The top of a square coffee table has an area of
64x48x + 9. What is the perimeter of the
tabletop?

Answers

Answer 1
To find the perimeter of the tabletop, we need to know the length of each side of the square. We can use the formula for the area of a square to find this length:

Area = side^2

We are given the area of the tabletop as 64x48x + 9, so we can set up the following equation:

64x48x + 9 = side^2

Simplifying the left-hand side:

64x48x + 9 = (8x6x)^2 + 3^2

64x48x + 9 = 36^2 + 3^2

64x48x + 9 = 1296 + 9

64x48x = 1296

Dividing both sides by 64x48:

side^2 = 27

Taking the square root of both sides, we get:

side = sqrt(27)

Now we know the length of one side of the square tabletop, and since all sides are equal, the perimeter is:

Perimeter = 4 x side
Perimeter = 4 x sqrt(27)
Perimeter = 4 x 3sqrt(3)
Perimeter = 12sqrt(3)

Therefore, the perimeter of the tabletop is 12sqrt(3) units.

Related Questions

treena won a 7 day scholarship with $1000 to the pro shet basketball camp. rand trip travel exanse to the camp are $335 bh air or $125 by train. at the camp she much choose beteeen a week of individual instruction at $60 per dah or a week of group instruction at $40 per day. treenas food if she does not plan to spef money ofter then the scholarship ehat atr all choices of travel and induction plans that she could afford to make?

Answers

Answer:

To solve this problem, we need to calculate the cost of each travel and instruction option and then determine which options Treena can afford with her $1000 scholarship.

Option 1: Air travel and individual instruction

Travel cost: $335

Instruction cost: 7 x $60 = $420

Total cost: $335 + $420 = $755

Option 2: Air travel and group instruction

Travel cost: $335

Instruction cost: 7 x $40 = $280

Total cost: $335 + $280 = $615

Option 3: Train travel and individual instruction

Travel cost: $125

Instruction cost: 7 x $60 = $420

Total cost: $125 + $420 = $545

Option 4: Train travel and group instruction

Travel cost: $125

Instruction cost: 7 x $40 = $280

Total cost: $125 + $280 = $405

Now we need to determine which options Treena can afford with her $1000 scholarship. We'll start with the most expensive option and work our way down.

Option 1: $755

This option is too expensive for Treena's $1000 scholarship.

Option 2: $615

This option is also too expensive for Treena's $1000 scholarship.

Option 3: $545

This option is within Treena's budget, but she won't have any money left for food.

Option 4: $405

This option is also within Treena's budget, and she'll have $595 left for food.

Therefore, Treena's choices of travel and instruction plans that she could afford to make are:

- Train travel and group instruction with $595 left for food

- Train travel and individual instruction with no money left for food

1. b^3/b^0
2. a•x^5/ a•x^4
3. a • b²•a²•b³
4. b-2•b²•a⁰
Use the properties of exponents to rewrite each
expression in the text box.

Answers

The following expressions solved with the properties of exponents;

ax

a³ × b⁵

b

How to solve using properties of exponents?

b³ / b⁰

= b^(3-0)

= b³

a•x⁵ / a•x⁴

= ax⁵ / ax⁴

= ax^(5-4)

= ax¹

= ax

a • b²• a²•b³

= a^(1+2) × b^(2+3)

= a³ × b⁵

b^-2•b²•a⁰

= b^(-2+2) × a⁰

= b¹ × 1

= b

Therefore, the properties of exponents states that when numbers of the same base are divided, the exponent will be subtracted and

when numbers of the same base are multiplied, the exponent will be added.

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on a linear graph, this is called the

Answers

You didn’t include a photo but i have this hope this helps

solve for v. 4v-18=6(v-6)

Answers

Answer:

v = 9

Step-by-step explanation:

4v - 18 = 6(v - 6)

1.) Distribute 6 into the parenthesis

4v-18 = 6v - 36

2.) Move 6v to the other side by subtracting from both sides

4v - 6v -18 = -36

3.) Move 18 to the other side by adding 18 on both sides

4v - 6v = 18 + -36

4.) Combine like terms

-2v = -18

5.) Divide -2 on both sides to get v by itself

v = 9

Answer:

the answer is 9

Step-by-step explanation:

4v-18=6(v-6)

4v-18=6v-36

4v-6v= -36+18

-2v= -18

divide both sides by -2

v=9

What is true of the triangle below?

