,

= 4.9 [ ( 5.2)² - 0² ]

= 4.9 × 27.04

= 132.496 meters

Therefore, the distance traveled for the given first 5.2 seconds is equal to 132.496 meters.

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The above question is incomplete, the complete question is:

Free fall the speed v of an object dropped from rest is given by v(t)=9.8t where v is meters per second and time 't' is in seconds.

(a) Express the distance traveled in the first 5.2 seconds as an integral.

Using the binomial distribution, considering that he scores between 13 and 15 points in 60% of his games, he is expected to score 13-15 points in 9 games out of the remaining 15.

For each game, there are only two possible outcomes, either he scores between 13 and 15 points or he does not. His score on a single game is independent of any other game, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

\(E(X) = np\)

In this problem:

Then:

E(X) = np = 15 x 0.6 = 9.

He is expected to score 13-15 points in 9 games out of the remaining 15.

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An MIS differs from a TPS in that it creates databases is True.

An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.

One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.

On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.

In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.

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Answer:

The maximum total cost for tickets is $320 + $160 = $480.

Step-by-step explanation:

The maximum number of people that can go on the field trip is 100, so the maximum number of students is 100 - (100/5) = 80 students.

The maximum number of adult chaperones is 1 adult chaperone for every 4 students, so the maximum number of chaperones is 80/4 = 20 chaperones.

The total cost for student tickets is $4 x 80 = $320.

The total cost for adult chaperone tickets is $8 x 20 = $160.

The maximum total cost for tickets is $320 + $160 = $480.

Answer:

the maximum amount for the equation is 320+160=480

To calculate the slope between 2 points we use the following equation:

Replacing the points:

In this case, when we find an infinite slope, it means that it is a line parallel to the Y axis. All parallel lines have the same slope.

For the perpendicular case, the slope is equal to:

For the perpendicular case, the slope is zero and would equal one parallel to the X axis.

Answer:

Step-by-step explanation:

The question is asking us to find the slope.

First, we will find the slope of the line that passes through (4,8) and (4,6).

We'll use the slope formula:

\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data :

\(\bf{m=\dfrac{6-8}{4-4}}\)

\(\bf{m=\dfrac{-2}{0}}\)

\(\bf{m=not\:de fined}\)

If a line's slope is not defined, then it's a vertical line:

                                       \(\rule{1}{350}\)

------

Now, what is the slope of a line that's parallel to the one above? Well, since parallel lines have equal slopes, that one will have an undefined slope too.

As for perpendicular lines, they have slopes that are negative reciprocals of each other. We got that the slope is -2/0. The negative reciprocal of that is 0/2, which simplifies to 0.

Alternatively, you could look at it this way: a horizontal line (a line with zero slope) is perpendicular to a vertical line. So the slope of that line is m = 0.

\(\rule{350}{1}\)

Answer:

this triangle is soo mathematically incorrect but x = 90°

Step-by-step explanation:

Therefore, upgrading the new version of the package requires installation of 18 new files.

A quadratic equation is a type of polynomial equation in one variable (usually denoted by "x") where the highest exponent of the variable is 2. The general form of a quadratic equation is:

\(ax^2 + bx + c = 0\)

where a, b, and c are constants (numbers) and a is not equal to zero.

The solutions to a quadratic equation can be found by using the quadratic formula:

\(x = (-b ±\sqrt(b^2-4ac))/2a\)

by the question.

a) Let X be the time it takes to install the entire package. We know that X follows a normal distribution with mean μ = 1568 = 1020 seconds and variance σ^2 = 1168 = 748. We want to find the probability that X is less than 720 seconds (12 minutes).

Using the standard normal distribution, we can standardize X as follows:

\(Z = (X - μ) / σ = (720 - 1020) /\sqrt(748) = -4.05\)

Using a standard normal table or a calculator, we find that the probability of Z being less than -4.05 is approximately 3.3x10^-5. Therefore, the probability of upgrading the entire package in less than 12 minutes is approximately 3.3x10^-5.

(b) Let Y be the time it takes to install n files. We want to find the value of n such that upgrading takes less than 10 minutes with 95% probability.

We know that Y follows a normal distribution with mean μ = 15n and variance σ^2 = 11n. We want to find the value of n such that P(Y < 600) = 0.95.

Using the standard normal distribution and standardizing Y, we have:

\(Z = (Y - μ) / σ = (600 - 15n) /\sqrt(11n)\)

We want to find the value of n such that P (Z < z) = 0.95, where z is the z-score that corresponds to the 95th percentile. From a standard normal table or a calculator, we find that z ≈ 1.645. Therefore, we have:

(600 - 15n) / sqrt(11n) = 1.645

Squaring both sides and rearranging, we get:

\(11n^2 - 196n + 3600 = 0\)

Solving this quadratic equation, we get two solutions: n ≈ 17.17 and n ≈ 31.44. Since we want a positive integer value for n, the only valid solution is n = 18.

