Find the flux of F across S,
F. N dS
where N is the upward unit normal vector to S.
F(x, y, z) = xi + yj + zk
S: z = 1 − x^2 − y^2, z ≥ 0

Answers

Answer 1

The flux of F across S will be [tex]\frac{3\Pi}{2}[/tex]

A vector of magnitude 1 that is at some point perpendicular to a two-dimensional curve is referred to as the unit normal vector. Normally, you search for a function that returns not just one vector but all potential unit normal vectors of a given curve.

A vector that is perpendicular to a surface at a certain location is known as the normal vector, also referred to as the "normal" to a surface. The inward-pointing normal (pointing toward the interior of the surface) and outward-pointing normal are often distinguished when normals are taken into consideration on closed surfaces.

[tex]$Z_x=-2 x: \quad Z_y=-2 y$[/tex]

[tex]$N=\langle 2 x, 2 y, 1\rangle \quad: f=\langle x, y, z\rangle$[/tex]

[tex]f. $N=2 x^2+2 y^2+z=2 x^2+2 y^2+1-x^2-y^2$[/tex]

=1+x^2+y^2

[tex]x^2+y^2=1\\ \Rightarrow \quad x=r \cos \theta\\ \Rightarrow \quad y=r \sin \theta \\ \Rightarrow x^2+y^2=r^2 \\ 0 < r < 1: \quad 0 < \theta < 2 \pi[/tex]

[tex]$R \cdot v=\int_0^{2 \pi} \int_0^1\left(1+r^2\right)(r) dr d \theta$[/tex]

[tex]$=2 \pi \int_0^1 r+r^3 d r$[/tex]

[tex]$2 \pi\left[\frac{r^2}{2}+\frac{r^4}{4}\right]_0^1$[/tex]

[tex]$=(2 \pi)\left(\frac{1}{2}+\frac{1}{4}\right)$[/tex]

[tex]$=\frac{(2 \pi)(3)}{42}=\frac{3 \pi}{2}$[/tex]

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Related Questions

A teacher buys packs of notebooks to give to his students. The ratio of brown notebooks to red notebooks is represented in the tape diagram. Brown notebooksRed notebooks Based on the ratio, what is the number of brown notebooks when there are 242424 red notebooks

Answers

Answer:

yea yea

Step-by-step explanation:

I don´t understand the last one

Answers

The horizontal distance that the boat is from the lighthouse is 920.31 feet

What is an equation?

An equation is used to show the relationship between numbers and variables.

Trigonometric ratio shows the relationship between the sides and angles of a right angled triangle.

A beacon light is 113 feet above the water. The angle of elevation to the beacon is 7 degrees.

Let d represent the horizontal distance from the house.

Using trig ration:

tanФ = opposite/adjacent

Substituting:

tan(7) = 113 / d

d = 920.31 feet

The horizontal distance is 920.31 feet

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bonjour svp aide moi

Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.

1°) Calculer nOp.​

Answers

Answer:

n0p = 120°

Step-by-step explanation:

m0n + n0p = 180°

60° + n0p = 180°

n0p = 120°

What is the area of the shaded region?

6 mm

21 mm2

24 mm

42 mm

48 mm2

4 mm

3 mm

2 mm

5 mm

Answers

Answer:

The area of the shaded region is, [tex]24mm^{2}[/tex]

Step-by-step explanation:

First we have to calculate the area of ΔABC and ΔXYZ.

Area of ΔABC = [tex]\frac{1}2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]

Area of ΔABC = [tex]\frac{1}{2}[/tex]×[tex]5mm[/tex]×[tex]12mm[/tex]

Area of ΔABC =[tex]30mm^{2}[/tex]

and,

Area of ΔXYZ = [tex]\frac{1}{2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]

Area of ΔXYZ = [tex]\frac{1}{2} X3mmX4mm[/tex]

Area of ΔXYZ = [tex]6mm^{2}[/tex]

Now we have to calculate the area of the shaded region.