Answers

Answer:

Step-by-step explanation:

where is the triangle

Can someone please help?? Thank you soo much

Answers

Khadija would have to pay $27.8 (7.5 x 4 - 1.7) to buy 4 pounds of apples.

What is cost?

Cost the monitorial associated with the purchase of production of food or service if can include the prices of materials of which is over it and other expenses that are related to the production of the good of service cost is a major fraction when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.

The expression for the cost to buy  x  pounds of apples is: 7.5x - 1.7, where x represents the number of pounds of apples purchased. For example, if Khadija wanted to buy 3 pounds of apples, the cost would be calculated by 7.5x - 1.7, which is equal to 22.6 dollars.

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To indirectly measure the distance across a lake, Katherine makes use of a couple landmarks at points LL and MM. She measures KNKN, NLNL, and NONO as marked. Find the distance across the lake (LM)(LM), rounding your answer to the nearest hundredth of a meter.

Answers

The required distance across the lake (LM) is 205 m.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,

As from the figure,

Triangle KLM is similar to triangle KNO so,
KL/KN = LM/NO
180+70/180 = LM/147.6
LM = 205 m

Thus, the required distance across the lake (LM) is 205 m.

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PLEASE HELP ASAP‼️‼️Are the sides proportional?
Set up each ratio of sides and determine if they are equal
ratios. Show all of your work.
3.61 cm
R
44°
S
11.97 cm
9.71 cm
15
N
T
17.955 cm
14.565 cm
121°
M
L
5.415 cn

Answers

The side lengths form a proportional relationship, and the ratios are as follows:

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

They must have Congruent angle measures.

They have Proportional side lengths.

Here, the triangles are similar, as they have the same angle measures.

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

Thus, the side lengths form a proportional relationship, as the equivalent side have a ratio of 1.5.

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1. Write in function notation a rule that moves a pre-image 4 units right and 7 units down.
A. f(x) (x + 4, y + 7)
B. f(x) (x + 4, y - 7)
C. f(x)(x-4, y + 7)
D. f(x) (x - 4, y - 7)

Answers

The function notation that moves a pre-image 4 units right and 7 units down is f(x) ⇒ (x + 4, y - 7)

What is translation?

Translation is the movement of a point on the coordinate plane either left, right, up or down. Translation is a rigid transformation because it preserves the shape and size. Reflection and rotation are also rigid transformations.

If a point A(x, y) is translated a units right and b units down, then the new point is A'(x + a, y + b)

The function notation that moves a pre-image 4 units right and 7 units down is (x, y) ⇒ (x + 4, y - 7)

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Solve the following problems on numbers. Show your solution.

1. The sum of the two numbers is 91. The smaller number is 17 less than the larger number. What are the numbers? (2 points)

2. Twice the sum of a number and 8 is 24. Find the number. (1 point)

3. Find three consecutive integers such that the sum of the first and the third is 8 more than the second number. (3 points)

Answers

Answer:

Q1. The larger number is 54 and the smaller number is 37.

Q2. The number is 4.

Q3. The three numbers are 7, 8 and 9.

Step-by-step explanation:

Q1.

Let the larger number be x and the smaller number be y.

x+y= 91   (1)

x-y= 17   (2)

From (2) :

x= y+17   (3)

sub (3) into (1) :

y+17+y= 91

2y= 74

y= 37   (4)

sub (4) into (3) :

x= 37+17

 = 54

Q2.

Let the unknown number be x.

2x+16= 24

2x= 8

x= 4

Q3.

Let the smallest number be x.

