Suppose $a$, $b$ and $c$ are integers such that the greatest common divisor of $x^2 ax b$ and $x^2 bx c$ is $x 1$ (in the set of polynomials in $x$ with integer coefficients), and the least common multiple of $x^2 ax b$ and $x^2 bx c$ is $x^3-4x^2 x 6$. Find $a b c$.

Answer:

2.1

Step-by-step explanation:

Answer:

A.

Line A

Answer:

21.06

Step-by-step explanation:

the answer is 21.06

hope this helped!

The employer of Bill’s FICA  should withhold D. $24.92 in taxes

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

To solve this exercise, the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where:

Information about the problem:

Using the percentage formulate, we get how much FICA tax should his employer withhold:

n= (% * nt) / 100

n = (7.65 * $325.78)/100

n = $2492.22/100

n = $24.92

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Answer: imaginary axis

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

the letter j is HALFway between four and three so it is 3 1/2

(a) To find the probability that only one machine is in working condition after two days, we need to determine the probability of transitioning from state (1, 1) to state (1, 0) after two days.

From the transition probability matrix, we see that to transition from (1, 1) to (1, 0) in one day, both machines need to remain operational, which has a probability of (1 - p) * (1 - p) = (1 - p)^2.

Therefore, the probability of transitioning from (1, 1) to (1, 0) after two days is ((1 - p) * (1 - p))^2 = (1 - p)^4.

(b) To find the expected number of days until both machines are down, given that currently both machines are operational, we need to consider the transition probabilities from state (2, 0) to state (0, 1).

From the transition probability matrix, we see that to transition from (2, 0) to (0, 1) in one day, both machines need to fail, which has a probability of p * p = p^2.

Therefore, the expected number of days until both machines are down, given that both machines are currently operational, is 1 / (p^2).

(c) To find the steady-state probabilities, we need to solve the equation πP = π, where π is the row vector of steady-state probabilities and P is the transition probability matrix.

Solving this equation will give us the steady-state probabilities for each state (i, j). Since the given matrix is not provided, it is not possible to calculate the exact steady-state probabilities without the specific values of the transition probabilities.

(d) To determine the percentage change in the long-run average benefit per day if p changes from 0.3 to 0.2, we would need to know how the revenue R TL is related to the probability p. Without this information, it is not possible to calculate the percentage change.

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Answer:

Step-by-step explanation:

The two equations are 8x-10y=-23 and 9x+10y=-16.

If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).

The answer is A.

Answer:

i think it is A

Step-by-step explanation:

if right pls give brainliest

Nvm it is right pls give brainliest i need 5 to get to next rank

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

For every hour that passes, the container loses 1.5 liters of oil.

To write a linear equation to estimate the remaining amount of oil based on the elapsed time, we can use the slope-intercept form of a linear equation, y = mx + b, where y represents the remaining amount of oil, x represents the elapsed time, m represents the slope of the line, and b represents the y-intercept.

Since the container is leaking at a constant rate, we can assume that the slope of the line is constant. We can find the slope by using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) represents the first data point (hours, liters of oil), and (x2, y2) represents the second data point.

Using the given data, we have:

m = (y2 - y1) / (x2 - x1)

m = (4.5 - 6) / (2 - 1)

m = -1.5

This means that for every hour that passes, the container loses 1.5 liters of oil.

To find the y-intercept, we can use one of the data points and solve for b:

y = mx + b

6 = (-1.5)(1) + b

b = 7.5

This means that at time zero (when no time has elapsed), there are 7.5 liters of oil remaining in the container.

Therefore, the linear equation to estimate the remaining amount of oil based on the elapsed time is:

y = -1.5x + 7.5

This equation tells us that as time passes, the amount of oil in the container decreases at a constant rate of 1.5 liters per hour. The y-intercept of 7.5 represents the initial amount of oil in the container before any time has elapsed.

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Answer:

D

Step-by-step explanation:

The last line is not a straight line because when you start from 1 and plug higher numbers, you see that forms a quadratic curve or parabola.

By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

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Answer:

answer is D from what I got

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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Answer:

This shape would be a trapezoid :)

Step-by-step explanation:

If the length,breadth, height of cuboid are 16 m, 5 m,4 m , slant height of pyramid is 10m,  height be 6 m then the surface area of composite figure be 444 \(m^{2}\).

Given that the length,breadth,height of cuboid are 16m,5 m, 4m and slant height be 10 m and height be 6 m.

Surface area is basically sum of area of all the sides of a figure.

Surface area of composite figure =  area of cuboid less area of common side + area of 2 slant sides of pyramid+area of two triangles.

=2(lb+bh+hl)-(lb)+2(slant height*breadth of cuboid)+2[1/2* length of cuboid* height of triangle)

=2(16*5+5*4+4*16)-16*5+2(10*5)+2[1/2*16*6]

=2(80+20+64)-80+2*50+2(48)

=2(164)-80+100+96

=328-80+196

=248+196

=444\(m^{2}\)

Hence the surface area of composite figure having a cuboid and pyramid on top is 444\(m^{2}\).

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The length of the third side can be in range of [1, 17].

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Given is that in triangle ABC, AB = 6 and BC = 11.