Area of the shaded region = Area of ΔABC - Area of ΔXYZ

Area of the shaded region = [tex]30mm^{2} - 6mm^{2}[/tex]

Area of the shaded region = [tex]24mm^{2}[/tex]

Therefore, the area of the shaded region is, [tex]24mm^{2}[/tex]

Given: 2x−43=2
Prove: x = 5

Select from the drop-down menus to correctly complete the proof.

Statement Reason
2x−43=2 Given
2x−4=6
Choose...
2x = 10
Choose...
x = 5

Answers

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given : 2x-4=6

To prove x =5

Thus,

We have to find the value of x

=> 2x =10

=> x =10/2

=> x =5

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

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Pedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below.

A t
11,100 4
7200 8
3300 12
A function could be written to describe the decent:

Blank 1

= (Blank 2

)t + Blank 3

Answers

The equation of the linear function is A(t) = -975t + 15000

How to determine the equation of the function

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values, we have:

A(t)         t

11,100   4

7200   8

3300   12

From the above table of values, we can see that

As t increase by 4, the value of A(t) decreases by 3900

This means that the table of values is a linear relation, and the slope is

slope = -3900/4

slope = -975

A linear equation is represented as

y = mx + c

Where

slope = m

So, we have

A(t) = -975t + c

Using the points on the table, we have

11000 = -975 * 4 + c

Evaluate

c = 15000

So, we have

A(t) = -975t + 15000

Hence, the equation is A(t) = -975t + 15000

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Brian buys bananas from the grocery store each week. Last week he bought 5 pounds of bananas and paid $2.95. If he buys 8 pounds of bananas this week, how much will he pay?

Answers

$2.95/5 =0.59
0.59 is how much each each pound of bananas cost
So- 0.59 x 8 = $4.72

$4.72 is your total cost for 8 pounds of bananas

4. Find the value of each variable in the parallelogram.

Answers

Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.

A linear equation is precisely what?

The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.

Here,

Given :

According to parallelogram laws

adjacent side sum is 180 degree

=> 4y + 3x-18 = 180

=> 4y+3x = 162

and

2x+12+3z = 180

=> 2x + 3z = 168

and

=> 3x+3z = 162

=> x + z =54

=> z = 54-x

So,

2x + 3(54-x) = 168

=> 162 - 3x+2x =168

=> -x = 6

or x =-6

and

z = 60

and

y = 162 - 3x /4

=> y= 162 +18 /4

=> y =180/4

=> y = 45

Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.

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The number y of duckweed fronds in a pond after t days is y=a(1230. 25)t/16, where a is the initial number of fronds. By what percent does the duckweed increase each day? Round your answer to the nearest whole number

Answers

The duckweed increases by a percentage each day which is calculated by the equation

(1230.25t/16)/a - 1.

This equation can be further simplified to 1230.25t/16a - 1 and then multiplied by 100 to get a percentage.

So the percentage increase of duckweed each day is calculated by multiplying 1230.25t/16a - 1 by 100.

1230.25t/16a×100

This will give us the percentage of increase each day, rounded to the nearest whole number.

For example, if the initial number of fronds is 1000 and the number of days is 2, the percentage increase of duckweed will be (1230.25(2)/16(1000)) - 1 = 24.6%, rounded to the nearest whole number which is 25%.

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Six times a number less 20 is the same as four times the same number increased by 6. Find the number

Answers

Answer:

13.

Step-by-step explanation:

Solution

Let X be the number.

Given information from the question, we can formulate an equation:

Six times a number less 20 = 4 times the same number increased by 6

6X - 20 = 4X + 6

From the equation, we can solve for X.

6X - 4X = 6 + 20

2X = 26

X = 26 ÷ 2

X = 13

Therefore the number is 13.

The value of the unknown number is = 13.

Let the unknown number be expressed by the variable = x.

According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:

=> 6x - 20 = 4x + 6

=> 6x - 4x = 6 + 20

=> 2x = 26

=> x = 26/2

=> x = 13

Therefore, the value of 'x' which is the unknown number is 13.

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Find the derivative.
y = x tanh^-1(x) + ln (√( 1 −x2))

Answers

The answer is:

- 1 < x < 1

I hope this is correct

Refer to the image attached.

Why are sine and cosine ratios always less than 1?