2nd no. : x+1

3rd no. : x+2

x+(x+2)= (x+1)+8

2x+2= x+9

x= 7

x+1= 8

x+2= 9

(Compound Interest and Geometric Sequences ) The equation, A equal to P quantity 1 plus 0.054 over 2 end quantity all raised to the power of 2 times t, represents the amount of money earned on a compound interest savings account with an annual interest rate of 5.4% compounded semiannually. If the initial investment is $3,000, determine the amount in the account after 15 years. Round the answer to the nearest hundredths place. $3,164.19 $6,671.67 $4,473.81 $14,532.47

Answers

The amount in the account after 15 years after round of to the nearest hundredth is $6,671.67, the correct option is B.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that;

The amount earned is A equal to P quantity 1 plus 0.054 over 2 end quantity all raised to the power of 2 times t

Rate of compound interest= 5.4%

Investment= $3000

Time= 15years

Now,

A = 3000(1+0.054/2)^2*15

A = 3000(1+0.054/2)^30

A = $6,671.67

So, amount = principal + interest

Principal = $3,000.00

Interest = $3,671.67

=$6,671.67

Therefore, the compound interest will be $6,671.67

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In ΔNOP, p = 490 inches, m∠N=57° and m∠O=55°. Find the length of n, to the nearest inch.

Answers

The value of n is 443 inches when using the triangle rule and law of sine.

What is meant by Sine Rule?An oblique triangle's sides and angles are related according to the rule of sines (non-right triangle). The laws of sines and cosines are crucial trigonometrical formulas for "solving a triangle." The sine rule states that there is an equal relationship between a triangle's side lengths and the sine of each of its opposite angles.Triangles' side length to opposite angle ratios are governed by the law of sines. For all three sides and perpendicular angles, this ratio remains constant. So long as the necessary information is known, we may use the sine rule to determine the missing side or angle of any triangle.

The formula is given as

a / sin A = b / sin B = c / sin C

In this triangle NOP, we can find the value of angle P

∠N + ∠O + ∠P = 180

57 + 55 + ∠P = 180  : Sum of angles in a triangle is equal 180 degrees

∠P = 180 - 112

∠P = 68

Using law of sine

p/sin P = n/sin N

490/sin68 = n / sin57

n = [(490 × sin 57) / sin 68]

n = 443 inches

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Investigate the Trigonometric Ratios for 30 Degrees (3 points)
Hyp= 2.63
30 degrees
Adj = 2.278
Opp = 1.315
I have set this to make a 30 degree triangle.
Record the lengths of the three sides in the table below.
Adjust the red dot to change the size of your triangle.
Record the next set of measurements for that triangle.
Repeat until you have done 3 triangles, each for a 30
degree reference angle.
Triangle
1
2
3
Hypotenuse Opposite
Adjacent

Answers

The next set of measurements for the triangle are as follows:

                        Triangle 1            Triangle 2           Triangle 3

Hypotenuse:    5.26                    7.89                     10.52

Opposite:          2.63                   3.945                   5.26

Adjacent:          4.556                  6.834                   6.834

How to find the triangle measures while maintaining angle 30 degrees

This is done using the concept of similar triangles,

Similar triangles are two triangles that have the same shape but may be scaled to different sizes. In other words, similar triangles have the same angles, but their sides may be proportional.

In the problem, the proportion of the sides are equal and this will maintain the size of the angle

let the size of the angle be x

Sin x = opposite / hypotenuse

Sin x = 2.63 / 5.26 = 3.945 / 7.89 = 5.26 / 10.52 = 0.5

x = arc sin (0.5)

x = 30

To maintain same proportion the triangles where all a scaled version of the given triangle

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Write the equations
for this line in
slope-intercept
form.

