Help me please
Surds

Help Me Please Surds

Answers

Answer 1

Answer:

12\(\sqrt{6}\) + 8\(\sqrt{15}\) + 12 + 4\(\sqrt{10}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(4\(\sqrt{3}\) + 2\(\sqrt{2}\) )(3\(\sqrt{2}\) + 2\(\sqrt{5}\) )

Each term in the second factor is multiplied by each term in the first factor, that is

4\(\sqrt{3}\) (3\(\sqrt{2}\) + 2\(\sqrt{5}\) ) + 2\(\sqrt{2}\) (3\(\sqrt{2}\) + 2\(\sqrt{5}\) ) ← distribute both parenthesis

= 12\(\sqrt{6}\) + 8\(\sqrt{15}\) + 12 + 4\(\sqrt{10}\)


Related Questions

Find d such that detA=0, where A= ⎝


5
0
4

2
d
0

1
−1
1



Answers

The value of d that makes the determinant of A equal to 0 is d = -2.

To find the value of d that makes the determinant of A equal to 0, we need to solve the equation det(A) = 0.

Let's expand the determinant of A using the first row:

det(A) = 5(0(d) - 0(1)) - 0(4(-2) - 0(1)) + 4(2(1) - 0(1))

= 5(0) - 0(0) + 4(2)

= 0 + 8

= 8

Since we want the determinant to be 0, we have the equation 8 = 0. This equation has no solution.

However, we can also observe that when d = -2, the second row of the matrix becomes a multiple of the first row:

2(-2) + (-1)(1) + 1(1) = -4 - 1 + 1 = -4 - 1 + 1 = -4 = 0

This indicates that the rows of the matrix are linearly dependent, resulting in a determinant of 0.

Therefore, the value of d that makes the determinant of A equal to 0 is d = -2.

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Triangle ABC is labeled with points A(5, 2), B(1, 2) and C(3, 6) on a coordinate plane. Find the coordinates of A' B' C' after a reflection over the x-axis.

Answers

Answer:

After reflection over the x-axis, we have the coordinates as follows;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

Step-by-step explanation:

Here, we want to find the coordinates A’ B’ and C’ after a reflection over the x-axis

By reflecting over the x-axis, the y-coordinate is bound to change in sign

So if we have a Point (x,y) and we reflect over the x-axis, the image of the point after reflection would turn to (x,-y)

We simply go on to negate the value of the y-coordinate

Mathematically if we apply these to the given points, what we get are the following;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

ANSWER FOR BRAINLIEST:

Mark all of the following that are measures of Central Tendency.


Mean

Range

Mode

Median

Mean Absolute Deviation

Outlier

Answers

Step-by-step explanation:

I think mode,range and median dpo ako sure

An artist used 666 tubes of red paint, 222 tubes of yellow paint, 131313 tubes of white paint, and 999 tubes of blue paint for a mural.

Answers

Answer:

The Mona Lisa

Step-by-step explanation:

Da Vinci?

The side lengths of a triangle can be modeled by the following expressions.
Side a: 3x - 1
Side b: x + 9
Side c: 12x -4
If the perimeter of the triangle is 52 inches, what is the value of x?

Answers

(3x-1)+(x+9)+(12x-4)=52
16x+4=52
16x=48
x=3

Quiz Active
1
2
B
8
The figure shows five points. A point has been translated right and up.
D
9 10
Based on the graph, which statements about the points could be true? Check all that apply.

Answers

The point (5, 10) has not been translated in the given figure.Hence this statement is false.

The graph shows five points.

A point has been translated right and up.

Now, the statements that are true based on the graph are as follows:

The point (9, D) has been translated right and up.Answer: False

There is no information given about point (9, D).

So, we cannot say anything about the translation of point (9, D).

The point (1, 8) has been translated right and up.Answer: True

As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.

The point (2, 9) has been translated right and up.Answer: False

The point (2, 9) has not been translated in the given figure.

So, this statement is false.

Statement 4: The point (8, B) has been translated right and up.Answer: True

The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.

The point (5, 10) has been translated right and up.Answer: False

The point (5, 10) has not been translated in the given figure.

So, this statement is false.

