(a) Let E be an intermediate field of the extension K⊂F and assume that E=K(u1,…,ur)
where the ui are (some of the) roots of fεK [x]. Then F is a splitting field of f over K if and only if F is a splitting field of f over E. (b) Extend part (a) to splitting fields of arbitrary sets of polynomials.

Answers

Answer 1

All the roots of all the polynomials in {f1, ..., fn}.

(a) Let E be an intermediate field of the extension K⊂F and assume that E=K(u1,…,ur) where the ui are (some of the) roots of fεK [x]. Then F is a splitting field of f over K if and only if F is a splitting field of f over E.

(b) We can extend part (a) to splitting fields of arbitrary sets of polynomials by first noting that the field E must contain the coefficients of all the polynomials in the given set. This implies that for a given set of polynomials {f1, ..., fn}, the field F is a splitting field over K if and only if it is a splitting field over E, where E is the smallest field containing the coefficients of {f1, ..., fn}. In other words, F must contain all the roots of all the polynomials in {f1, ..., fn}.

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Related Questions

Isn't it supposed to be one black triangle and one black square?

Answers

The value of the model expression when simplified is (d)

How to determine the expression

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

Black triangle = -xWhite triangle = xBlack square = -1White square = 1

Using the above as a guide, we have the following:

The given expression is

3 * Black triangle + 2 * White triangle + 2 * Black square + 1 * White square

This gives

-3x + 2x - 2 + 1

Evaluate the like terms

-x - 1

This means

1 Black triangle and 1 Black square

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On a certain day, the temperature of the pool was 76°F at 10 A.M. and 91°F at 1 P.M. If the temperature rose at a constant rate from 10 A.M. to 1P.M. on that day, what was the temperature at 11 A.M.? a. 79°F d. 89°F b. 81°F e. 90°F c. 86°F

Answers

The correct answer is b. 81°F.

On a certain day, the temperature of the pool rose at a constant rate from 76°F at 10 A.M. to 91°F at 1 P.M. To find the temperature at 11 A.M., we need to find the rate of change in temperature and then use it to calculate the temperature at 11 A.M.

The rate of change in temperature can be found by dividing the difference in temperature by the difference in time:

Rate of change = (91°F - 76°F) / (1 P.M. - 10 A.M.) = 15°F / 3 hours = 5°F per hour

Now, we can use this rate of change to find the temperature at 11 A.M.:

Temperature at 11 A.M. = 76°F + (5°F per hour)(1 hour) = 81°F

Therefore, the correct answer is b. 81°F.

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point (s) possible Find the LCD (least common denominator ) of the set of fractions. Do not combine the fractions; only find the LCD. (7)/(20) and (9)/(40)

Answers

The answer are LCD (least common denominator) of the set of fractions (7)/(20) and (9)/(40) is 40.

Here is a step-by-step explanation on how to find the LCD:

1. Find the multiples of each denominator.

- Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200...

- Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400...

2. Compare the multiples of each denominator and find the smallest number that appears in both lists.

- The smallest number that appears in both lists is 40.

3. The smallest number that appears in both lists is the LCD.

- Therefore, the LCD of the set of fractions (7)/(20) and (9)/(40) is 40.

So the answer to the question "Find the LCD (least common denominator) of the set of fractions. Do not combine the fractions; only find the LCD. (7)/(20) and (9)/(40)" is 40.

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Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation. (Enter the first four nonzero terms for each linearly independent solution, if there are fewer than four nonzero terms then enter all terms. In each case, the first term has been provided for you. )

3xy" y+y=0

Y₁ = 1 -

12 = x2/3

Answers

The two linearly independent solutions are y₁(x) = 1 - (x²/3) + (x⁴/81) - (x⁶/2187) + … and y₂(x) = x - (x³/9) + (x⁵/405) - (x⁷/21870) + ...

We can use the power series method to find the two solutions of the given differential equation:

Let y = ∑anxn be a power series solution. Then, we have:

y' = ∑nanxn-1

y'' = ∑nan(n-1)xn-2

Substituting these into the differential equation and equating coefficients of like powers of x, we get:

3x∑nan(n-1)xn-1 + ∑anxn = 0

Simplifying, we obtain:

∑[3nan(n-1) + an-1]xn = 0

Since x ≠ 0, the coefficients of like powers of x must be zero. This gives us the recurrence relation:

an = -an-1/(3n(n-1)), n ≥ 1

Using this recurrence relation and the initial condition y(0) = 1, we can find the power series solution:

y₁(x) = 1 - (x²/3) + (x⁴/81) - (x⁶/2187) + ...