Answers

Answer:

y=2/3x+-1

Step-by-step explanation:

Pls help me thanks :)))

Answers

Answer:

y = - 1 , y = 17

Step-by-step explanation:

y² - 16y + 64 = 81 ← y² - 16y + 64 is a perfect square

)y - 8)² = 81 ( take the square root of both sides )

y - 8 = ± [tex]\sqrt{81}[/tex] = ± 9 ( add 8 to both sides )

y = 8 ± 9

then

y = 8 - 9 = - 1

x = 8 + 9 = 17

Find the median and mean of
the data. Which reflects the
best measure of the center?
X
X
8
X
X
X
X
X
9
XX
10
X
40

Answers

the mean and the median of the given data set are 16.75 and 9.5 respectively.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,  A data set 8, 9, 10, 40

From the general formula of mean:

mean =  (sum of observations) ÷ (total number of observations).

mean = (8 + 9 + 10+ 40)/4

mean = 67/4

mean = 16.75

Since the median is:

The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Thus,

the median of the given data set = (9 +10)/2

the median of the given data set =  9.5

Therefore, the mean and the median of the given data set are 16.75 and 9.5 respectively.

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I need help with this one and can u explain it

Answers

Answer:

x = 8

Step-by-step explanation:

Vertically opposite angles are congruent.

          5x + 9 = 57 - x

 Add x to both sides,

      5x +x + 9 = 57

           6x + 9 = 57

Subtract 9 from both sides,

                  6x = 57 - 9

                  6x = 48

Divide both sides by 6,

                 x = 48 ÷ 6

                x = 8

6y^2+25y+4 factor the expression

Answers

Answer: (6y + 1) (y + 4)

Step-by-step explanation: (6y + 1) (y + 4)   (6y)(y) + (6y)(4) + (1)(y) + (1)(4) 6y^2 + 24y + 1y + 4 6y^2 + 25y + 4

Answer:

multiply 6×2 an you get 12

step:1 =4×12y⁴ ¹+25y¹ ¹

step:2=48y⁴ ¹ +25y¹ ¹

step:3=48y³+25y⁰

step:4=48y³+25×1

step:5=48y³+25

answer=48y³+25

A grocery store sells a bag of 3 oranges for $0.90. How much does one orange cost?

Answers

Answer:

$0.30

Step-by-step explanation:

They tell you that a bag of 3 is $0.90. 3 can go into 90 a total of 30 times. 0.90/3 is 0.30

Answer:

first take a total price and then divided by the total bags to get price of each

Step-by-step explanation:

0.90÷3=0.30

Convert 0.807 to a fraction in simplest form and a percent.

Answers

Fraction: 807/1000

Percent: 80.7 %

how to find the missing dimension of. a cone when the when the highest s 4.2 and the volume is 3.6 cubed

Answers

To find the missing dimension of a cone when the height is 4.2 and the volume is 3.6 cubed is to equate the general formula with the given information.

What is a cone?

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

To obtain the missing dimension of a cone we must equate the general formula for the volume of a cone to the given information.

Therefore, (1/3)πr²×4.2 = 3.6

(1/3)πr² = 0.86.

r² = 0.86/1.05.

r² = 0.82.

r = 0.9

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Which of the following inequalities does the graph represent?


Number line -5 to +5 in single-integer increments - assessment graphic

Responses

–3 < t < 4

–3 < t < 4

t < –3 or t > 4

t < –3 or t > 4

–3 ≤ t ≤ 4

–3 ≤ t ≤ 4

t ≤ –3 or t ≥ 4

Answers

The statement t < –3 or t > 4 is the inequality that the graph represents.

What is inequality?

Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.

The graph represents the inequality t < –3 or t > 4. This can be seen by the number line, which has the integers -5 to 5 incrementally marked, with the bars extending beyond the -3 and 4 markers. This indicates that the value of t is less than -3 or greater than 4, but not equal to either of these values. Therefore, the statement t < –3 or t > 4 is the inequality that the graph represents.

