If a and b are nonzero real numbers, A = [a a b b], and B = [a a -a -a], find AB and BA. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. AB = and BA = (Simplify your answers.) AB and BA are not defined.

Step-by-step explanation:

oh, come on ! you don't understand what ordered pairs or point coordinates stands for ?

it is simple, the first number is the x value, and the second number is the y value.

so, all we need to do here is to take every pair, put their values in the places of x and y in the inequality, and see if it is true with these specific values or not.

if yes, then that pair is a solution.

(6, -33)

-33 >= -8×6 +7

-33 >= -48 + 7

-33 >= -41 true, -33 is indeed bigger than -41

in the same way as -1 is bigger than -2.

(-1, 12)

12 >= -8×-1 + 7

12 >= 8 + 7

12 >= 15 false

(8, -65)

-65 >= -8×8 + 7

-65 >= -64 + 7

-65 >= -57 false

(2, -1)

-1 >= -8×2 + 7

-1 >= -16 + 7

-1 >= -9 true, -1 is bigger than -9

(-6, 47)

47 >= -8×-6 + 7

47 >= 48 + 7

47 >= 55 false

The amount of zippy's gross profit (otherwise know as gross margin) is: $25,337.

Sales revenue $43,189.84

(7,796 units × $5.54)

Less Cost of goods sold $17,852.84

[($22,900/10,000)×7,796]

Gross profit $25,337

( $43,189.84-$17,852.84)

Therefore the amount of zippy's gross profit (otherwise know as gross margin) is: $25,337.

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Answer:

-1

Step-by-step explanation:

(fg)(x) is the product of f(x) and g(x).

We can find (fg)(4) by first finding f(4) and g(4) and then multiplying the results together:

f(x) = 10 - 3x, so f(4) = 10 - 3(4) = -2, and

g(x) = x - 3/2, so g(4) = 4 - 3/2 = 1/2

Then (fg)(4) = (-2)(1/2) = -1

Answer:

see explanation

Step-by-step explanation:

(a)

\(\frac{AB}{XY}\) = \(\frac{6}{10}\) = \(\frac{3}{5}\)

\(\frac{AC}{XZ}\) = \(\frac{12}{20}\) = \(\frac{3}{5}\)

\(\frac{BC}{YZ}\) = \(\frac{15}{25}\) = \(\frac{3}{5}\)

(b)

Fourth statement is correct one.

Since the ratios of corresponding sides are all equal, then

Δ ABC and Δ XYZ are similar

Answer:

Step-by-step explanation:

NOSEEEEEE

Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

To determine the z-score of a raw data x, we have the formula below:

Based on the question, our mean is 73 and standard deviation is 10.8.

a. x = 85 (raw data is 85)

Let's plug these values to the z formula.

We subtracted the mean from the raw data first (85 - 73 = 12). Then, we divide the results by 10.8. The result is 1.11.

Hence, equivalent z-score of x = 85 is 1.11.

Answer:

113

Step-by-step explanation:

Finding a remainder seems like you should be dividing. Remember everything is a shortcut for something else in math. So first you learn Long Division, but that's too much writing, so then you learn Synthetic Division, but there's an even shorter shortcut. It is called Remainder Theorem. If you just substitute 3 (because x-3 in the question) into the function, and you calculate it, you get the remainder.

f(x) = 4x^3 + 5

f(3) = 4(3)^3 + 5

f(3) = 4(27) + 5

= 108 + 5

= 113

See image.

The average speed for the whole journey is 24.3 km per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

It should be noted that:

Speed = Distance / Time

Distance = 32km + 41km

= 73km

Time = 1 hour + 2 hours

Time = 3 hours

Speed = Distance / Time

Speed = 73 / 3

Speed = 24.3 km per hour.

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Answer:

Im going with B hope this helps

Step-by-step explanation:

Answer:

3.) \(y = \frac{2}{5} x - 7.2\)

4.) \(y = -3x - 1\)

Step-by-step explanation:

You have to find the y-intercept in both questions to put it in point-slope form. The first step is to substitute y and x from the question into point slope-form. You get -6 = m(-3) + b. Then you substitute for the slope which is 2/5. You end up with -6 = \(\frac{2}{5}\) (-3) + b. Solve for b which is -7.2 and put the slope and y-intercept into the final point-slope equation. You follow the same steps for question 4.

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer:

2x(4x-8)=o

0Step-by-step explanation:

but i know this  3x^2-4x-8=-6

Answer:

x=0,2

Step-by-step explanation:

Here,

or, 3x=0                               or,    4x-8=0

or, x=0/3                              or,    4x=8

∴x=0                                 or,    x=8/4

                                       ∴ x=2

∴x=0,2

Step-by-step explanation:

draw a triangle then label corners a and b. spread them 120 degrees apart and there you have it.