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33 percent of 300
And 24 percent of 300 PLSS

Answers

the first one is 99 and the second one is 72

Hope this helped

Answer:

33% of 300 is about 99, and 24% of 300 is about 72

Step-by-step explanation:

Hope this helps.

find angle DEY
find angle DEF
will give brainliest

find angle DEY find angle DEFwill give brainliest

Answers

Answer:

Strictly speaking, there is not enough information to solve the problem.

If we assume m<EFY = 90, then:

m<DEY = 29

m<DEF = 58

Step-by-step explanation:

Going by the exact information shown, the answer is really that there isn't enough information to answer the question.

On the other hand, if angle EFY is a right angle, then we have two right triangles that can be proved congruent by HL. Then by CPCTC, angles DEY and FEY are congruent. We set their measures equal and solve for y.

4y - 7 = 2y + 11

2y = 18

y = 9

m<DEY = 4y - 7 = 4(9) - 7 = 36 - 7 = 29

m<DEF = 2m<DEY = 2(29) = 58

6. what are the two most generic and widely used valuation multiples?

Answers

The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.

1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.

A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.

2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).

The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.

The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.

Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.

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Solve the formula for the volume V = πr 2 h for h.

Answers

Answer:

The answer is 5 because it is what it is.

Step-by-step explanation:

PLEASE HELP THANKS :)
Q2.) Twice a number plus four times another is 42. The sum of the numbers is 18. What is the larger number?

3

10

15

8

Answers

Answer: 15
Explanation: quick maths in the brain

Solve for x.
Your answer must be simplified.

Solve for x.Your answer must be simplified.

Answers

I believe it is x < 120 (Btw the < is supposed to have a line under but I can’t put one! Pls give brainliest if can)

solve for x
5 - 2x^2 = -15​

Answers

The answer is 3.16227766

Penelope is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Penelope's test score (out of 40) if she got 3 questions wrong? What would be her score if she got xx questions wrong?

Answers

Answer:

25

Step-by-step explanation:

Please help!! I don't get it!

Please help!! I don't get it!

Answers

Answer:

64 times 7.5 and you will get your answer

Step-by-step explanation:

16*4=64

64*7.5=x

x is what you need to find

There is a leak in a container that holds a certain nontoxic gas. Each hour, it loses 10% of its volume.
Write an equation that models the amount of gas left in the container after x hours, assuming there were 300 cubic centimeters in the container before the leak. Then use your equation to determine the amount of gas left in the container after 11 hours. Round your answer to the nearest tenth.

Answers

Answer:

94.1 cm^3 to nearest tenth.

Step-by-step explanation:

Each hour 100 - 10 = 90% of the gas remains.

90% = 0.90.

At 0 hours the volume = 300 cm^3

The equation is

Amount (V) after x hours = 300(0.90)^x.

The amount after 11 hours:

V = 300(0.90)^11

= 94.14

Answer:

y = 300(0.9)^x

94.1 cm³

Step-by-step explanation:

This is an exponential decay.

y = 300(0.9)^x

where x is the number of hours, and y is the amount after x hours.

y = 300(0.9)^11

y = 94.1

Which of the following best describes the use of the formula S = (n-2)180°,
where n is the number of sides?

Which of the following best describes the use of the formula S = (n-2)180,where n is the number of sides?

Answers

Answer:

C. It is used to find the sum of interior angles

Also , it can be used to find the number of triangles in the polygon,

Step-by-step explanation:

Example :

Find the sum of interior angles whose no of sides is 6 and give the name of the polygon

  Solution

S = (n-2)180°

S = (6-2)180°

S = (4)180°

S = 720°

The polygon is a Hexagon

I hope it helps  :)

S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The sum of the interior angle of the polygon is given as,

S = (n – 1)180°

Where, n be the number of the sides.

Then the correct option is A.

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An office building casts a shadow 107 ft long and at the same time a 7.0 ft post casts a shadow 6.0 ft long. What is the height of the building?

Answers

The height of the office building casting a shadow of 107ft is approximately 124.83 ft.

What is the height of the building?