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Range and domain ??
{(-3,0), (3,-7), (-1,-6), (-1,-5), (-5, -1)}

Answers

Answer:

Domain = -3, 3, -1, 15
Range = 0, -7, -6, -5, -1

25 POINTS AND BRAINLIEST Multiply and simplify. Circle your final answer (or highlight final answer in yellow if typing). (2 pts)

2p^3q^4r^2(2p^4q^2t^3)(3r)

Answers

Answer: To multiply the expression, we first distribute the constant factors:

2p^3q^4r^2 * 2p^4q^2t^3 * 3r = 6p^3q^4r^3 * 2p^4q^2t^3

Next, we multiply the variables by combining like terms:

6p^3q^4r^3 * 2p^4q^2t^3 = 6p^7q^6r^3t^3

This is the final simplified expression, and we can circle or highlight it as the answer.

Step-by-step explanation:

0.003/19.43 what is the answer

Answers

Answer:

0.000154

Step-by-step explanation:


Answer:

0.000154

Step:

What is the integrated rate law for a 1st order reaction?

Answers

Answer: In[A]_t = kt + In[A]_0

Expiation: the half-life of a first-order reaction is independent of concentration, and this equation has the form y=mx + b so a plot of the natural log of [A] as a function of time yields a straight line

Source: khanacadamey.org

Hope this helps!

ROUND PLEASE AND THANK YOU!!!!!!

Answers

The secant-secant product theorem states that if 2 secant segments are drawn to a circle from an external point, then the product of the length of one of the secants and its external portion is equal to the product of the length of the other secant and its external portion.

The length of the first secant in the image is x + 18, and the second is 24 + 16.

x + 18 times 18 = 40 times 16

18x + 324 = 640

18x = 316

x= approximately 17.6

Help me pls pls pls pls

Answers

Answer:

Step-by-step explanation:

The middle one

There are 15 total blocks that is your denominator.

There are 5 shaded that is your numerator.

5/15

It's pretty easy... Please help me ASAP and show your work. If I get 2 questions I will mark one person BRAINLIEST. So PLEAASEEEEEEEEEEE
Help on #4, #7, and #8

Answers

The given problems are solved:

What is an equation?

An equation is a statement that asserts the equality of two expressions, the expressions are written one on each side of an '=' equal to sign.

Question 4:

To calculate angle A,

Consider tan function.

[tex]tan A=\frac{opposite side }{adjacent side}[/tex]

[tex]tan A=\frac{9.6}{7.2}[/tex]⇒ 1.34

A= 53.26°

Question 7:

In triangle PQR, ∠Q=80°, PQ=8 and QR= 6,

PR=?

Area of triangle = 1/2 *a*b*sinC

                          = 1/2*8*6*sin°80

                          =24*0.984

Area of triangle = 23.616 square units.

Question 8:

Consider the triangle JKL, here two sides and one angle is given,

we can use cosine law,

The equation set us is given by,

           [tex]a^{2} = b^{2}+ c^{2} -2bcCos\alpha\\b ^{2} = a^{2}+c^{2} -2acCos\beta\\ c^{2} = b^{2} +a^{2} -2baCos\gamma[/tex]

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How do you visualizationa Kruskal algorithm?

Answers

Visualizing Kruskal's algorithm involves representing the graph, its edges, and the minimum spanning tree in a visual format.

To visualize a Kruskal algorithm, you need to follow the steps below:

1. Sort all the edges in ascending order of weight.
2. Create a new graph G' with the same vertices as the original graph G, but no edges.
3. Start with the smallest edge and add it to G' if it doesn't create a cycle. Repeat this step until you have added all the edges or you have a minimum spanning tree.
4. If you have a minimum spanning tree, you can visualize it by drawing the graph with the edges included in G'.

Here is an example:

Original graph G:

A---2---B---3---C
|       |
4       1
|       |
D---5---E

Step 1: Sort the edges in ascending order of weight: 1, 2, 3, 4, 5

Step 2: Create a new graph G' with the same vertices as G, but no edges.

Step 3: Start with the smallest edge (1) and add it to G'. This doesn't create a cycle, so we can add it.

G':
A       B---1---C
|       |
4       1
|       |
D       E

Next, add the second smallest edge (2) to G'. This also doesn't create a cycle, so we can add it.

G':
A---2---B---1---C
|       |
4       1
|       |
D       E

Continue this process until you have added all the edges or you have a minimum spanning tree.

