6. Find cos C using the triangle below. Answers may be in decimal OR fraction form.​

6. Find Cos C Using The Triangle Below. Answers May Be In Decimal OR Fraction Form.

Answers

Answer 1
Cosine = adjacent/hypothenuse
Adjacent = angle between the right angle and C
Adjacent = 21
Hypothenuse = longest side
Hypothenuse = 35

Solution: 21/35

Related Questions


4. Nicole uses 2.5 meters of ribbon to decorate
door wreaths. There are 20 meters of ribbon on a
spool. Write an equation that could be used to
determine the number of wreaths that Nicole
could decorate using one spool of ribbon. Solve.
Equation:

Answers

An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:

                           W = S / R

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

An equation that could be used to determine the number of wreaths that Nicole could decorate using one spool of ribbon is:

W = S / R

where W is the number of wreaths, S is the total length of ribbon on the spool, and R is the length of ribbon used per wreath.

Plugging in the given values, we get:

W = 20 / 2.5

Solving for W, we get:

W = 8

So Nicole could decorate 8 wreaths using one spool of ribbon.

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The point N(-2,-3) is rotated 270° clockwise about the origin. What are the coordinates of N'?

A. (-3,-2)

B. (-3,2)

C. (3,-2)

Answers

The coordinate of N' is (2, -3)

Now, According to the question:

We have the point n (-2, -3) and we need to rotate it 270 degrees clockwise about the origin.

When rotating 270 clockwise about the origin you switch the x and y coordinate and use the opposite sign of the original y coordinate.

A(x, y) becomes A' (-y, x)

This means that point N becomes:

N (-2, -3) => N'(-(-2), (-3))

              => N'(2,- 3)

Hence, The coordinate of N' is (2, -3)

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Please help if you can ik it is Pythagorean theorem

Answers

Step-by-step explanation:

A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm

---> x^2 = h^2 + (b/2)^2

= (4.8 cm)^2 + (2.5)^2

= 23.04 cm^2 + 6.25 cm^2

or x = 5.41 cm

Therefore, the perimeter P is

P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm

hola me pueden ayudar es para hoy pliss doy coronita ✨​

Answers

Answer:

Step-by-step explanation:

A. 62

B. 58

C. -19

The answer is 622222

Please help will give brainliest

Answers

The answer will be A

HELP ASAP!!!!


A person is standing 19 feet from the base of a tree and there is a bird's nest in the tree 10 feet above the groundWhat is the angle off elevation from the person to the bird's nest? Round to the nearest tenth of a degree

Answers

Answer:

do your own work don't ask any question

⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ a(1)=20 a(n)=a(n−1)−17 ​ third term

Answers

The third term of the arithmetic sequence will be negative 14.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term is 20 and the common difference is calculated as,

aₙ = aₙ₋₁ - 17

aₙ - aₙ₋₁ = - 17

d = - 17

Then the third term is calculated as,

a₃ = 20 + (3 - 1) (-17)

a₃ = 20 + 2 (-17)

a₃ = 20 - 34

a₃ = - 14

The third term of the arithmetic sequence will be negative 14.

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please no links or anything but the correct answer!

Answers

Answer:

sinD ≈ 0.44

Step-by-step explanation:

sinD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CE}{CD}[/tex] = [tex]\frac{39}{89}[/tex] ≈ 0.44 ( to the nearest hundredth )

Don’t judge :|
help pls:p

Answers

Answer:

5x−4y

Step-by-step explanation:

:D

Answer: 5x - 4y

Step-by-step explanation: combining like terms means to combine the terms that have the same letter. so since the 3 and 2 have an x you combine them and the 3 and -7 have a y you combine them. hope this helped:)

What is the area of the figure, pls hurry 100 points

Answers

Answer:

25 1/6 square yards

Step-by-step explanation:

I am assuming you mean the area of the shaded figure.

So, let's do it this way.