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the question;

Shadow of building = 107 ftHeight of post = 7.0 ftShadow of post = 6 ftHeight of building = x

Ratio of height of office building and its height = x / 107

Ratio of height of post and its height = 7 / 6

Equate the two to get the height of the office building.

x / 107 = 7 / 6

Solve for x

x × 6 = 7 × 107

6x = 749

x = 746 / 6

x = 124.83 ft

Therefore, the height of the building is 124.83 ft.

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Determine whether the lines are parallel, perpendicular, or neither

X+7y = -3 and y= 7x + 25

Answers

Answer:

perpendicular

Step-by-step explanation:

7y = -x - 3

y = -1/7 x - 3/7


-1/7 is the reciprocal of the opposite, so the lines are perpendicular

The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?​

Answers

Answer:

0.28277

I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.

Step-by-step explanation:

Cos Milky Said it.

Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
no pic ANSWER IT

Answers

Answer:

12?

Step-by-step explanation:

Answer:The Answer is 10!!!

Step-by-step explanation:

If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.

you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.

You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100.  Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.

the force, F newtons (N) between two particles is inversely proportional to the square of the distance, d m, between them. When the particles are 2m apart,
the force between them is 10 N. Find
1- the force between the particles when they are 5m apart,
2- the distance between the particles when the force between them is 25 N.

Answers

The force is 1.6N and the distance between them is 1.3 meters

The force between them

An inverse variation from force to the square of distance is represented s:

k = Fd^2

Where k represents the variation constant

When F = 10, d = 2.

So, we have:

k = 10 * 2^2

k = 40

Substitute k = 40 in k = Fd^2

Fd^2 = 40

When d = 5, we have:

F * 5^2 = 40

This gives

25F = 40

Divide by 25

F = 1.6

Hence, the force is 1.6N

The distance between them

In (a), we have:

Fd^2 = 40

When F = 25, we have:

25 * d^2 = 40

This gives

25d^2 = 40

Divide by 25

d^2 = 1.6

Take the square root of both sides

d = 1.3

Hence, the distance between them is 1.3 meters

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Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Ae^kt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.

a. Suppose A = 40, and at 5 days, the cells are growing at a rate of 120 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.

b. Use your answer from part a to find the number of cells present after 11 days.

Answers

The formula for the number of cells after t days, given that 200 cells are present at t = 0 is \(N(t) = 40(3^t - 1) + 200\;ln(3)\), whereas the number of cells present after 11 days is approximately 7,085,864.

The given differential equation \(N'(t) = Ae^{kt}\) describes the rate of increase in the number of diseased cells N(t) at time t, where A is the rate of increase at time 0 and k is a constant. The solution to this differential equation is  \(N(t) = (A/k) \times e^{kt} + C,\) where C is an arbitrary constant that can be determined from an initial condition.

a. Using the given information, A = 40 and N'(5) = 120. Substituting these values into the equation \(N'(t) = Ae^{kt}\), we get:

\(120 = 40e^{(5k)}\)

Solving for k, we have:

k = ln(3)

Substituting A = 40 and k = ln(3) into the equation for N(t), and using the initial condition N(0) = 200, we get:

\(N(t) = (40/ln(3)) \times e^{(ln(3)t)} + 200\)

Simplifying this expression, we obtain:

\(N(t) = 40(3^t - 1) + 200ln(3)\)

b. To find the number of cells present after 11 days, we substitute t = 11 into the expression for N(t) that we obtained in part a:

\(N(11) = 40(3^{11} - 1) + 200ln(3)\)

Simplifying this expression, we get:

\(N(11) = 40(177146) + 200ln(3) \approx 7,085,864\)

Therefore, the number of cells present after 11 days is approximately 7,085,864.

In summary, the given differential equation \(N'(t) = Ae^{kt}\) describes the rate of increase in the number of diseased cells N(t) at time t, and the solution to this equation is \(N(t) = (A/k) \times e^{kt} + C,\)  where C is an arbitrary constant that can be determined from an initial condition.

We used this equation to find a formula for the number of cells after t days, given A, k, and an initial condition, and used it to find the number of cells present after 11 days.