To find a second linearly independent solution, we can use the method of reduction of order. Let y₂(x) = v(x)y₁(x). Then, we have:

y₂' = v'y₁ + vy₁'

y₂'' = v''y₁ + 2v'y₁' + vy₁''

Substituting these into the differential equation and simplifying, we get:

v''y1x + (2v'y1' + vy1'')x + 3vy1 = 0

Since y₁(x) is a solution, we have:

y₁'' + (1/3x)y₁ = 0

Multiplying by y1 and integrating, we obtain:

(y₁')² + y₁²/3 = C

where C is a constant of integration. Using the initial condition y₂(0) = 0, we can find the second solution:

y₂(x) = x - (x³/9) + (x⁵/405) - (x⁷/21870) + ...

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Mrs.may mixed 4 gal of red paint with every 6 gal of blue paint in order to make purple paint. which ratio of gallons of red paint to gallons of blue pint will make the same shade of purple paint?

Answers

Answer: 20 gallons of red paint and 30 gallons blue paint

Step-by-step explanation:

NEED HELP DUE FRIDAY!!!!!!!!!!!
Find cos(A), sin(A), and tan(A) for triangle ABC.

Answers

Answer:

It’s a right triangle

Step-by-step explanation:

15 squared plus 8 squared equals 17 squared which 289=289

Calculate the interest earned when $46 230 is invested for 9 years at 7.8% p.a., with interest compounded twice a year.​

Answers

Given:

What is the interest earned when $46,230 is invested for 9 years at 7.8% p.a?

To find:

The interest

Solution:

[tex]interest = \frac{p \times r \times t}{100} [/tex]let the interest be x. [tex]x = \frac{46230 \times 9 \times 7.8}{100} [/tex][tex]x = 32456.46[/tex]But the interest is compounded twice a year so,

[tex]32456.46 \times 2 \times 9[/tex][tex] = 64912.92 \times 9[/tex][tex] = 584216.28[/tex]therefore, the final answer is 584,216.28

extra points for help (dont guess please)

Answers

The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

What exactly are exponential functions?

Exponential functions are functions that involve a variable exponent. They are of the form f(x) = aˣ, where "a" is a positive constant base and "x" is the variable exponent.

Exponential functions exhibit rapid growth or decay, depending on the value of "a" and the sign of "x". For example, if "a" is greater than 1, the function grows rapidly as "x" increases, while if "a" is between 0 and 1, the function decays rapidly as "x" increases.

Now,

As stated above that for exponential function y=aˣ

when a>1 it shows exponential growth

and when a<1 it shows decay.

hence,

          The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

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Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression 7x2 − 4xy + 8. The friends have already collected the following amounts:

Martin: 5xy + 16

Tyreese: x2

Braydon: 4x2 − 7

Which expression represents the amount of money the friends still need to collect to meet their goal?

2x2 − 9xy − 1
2x2 + xy + 17
5x2 + 5xy + 9
12x2 + xy + 17

Answers

2x2 - 9xy - 1 is the expression for how much money the buddies still need to gather to reach their objective.

What exactly is a phrase?

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities.

The total of what they have already raised towards the overall fundraising target.

The total contribution goal is given as: 7x² - 4xy + 8

The amount Martin has already collected is: 5xy + 16

The amount Tyreese has already collected is: x²

The amount Braydon has already collected is: 4x² - 7

Adding the amounts already collected:

= (5xy + 16) + x² + (4x² - 7)

= 5xy + x² + 4x² + 16 - 7

= 5xy + 5x² + 9

By deducting the total of the contributions from the overall contribution target:

= (7x² - 4xy + 8) - (5xy + 5x² + 9)

= 2x² - 9xy - 1

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Answer: A

Step-by-step explanation: i wish other people would just put the letter, but here ya go c:

Use a calculator to find the trigonometric value to 4 decimal places. sin 14° = __________

Answers

The trigonometric value of sin 14° to 4 decimal places is sin 14° = 0.241.

Step 1: Enter the value of 14 into the calculatorStep 2: Press the sin button on the calculatorStep 3: The calculator will display the value of sin 14°Step 4: Round the value to 4 decimal places


The value of sin 14° to 4 decimal places is 0.2419.

What are angles?

An angle is the measure that determines two straight lines, which when joined together create a point of origin, which is called the vertex of the angle.

The unit of measurement associated with angles is degrees.