Let's subtract the total area from the unshaded area:

7 1/4 x 6 = 43 1/2

Area of non-shaded = 18 1/3

Area of shaded = 43 1/2 - 18 1/3 = 25 1/6

Hope that helps! :)

-Aphrodite

=D I have been stuck on this omg

Answers

Answer:

rectangular prism maybe

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES

Answers

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

[tex]V = \pi r^{2}h[/tex]               *Plug in numbers*

[tex](3.14)(2.5)^{2}(7)[/tex]         *Square 2.5*

[tex](3.14)(6.25)(7)[/tex]        *Solve*

≈ [tex]137.375in^{3}[/tex]

Sphere:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]              *Plug in numbers*

[tex]\frac{4}{3} (3.14)(2.5)^{3}[/tex]         *Cube 2.5*

[tex]\frac{\frac{4}{3}(3.14)(15.625)}{2}[/tex]         *Divide by 2 and Solve*

≈ [tex]32.7083 in^{3}[/tex]

Add both volumes

[tex]137.375 + 32.7083[/tex] ≈ [tex]170.083in^{3}[/tex]

2.

Cylinder:

[tex]V = \pi r^{2}h[/tex]         *Plug in numbers*

[tex]\pi (3)^{2}(10)[/tex]            *Square 3*

[tex]\pi (9)(10)[/tex]             *Multiply*

[tex]90\pi[/tex]

Sphere:

[tex]V = \frac{4}{3}[/tex] π [tex]r^{3}[/tex]            *Plug in numbers*

[tex]\frac{4}{3}\pi (3)^{3}[/tex]                   *Cube 3*

[tex]\frac{4}{3} \pi (27)[/tex]                   *Multiply*

[tex]36\pi[/tex]

Add both Volumes to get total

[tex]90\pi + 36\pi = 126in^{3}[/tex]

3.

Sphere:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]              *Plug in numbers*

[tex]\frac{4}{3} (3.14)(3)^{3}[/tex]            *Cube 3*

[tex]\frac{4}{3} (3.14)(27)[/tex]            *Multiply*

[tex]113.04m^{3}[/tex]

Cone:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]             *Plug in numbers*

[tex]\frac{(3.14)(2)^{2}(5)}{3}[/tex]           *Square 2*

[tex]\frac{(3.14)(4)(5)}{3}[/tex]             *Solve*

[tex]20.93m^{3}[/tex]

Subtract the volumes to get the volume of the blue area

[tex]113.04 - 20.93 = 92.106m^{3}[/tex]

4.

Sphere:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]            *Plug in numbers*

[tex]\frac{4}{3}\pi (8)^{3}[/tex]                 *Cube 8*

[tex]\\\frac{4}{3}\pi (512)[/tex]               *Multiply*

[tex]\\\\\pi (682.6)[/tex]              *Solve*

[tex]2133.66in^{3}[/tex]           *Divide by 2 since it's a hemisphere*

Cone:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]            *Plug in numbers*

[tex]\frac{\pi (8)^{2}(20)}{3}[/tex]              *Square 8*

[tex]\frac{\pi (64)(20)}{3}[/tex]              *Multiply and Divide*

[tex]1340.41 in^{3}[/tex]

Add both volumes

[tex]1072.33 + 1340.41 = 2412.74in^{3}[/tex]

5.

Cylinder:

[tex]V = \pi r^{2}h[/tex]            *Plug in numbers*

[tex]\pi (6)^{2}(16)[/tex]              *Square 6*

[tex]\pi (36)(16)[/tex]             *Multiply*

[tex]576\pi[/tex]

Cone:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]            *Plug in numbers*

[tex]\frac{\pi (6)^{2}3}{3}[/tex]                  *Square 6*

[tex]36\pi[/tex]

Add both volumes

[tex]576\pi + 36\pi = 612\pi m^{3}[/tex]

Alternative: *Multiply π*

[tex]1922m^{3}[/tex]

Answer:

1) 175 [tex]in^2[/tex]

2) 1st option

3) 92 [tex]m^2[/tex]

4) 2412 [tex]in^3\\[/tex]

5) 2nd option

Step-by-step explanation:

[tex]1)\ A = D * Pi = 5 * 3.14 = 15.7\\[/tex]

[tex]2)\ V_{1} = 15.7 * 7 = 109.9[/tex]

[tex]3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)[/tex]

[tex]4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3[/tex] which is close to 175

[tex]1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\[/tex]

[tex]2)\ V_1 = A * h = 28.26 * 10 = 282.6[/tex]

[tex]3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04[/tex]

[tex]4)\ V_1 + V_2 = 282.6 + 113 = 395.6[/tex] which is very close to 396

[tex]5)\ 396 = 126 * pi[/tex]

[tex]1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)[/tex] =

[tex]2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\[/tex]

[tex]3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14[/tex] which is very close to 92

[tex]1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\[/tex]

[tex]2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733[/tex]

[tex]3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412[/tex]

[tex]1)\ A = Pi * R^2 = 36*Pi\\[/tex]

[tex]2)\ V_1 = 36*Pi * 16 = 576 * Pi\\[/tex]

[tex]3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi[/tex]

[tex]4) V_1 + V_2 = 576Pi + 36Pi = 612Pi[/tex]

Can someone help me with this?