Step 4: Visualize the minimum spanning tree by drawing the graph with the edges included in G'.

Minimum spanning tree:

A---2---B---1---C
|       |
4       1
|       |
D       E

I hope this helps! Let me know if you have any further questions.

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What are the two types of imhertiance put forward by gregor mendel money _____ transaction costs, allowing people to specialize in what they do best. a. reduces b. enhances c. eliminates d. increases Write an expression that is equivalent to -5+6a+(-8)+(-3a) Why did many pioneers decide to move west to California and Oregon?O to escape religious persecution in the Easto to settle on land owned by Spain and become Spanish citizensO to escape the economic depression in the East and make a better lifeO to enjoy the healthier climate and avoid the increasing air pollution in the EastJhy Please can someone help me? who is the singer you have saved our life we are very grateful what the metric system of measurement is based on the number? Aside from color, how are light silicates and dark silicate different, and why?A. Light silicates have a lower specific gravity because they have high iron and magnesium content, whereas dark silicates have a higher specific gravity because they lack iron and magnesium.B. Light silicates have a higher specific gravity because they lack iron and magnesium, whereas dark silicates have a lower specific gravity due to their high iron and magnesium content.C. Light silicates have a lower specific gravity because they lack iron and magnesium; dark silicates have a higher specific gravity because they have high iron and magnesium content.D. Light silicates have a higher specific gravity because they have high iron content; dark silicates have a lower specific gravity due to their magnesium content.E. Light silicates have a higher specific gravity Due to their high iron and magnesium content, whereas dark silicates have a lower specific gravity because they lack iron and magnesium. Which word could best replace the word plummeted O lostO forcedO fellO noticed What role does nondisjunction play in the formation of a fertile allopolyploid hybrid?-It doubles the chromosome number in the hybrid.-It allows gametes of the two parent species to combine.-It causes the chromosomes to line up at the center of the cell during mitosis.-It breaks down chromosomes that don't exist as homologous pairs. QuestionTwo solid spheres, both of radius 5cm, carry identical total charges of 2C. Sphere A is a good conductor.Sphere B is an insulator, and its charge is distributed uniformly throughout its volume.How do the magnitudes of the electric fields they separately create at radius 4 cm compare?AE A>E B=0BE A>E B>0CE A=E B>0D0E0=E A A gas is considered "ideal" if one mole of it in a 22.4-liter container exerts a pressure of exactly 1 atm at room temperature (T/F) The function f(x) = 0.81x + 168.3 models the cholesterol level of an American woman as a functionof her age, x, in years. Use the function to find f(75).A) 229.05B) 107.55C) 10,224.225D) 244.11 what number when written out is in alphabetical order Read the excerpt from "In Response to Executive Order 9066".I gave her a packet of tomato seedsand asked her to plant them for me, told herwhen the first tomato ripenedshe'd miss me.The narrator gives the impression that When firms make capital budgeting decisions, they should concern themselves with incremental cash flows, not net income, when evaluating projects. To determine the incremental cash flows associated with a capital project, an analyst should include all of the following except: The project's marginal taxes The project's depreciation expense The project's terminal value The project's financing costs Indirect cash flows often affect a firm's capital budgeting decisions. However, some of these indirect cash flows are relevant to capital budgeting decisions (because they represent marginal cash flows that depend on the project's acceptance), but others should be ignored. ___ are costs the firm paid in the past and are unrecoverable. Accepting or rejecting a project will not change them, so they should not be included in capital budgeting analysis. Consider the case of Bumbly Products Inc. The company is evaluating a capital budgeting project and has come across a few issues that require special attention. Classify each item as a sunk cost, cannibalization, opportunity cost, or a change in net working capital (NWC). Then, in the last column, indicate whether the item should be included in the project's analysis or not. Suppose Bumbly will be issuing debt to support this project and other capital budgeting projects this year. The firm's interest expense will increase by $700,000. Should the change in interest expense be included in the analysis? Yes No