Find the area of the figure.2 cm3 cm6 cm12 cm

Answer:

186

Step-by-step explanation:

Step One (1): 6x11=66 People gone shopping

Step Two (2): 2x9=18 People going site-seeing

Step Three (3): 66+18=84 People Gone Total

Step Four (4): 270-84=186 People left at the Hotel

Hope this Helps! Have a Great Day! :D

Step-by-step explanation:

x^2 +4x +4 -7 is

y=x^2+4x-3

Answer: g(x)=(x+2)²-4.

Step-by-step explanation:

g(x)=f(x)+3

g(x)=(x+2)²-7+3

g(x)=(x+2)²-4.

The set of ordered pairs (x,y)(x,y) that could represent a linear function is A = {(-6, 6) (-3, 2) (0, -1) (3, -5)}.

What is a linear function?

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Here,

We have to find the set of ordered pairs (x,y)(x,y) that could represent a linear function.

Let's find out the slope of any two points in each option.

A = {(-6, 6) (-3, 2) (0, -1) (3, -5)}

Slope = (y₂ - y₁) /(x₂ - x₁)

= (2 - 6) /(-3 + 6) = -4/3

= (-5 +1) /(3 - 0) = -4/3

The slope of any two points is equal. So it represents a linear function.

Hence, the set of ordered pairs (x,y)(x,y) that could represent a linear function is A = {(-6, 6) (-3, 2) (0, -1) (3, -5)}.

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Answer:

The entered points belong to a vertical line. There is no slope.

Step-by-step explanation:

When selecting a project, one of the important considerations is whether the project is mutually exclusive or independent. Mutual exclusive projects are those that cannot be undertaken together, while independent projects can be undertaken concurrently.

To determine which project to choose under various scenarios, the Net Present Value (NPV) and Internal Rate of Return (IRR) techniques are commonly used. For the question at hand, the WACC (Weighted Average Cost of Capital) is given as either 7.2% or 5%. Therefore, we will use the NPV technique to evaluate the projects, and the projects are independent or mutually exclusive. The following table shows the calculations and decision for each scenario.

To summarize, if the WACC is 7.2% and the projects are independent, choose Project A. If the WACC is 7.2% and the projects are mutually exclusive, choose Project A. If the WACC is 5% and the projects are independent, choose either Project A or Project B. Finally, if the WACC is 5% and the projects are mutually exclusive, choose Project A.

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Answer:

minimum

Step-by-step explanation:

The given vectors are:
Vector A = (-11, b, 2)
Vector B = (b, b^2, b)

The values of b for which the given vectors are orthogonal are 0, -3, and 3.

To find the values of b for which the given vectors are orthogonal, we need to use the dot product of the vectors.

To determine if two vectors are orthogonal, their dot product should be equal to zero.

The dot product is calculated as follows:

Dot Product (A, B) = A1 * B1 + A2 * B2 + A3 * B3

Substituting the components of Vector A and Vector B:

(-11 * b) + (b * b^2) + (2 * b) = 0

Now, simplify the equation:

-11b + b^3 + 2b = 0
b^3 - 9b = 0

Factor the equation:

b(b^2 - 9) = 0

Now, we can find the values of b:

b = 0
b^2 - 9 = 0
b^2 = 9
b = ±3

So, the values of b for which the given vectors are orthogonal are 0, -3, and 3.

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Step-by-step explanation:

We know that m<1 = m<2 ( being alternate angels) So,

4+ 12x = 11x +12

12x - 11x = 12 - 4

x = 8

Therefore x = 8

Now

m<1 = 4 + 12 * 8

= 4 + 96

= 100

Hope this helps. :)

Answer:

FOIL

Step-by-step explanation:

" is just a mnemonic. It helps some people to remember all the steps needed to multiply two binomials. It "makes sense" because it's methodical and gives the right answer.

Answer: 4 ( x − 3 ) ( x + 3 )

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Below.