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In Exercises \( 1-8, W \) is a subset of \( R^{2} \) consisting of vectors of the form \[ \mathbf{x}=\left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right] \] In each case determine whether \( W \)

Answers

Yes

Yes, \( W \) is a subset of \( R^{2} \) since it consists of vectors of the form
\[ \mathbf{x}=\left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right] \]. Therefore, for Exercises \( 1-8 \), the answer is yes.

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23
b. Complete the double number line diagram that represents the situation.
Photos
0
0
Minutes!
:: 1
7
2
4
:: 4
:: 6
1
#15
21
8
3
28
:: 9
80
#20
# 10
35
12
:: 14


PLEASE HELP I NEEEDA LIKE FINISH IT RN HELP

Answers

Answer:

10mins for 35 photos

Step-by-step explanation:

If it takes 8mins to produce 28photos, that is ratio 1:3.5

For 7 photos, divide by 3.5, that is 2mins

For 4mins, multiply by 3.5, that will be 14photos

For 21 photos, divide by 3.5, that will be 6 mins

What is the solution to this equation?
9 ^x- 1 = 2
O A. 1
O B. 2
O C.
1/2
OD. -1/2

Answers

The solution to this equation 9ˣ - 1 = 2 is 1/2.

The correct option is A.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

An equation:

9ˣ - 1 = 2

Simplifying,

9ˣ  = 3

3²ˣ = 3

Comparing, we get,

2x = 1

x = 1/2

Therefore, the solution is x = 1/2.

For each relationship described, type an equation using the variables y and z to create an identity. a. addition and subtraction: b. multiplication and division: (when y 0 or when z = 0)​

Answers

Step-by-step explanation:

addition and subtraction:

y + z - z = y

b. multiplication and division:

When y ≠ 0:

yz / y = z

When z ≠ 0:

y / z * z = y

The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume?

Answers

The volume of the rectangular prism whose surface area is 250 cm square is 250cubic centimeters.

The surface area of a rectanular prism is calculates by the formula

= 2( length*width + length*height + width*height ) square units

Let the length of the given prism be l centimeters.

Given, width is 5 centimeters and height is 10 centimeters of the rectangular prism.

The surface area of the rectangular prism is 250 cm square.

Thus by the above formula,

250 = 2 ( l*5 + l*10 +10*5)

⇒250 = 2 (15*l +50)

⇒ 250= 30*l + 100

⇒ 150 = 30*l

⇒l = 150/30 = 5 (centimeters)

Thus the volume of the given rectangular prism is calculated as

= ( length*width*height) cubic units

= (5*5*10) cubic centimeters

= 250 cubic centimeters

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In Exercises 11-14|, use a matrix equation to solve the system of linear equations. \( 11\left\{\begin{array}{r}x+2 y=3 \\ 2 x+6 y=5\end{array}\right. \)

Answers

 x = 4/3 and y = 2/3


To solve this system of linear equations using a matrix equation, we first need to construct a matrix by writing the coefficients of the variables and the constants from the equation in a rectangular array.

The matrix for the given equations will be:

| x  |  y | = | 3 |
| 2  |  6 |   | 5 |



Now, we can solve the system by multiplying the inverse of the matrix of coefficients with the matrix of constants. To find the inverse of the matrix, we can use the following equation:

A-1 = 1/|A| * adj(A)



where |A| is the determinant of the matrix, and adj(A) is the adjoint of the matrix.

We can use this equation to find the inverse of the matrix, which is:

| x  |  y |-1 = 1/12 * |  6  |  -2 |
                              | -2  |  1  |



We can then multiply this inverse by the matrix of constants to get the solution for the system:

| x | = (1/12)*(18 - 10) = 4/3
| y |   (6 - 4)            = 2/3



Therefore, the solution for the system is x = 4/3 and y = 2/3.

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Designing an Addition A 40-ft-wide house has a roof with a
6-12 pitch (the roof rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will have a 3-12 pitch to its roof. Find the lengths of AB and BC in the accompanying figure.

Answers

We can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

What is sine formula in trigonometry?

Sine formula is used to calculate the sine angle of a right-angled triangle which is the ratio of the opposite side and the hypotenuse.

Given is that a 40-ft-wide house has a roof with a 6-12 pitch (the roof

rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will

have a 3-12 pitch to its roof.