Answers

Answer:

Step-by-step explanation:

The simple explanation is that the hypotenuse and sides of a right triangle are always shorter than one another. Therefore, any side's to any hypotenuse's ratio will never be greater than 1. The figure is no longer a triangle when the angle is 0 or 90 degrees because one of the sides vanishes and the other side lines up with the hypotenuse. For this reason, sin and cosine have values of 0 or 1 in these extreme situations.

Please help me with my work

Answers

Answer:

16p^12 q^4

Step-by-step explanation:

Open up the parenthesis and simplify.

2^4 is 16

p^3 times ^4 is p^12

q times ^4 is q^4

So your answer is 16p^12 q^4

Answer:

16p^12 q^4

Step-by-step explanation:

This is because the power 4 will multiple with all the variables inside

hence, p^3 will become p^12

and q^1 will become q^4

the power 4 will also change 2 into 2^4 which is 16

How do you verify that a dilation is a similarity transformation?

Answers

A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.

If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.

A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.

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Two players are stand on a basketball court. The angles of elevation from the foot of each player to the 3.5 meters high basket are 40° and 50°. How far apart are the players from each other?

Please try to answer it with a trigonometric function

Answers

Therefore, the players are 6.84 meters apart from each other.

What is a projectile?

An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.

What is tangent?

The straight line that traverses a point with a slope equal to the derivative of the curve at that location is said to be the tangent line to a plane curve at that point in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

If we let x be the distance between the players, then we can use the tangent function to relate the angle of elevation to the distance between the player and the basket:

tan(40°) = 3.5/x

tan(50°) = 3.5/(x+1)

We can solve for x in both equations, and set them equal to each other, we get x= 6.84m

Therefore, the players are 6.84 meters apart from each other.

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need help plsssssssss

Answers

Answer: y<-5x+9

Step-by-step explanation:

Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.

Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (-0. 5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to explain how to plot the point.


Someone pls help?

Answers

Therefore , As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

Definition of a scatter plot.

Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).

Here,

Maria You've erred, you know that. You don't understand the points at all. The attachment can be used to your advantage.

The property of rational numbers, according to which there are an endless number of terminating decimals between any two terminating decimals, must be used in order to plot any terminating decimal on the coordinate plane.

On the X axis, indicate -0.5 between 0 and -1.

Mark integer 2 on the Y axis in a similar manner.

Draw a line perpendicular to the Y axis, passing through (-0.5,0), and a line perpendicular to the X axis, passing through (0,2).

These two lines must cross at the specified position (-0.5,2).

As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

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9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?

Answers

Answer: N= x24 over 3

Step-by-step explanation:

What are the zeroes of the polynomial 4x2 4x 3?

Answers

The zeroes of this polynomial equation is [tex]$4 x^2-4 x-3$[/tex] are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].

First form the equation

As per the given data the given polynomial equation is [tex]$4 x^2-4 x-3$[/tex].

Here we have to determine the zeroes of a polynomial equation is [tex]$4 x^2-4 x-3$[/tex].

We know that the zeroes of a polynomial are evaluated by equating them with zero.

Therefore p(x)=0

[tex]& \Rightarrow 4 x^2-4 x-3=0[/tex]

Then solve to find the zeroes

[tex]& 4 x^2-4 x-3=0 \\[/tex]

[tex]& \Rightarrow 4 x^2-6 x+2 x-3=0 \\[/tex]

2x(2x - 3) + 1(2x - 3) = 0

(2x - 3) (2x + 1) = 0

[tex]& \Rightarrow x=\frac{3}{2},-\frac{1}{2}[/tex]

Then do verification

We know that for a given polynomial [tex]$a x^2+b x+c$[/tex]

Sum of the zeroes [tex]$=-\frac{b}{a}$[/tex] and product of the roots [tex]$=\frac{c}{a}$[/tex]

Sum of the zeroes [tex]$=\frac{3}{2}-\frac{1}{2}=1$[/tex]

Again, [tex]$-\frac{b}{a}=\frac{4}{4}=1$[/tex]

Product of the zeroes [tex]$=\frac{3}{2} \times-\frac{1}{2}=-\frac{3}{4}$[/tex]

Again, [tex]$\frac{c}{a}=-\frac{3}{4}$[/tex]

Thus, the relationship between the zeroes and the coefficients of the polynomial is verified.