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Find \( U \) unitary and \( T \) upper triangular such that \( U^{*} A U=T \) for \[ A=\left[\begin{array}{ccc} -2 & 1 & -1 \\ 1 & -1 & -2 \\ 0 & 1 & -3 \end{array}\right] \]

Answers

The unitary matrix U is

\(\[ U = \begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\0 & 0 & \frac{1}{\sqrt{3}}\end{bmatrix}\]\)

and the upper triangular matrix T is

\(\[ T = \begin{bmatrix}-1 & 1 & 0 \\0 & -1 & 0 \\0 & 0 & 3\end{bmatrix}\].\)

To find a unitary matrix U and an upper triangular matrix T such that

\(\(U^*AU = T\)\) for the given matrix A, follow these steps:

Step 1: Find the eigenvalues of A.

The eigenvalues of matrix A are obtained by evaluating the characteristic polynomial \(\(\det(A - \lambda I)\):\((\lambda + 1)^2(\lambda - 3)\)\)

The eigenvalues of A are \(\(\lambda_1 = -1\) (with multiplicity 2) and \(\lambda_2 = 3\).\)

Step 2: Find the eigenvectors corresponding to each eigenvalue of A.

For \(\(\lambda_1 = -1\)\), the eigenvectors are obtained by solving the system \(\((A + I)x = 0\)\). The solutions are:

\(\((1, 1, 0)\) and \((-1, -1, 0)\)\)

For\(\(\lambda_2 = 3\)\), the eigenvector is obtained by solving the system \(\((A - 3I)x = 0\).\) The solution is: \(\((1, 1, 1)\)\)

Step 3: Normalize the eigenvectors to obtain orthonormal eigenvectors.

Normalize the eigenvectors obtained in Step 2 to obtain orthonormal eigenvectors.

For \(\(\lambda_1 = -1\),\) the orthonormal eigenvectors are:

\(\(v_1 = \left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, 0\)\) )\)and \(\(v_2 = \left(-\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}, 0\)\))\)

For \(\(\lambda_2 = 3\)\), the orthonormal eigenvector is:

\(\(v_3 = \left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\)\))\)

Step 4: Combine the orthonormal eigenvectors to form a unitary matrix U.

For a 3x3 matrix, there are 3 orthonormal eigenvectors for A. Combine them to form a unitary matrix U as follows:

\(\(U = [v_1 v_2 v_3] = \begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\0 & 0 & \frac{1}{\sqrt{3}}\end{bmatrix}\)\)

Step 5: Obtain the upper triangular matrix T.

The upper triangular matrix T is obtained as\(\(T = U^*AU\)\). Compute the product:

\(\(T = U^*AU = \begin{bmatrix}-1 & 1 & 0 \\0 & -1 & 0 \\0 & 0 & 3\end{bmatrix}\)\)

Therefore, the unitary matrix U is \(\(\begin{bmatrix}\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\\frac{1}{\sqrt{2}} & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{3}} \\0 & 0 & \frac{1}{\sqrt{3}}\end{bmatrix}\),\) and the upper triangular matrix T is \(\(\begin{bmatrix}-1 & 1 & 0 \\0 & -1 & 0 \\0 & 0 & 3\end{bmatrix}\).\)

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A group of students are studying two models of solids, liquids, and gases. The students have been given an ice cube that has been dyed blue, and the students are to carefully place the ice cube in a container of room temperature water Which is the appropriate question to ask prior to the experiment?

A group of students are studying two models of solids, liquids, and gases. The students have been given

Answers

Answer:

figure b

Step-by-step explanation:

cuz yez

Find the circumference of the pizza. Round your answer to the nearest hundredth.

Find the circumference of the pizza. Round your answer to the nearest hundredth.

Answers

Answer:

40.84 inches

Step-by-step explanation:

C=πd

C=π(13)

C=13π

C=40.84

So the pizza has a circumference of about 40.84 inches.

help me pls this is a question on a thing pls help

help me pls this is a question on a thing pls help

Answers

The required value of the expression at x = 4 and y = 2 is -23.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5(y + 3) - 3x²

In order to find the value of the given expression at x = 4 and y = 2, substitute the corresponding values in the expression to get,

5(y + 3) - 3x²

= 5(2 + 3) - 3 × 4²

= 5 × 5 - 3 × 16

= 25 - 48

= -23

Hence, the given expression can be evaluated as -23.

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What is half of a 3/4 cup?