Answers

Answer:11 weekends

Step-by-step explanation:

it will take 11 weekends

is it positive, negative or is it zero​

Answers

Answer:

What do you mean?

Step-by-step explanation:

Find the nearest tenth

Answers

Answer:

8.6

Step-by-step explanation:

Mean = Sum of numbers/amount of numbers

= (11+13+8+9+4+8+7)/7

= 60/7

= 8.6

Each side of a square office is 8 yards long. It will cost $65.00 per square yard to replace the carpet in the office. What would be the total cost replace the carpet?

Answers

Answer:

520 because 65 x 8 is 520

Step-by-step explanation:

Solve for x: 3(x + 1) = 2(x − 1)

Answers

Answer:

x= -5

Step-by-step explanation:

3x+3=2x-2

3x-2x=-3-2

x=-5

Answer:

x = -5

Step-by-step explanation:

First Expand the equation

3x+3 = 2x-2

Subtract 2x from both sides

x+3=-2

subtract 3 from both sides

x = -5

Hope this helps :)

SinA + cosA = √2, prove that tanA + cotA = 2

Answers

[tex]sin(A)+cos(A)=\sqrt{2}\hspace{10em}tan(A)+cot(A)=2 \\\\[-0.35em] ~\dotfill\\\\ tan(A)+cot(A)=2\implies \cfrac{sin(A)}{cos(A)}+\cfrac{cos(A)}{sin(A)}=2 \\\\\\ \cfrac{sin^2(A)+cos^2(A)}{cos(A)sin(A)}=2\implies \boxed{\cfrac{1}{cos(A)sin(A)}=2} \\\\[-0.35em] ~\dotfill[/tex]

[tex]sin(A)+cos(A)=\sqrt{2}\implies (~~sin(A)+cos(A)~~)^2=(\sqrt{2})^2 \\\\\\ sin^2(A)+2sin(A)cos(A)+cos^2(A)=2 \\\\\\ 2sin(A)cos(A)+sin^2(A)+cos^2(A)=2\implies 2sin(A)+1=2 \\\\\\ 2sin(A)cos(A)=1\implies \boxed{2=\cfrac{1}{cos(A)sin(A)}}[/tex]

now, another way to look at this identity will  be as a unified system of equations

[tex]\begin{cases} (~~sin(A)+cos(A)~~)^2=2\\\\ ~~ ~tan(A)+cot(A)=2 \end{cases}\implies (~~sin(A)+cos(A)~~)^2=tan(A)+cot(A)[/tex]

and we'd end up with the same rigamarole.

Marla is four years less than twice as old as Darla. If the sum of their age is 47, how old is Marla?

Answers

According to the given algebra Darla is 17 years old and Maria is 30 years old.

What algebraic fundamentals are there?

Numbers, parameters, constants, expressions, equations, linear equations, and quadratic equations are all part of the fundamentals of algebra. Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, as well as division.

According to the given information.

Maria is 4 years younger than Don,

thus if Don is x years old, then Maria is x years younger. (2x-4)

If their ages added together equal 47,

then x + (2x-4) = 47

Solving for x, then determining Maria's age (2x-4)

3x=47+4

3x=51

x=51/3

x=17 years

Maria's age=2*17-4=30 years

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ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

B

Step-by-step explanation:

Theorem: If a quadrilateral has 2 sets of opposite sides congruent, 2 sets of opposite angles congruent, and has consecutive angles which are supplementary, then it is a parallelogram.

Hope this helps!

The diagram shows two rectangles.



The combined area of both rectangles is

By considering the areas of the two rectangles, find an equation in the form that satisfies .