Hence, the zeroes of this polynomial are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].

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Can you let me know the answer please

Answers

Answer:

The answer is A

Step-by-step explanation:

When looking at this image, look at A, notice how it says y and the equal to symbol is facing it? then notice at the end of answer a is -4, look at the graph and the line intercepts -4, remeber, the end number, whether positive or negative will always be the on the y axis

There are two chords AB and CD in a circle. |AB| = 10 cm, |CD| 10 cm, |CD| = 8 cm and the radius of the circle is 12 cm. What is the distance of each chord from the centre of the circle?​

Answers

The distance of each chord from the centre of the circle are √119  and √128 respectively .

Given,

Radius of a circle = 12 cm

AB = 10 cm

CD = 8 cm

Now, we get

BG = 10/2 = 5 cm

HD = 8/2 = 4 cm

(A perpendicular coming from the centre, which is not a diameter, bisects the chord.)

Now,

BE = ED = EF = 12 cm (All radii of a circle are equal.)

Now, by Pythagoras Theorem, we get

H² = P² + B²

For GE —

(BE)² = (GE)² + (BG)²

or, (12)² = GE² + (5)²

or, 144 = GE² + 25

or, GE² = 144 — 25

or, GE² = 119

or GE = ±√119

or GE = √119 (Since, length cannot be negative.)

For HE —

(DE)² = (HE)² + (HD)²

or, (12)² = HE² + (4)²

or, 144 = HE² + 16

or, HE² = 144 — 16

or, HE² = 128

or, HE = ± √128

or, HE = √128 or 8√2(Since, length cannot be negative.)

Hence , the distance of each chord from the centre of the circle are √119  and √128 respectively .

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A drawer contains 9 red socks and 11 blue socks. It is dark and you are trying to grab a matching pair. How many socks do you need to take out to be sure of a matching pair

Answers

If we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.

What is Probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportional ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The likelihood that a specific occurrence will occur. (2): the proportion of the total number of available outcomes to the number of outcomes in an exhaustive set of equally probable options that result in a certain occurrence.

There are 9 red socks and 11 blue socks

So if we find a red/blue sock in the first turn,

The second can be both blue or red so we can't be sure it will be matching or not.

At third turn any one colour of sock will match with any of the two already pulled before if they are different.

So, if we pull 3 socks then there is a 100% possibility that 2 socks will be of same colour.

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Explain how I do this please and thank you!

Answers

Answer:

Step-by-step explanation:

You need to add both of the angles you already know (1 and 2). If you add angle 1 and angle 2 you get 74. This means m < J K M would be 74°.

Answer:

74 degrees

Step-by-step explanation:

You have to add angles 1 and 2

35 +39=74

Therefore, 74 is the answer

What line is parallel to 2x 3y 6 at 2 3 )?

Answers

The line parallel to the given line 2x+3y=6 is 2x+3y=13.

The general equation of a line is y=mx+c where m is the slope of the line and c is the y-intercept.

The slope of the given line 2x+3y=6 is

3y=(-2x)+6

y=(-2/3)x+2

y=mx+c where m is the slope of the line

so the slope of the given line is (-2/3)

as the slope of two parallel lines is equal so the slope of the line parallel to the given line is also (-2/3)

(y-y1)=m(x-x1) where x1 is the x-coordinate and y1 is the y-coordinate.

Here x1=2 and y1=3

(y-3)=m(x-2)

y-3=(-2/3)x+4/3

3y-9=(-2x)+4

3y+2x=13

2x+3y=13

The line 2x+3y=13 is parallel to the given line 2x+3y=6.

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What percentage of the class voted for Maria?

Answers

36%


step-by-step explanation:

y=5/4x-2 y=5/4x-1 !HELP ME GRAPH AND ANSWER THE QUESTION!!

Answers

Answer:

Y=54x−2y=54x−1

I hope this helps you!

A square dining room table has a perimeter of (12x "-40)" feet.Which expression represents the side length of the table (in feet)

Answers

The equation that represents the length of the square dining room in feet is (1/4)x - 5/6.