Answers

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

If a given set of data has a variance of 64.58 and a sample size of 26, the the standard deviation is equivalent to

Answers

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Standard deviation = √ {(xi – x)^2 / (n-1)}

here (xi – x)^ 2 means variance and n is sample size .

so we can say

Standard deviation = √{ (variance / sample size – 1 )}

here variance is 64.58 and sample size is 26 is given.

So stand deviation = √{64.58 / (26-1)}

standard deviation =0.32144673

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the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Standard deviation = √ {(xi – x)^2 / (n-1)}

here (xi – x)^ 2 means variance and n is sample size .

so we can say

Standard deviation = √{ (variance / sample size – 1 )}

here variance is 64.58 and sample size is 26 is given.

So standard deviation = √{64.58 / (26-1)}

standard deviation = 0.32144673

Therefore, the standard deviation will be 0.32144673 for the data having variance as 64.58 and sample size as 26.

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Last week Shawna ran 25 miles less than
Elisa. Shawna ran 9 miles. How many
miles did Elisa run?
2b

Answers

Answer:

34 miles

Step-by-step explanation:

You just need to add her 9 then the extra 25 miles to find the starting set of miles

Answer:

Elisa ran 34 miles

Step-by-step explanation:

Shawna ran 9 miles which is 25 less than Elisa

Elisa ran 25 miles more than Shawna

equation:

9 = x - 25

add 25 on both sides:

9 + 25 = x - 25 + 25

34 = x

Elisa ran 34 miles

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How does maintaining a healthy weight affect the circulatory system? please explain and i will give brainly 3. In order for Rainsford to succeed at the end, two things that seemed inconsequentialat the time needed to happen. State what they were. (The Most Dangerous Game)a.b. In 1801 , Humphry Davy rubbed together pieces of ice inside an icehouse. He made sure that nothing in the environment was at a higher temperature than the rubbed pieces. He observed the production of drops of liquid water. Make a table listing this and other experiments or processes to illustrate each of the following situations. (a) A system can absorb energy by heat, increase in internal energy, and increase in temperature. How do the waters of the earths oceans help distribute heat from one place to another?Currents influence winds through the Coriolis effect.Currents carry warm water from the Equator to the poles.Warm water stays far below the oceans surface.Cold water stays just below the oceans surface. Show that UIT) is a cycle group. Flad al generators of the elle group (17). U(17): { Just prior to His teaching the parable of the good Samaritan, Jesus had been rejected in a Samaritan village.True or False what is an authors purpose in having a character not fit in it be at odds with a storys setting ? Find C and a so that f(x) = Ca satisfies the given conditions. f(1) = 9, f(2)= 27 a= C= I need help with this .use the name of the graph to name the function The graph shows the cost of grapes at a grocery store. What is the slope of the line? Select all that apply. (Select all mat apply.) 2.9 9/2 2/9 4.5 help now, i will give brainliest. cobe company has manufactured 260 partially finished cabinets at a cost of $65,000. these can be sold as is for $78,000. instead, the cabinets can be stained and fitted with hardware to make finished cabinets. further processing costs would be $15,600, and the finished cabinets could be sold for $104,000. (a) prepare a sell as is or process further analysis of income effects. (b) should the cabinets be sold as is or processed further and then sold? two point charges 2.1 cm apart have an electric potential energy -180 j . the total charge is 26 nc.What are the two charges brendon had total job benefits of $39,500 last year. he was required to wear a shirt with the company logo on it for work that he was responsible for buying. brendon purchased 12 shirts for work during the year at a cost of $23.95 each should pusillanimous acts be punished ignored or discussed Select all the statements that are true for ABC.A. AH is an altitude. B. IH is a median. C. JC is a median. D. The medians and altitudes intersect at the same point. E. The altitudes intersect outside of the triangle. When you catch a water balloon, it's best to start with your hand in motion, moving with the balloon, and then gradually slow it to rest. Why is this approach desirable? Which statement describes carbon's unique bonding ability? 9. Does Infosys have the right to monitor, investigate and wipe the corporate data from personaldevices/BYOD (Bring Your Own Device) in scenario like loss of device etc.as per Acceptable UsagePolicy(AUP)?Oa. YesOb. NoOc. Varies from case to case