We can write the measure of length AB as -

AB = 6 + √(9 + 296)

AB = 6 + 17.46

AB = 23.46 ft

We can write the measure of length BC as -

BC = 6 + 1/4 x 12

BC = 6 + 3

BC = 9 ft

Therefore, we can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

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Practice and Problem S Subtract using the vertical form. 1. (5g^(2)+6g-10)-(2g^(2)+2g+9)

Answers

(5g^(2)+6g-10)-(2g^(2)+2g+9) = 3g^(2) + 4g - 19



To subtract the two polynomials, we will use the vertical form. This means that we will line up the like terms and subtract them.

Step 1: Line up the like terms in the vertical form.

5g^(2) + 6g - 10

- (2g^(2) + 2g + 9)

Step 2: Distribute the negative sign to each term in the second polynomial.

5g^(2) + 6g - 10

- 2g^(2) - 2g - 9

Step 3: Subtract the like terms.

5g^(2) - 2g^(2) = 3g^(2)

6g - 2g = 4g

-10 - 9 = -19

Step 4: Write the final answer.

3g^(2) + 4g - 19

Therefore, the answer is 3g^(2) + 4g - 19.

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Ina makes cakes in a pan shaped like a rectangular prism. The base of the pan is an 8-inch by 12-inch rectangle, and the volume of the pan is 288 cubic inches. Find the surface area of a cheesecake baked in this pan

Answers

Answer:

312 square inches

Step-by-step explanation:

To find the surface area of a cake baked in a rectangular pan with an 8-inch by 12-inch base and a volume of 288 cubic inches, we need to find the dimensions of the pan. We can do this by dividing the volume by the area of the base, which gives us the height of the pan. Once we know the height, we can use the dimensions of the base and the height to find the surface area of the cake.

the form Q+bar (D) where the degree of R is less than the degree of (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4)

Answers

In this expression, Q+bar (D) is a polynomial, and we are asked to compare the degree of R with that of the polynomial (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4).

The degree of a polynomial is determined by the highest power of the variable. The highest power of c in (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4) is 3, so this polynomial has a degree of 3.

To compare it to the degree of R, we need to know the highest power of R in our expression. If the degree of R is less than the degree of (c^(3)+2c^(2)-5c-2)/(c^(2)+c-4), then the expression Q+bar (D) will have a degree of 3.

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Find the values of x and y
. Write your answer in
simplest form.
X
45°
X =
y =
y
16
&

Answers

Answer:

X: 45° Y:16°

Step-by-step explanation:

by help of teacher

How to express a two logarithm into a single logarithm

Answers

Answer:

There are different methods to express a two logarithm into a single logarithm, depending on the specific form of the logarithms involved. Here are some examples:

Logarithms with the same base:

If you have two logarithms with the same base, you can use the following logarithmic identity:

log_a(x) + log_a(y) = log_a(xy)

Using this identity, you can express a sum or difference of logarithms with the same base as a single logarithm:

Example 1: log_2(3) + log_2(5) = log_2(3*5) = log_2(15)

Example 2: log_5(7) - log_5(2) = log_5(7/2)

Logarithms with different bases:

If you have two logarithms with different bases, you can use the following change of base formula to express them with a common base:

log_a(x) = log_b(x) / log_b(a)

Using this formula, you can rewrite a logarithm with a base a as a logarithm with a base b:

Example 1: log_2(7) = log_10(7) / log_10(2)

Example 2: log_5(2) = log_2(2) / log_2(5)

Once you have expressed both logarithms with the same base, you can apply the logarithmic identity from method 1 to simplify them into a single logarithm.

Find the minimum and maximum of P=4x+2y subject to 3x+5y>=20 3x+y<=16 -2x+y<=2 x>=0,y>=0

Answers

The minimum of P is 16 and the maximum of P is 24.


Calculating the value of P for these points, we get:


P(2,6) = 4*2 + 2*6 = 20


P(0,8) = 4*0 + 2*8 = 16


P(4,2) = 4*4 + 2*2 = 24


P(3,3) = 4*3 + 2*3 = 18


Therefore, the minimum of P is 16 and the maximum of P is 24.

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Please note that for 1 pound of bananas the cost is
$0.63/lb
(according to the US Bureau of Labor Statistics.) In 1939 , the cost of bananas was
14%
lower. Pam buys 5 pounds of bananas for children at the camp she works for. What would these bananas have cost in 1939?

Answers

The cost of 5 pounds of bananas in 1939 would have been $2.709.

According to the US Bureau of Labor Statistics, the cost of 1 pound of bananas is $0.63/lb. In 1939, the cost of bananas was 14% lower. Therefore, to find the cost of bananas in 1939, we need to calculate 14% of $0.63/lb and then subtract it from $0.63/lb.