What are the dimensions of a square?

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If a side has a length 'a' then the diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

We know the perimeter of a square is 4×side.

We also know that 1 foot is equal 12 inches.

Given, A square dining room table has a perimeter of (12x - 40)".

Now if we factor out a 4 we'll have the side inside the bracket which is,

4(3x - 10)'', This is in inches to convert it to feet we have to divide what is inside the bracket by 12 which is,

= (3/12)x - 10/12 feet.

= (1/4)x - 5/6 feet.

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Can someone please help me with this I'm not great with math.

The width of a rectangle is unknown. The length of the rectangle is two more units than its width.

Write a simplified algebraic expression for the area of the rectangle in terms of width (w).

Write your answer in descending order with no spaces. Use w as your variable and use ^ infront of exponents

Answers

The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

The expressions are mainly of 4 types that includes:

Monomial Expression: These expressions have only one term.Binomial Expression: These expressions have two terms.Trinomial Expression: These expressions have three terms.Polynomial Expression: These expressions have many terms.

Let the width be w.

So, length of rectangle will be w+2

Now, area of rectangle is length*width

Area= (w+2)*w

= w^2+2w

Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.

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2. A Grade 12 student is taking Biology, English, Math, and Physics in her first term. If a student timetable has room for five courses (meaning the student has a spare), how many ways can she schedule her courses

Answers

The schedule of her course in 120 ways.

How to calculate how many ways can she schedule her courses?

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

According to the question there are five spaces for different subjects which are arranged in different order so the number of ways are

2(5,4)

= 5 * 4 * 3 *  2

=120 ways

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What is the rate of change for y= 0.75-2?

Answers

Answer:

The slope is 0.75.

The equation is y=0.75x-2

Step-by-step explanation:

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Write your best definitionhere, along with the words and phrases that were most helpful in determining the meaning of thephrase. Then, check a search engine to confirm your understanding. What is the median? Help please What is the importance of audio or sound in media forms such as film and television? What do Jim and Della realize at the end of the story? Dennis made an extra 245. 00 do for selling furniture was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennise sold? you are not liable for damage to property next to a street or highway if in a collision. Would the date of the duplicate payments usually be the same or different? According to the interest parity condition, if the domestic interest rate is 12 percent and the foreign interest rate is 10 percent, then the expected ________ of the foreign currency must be ________ percent. depreciation; 4 appreciation; 2 appreciation; 4 depreciation; 2 What are the similarities and differences between genetic engineering and selective breeding? what did the explorers expect the northeest passage to provide? Krause Industries balance sheet at December 31, 2016, is presented below.KRAUSE INDUSTRIESBalance SheetDecember 31, 2016AssetsCurrent AssetsCash $7,500Accounts receivable 73,500Finished goods inventory (1,500 units) 26,050Total current assets 107,050Property, Plant, and EquipmentEquipment $40,430Less: Accumulated depreciation 10,090 30,340Total assets $137,390LSales budget (8,000 units at $32) $76,800 $256,000Direct materials used 13,570 62,500Direct labor 12,500 50,900Manufacturing overhead applied 10,000 49,270Selling and administrative expenses 16,660 75,000To meet sales requirements and to have 2,500 units of finished goods on hand at December 31, 2017, the production budget shows 9,000 required units of output. The total unit cost of production is expected to be $18. Krause uses the first-in, first-out (FIFO) inventory costing method. Interest expense is expected to be $3,500 for the year. Income taxes are expected to be 40% of income before income taxes. In 2017, the company expects to declare and pay an $10,560 cash dividend.The companys cash budget shows an expected cash balance of $5,880 at December 31, 2017. All sales and purchases are on account. It is expected that 60% of quarterly sales are collected in cash within the quarter and the remainder is collected in the following quarter. Direct materials purchased from suppliers are paid 50% in the quarter incurred and the remainder in the following quarter. Purchases in the fourth quarter were the same as the materials used. In 2017, the company expects to purchase additional equipment costing $11,900. $9,437 of depreciation expense on equipment is included in the budget data and split equally between manufacturing overhead and selling and administrative expenses. Krause expects to pay $9,260 on the outstanding notes payable balance plus all interest due and payable to December 31 (included in interest expense $3,500, above). Accounts payable at December 31, 2017, includes amounts due suppliers (see above) plus other accounts payable of $8,250. Unpaid income taxes at December 31 will be $7,860.(a) Prepare a budgeted statement of cost of goods sold.KRAUSE INDUSTRIESBudgeted Cost of Goods SoldFor the Quarter Ending December 31, 2017For the Year Ending December 31, 2017December 31, 2017Cost of Goods ManufacturedManufacturing Overhead AppliedCost of Goods Available For SaleDirect Materials UsedIncome Tax ExpenseNet Income / (Loss)Selling and Administrative ExpensesSalesInterest ExpenseCost of Goods SoldFinished Goods Inventory, 1/1/17Finished Goods Inventory, 12/31/17Direct Labor $Cost of Goods ManufacturedCost of Goods Available For SaleFinished Goods Inventory, 1/1/17Selling and Administrative ExpensesCost of Goods SoldFinished Goods Inventory, 12/31/17Direct Materials UsedDirect LaborManufacturing Overhead AppliedIncome Tax ExpenseInterest ExpenseNet Income / (Loss)SalesCost of Goods Available For Sale Cost of Goods Manufactured Cost of Goods Sold Finished Goods Inventory, 12/31/17 Finished Goods Inventory, 1/1/17 Direct Materials Used Direct Labor Manufacturing Overhead Applied Income Tax Expense Interest Expense Net Income / (Loss) Sales Selling and Administrative Expenses $ Cost of Goods Manufactured Direct Materials Used Net Income / (Loss) Cost of Goods Available For Sale Manufacturing Overhead Applied Cost of Goods Sold Finished Goods Inventory, 12/31/17 Sales Selling and Administrative Expenses Finished Goods Inventory, 1/1/17 Direct Labor Income Tax Expense Interest ExpenseCost of Goods Sold Selling and Administrative Expenses Finished Goods Inventory, 1/1/17 Cost of Goods Available For Sale Finished Goods Inventory, 12/31/17 Direct Labor Direct Materials Used Income Tax Expense Manufacturing Overhead Applied Cost of Goods Manufactured Net Income / (Loss) Interest Expense SalesNet Income / (Loss)Direct Materials UsedDirect LaborManufacturing Overhead AppliedInterest ExpenseIncome Tax ExpenseSalesSelling and Administrative ExpensesCost of Goods SoldCost of Goods Available For SaleCost of Goods ManufacturedFinished Goods Inventory, 12/31/17Finished Goods Inventory, 1/1/17Cost of Goods Available For SaleCost of Goods ManufacturedNet Income / (Loss)SalesSelling and Administrative ExpensesManufacturing Overhead AppliedDirect Materials UsedFinished Goods Inventory, 1/1/17Cost of Goods SoldDirect LaborFinished Goods Inventory, 12/31/17Interest ExpenseIncome Tax ExpenseDirect LaborCost of Goods Available For SaleSelling and Administrative ExpensesNet Income / (Loss)Manufacturing Overhead AppliedCost of Goods SoldFinished Goods Inventory, 1/1/17Interest ExpenseIncome Tax ExpenseSalesDirect Materials UsedCost of Goods ManufacturedFinished Goods Inventory, 12/31/17 $ What should be added to the product of X and 2 to get x * 1 point? What were the ways monarchs tried to increase their power? The setting of The Colomber by Dino Buzzati takes place primarily in __________.the colomberthe seathe forestthe mountain Which type of view would best allow scientist to see the shape of the arm in a spiral galaxy? A. edge-on B. side-diagonal C. face-on D. bottom-up 6. It took Mrs. Whitaker's class 4 hours to build a snowman.They decided to build a second snowman, but this time it tookonly half the time it took to build the first one. What was thetotal amount of time to build both? to the origin is its velocity is and it is subject to a force Find (a) the acceleration of the object, (b) the angular momentum of the object about the origin, (c) the torque about the origin acting on the object, and (d) the angle between the velocity of the object and the force acting on the object.