Step-by-step explanation:

2x - 6 = 2(x - 3)

4x + 12 = 4(x + 3)

x^2 - 9 = (x - 3)(x + 3)

So the LCM is:

4(x - 3)(x + 3)

or 4x^2 - 36.

When operating an aircraft under IFR conditions, certain minimum fuel requirements must be met. These requirements ensure that the aircraft has enough fuel to reach its destination and an alternate airport, if required. The minimum fuel requirements in IFR conditions are defined in Federal Aviation Administration (FAA) regulations (14 CFR 91.167).According to 14 CFR 91.167, the minimum fuel requirements for IFR flights are as follows: No person may operate a civil aircraft in IFR conditions unless it carries enough fuel (considering weather reports and forecasts and weather conditions) to accomplish the flight to the first airport of intended landing and, assuming normal cruising speed (fuel consumption), to fly from that airport to the alternate airport listed in the flight plan.

The minimum fuel requirement is the quantity of fuel necessary to fly for 45 minutes at normal cruising speed. If the first airport of intended landing has a forecast ceiling of at least 2,000 feet above the airport elevation and visibility of at least 3 miles, then no alternate airport is required. However, if the first airport of intended landing does not meet these requirements, an alternate airport must be listed in the flight plan. If the first airport of intended landing is forecast to have a 1,500-foot ceiling and 3 miles visibility at flight-planned ETA, an alternate airport is required.

Therefore, the minimum fuel requirements would be the amount of fuel necessary to fly from the departure airport to the destination airport basically the distance and then to the alternate airport listed in the flight plan, plus an additional 45 minutes of fuel for normal cruising speed.

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Answer:

cot x

Step-by-step explanation:

using the identities

csc x = \(\frac{1}{sinx}\)

sin(\(\frac{\pi }{2}\) - x) = cos x

then

csc x × sin (\(\frac{\pi }{2}\) - x)

= \(\frac{1}{sinx}\) × cosx

= \(\frac{cosx}{sinx}\)

= cot x

In this case, the mean absolute deviation of 8.5 indicates that, on average, the data points deviate from the mean by about 8.5 units.

Mean absolute deviation (MAD) is a statistical measure that represents the average distance between each data point and the mean of the data set. It is calculated by finding the absolute value of the difference between each data point and the mean, and then taking the average of these absolute differences. MAD is a useful measure of the variability or spread of a data set, and is often used as an alternative to the more common measure of standard deviation. Like standard deviation, MAD gives an indication of how spread out the data is, but unlike standard deviation, MAD is less sensitive to extreme values or outliers.

Here,

To find the mean absolute deviation of the data, we first need to calculate the mean (average) of the data:

Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8

Mean = 52

The mean of the data is 52.

Next, we need to calculate the absolute deviation of each data point from the mean. The absolute deviation is simply the absolute value of the difference between each data point and the mean:

|46 - 52| = 6

|54 - 52| = 2

|43 - 52| = 9

|57 - 52| = 5

|50 - 52| = 2

|62 - 52| = 10

|78 - 52| = 26

|42 - 52| = 10

Now, we can calculate the mean absolute deviation by taking the average of the absolute deviations:

Mean Absolute Deviation = (6 + 2 + 9 + 5 + 2 + 10 + 26 + 10) / 8

Mean Absolute Deviation = 8.5

The mean absolute deviation of the data is 8.5.

Interpretation: The mean absolute deviation represents the average distance between each data point and the mean of the data. In this case, the mean absolute deviation of 8.5 indicates that, on average, the data points deviate from the mean by about 8.5 units. This means that the data points are relatively spread out, with some points being much higher or lower than the mean.

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Answer:39.9

Step-by-step explanation:

By solving a linear equation, we will see that the two consecutive integers are -8 and -7

We know that the sum of an integer and 6 times the next consecutive integer is -50.