Answers

We know that :

⊕   Area of a Rectangle is given by : Length × Width

Let us calculate the Area of the Rectangle in the Left side of the figure

⇒   Area of Left Rectangle : (x - 3) (x + 2x)

⇒   Area of Left Rectangle : (x - 3) (3x)

⇒   Area of Left Rectangle : 3x² - 9x

Let us calculate the Area of the Rectangle in the right side of the figure

⇒   Area of the Right Rectangle : (x - 1)(x)

⇒   Area of the Right Rectangle : x² - x

Given : Combined area of both rectangles is 50 cm²

⇒   3x² - 9x + x² - x = 50

⇒   4x² - 10x = 50

⇒   2x² - 5x - 25 = 0

Comparing the above equation with ax² + bx + c = 0,

we can notice that :

→   a = 2

→   b = -5

→   c = -25

a+ 1 1/6 = 11 7/9
...........................

Answers

Answer:

a = 191/81

Step-by-step explanation:

a+ 1 1/6 = 11 7/9

1 1/6 = 7/6

11 7/9 = 106/9

So, our equation is

a + 7/6 = 106/9

Subtract 7/6 from both sides

a = 191/81

So, the answer is

a = 191/81

Solve for x. Assume that lines which appear tangent

Answers

Answer:

Step-by-step explanation:

Join line EG with a straight edge.

Put a point in the middle of the circle.

Call it O.

GO and EO form a central angle.

GOE = 120 degrees

Any point on the circumference of a circle that is on the same side of EG as the peak of the central angle = 1/2 the central angle. It's much easier to do this with an example

Arc EOG = 120 degrees.       The Central angle = the arc.

EFG = 1/2 EOG

EFG = 1/2 120

EFG = 60

11x + 5 = 60                           Given

     -5       -5                           Subtract 5 from both sides.

11x        = 55                           Divide by 11

x = 55/11

x = 5

A retailer is offering 5% off your total order, if you sign up for their email list. If your total is $254.20, how much will you save by signing up?

Answers

Answer:

$254.20 -  5%= 241.49 US$

so you will save up to 14

Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13

Answers

Answer:

Step-by-step explanation:

a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]

b.so 190000÷4.2=4523

c.finally, about 4523 times

To compare the two numbers, we need to compare the ratio of 1.9 • 10^-8 to 4.2 • 10^-13.

The first number, 1.9 • 10^-8, can be written as 0.00000019.
The second number, 4.2 • 10^-13, can be written as 0.000000000000042.

We can see that 1.9 • 10^-8 is much larger than 4.2 • 10^-13, as it has more trailing zeros. We can estimate that 1.9 • 10^-8 is about 45 times larger than 4.2 • 10^-13.

We can confirm this by counting the difference in the number of trailing zeros in both numbers. 1.910^-8 has 8 trailing zeroes and 4.210^-13 has 13 trailing zeroes, meaning 1.910^-8 is 8-13= -5 orders of magnitude larger than 4.210^-13

Use the diagram to help you solve the equation 4x-12=16 how to do it

Answers

32 because if you -32+16 it would be 16

What are the 4 names of an angle?

Answers

The four names of an angle are acute angle, right angle, obtuse angle, and reflex angle.

An acute angle measures less than 90 degrees.

A right angle measures exactly 90 degrees.

An obtuse angle measures greater than 90 degrees but less than 180 degrees.

A reflex angle measures greater than 180 degrees but less than 360 degrees.

It's worth noting that these names are based on the measure of the angle, an acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a reflex angle is greater than 180 degrees but less than 360 degrees.

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which answer is this
A.43
B.38
C.61
D.81

Answers

it is 61 the angles should add up to 180
C.61

A triangle always has 180 degrees total so 81+38 = 119 and 180 - 119 = 61z

Which function is shown on the graph?
of(x) = 1/2cos x
of(x) = -1/2cos x
Of(x) = -1/2sin x
Of(x) = 1/2sin x

Answers

The reasons and responses to the graphs in the question are as follows:

Graph 1.