In a triangle, the sum of two sides of a triangle is always greater than the third side. This means -

AB + BC > AC

(6 + 11) > AC

AC < 17

Therefore, the length of the third side can be in range of [1, 17].

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The first approximation of 537 can be written as a = 536 and b = 1, where the greatest common divisor of a and b is 1.

In number theory, the greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. In this case, since a = 536 and b = 1, the GCD of a and b is 1. This means that 536 and 1 have no common factors other than 1.

The first approximation of 537 can be expressed as a product of these two numbers, a and b, where a represents the larger part of the approximation and b represents the smaller part. In this case, a is equal to 536, and b is equal to 1. Since the GCD of a and b is 1, it indicates that 536 and 1 have no common factors other than 1. This approximation may not be the most accurate, but it satisfies the condition of having a GCD of 1.

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Answer:

m∠B ≈ 28.05°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).  

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1:  Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2:  Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3:  Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

To generate the most original solution to the problem of adding a new building on an already crowded college campus, Lonnie can employ various techniques and strategies that are often used in the field of architecture and design.

Lonnie could take:

Research and Analysis:

Before developing a design solution, Lonnie can research and analyze the existing campus architecture and the surrounding environment.

By understanding the context, Lonnie can identify potential constraints, opportunities, and design challenges, which can inform his design decisions.

Creative Brainstorming:

Lonnie can brainstorm and generate a wide range of design ideas, without censoring or judging them.

This can be done individually or in a group, using various brainstorming techniques such as mind mapping, word association, or random stimulus.

Sketching and Modeling:

Lonnie can explore and refine his design ideas by sketching and modeling them in two- or three-dimensions.

This can help him visualize the design in different scales and perspectives, and experiment with different materials, textures, and colors.

Prototyping and Testing:

Lonnie can create physical or digital prototypes of the design to test its feasibility, functionality, and aesthetic qualities.

This can involve building mock-ups, conducting simulations, or using virtual reality tools.

Cross-Disciplinary Collaboration:

Lonnie can collaborate with experts from different fields, such as engineering, sustainability, psychology, or sociology, to incorporate their knowledge and perspectives into the design process.

This can help Lonnie generate innovative and holistic solutions that address multiple needs and values.

Lonnie can generate original and effective design solutions that meet the needs and aspirations of the campus community.

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Answer:

4(x-5)(3x² +1)

Step-by-step:

Add and subtract the second term to the expression and factor by grouping.

Hope this helps!

The Total Surface Area = 4 triangles + 1 square

The TSA of the Pyramid = 4(1/2 bh) + LxL

TSA of the pyramid =

To evaluate ∬ᵣ sin(θ) dA over region R, where R is the region in the first quadrant lying outside the circle r = 87 and inside the cardioid r = 87(1 + cos(6θ)): the answer is 0.

The given region R lies between two curves: the circle r = 87 and the cardioid r = 87(1 + cos(6θ)). The region is bounded by the x-axis and the positive y-axis.

Since the region lies outside the circle and inside the cardioid, there is no overlap between the two curves. Therefore, the region R is empty, resulting in an area of zero.

Since the integral of sin(θ) over an empty region is zero, the value of ∬ᵣ sin(θ) dA is 0.

Hence, the main answer is 0.

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Answer:

what? answers I can see it

Step-by-step explanation:

please check before you message

in a large population, 68 % of the people have been vaccinated. if 3 people are randomly selected, 0.968 is the probability that at least one of them has been vaccinated.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being represented as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

The probability is a measure of how likely an event is to occur. It gauges the event's degree of certainty. P(E) = Number of Favorable Outcomes/Number of All Outcomes is the formula for probability.

Given that,

In a large population, 68% of the people have been vaccinated.

Among them 3 people are randomly selected.

probability that at least one of them is vaccinated:

= 1 - P (none of the 3 has been vaccinated)

= 1 - (1 - 0.68)³

=0.968

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dw/dt at t = 4 = -2/4 + 4 = 3

We can use the chain rule to find dw/dt:

dw/dt = (∂w/∂x) (dx/dt) + (∂w/∂y) (dy/dt)

First, we need to find ∂w/∂x and ∂w/∂y:

∂w/∂x = -1/x

∂w/∂y = e^y

Next, we can substitute x = t^2 and y = ln t into these expressions:

∂w/∂x = -1/(t^2)

∂w/∂y = e^(ln t) = t

We also have dx/dt = 2t and dy/dt = 1/t. Substituting all these values into the formula for dw/dt, we get:

dw/dt = (∂w/∂x) (dx/dt) + (∂w/∂y) (dy/dt)

= (-1/(t^2)) (2t) + (t) (1/t)

= -2/t + t

Finally, we can evaluate dw/dt at t = 4:

dw/dt = -2/t + t

dw/dt at t = 4 = -2/4 + 4 = 3

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Did you ever get the answer

Answer:

Im the king of answers

Step-by-step explanation:

The answer is A, C, and E

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Both the angles can be equated because they are alternate interior angle.

Hence,

3x = 2x + 20

→ 3x - 2x = 20

→ x = 20

Answer:

x=5

Step-by-step explanation:

add 3 to both sides of the equation: -3+3=0 12+3=15 simplified: 6x=3x+15 then subtract 3x from both sides of the equation. simplified: 3x=15

then divide both sides by 3. simplified: x=5