Find the following limit or state that it does not exist. lim (3x3 – 2x2 + 4x + 2) X-→-4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. lim (3x3 – 2x2 + 4x + 2) = (Simplify your answer.) A. X-4 B. The limit does not exist. Find the following limit or state that it does not exist. lim X-3 2x2 + 7x + 3 9x - 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim X-3 2x2 + 7x +3 9x - 3 (Simplify your answer.) OB. The limit does not exist.

Answer:

.4

Step-by-step explanation: have a good day

Answer: 23/40 - (11)/30

Step-by-step explanation:

The graphed inequality can be written as:

y < -(4/3)*x + 5

At first, we can notice two things, the shaded region is below the line, and the line is a dashed line, so we know that the inequality will be:

y < linear equation.

The linear equation is something like:

y = a*x + b

By looking at the graph, we can see that the line passes through (0, 5) and (3, 1).

So the y-intercept is 5.

And the slope is:

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

So the linear equation is:

y = -(4/3)*x + 5

And the inequality is:

y < -(4/3)*x + 5

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Answer:

What do you need help with

Step-by-step explanation:

When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.

A cylinder is a solid geometric figure which has two parallel, congruent bases.

The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.

In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.

This is true for both right cylinders and oblique cylinders.

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The colour code needed is silver, green, red and blue for the tolerance of ± 10% on the 4 color band resistor.

For the given question;

Since it is silver in this instance, the resistor colour code table indicates a tolerance of  ± 10% .

Thus, the colour code needed is silver, green, red and blue for the 0.34

Ohm resistor with tolerance of ± 10%.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer: 300 i believe.

Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy

Step-by-step explanation:

An increase in an asset's expected return relative to that of an alternative asset, holding everything else constant, (option a) increases the quantity demanded of the asset.

Given,

Asset's expected return;-

The weight of each asset is multiplied by its projected return to determine the expected return. The total predicted return for your portfolio may then be calculated by adding the figures for each investment. Hence, the equation Asset 1 Weight x Expected Return = Expected Portfolio Return Plus (Asset 2 Weight x Expected Return)

Hence,

An increase in an asset's expected return relative to that of an alternative asset, holding everything else constant, (option a) increases the quantity demanded of the asset.

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Answer:

Step-by-step explanation:

y= money earned , x is the number of hours

k is the constant=y/x=12

b- if she worked 18 hours:

y=12(18)

c- if she earned 330 dollars:

330=12x

x=330/12

Answer:

option C

Step-by-step explanation:

We know that the toll road is 4 times faster than the side streets.If 'x' represents the number of minutes she usually spend taking the side streets. The  represents the time she takes taking the toll road.Also we need to create an equation to represent her total travel time, including wait time

Answer: 5x - 9

Hope this helps :)

Answer:the other one is wrong

Step-by-step explanation:5x - 9is wrong

Answer:

625

Step-by-step explanation:

625 I believe. If u do -5(-5) that’s 25 bc there’s four -5’s you will be left with 25(25) with is 625

The raster data model is commonly used to represent field features, but it is not suitable for representing point, line, and polygon features.

The raster data model is a grid-based representation where each cell or pixel contains a value representing a specific attribute or characteristic. It is well-suited for representing continuous spatial phenomena such as elevation, temperature, or vegetation density. Raster data is organized into a regular grid structure, with each cell having a consistent size and shape.

However, the raster data model has limitations when it comes to representing discrete features like points, lines, and polygons. Since raster data is based on a grid, it cannot precisely represent the exact shape and location of these features. Instead, they are approximated by the cells that cover their extent.

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Answer:

The answer is x > -1

Step-by-step explanation:

This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included. So in conclusion, Any number could be used to represent x as long as it is a greater number than -1. I hope this makes sense.

x>-1  and  x<-2 are two inequalities that would have the solution set as graphed.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

x>-1  and  x<-2 are the solutions of the given graph

This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included.

Any number could be used to represent x as long as it is a greater number than -1.

Hence, x>-1  and  x<-2 are two inequalities that would have the solution set as graphed.

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Answer: A is the answer

Step-by-step explanation:

The rest of the answers show rotation, flip, and dilation, so A seems like the correct answer

I hope this helps!

You should hold the ladder 9 feet from the house while your friend climbs back in through the open window.

To determine how far from the house you should hold the ladder, you can use the Pythagorean theorem. The ladder, your friend's climbing height, and the distance from the base of the ladder to the house form a right triangle.

Given that the ladder is 15 feet long and the open window is 12 feet above the ground, you can use the Pythagorean theorem, which states that the square of the hypotenuse (the ladder) is equal to the sum of the squares of the other two sides.

Using the formula:

a^2 + b^2 = c^2,

where a and b are the lengths of the legs and c is the length of the hypotenuse, you can calculate the distance from the base of the ladder to the house.