So if x is the integer, x + 1 will be the next consecutive integer, then we can write the equation:

x + 6*(x + 1) = -50

So we need to solve a linear equation, it will give:

x + 6x + 6 = -50

7x + 6 = -50

7x = -50 - 6

7x = -56

x = -56/7 = -8

Then the next integer is:

x + 1 = -8 + 1 = -7

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Answer:

The area of the rectangle is 22 m^2. The perimeter of the rectangle is 19.93

Step-by-step explanation:

The area of a rectangle is \(l*w\). The perimeter of a rectangle is \(2(l+w)\) or just adding up all 4 sides. Now, all you need to do is math.

\(A= 3.3 * (20/3) = 22\\P = 2 (3.3 + (20/3)) = 19.93\)

If your teacher has rounding rules, please follow it.

Answer:

I "turly" know the answer is 1/3, its quite easy actually

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B because your a biss

The derivative of the function at a specific point, f'(a), is equal to -2.

To find f '(a), we need to differentiate the given function

f(t) = (2t + 4) / (t + 3) with respect to t and then substitute t = a into the resulting expression.

Step 1: Differentiation

To differentiate the function, we can use the quotient rule, which states that if we have a function h(t) = g(t) / k(t), then the derivative of h(t) with respect to t is given by:

h '(t) = (g'(t) * k(t) - g(t) * k'(t)) / (k(t))²

Applying this rule to our function f(t) = (2t + 4) / (t + 3), we have:

f '(t) = [(2 * (t + 3) - (2t + 4) * 1)] / (t + 3)²

       = (2t + 6 - 2t - 4) / (t + 3)²

       = 2 / (t + 3)²

Step 2: Evaluating at t = a

To find f '(a), we substitute t = a into the expression we obtained in

Step 1:

f '(a) = 2 / (a + 3)²

Step 3: Simplification

To simplify the expression further, we can square the denominator:

f '(a) = 2 / (a² + 6a + 9)

Therefore, the main answer is f '(a) = -2.

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Answer:

r = V^2/a

Step-by-step explanation:

Here, we want to write the formula for r

What this simply mean is that we want to make r the formula subject

We have this as follows;

a = V^2/r

r = V^2/a

To solve the given partial differential equation using the finite difference method, we can approximate the second derivatives with finite difference formulas.

Here's how we can proceed:

Discretize the domain:

Divide the interval [0, 1] into small steps with a spacing of h, and the interval [0, 2] into small steps with a spacing of k. In this case, h = 1/2 and k = 2.

Define the grid:

Create a grid of points (xi, yj) where xi = i * h and yj = j * k for i = 0, 1, ..., 2/h and j = 0, 1, ..., 2/k.

Approximate the derivatives:

Use finite difference formulas to approximate the second derivatives. For the second derivative with respect to x, we can use the central difference formula:

Uxx ≈ (U[i+1][j] - 2U[i][j] + U[i-1][j]) / (h^2)

For the second derivative with respect to y, we can also use the central difference formula:

Uyy ≈ (U[i][j+1] - 2U[i][j] + U[i][j-1]) / (k^2)

Substitute the approximations into the partial differential equation:

Replace Uxx and Uyy in the given equation 8Uxx + 3Uyy = xy with their finite difference approximations.

Solve the resulting system of equations:

Rearrange the equation to isolate U[i][j] on one side and the known values on the other side. Solve the resulting system of equations for each grid point (xi, yj) using appropriate boundary conditions.

Calculate the values of U at each grid point:

Use the solved system of equations to find the values of U at each grid point (xi, yj).

By following these steps, you can obtain the numerical solution to the given partial differential equation using the finite difference method.

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Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:

x = 15/5 = 3 miles a day.

He would have to ride his bike 3 miles a day to meet his goal.

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For both part (a), the two nonnegative numbers, x and y must be 0 and 20 for the sum of their squares to be as large as possible, and 10 and 10 for the sum of their squares to be as small as possible. For part (b), x must be 20 and y should be 0 for largest possible result, whereas for smallest possible result x must be 0 and y should be 20.

Nonnegative numbers are numbers which are greater than or equal to zero.

For a much straightforward and easy way of solving such questions we can simply use the trial and error method.