Calculate 14% of $0.63/lb
0.14 * $0.63/lb = $0.0882/lb

Subtract $0.0882/lb from $0.63/lb to get the cost of bananas in 1939
$0.63/lb - $0.0882/lb = $0.5418/lb

Multiply the cost of bananas in 1939 by the number of pounds Pam buys
$0.5418/lb * 5 lb = $2.709

Therefore, the cost of 5 pounds of bananas in 1939 would have been $2.709.

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e) Solve: f(x) = g(x) for x = [-240°; 240°]​

Answers

Answer:

218.88

Step-by-step explanation:

Use the commutative or associative property to simplify the expression. (1)/(13)(13y)

Answers

The simplified expression of (1)/(13)(13y)  is 169y.

To simplify the expression (1)/(13)(13y) using the commutative or associative property, we can rearrange the terms and group them together.

Using the commutative property, we can rearrange the terms so that the two 13's are next to each other:

(1)(13)(13y) = (13)(13y)(1)

Now, using the associative property, we can group the two 13's together and simplify:

(13)(13y)(1) = (13*13)(y)(1) = (169)(y)(1)

Finally, we can simplify further by multiplying the 169 and 1 together:

(169)(y)(1) = (169y)(1) = 169y

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what is the ratio of 2:35

Answers

Answer:

2:35

Step-by-step explanation:

when flying on an air plane the weight limit for carry on luggage is 30 pounds there are approximately 453.6 grams in 1 pound which measurement is closet to the weight of the checked luggage in grams

Answers

Answer:

Step-by-step explanation:

30x453.6=13608 grams

Find the measure of pkt​

Answers

Answer:

  32°

Step-by-step explanation:

You want the measure of the smaller angle of the linear pair marked (3g+23) and (7g+127).

Linear pair

The angles of a linear pair total 180°, so we have ...

  (3g +23) +(7g +127) = 180

  10g = 30 . . . . . . . . . subtract 150

  g = 3 . . . . . . . . . divide by 10

The smaller angle is ...

  ∠PKT = (3·3 +23)°

  ∠PKT = 32°

Work the problem using the three-step method. Show your work.
The sum of three consecutive integers is 18. Find the integers.
WRITER

Answers

Answer:

5,6 and 7.

Step-by-step explanation:

I am not sure what the three step method is, but here is how I solved it.

Consecutive integers means integers in a row.  For example, 5,6 7 are consecutive integers or -4,-3,-2 are consecutive integers.

Integers are all the whole numbers (0,1,2,3...) and their opposites (..., -3, -2, -1)  1/2 or -.23 are not integers.

Let x = the first number

Let x + 1 = the second number

Let x + 2 = the third number

x + (x + 1) + (x + 2) = 18  I do not need the parentheses, but I want you to see that  the first number, plus the second number, plus the third number equals 18.

x + x + 1 + x + 2  = 18  Combine like terms

3x + 3 = 18  Subtract 3 from both sides of the equation

3x + 3 - 3 = 18 - 3

3x = 15  Divide both sides by 3

[tex]\frac{3x}{3}[/tex] = [tex]\frac{15}{3}[/tex]

x = 5

The first number is 5.  The second number is 6 and the last number is 7.

Check:

5 + 6 + 7 = 18

18 =18 Checks.

Helping in the name of Jesus.