The solution to the given boundary value problem is\(\[y(x) = \frac{2e^{4x} - 2e^{4\pi/2} \cos x + 3e^{4\pi/2} \sin x}{e^{4\pi/2}}\]\)

We are given a boundary value problem as follows:

\(\[y^{\prime \prime} - 8y^\prime + 17y = 0,\quad y(0) = 3,\quad y\left(\frac{\pi}{2}\right) = 2\]\)

To solve the given boundary value problem, we need to first find the general solution of the differential equation:

\(\[y^{\prime \prime} - 8y^\prime + 17y = 0\]\)

The characteristic equation is obtained by assuming the solution of the form\($y=e^{mx}$\) and substituting it in the differential equation:

\(\[m^2 e^{mx} - 8m e^{mx} + 17e^{mx} = 0\]\[e^{mx}(m^2-8m+17)=0\]\)

Since \($e^{mx} \neq 0$\), the characteristic equation is:

\(\[m^2 - 8m + 17 = 0\]\)

Solving for m, we get:

\(\[m = \frac{8 \pm \sqrt{64 - 68}}{2} = 4 \pm i\]\)

Thus, the general solution of the differential equation is:

\(\[y(x) = c_1 e^{(4+i)x} + c_2 e^{(4-i)x}\]\)

where\($c_1$\) and \($c_2$\) are arbitrary constants.

Now, we need to find the particular solution that satisfies the given boundary conditions.Using the initial condition \($y(0) = 3$\) , we get:

\(\[y(0) = c_1 + c_2 = 3\]\)

Using the boundary condition \($y\left(\frac{\pi}{2}\right) = 2$\) , we get:

\(\[y\left(\frac{\pi}{2}\right) = c_1 e^{(4+i)\pi/2} + c_2 e^{(4-i)\pi/2} = 2\]\)

Now, we solve for c_1 and c_2. Multiplying the second equation by \($e^{(4-i)\pi/2}$\)  and simplifying,

\(\[c_1 e^{4\pi/2} + c_2 e^{4\pi/2} = 2e^{(4-i)\pi/2}\]\)

Using the first equation to eliminate c_2. Substituting this in the above equation,

\(\[c_1 e^{4\pi/2} + (3-c_1) e^{4\pi/2} = 2e^{(4-i)\pi/2}\]\[4c_1 e^{4\pi/2} = 2e^{(4-i)\pi/2} - 3e^{4\pi/2}\]\[c_1 = \frac{2e^{(4-i)\pi/2} - 3e^{4\pi/2}}{4e^{4\pi/2}}\]\)

Using the first equation to solve for c_2,

\(\[c_2 = 3 - c_1 = 3 - \frac{2e^{(4-i)\pi/2} - 3e^{4\pi/2}}{4e^{4\pi/2}} = \frac{12 - 2e^{(4-i)\pi/2} + 3e^{4\pi/2}}{4e^{4\pi/2}}\]\)

Therefore, the solution to the given boundary value problem is:

\(\[y(x) =\) \(\frac{2e^{4x} - 2e^{4\pi/2} \cos x + 3e^{4\pi/2} \sin x}{e^{4\pi/2}}\]\)

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Answer:

6/11 or 0.545

If 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.

It is given to us that -

17 guests are in attendance at a baby shower

5 of them are randomly selected for a prize

All the 5 prizes are identical

We have to find out the number of ways in which the prizes can be awarded.

In this case, we have to use the combination formula to find the required answer.

We know that the combinations of n number of objects taken r at a time can be represented by the formula as -

\(C(n,r) = r!\frac{n!}{(n-r)!}\)   ------ (1)

where,

n = total objects in the given set

r = total chosen objects from the given set

According to the given information, we have -

n = 17

r = 5

Substituting these values in equation (1), we have

\(C(n,r) = r!\frac{n!}{(n-r)!}\\= > C(n,r) = 5!*\frac{17!}{(17-5)!}\\= > C(n,r) = 5!*\frac{17!}{12!}\\= > C(n,r) = 89107200\)

Therefore, if 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.

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Answer:

KL = 81.8

Step-by-step explanation:

The sides must be proportional.

\(\frac{KJ}{GF}\) \(= \frac{KL}{GH}\)

Subtitute the number in and you can calculate KL

The measure of side KL will be 81.8 units for the given quadrilateral IJKL.

Similar figures are defined as two figures with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side KL

We have to determine the measure of side KL.

As we know that the sides must be proportional.

So GH/KL = GF/KJ

Substitute the known values in the above equation,

21/KL = 13.6/53

Apply the cross-multiplication, and we get

KL = (53 × 21)/13.6

KL = 1113/13.6

KL = 81.8

Thus, the measure of side KL will be 81.8 units.