Let's assign a as the distance from the base of the ladder to the house, and b as the height of the window. Since a is the unknown, we'll solve for it.

a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 225 - 144
a^2 = 81
a = √81
a = 9 feet

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Answer:

3 &4

Step-by-step explanation:

The hyperbola with one focus point in common with the given hyperbola is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

To find a hyperbola that shares one focus point with the given hyperbola, we need to find another hyperbola with the same focus point but different characteristics (e.g., eccentricity or axis length).

The equation of the given hyperbola is:

[(y + 11)² / 15²] - [(x - 7)² / 8²] = 1

The general equation of a hyperbola with its center at (h, k) is:

[(y - k)² / a²] - [(x - h)² / b²] = 1

The center (h, k) of the given hyperbola is (7, -11).

To share one focus point, we need to keep the center at (7, -11) but change the values of a and b. The eccentricity of a hyperbola is defined as e = c / a, where c is the distance from the center to the focus.

Let's assume the new hyperbola has an eccentricity different from the given hyperbola. We'll keep the same value of c and change the value of a to get a different eccentricity.

Let's say the new hyperbola has a value of a' = 10. Since the eccentricity is different, the value of b' will change accordingly. Let's calculate b' using the eccentricity formula:

e = c / a'

15 / 10 = 1.5

Now, we can find b' using the eccentricity:

e = c / a' = c / 10

c = e * a' = 1.5 * 10 = 15

Now, we have the center (7, -11), the value of a' = 10, and the value of c = 15. The equation of the new hyperbola with one focus point in common is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

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A basis for the subspace of \($\mathbb{R}^3$\) spanned by \($S$\) is:

\($$\left\{\begin{pmatrix}1 \\2 \\4\end{pmatrix},\quad\begin{pmatrix}-1 \\3 \\4\end{pmatrix},\quad\begin{pmatrix}2 \\3 \\1\end{pmatrix}\right\}$$\)

To find a basis for the subspace of \(\mathbb{R}^3$ spanned by $S=\{(1,2,4),(-1,3,4),(2,3,1)\}$\), we need to find a set of linearly independent vectors that span the same subspace as \($S$\).

One way to do this is to use Gaussian elimination to reduce the matrix formed by the coordinates of the vectors in \($S$\) to row echelon form, and then to select the nonzero rows as the basis vectors.

First, we form the matrix:

\($$\begin{pmatrix}1 & -1 & 2 \\2 & 3 & 3 \\4 & 4 & 1\end{pmatrix}$$\)

Then we perform row operations to reduce the matrix to row echelon form:

\($$\begin{pmatrix}1 & -1 & 2 \\0 & 5 & -1 \\0 & 0 & -11\end{pmatrix}$$\)

We can see that there are three nonzero rows, which correspond to the first, second, and third columns of the original matrix, respectively. These nonzero rows are:

\($$\begin{pmatrix}1 \\2 \\4\end{pmatrix},\quad\begin{pmatrix}-1 \\3 \\4\end{pmatrix},\quad\begin{pmatrix}2 \\3 \\1\end{pmatrix}$$\)

These three vectors are linearly independent (to see this, we can observe that the reduced row echelon form of the original matrix has no zero rows, which implies that there are no nontrivial linear combinations of the vectors in \($S$\) that equal the zero vector), and they span the same subspace as \($S$\). Therefore, a basis for the subspace of \($\mathbb{R}^3$\) spanned by \($S$\) is:

\($$\left\{\begin{pmatrix}1 \\2 \\4\end{pmatrix},\quad\begin{pmatrix}-1 \\3 \\4\end{pmatrix},\quad\begin{pmatrix}2 \\3 \\1\end{pmatrix}\right\}$$\)

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A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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The two column proof procedure below has shown that  ΔABE ≅ ΔACD by SAS Congruency Postulate

To prove that ΔABE ≅ ΔACD, we will use a two column proof procedure for congruency.

Statement 1; AD ≅ AE

Reason 1; Given

Statement 2; ∠ABC ≅ ∠ACB

Reason 2; Given

Statement 3; AC ≅ AB

Reason 3; Definition of Isosceles Triangles

Statement 4; ΔABE ≅ ΔACD

Reason 4; SAS Congruency Postulate

Both triangles share the included angle A.

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Answer:

length is 20 width is 5

Step-by-step explanation:

35

5 20

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

The slope-intercept form a line is given by  

where m is the slope of a line and c is the y-intercept.

Here we use the Slope intercept form to find the line of the equation by using the equation we will draw the graph of the line

Here we have

Slope of line = -4/3

The point of the line

As we know y = mx + c is the line Here m is the slope of the line

From the given data, m = -4/3

=> y = (-4/3)x + c

=> 3y = -4x + 3c

Given that the point on the line is (-6, 2)

=> 3(2) = -4(-6) + 3c

=> 6 = 24 + 3c

=>  3c = 18

=> c = 6

Therefore,

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

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Answer:

124.53

Step-by-step explanation:

7.15×105=750.75

5.964×105=626.22

750.75-626.22=  124.53

lmk if this is right or not :)

Answer with step-by-step explanation:

(7.15 × 105) - (5.964 × 105) = 124.53

750.75 - 626.22 = 124.53

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