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Which pair of words is often used to describe tone What did both Claude Henri de Saint-Simon and Charles Fourier have in common?Both wrote criticisms of The Communist Manifesto.Both opposed equal rights for women.Both promoted violent revolution as a way to overthrow the ruling bourgeoisie.Both believed it was possible to create utopias, or ideal societies. In paragraphs 3 and 4, how does Tannen explain women's tenden- cies to use "covert" communication strategies? Write down at least two reasons that the author provides . Select the correct answer.Light ray A moves from air to water. Part of ray A is reflected at the air-water boundary. Which arrow in the image is the reflected ray?A picture shows a light ray A moving from air to water. Ray B moves from water to air. The rays C and D move down inside the water and the ray E moves along the surface of the water. I NEED HELPPPPP 1.Outlinethe principle of imm unoprecipitation and how it is applied in thediagnosis of typhoid fever and blood grouping.2.Whatare coliforms and give two examples? 1Destiny combines 8.27 liters of red paint with 6.65 liters of blue paint to make purple paint. Shepours the paint equally into 2 containers, and has 1.56 liters of paint left over. How many litersof paint are in each container? >Container?2There areSolve on paper. Then check your work on Zearn.Total paint = 8.27 + 6.65M1|L1634Decimal Problem Solving5 6Containerliters of paint in each container.7 8 90Paint left1.56Enter What best describes the interaction described below:Dodder and shrub. The Dodder plant grows on the shrub. The dodder takes water from the shrub and the branches of the dodder pierce the tissues of the shrub. Eventually the shrub will die.Group of answer choices Firm commitment underwriting is the process in which an investment banker agrees to purchase the entire issue at a set price. For large issues, usually a group of investment bankers or underwriters gets involved to spread the risk inv 4.50% he issue. Such a group is called a rights offering group 4.71% Consider the case of Green Caterpillar Garden Supplies Inc.'s public cash offering. 5.40% 0.47% Hurray Bank was the underwriter in the deal. Hurray Bank sold 1,300,000 shares to the pul 0.80 per share. Green Caterpillar received $25,823,200 from the public offering. Hurray Bank's underwriting spread in this deal was In general, underwriters receive lower spreads for which of the following? O Competitively bid utility issues O Negotiated industrial offers Firm commitment underwriting is the process in which an investment banker agrees to purchase the entire issue at a set price. For large issues, usually a group of investment bankers or underwriters gets involved to spread the risk involved in the issue. Such a group is called a rights offering group a rights offering group Caterpillar Garden Supplies Inc.'s public cash offering. a purchasing syndicate 7. Non-IPO fundraising Apart from listing shares on stock markets and engaging in initial public offerings (IPOs), companies often resort to alternative methods of raising capital. Consider the following case, and answer the question that follows: In June 2010, WSFS Financial Corporation filed Form S-3 under SEC Rule 415 and announced that the company will be raising $150 million over a three-year period and using these funds for working capital and general corporate purposes. The previous case is an example of: Public cash offering Private placement Shelf registration ANSWER FOR 50 POINTSWhat job did Jackson Pollock have during the Great Depression?Question 1 options:He painted charicatures and portraits for people on the street.He worked for Roosevelt's program, Public Works of Art Project, creating murals.He worked at the Museum Modern of Art in New York City.He worked for his wife as an assistant. each interior angle of a regular polygon measures 156 how many sides does the regular polygon have ? Select all that apply:Identify the reasons why Marbury v. Madison remains one of the most important Supreme Court cases in U.S. History (check all that apply) ait was the first time the Supreme Court decided a disputed presidential election, awarding the presidency to James Madison bit was the first case in which the Supreme Court exercised judicial review. cit was the case in which the Supreme Court decided President James Madison had taken more power than the Constitution allowed. dby asserting judicial review, it elevated the judicial branch to equal status with the other two branches of government. ethe Supreme Court decided a law gave the court more power than the Constitution allowed, so the court went into recess until the law was repealed. is un friendly a common noun or proper There has been a recent outbreak of a deadly disease in a particular locality. The local health council has determined that the chance of survival for a person who tests positive for the disease is 30%. In one of the public hospitals in the said locality, 12 people have been admitted and tested positive for the disease. Of these 12 individuals: What is the measure of the three missing angles in the rhombus below? a Right circular cylinder has the dimensions shown belowR= 17.2 mH = 15.3what is the volume of the cylinder a varies directly as b and inversely as the square of c. If a=113 when b=7 and c=8, find a if b=5 and c=3. Round your answer to two decimal places if necessary. A saltwater aquarium can be used to model the ocean. What is one limitationof this model?OA. It is shallower than the ocean.OB. Its temperature can be varied.C. It can show how light affects ocean plants.OD. It can show how certain fish swim in the ocean. Which of the following was not a contribution of the Vedic Age? (1 point) Jane Moffat has just graduated with $45,000 of student loan debt. She has started to work for an entry-level accounting position at ABC Company Limited where she does not have much authority and all of her work has to be reviewed by her supervisor, and then the manager. Jane is a very honest person. Which of the following is true about Jane? a. Jane has a high amount of situational pressure, low opportunity to commit fraud, and has high personal integrity. b. Jane has a high amount of situational pressure, a high opportunity to commit fraud, and has high personal integrity. c. Jane has a low amount of situational pressure, a low opportunity to commit fraud, and low personal integrity. d. Jane has a low amount of situational pressure, a high opportunity to commit fraud and high personal integrity. Write a quadratic function in standard form to represent the data in the table.X=2,4,6,8,10Y=3,1,3,9,18