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Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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Answer:

8

Step-by-step explanation:

V=whl=2·1·4=8

Volume = width times length times height = 2 x 1 x 4 =8

I hope this helps!!

Answer:

Non-Proportional

Hope this helps!

Take care!

Answer:

i think the answer is non- proportional

Step-by-step explanation:

Answer:

B. The diagonal of a rectangle is a line of symmetry.

Step-by-step explanation:

because the sides are not the same length. if you fold this rectangle diagonally so that Corner A meets Corner D, they will not match.

Thank Me later!

(d) an exponential function is the correct answer

An exponential function best models the total membership in this situation.

In the given scenario, the total membership at Total Fitness Sports Gym had 125 members in 2017, and the manager observed an annual increase of 5%. The key observation here is that the growth rate is constant and is expressed as a percentage.

Exponential functions are characterized by a constant growth rate or decay rate over time. They are often used to model situations where there is exponential growth or decay. In this case, the annual increase of 5% suggests that the membership is growing exponentially each year.

The general form of an exponential function is given by the equation:

y = a * (1 + r)^x

where:

- y represents the total membership,

- a represents the initial membership (125 members in 2017),

- r represents the growth rate (5% or 0.05), and

- x represents the number of years from the initial year (2017).

By substituting the given values into the equation, we have:

y = 125 * (1 + 0.05)^x

This equation represents an exponential function that models the total membership at the gym. As time progresses (x increases), the membership grows at a rate of 5% annually.

Therefore, the type of function that best models the total membership in this situation is an exponential function.

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There are 6 different ways to select a cone if it matters which flavor is on top, which is in the middle and which is on the bottom by permutation.

Permutation is the arrangement of objects when the order of arrangement matters.

Here the arrangement is done in 3! ways.

The formula used is

nPr= n!/(n-r)!

Here n=3, r=3

Therefore 3P3= 3!/ (3-3)!= 3!/ 0! =3!= 6 ways( since 0!=1 )

Alternatively,

When selecting a cone, there are six distinct possibilities if it matters which flavor is on top, which is in the middle, and which is on the bottom.

There are three options for the flavor that will be on top, followed by two options for the middle flavor, and then the remaining flavor for the bottom cone.

This gives you 3*2*1=6 possible cone arrangements.

Suppose we have three flavors: vanilla, chocolate, and strawberry.

If it is important which flavor is on top, which is in the middle, and which is on the bottom, there are only six distinct options that can be chosen for the cone. The six choices are:

v a n i l l a, c h o c o l a t e, s t r a w b e r r y

v a n i l l a, s t r a w b e r r y, c h o c o l a t e

s t r a w b e r r y, c h o c o l a t e, v a n i l l a

s t r a w b e r r y, v a n i l l a, c h o c o l a t e

v a n i l l a, c h o c o l a t e, s t r a w b e r r y

c h o c o l a t e, s t r a w b e r r y, vanilla

Therefore, there are 6 different ways to select a cone if it matters which flavor is on top, which is in the middle and which is on the bottom.

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The distance between the two parallel sides of the trapezium is 8 cm.

A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.

The area of a trapezium is expressed as:

Area = 1/2 × ( a + b ) × h

Where a and b are base a and base b, h is height.

Given that:

Area of the trapezium = 36 cm²

Base a = 3 cm

Base b = 6 cm

Height h =?

Plug the given values into the above formula and solve for height:

Area = 1/2 × ( a + b ) × h

36 = 1/2 × ( 3 + 6 ) × h

36 = 1/2 × ( 9 ) × h

36 = 4.5 × h

h = 36 / 4.5

h = 8 cm

Therefore, the height of the trapezium is 8 cm.

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Answer:

The range is 12, 0, -6

Explanation:

Given the function:

f(x) = 4 - 2x

We want to find the range of this function, given that the domain is:

-4, 0, 5

This can be done by replacing x by each element ot the domain in the given function, find f(x).

For element -4

f(-4) = 4 - 2(-4)

= 4 + 8

= 12

For element 0

f(0) = 4 - 2(0)

= 4 - 0

= 0

For element 5

f(5) = 4 - 2(5)

= 4 - 10

= -6

The range is 12, 0, -6

The independent quantity is the number of days into the monitoring and the dependent quantity is the number of mole rats counted.

The independent quantity refers to a variable that is not influenced by any other factor and can be changed freely in an experiment or study.

In this case, the number of days into the monitoring is the independent quantity because it can be varied at the discretion of the zoo keeper.

The dependent quantity, on the other hand, is a variable that depends on the independent quantity and is affected by changes in it.

In this case, the number of mole rats counted is the dependent quantity because it is determined by the number of days into the monitoring. The zoo keeper counts a different number of mole rats based on how many days have passed, which is determined by the independent quantity.

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A zoo keeper thinks there is a problem with the Mole-Rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats, 13 days in he counts 108.

what information is provided?