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The formula of the trigonometric function that models the depth D of the water t seconds after Wei starts the stopwatch is:

D(t) = 55 sin(2π/3 t + 0.246) + 33.5

What is function ?

In mathematics, a function is a rule that assigns a unique output (or value) to each input (or value) in a given set. More specifically, a function is a set of ordered pairs, where each ordered pair consists of an input value and a corresponding output value. The input values are typically called the "domain" of the function, while the output values are called the "range" of the function.

Functions are often represented using function notation, where the name of the function is followed by its input variable(s) in parentheses. For example, if f is a function that takes a number x as input and produces a number y as output, we would write f(x) = y.

According to the question :
We can model the depth D of the water using a sine function of the form:

D(t) = A sin(Bt + C) + D0

where A is the amplitude of the wave, B is the frequency (in radians per second), C is the phase shift (in radians), and D0 is the vertical shift (in centimeters).

From the problem, we know that the water just touches Wei's knees (which are 55 cm off the ocean floor) at times t = 1.1 + 3n, where n is an integer. This means that the maximum depth of the wave is 55 cm above the ocean floor, so the amplitude of the wave is A = 55 cm.

We also know that the water recedes to Wei's ankles (which are 12 cm off the ocean floor) between peaks. Since the sine function oscillates between its maximum and minimum values, the vertical shift D0 is halfway between the maximum and minimum depths of the wave. Therefore, we have:

D0 = (55 cm + 12 cm) / 2 = 33.5 cm

To find the frequency B, we can use the fact that the water just touches Wei's knees every 3 seconds:

B = 2π / 3

Finally, to find the phase shift C, we can use the fact that the water just touches Wei's knees at t = 1.1 seconds:

Bt + C = 2πn + π/2, where n is an integer

B(1.1) + C = π/2

Substituting B = 2π/3 and solving for C, we get:

C = π/2 - B(1.1) = π/2 - (2π/3)(1.1) ≈ 0.246 radians

Putting it all together, the formula of the trigonometric function that models the depth D of the water t seconds after Wei starts the stopwatch is:

D(t) = 55 sin(2π/3 t + 0.246) + 33.5

where t is in seconds and D(t) is in centimeters.

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Answer:

26s-45

Step-by-step explanation:

This is according to a app that tells you the answer to the problem and this is right the app is always right i use it all the time

Answer:

0.4032

Step-by-step explanation:

Answer:

100% -> 6.50

100 - 25 = 75

75% -> 6.50/100 x 75

            = 4.875

            ≈ 4.88    

Answer:

$4.875 or if rounded $4.88

Step-by-step explanation:

Hope this helped

also u just have to subtract 6.50 by 25%

Answer:

192.5 in³

Step-by-step explanation:

The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.

Thus the volume V = lbh =

V = (20-2x)*(10-2x)*(x)

V = 4x³ - 60x² + 200x

On differentiating, we have dv/dx to be

dv/dx = 12x² - 120x + 200

Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113

This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.

You cut 2.113 inches from each corner to obtain the maximum volume.

The sizes of the cubes are

20 - (2 * 2.113) = 15.774

10 - (2 * 2.113) = 5.774

2.113

The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

i think its x=-12

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace f(x) with 0 and solve for x.

x = −12

To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to choose h = -2.

To complete the square for the given equation

\(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to express the left-hand side of the equation in the form

\((x - p)^2 + q\), where p and q are constants.

We can start by expanding the right-hand side of the equation:

\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)

Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:

\(x^2 + 8x + 32 = (x - p)^2 + q\)

=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?

Using Definition 1 of the Laplace transform, we have determined the Laplace transforms of the given functions as mentioned above.

Definition 1 of the Laplace transform states that for a function f(t) defined for t ≥ 0, its Laplace transform F(s) is given by F(s) = L{f(t)} = ∫[0,∞] e^(-st) f(t) dt. Using this definition, we can determine the Laplace transforms of the given functions:

1. The Laplace transform of t is given by L{t} = 1/s².

2. The Laplace transform of t² is given by L{t²} = 2/s³.

3. The Laplace transform of e^(6t) is given by L{e^(6t)} = 1/(s - 6).

4. The Laplace transform of te^(3t) requires applying the property of the Laplace transform for the derivative of a function. The Laplace transform of te^(3t) is given by L{te^(3t)} = -d/ds (1/(s - 3)²).

5. The Laplace transform of cos(2t) requires using the trigonometric property of the Laplace transform. The Laplace transform of cos(2t) is given by L{cos(2t)} = s/(s² + 4).