The amplitude of the first graph is (1/2) which is the height from the midline to the peak

The value of the function at x = 0 is -(1/2), where sin(0) = 0, therefore, the function is a cosine function

The period of the graph is 2·π, which is the period of the parent cosine function

Therefore, the correct option is

Graph 2: Please find attached the graph of the function g(x) = 2×cos(x)

Graph 3: The frequency of a sinusoidal function is given as follows;

The period of the graph = π

Therefore;

The frequency of the sinusoidal graph is 2

Graph 4.  Required:

To find the equation that represents the function of the graph

Solution;

The period of the function, T = π

The graph of the function has a maximum at x = 0, therefore, the graph is similar to a cosine function, y = cos(B·x)

Where;

B = 2·π/T

Therefore;

B = 2·π/π = 2

Therefore;

The equation that represent the function in the graph is f(x) = cos(2·x)

Question 5. The given function is f(x) = cos(2·x)

The frequency factor in the given function, B = 2

The period, T = 2·π/B

Therefore, T = 2·π/2 = π

The period of the function, f(x) = cos(2·x), is 2

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Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18

Answers

The function be f(x) = (6) then growth factor for the given equation (b) = 6.

What is meant by exponential growth function?

Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.

A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

The general exponential growth function is given by :-

[tex]$f(t)=A b^t$[/tex] , where A is the initial amount , b is the growth factor and t is the time period.

The given function : [tex]$f(x)=(6)^x$[/tex]

When we compare it to the general exponential equation , we get

The growth factor for the given equation (b) = 6.

The complete question is:

Consider the function f(x) = (6)x. What is the value of the growth factor of the function?

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The function be f(x) = (6) then growth factor for the given equation (b) = 6.

What is meant by exponential growth function?

Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.

A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.

The general exponential growth function is given by :-

F(t) = AB^t, where A is the initial amount , b is the growth factor and t is the time period.

The given function : f(t) = (6)^x

When we compare it to the general exponential equation , we get

The growth factor for the given equation (b) = 6.

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The complete question is:

Consider the function f(x) = (6)x. What is the value of the growth factor of the function?

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What credit score is needed for a $200000 home loan? I need help with this you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct Put the pieces of this summary of Melvilles novel Moby-Dickin order: Captain Ahab reveals the purpose of this voyage, which is to hunt down a white whale that injured him. Before long, the whale is sighted and the battle begins. The conflict has been resolved and order restored at the expense of the Pequod, its crew, and its captain. At the beginning of the story, we meet the narrator, who introduces us to Captain Ahab and the crew of his ship, the Pequod. As he fights to capture the whale, Ahab is killed. All of Ahabs men are also killed and the Pequod is destroyed! At the end of the novel, the narrator explains how he lived to tell the tale. What order does the summary lie upon from exposition, rising action, climax, falling action, and conclusion. Anna says "People don't have purposes" but then goes on to list examples of people'spurposes. Which statement best describes Anna's use of the word "purpose" throughout thepassage? I need help pleaseee PLZ HELP!!!!!!!!!!!IM BEING TIMED!!!!!!!!!!!HELP!!!!!!!!!!!!!!!!!! Selena has 9 homemade bracelets for $12 each then 14 bracelets for $8 each. How much did she make in sales?(Use the correct operation or combination of operations to solve the problem) PLS ANSWER THIS QUESTION One method users can employ to determine what the Game Camera object 'sees' is by looking for the yellow box it draws around a scene view.TrueFalse Describe a sequence of transformation that maps triangle DOG onto triangle CAT Animation today uses far fewer frames per second than early animationO TrueO False Plzz help me Well Mark Brainliest if correct!, The individuals of this population mate randomly and never move (i.e., there is no migration into or out of the population), and mutation also does not occur. Each couple has two children and the parents die after having their second child, so the population size does not change. Answer the questions about this population after the parents have had both children and are dead. Which is true about the next generation of this population?A. The genotypic frequencies will remain the same as they were in the parent population.B. The genotypic frequencies will be double of what they were in the parent population.C. The allele frequencies will be double what they were in the parent population.D. The allele frequencies will remain the same as they were in the parent population.E. Both genotypic and allele frequencies will remain the same as they were in the parent population. What is the difference between getting energy from cellular respiration and getting energy from a log by burning it? At which points are the equations y = x2 3x 2 and y = 2x 3 approximately equal? During this stage of team formation and function, there may be conflict when individuals realize the responsibility of their role.performingstormingformingnorming 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 $ 30% of what number is 33.0 Find cos(a) in the triangle.