For part (a), we can start off by taking both the numbers as 10. The sum of their squares will now be 100. If we take the numbers as 12 and 8, the sum of their squares will be 208. As we can see by increase one of the numbers we get a larger result. Thus, the largest possible values will be 20 and 0, which will give a result of 400. While carrying out this trial and error method we also found out that the minimum result was obtained when both the numbers were 10.

For part (b), a similar approach can be taken. Through trial and error method we observe that  20 + (0)^1/2 gives the largest possible result, whereas 0 + (20)^1/2 gives the smallest possible result.

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Answer:

y = 4x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 8 , thus

y = 4x + 8 ← equation of line

The equation in slope-intercept form is y = 4x+8

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given that, a line has a y-intercept of 8 and a slope of 4.

We know that, the general equation of a line is given by, y = mx+c

where m is slope and c is the y intercept,

Here, m = 4 and c = 8

Therefore, the equation can be, y = 4x+8

Hence, The equation in slope-intercept form is y = 4x+8

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Differential equations and boundary value problems are mathematical equations that contain derivatives of unknown functions and their variables.

These equations are used to model a wide range of physical, biological, and chemical processes. The seventh edition of Fundamentals of Differential Equations and Boundary Value Problems by R. Kent Nagle, Edward B. Saff, and Arthur David Snider is a comprehensive textbook that covers the fundamentals of these equations.Differential equations and boundary value problems are mathematical equations that contain derivatives of unknown functions and their variables.  It includes topics such as first order equations, higher order linear equations, systems of equations, Laplace transforms, Fourier series, and numerical methods. It also contains a variety of worked examples, exercises, and applications to help students understand the material. Examples include solving initial value problems, boundary value problems, and inverse problems. The book also provides a step-by-step approach to solving problems, including the use of formulas such as the Euler-Cauchy formula, the Picard-Lindelof formula, the Runge-Kutta formula, the Laplace transform, and the Fourier series.

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Complete question:

Find the solution to the differential equation dy/dx + 4y = 0, given the boundary values y(0) = 2 and y(2) = 0.

Answer:

a

Step-by-step explanation:

Answer:

A - The Moon reflects light from the Sun.

Step-by-step explanation:

As the moon moves around the sun in a one month cycle, different parts of it are exposed to the sun. When it is exposed to the light from the Sun it is reflected and people on Earth could see it at night, and sometimes during the day as well.

The boiling point of water can be affected by several factors, including pressure. The boiling point of water decreases with decreasing pressure. In this case, the pressure is given as 0.04 bar. At this pressure, water boils at a lower temperature than it would at atmospheric pressure, which is 1 bar.

The correct answer to this question is b. 35.6 C. This is because at a pressure of 0.04 bar, water boils at 35.6 C, which is lower than the standard boiling point of water at atmospheric pressure, which is 100 C.The boiling point of water decreases by about 1 C for every 28.5 millibars (0.0285 bar) of pressure reduction.

So, at a pressure of 0.04 bar, the boiling point of water is about 64 C lower than it would be at atmospheric pressure. Therefore, water boils at 35.6 C at a pressure of 0.04 bar.

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Segment AB was added to segment BC to get segment AC

representing it as an equation,

AC = AB + BC.

Substitute the values in the equation which means you are going to find the value of x.

77 = x + 16 + 4x +11

77 = 5x + 27

(group like terms)

77 - 27 = 5x

50 = 5x

( divide both sides by 5 to make x stand alone)

50/5=5x/5

10 = x

therefore ,x = 10.

To prove that segment AB =26, place x in the statement

AB = x+16

AB=10+16

AB=26/

Answer:

The number itself is 508.231

Step-by-step explanation:

Any multiplying each of the numbers, we will have the specific places

Hundreds

5 * 100 = 500

Tenths

0 * 10 = 0

ones

8 * 1 = 8

Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2

Hundredths = 3/100 = 0.03

Thousandths = 1/1000 = 0.001

So we simply sum all these to get the number itself as follows

500 + 8 + 0.2 + 0.03 + 0.001 = 508.231