In conclusion, using Definition 1 of the Laplace transform, we have determined the Laplace transforms of the given functions as mentioned above.

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A recursive algorithm to find a^2n, where a is a real number and n is a positive integer, is as follows:

This algorithm uses the property of exponentiation that a^(2n) = (a^n)^2, and divides the problem of finding a^2n into a smaller subproblem of finding a^n. It takes advantage of the recursive nature of the problem by calling the same algorithm with a smaller value of n.

The time complexity of this algorithm is O(log n) as it divides the problem into half at each recursive step.

It should be noticed that this algorithm assumes that the input value of n is positive, otherwise it would be necessary to add a check for a negative value or zero.

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The population of the town increased by 1450 from 2008 to 2012. The relative increase, expressed as a percentage, is approximately 43.94%.

To find the absolute increase, we subtract the initial population from the final population: 4750 - 3300 = 1450.

Therefore, the population of the town increased by 1450 individuals over the four-year period.

To calculate the relative increase as a percentage, we use the following formula:

Relative Increase (%) = (Absolute Increase / Initial Population) × 100

Substituting the values into the formula, we have:

Relative Increase (%) = (1450 / 3300) × 100 ≈ 43.94%

This means that the population of the town increased by approximately 43.94% from 2008 to 2012.

The relative increase gives us a measure of the percentage change in the population size.

In this case, the town experienced a significant population growth of 43.94% over the four-year period.

This information can be useful for understanding demographic trends, planning infrastructure, and making policy decisions to accommodate the increased population.

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X is contractible.

To show that X is contractible, we need to show that there exists a homotopy between the identity map on X and a constant map.

Given that X_n-1↪X_n is nullhomotopic rel ∗ for all n≥0, we can construct a homotopy by induction.

Let's start with n = 0. Since X has only one 0-cell ∗, X_0 consists only of ∗. Thus, the inclusion map X_0↪X_0 is the identity map, which is already nullhomotopic rel ∗.

Now, assume that X_k-1↪X_k is nullhomotopic rel ∗ for some k≥1. We want to show that X_k is also nullhomotopic rel ∗.

Since X_k-1↪X_k is nullhomotopic, there exists a homotopy H: X_k × I → X_k such that H(x, 0) = x for all x in X_k and H(x, 1) = ∗ for all x in X_k-1.

Consider the inclusion map i: X_k-1↪Xk. We can define a new homotopy G: X_k × I → X_k by G(x, t) = H(i(x), t), where i(x) is the inclusion of x in X_k.

G satisfies G(x, 0) = H(i(x), 0) = x for all x in X_k, and G(x, 1) = H(i(x), 1) = ∗ for all x in X_k-1.

Therefore, we have constructed a homotopy between the inclusion map X_k-1↪X_k and the constant map ∗.

By induction, we can repeat this process for all n≥0. Thus, X is contractible.

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SOLUTION

From the question, the r is increasing at the rate of 6.4 feet per seconds.

This means that the equation of the radius is

So the function for the radius, in terms of t becomes

The Area A is given as

So, the function for the area in terms of r becomes

Now, (A . r)t becomes

Hence the answer is

The 3rd option is the answer

Answer:

C and A : ) : )

If you're looking for an anime to watch, watch Dororo if you haven't already

Answer:

C and A

Step-by-step explanation:

Edge 2021

Answer:1/2(1/t+6)1/2t^2

Step-by-step explanation:

Find the derivative by using the chain and power rules.

The derivative of the function f(t) = √t/\(t^{2\)+6 is given by the expression -1/2\(t^{(1/2)/(t^{2 + 6)^{2\).

To find the derivative, we need to apply the power rule for derivatives. The power rule states that for a function

f(x) = \(x^{n\) the derivative is given by \(n*x^{(n-1)\).

In this case, we have a fraction and a square root of t. The fraction is of the form x/\(x^{n\), so we can rewrite it as x/\(x^{n\). Now, applying the power rule, the derivative of the fraction is given by 1*\(x^{(1-n)/x^{n\)or \(1/x^{(n-1)\).

For the square root, we can rewrite it as √\(t^{1\), so applying the power rule, the derivative of the square root is given by \(1/2t^{(1/2)\).

Now, putting everything together, we have the following expression for the derivative: -1/2\(t^{(1/2)/(t^{2 + 6)^{2\).

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Answer: The average rate of change over the interval 12 < x < 30 is -4/3

Step-by-step explanation:

The average rate of change over an interval is defined as the change in the output (f(x)) divided by the change in the input (x) over that interval. In this case, the interval is 12 < x < 30. To find the average rate of change, we need to evaluate the function at the endpoints of the interval and subtract the value at the start point from the value at the end point, and divide that by the change in x.

Given the table:

f(30) = 16 and f(12) = 40

The average rate of change over the interval 12 < x < 30 is:

(f(30) - f(12)) / (30 - 12) = (16 - 40) / 18 = -24/18 = -4/3

So the average rate of change over the interval 12 < x < 30 is -4/3

It's worth noting that this is only the average rate of change, and the function may have different rates of change at different points within the interval 12 < x < 30.

Answer: The last option would be correct p=  75 + 5a. The reason being the last option is the right one is because the expression represents the additional points plus her original 75 she had on her homework assignments.  

Among the given options for input statements involving int variables X and y, the valid option is b) cin >> x >> y.

This statement uses the extraction operator (>>) to read input values and assign them to the variables x and y consecutively. The extraction operator allows for multiple inputs in a single line, separated by spaces or other delimiters.

This statement ensures that two integer values can be entered and stored correctly in the variables x and y. The extraction operator (>>) is commonly used with the cin object in C++ for input operations. It facilitates convenient and efficient input handling for multiple variables in a single statement.

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Using it's concept, there is a 0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A standard deck is given by 4 suits of 13 cards, each with either a number from 1 to 10 or one letter from A, Q or K, hence:

Hence the probability is given by:

p = 48/51 x 45/50 x 42/49 = 0.726.

0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).

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To determine the scale factor between the right triangle on the left and the one on the right, we need to compare the corresponding sides of the triangles. The scale factor is the ratio of the lengths of the corresponding sides.

From the given information, we can observe that the length of the hypotenuse of the triangle on the right is 15, while the length of the hypotenuse of the triangle on the left is 10.

Therefore, the scale factor can be calculated by dividing the length of the hypotenuse of the triangle on the right by the length of the hypotenuse of the triangle on the left: 15/10 = 3/2.

Hence, the scale factor between the two triangles is 3/2.

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The next year's expected cash flow if there is a 50/50 probability that it will be either $10 million or $60 million is $35 million.

Probability refers to possibilities. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. The probability formula states that the ratio of positive outcomes to all other outcomes determines how likely an event is to occur.

Sum of outcomes= 410+$60=$70 million

Number of outcomes=2

As the probability is 50/50, the next year’s expected cash flow will be

10+60/(2)

=70/2

=35 million dollars.

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Infographic 1: Major economic information of the United States including stability, exchange rates, and resource availability

Infographic 2: Cultural overview of the United States with considerations for businesses

Infographic 3: Political and social conditions of the United States

Infographic 4: Pros and cons of entering the US market

Infographic 1: This infographic provides major economic information about the United States. It includes data on the country's economic stability, such as the GDP growth rate, unemployment rate, and inflation rate. Additionally, it highlights exchange rates, showcasing the value of the US dollar against other currencies. The infographic also presents information on the availability of resources in the country, such as energy sources, raw materials, and skilled labor.

Infographic 2: This infographic offers a cultural overview of the United States, focusing on aspects relevant to businesses. It highlights key cultural dimensions, social norms, and values that shape business practices in the country. It may include information on communication styles, work culture, attitudes toward hierarchy, and business etiquette. Understanding these cultural considerations is crucial for successful business operations in the United States.

Infographic 3: This infographic explores the political and social conditions of the United States. It provides an overview of the political system, highlighting the branches of government, election processes, and key political figures. Additionally, it addresses social factors such as diversity, equality, and social issues that impact the society and business environment in the United States.

Infographic 4: This infographic presents the pros and cons of entering the US market. It outlines the advantages, such as a large consumer base, strong infrastructure, and access to advanced technologies. It also addresses potential challenges, such as intense competition, complex regulations, and high operating costs. By providing a balanced view, this infographic helps businesses make informed decisions about entering the US market.

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Answer:

15 pieces

Step-by-step explanation:

First, 4 goes into twelve 3 times. since it goes in three times, and you have 5 rolls, you would just multiply the two together.

3*5 = 15 pieces

Question #1

First we have to convert feet to inches.

Knowing that 1 foot is 12 inches we just need to multiply our values by 12.

Meaning that 12 feet of a roll of ribbon is basically 144 inches.

That isn't our final answer because he has 5 rolls so we multiply our answer by 5.

12×12 = 144  ← how many inches are in a single roll

144×5 = 720 So in total there are 720 inches in total.

Question #2

Now that we answered one of the questions we can use this information to answer the other question asking us how many 4 inch pieces can he make from the 5 rolls.

As mentioned above we know the 5 rolls are equivalent to 720 inches..

So we will take that number and divide it by 4.

720÷4  = 180

Meaning that 180 4-inch pieces can be made.

Statement

Therefore the dressmaker has 720 inches of ribbon and with that is able to make 180 4 inch pieces from it.