What is the factored form of the polynomial?x^2 + 2x - 24

Answers

Answer 1

Let's try to factorize this polynomial

[tex]x^2+2x-24=(x+)(x-)[/tex]

in the blank spaces we have to put numbers that multiplied are 24, and substracted are +2. So we have 6 and 4

[tex]x^2+2x-24=(x+6)(x-4)[/tex]

So the factored form of the polynomial is (x+6)(x-4)


Related Questions

Given: m//n
Prove: m2 + m28 = 180

Answers

Interior Angle Theorem asserts that the alternate interior angles that result when two parallel lines are cut by a transversal are equivalent.

If m2 + m28 = 180 then we get ∠2 + ∠8 = 180°

What are the theorems for parallel lines?

Lines that are parallel to one another on a plane do not intersect or meet at any point.  They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines.

Two lines are said to be parallel if a transversal and two matching angles it forms are congruent.

Verification of Parallel Lines

that which contradicts the alternate interior angles theorem.the opposite of the theorem relating comparable angles.the converse of the same-side interior angles hypothesis.alternative exterior angles theorem's opposite.

When two lines are intersected by a transversal and the opposing interior angles line up, the intersected lines are said to be parallel. Two lines are said to be parallel if they are divided by a transversal such that their opposing exterior angles are equivalent.

Therefore,

Given line m is parallel to line m

Interior Angle Theorem asserts that the alternate interior angles that result when two parallel lines are cut by a transversal are equivalent.

Alternate Exterior Angles are congruent if a transversal cuts two parallel lines. When a transversal cuts two parallel lines, the resulting angles are congruent.

Therefore, ∠2 = ∠6

∠2 + ∠4 = 180° ( Sum of the angles on a straight line is 180°)

∠6 + ∠8 = 180° ( Sum of the angles on a straight line is 180°)

∵  ∠2 = ∠6

∴ ∠6 + ∠8 = 180° ⇒ ∠2 + ∠8 = 180°

∠2 + ∠8 = 180° , Hence Proved.

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PLEASE HELP!!!

Simplify the expression to a polynomial in
standard form:
(3x² + x − 5) (2x² + x + 3)

Answers

The standard form is 6x⁴+5x³-2x-15.

Here the term polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as subtraction,  addition, division, and multiplication. the standard form of a polynomial is :

P(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ +aₙ₋₂xⁿ⁻² + ………………. + a₁x + a₀  

Where aₙ, aₙ₋₁, aₙ₋₂, ……………………, a₁, a₀  are the coefficients of xⁿ, xⁿ⁻¹, xⁿ⁻², ….., x and are to a real number.

The polynomial given to us is (3x² + x − 5) (2x² + x + 3)

=3x²(2x² + x + 3) + x (2x² + x + 3) − 5 (2x² + x + 3)

= 6x⁴ + 3x³+9x²+2x³+x²+3x-10x²-5x-15

= 6x⁴+3x³+2x³+9x²+x²-10x²+3x-5x-15

= 6x⁴+5x³-2x-15

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What is the measure

Answers

[tex]m\angle CAB\text{ = 36.87}[/tex]

Here, we want to get the measure of the angle marked A

We are going to use the sides given

The trigonometric ratio that links the adjacent to the hypotenuse is the cosine

The cosine is the ratio of the adjacent to the hypotenuse

Mathematically;

[tex]\begin{gathered} \cos \text{ m}\angle CAB\text{ = }\frac{12}{15} \\ \\ m\angle CAB\text{ = }\cos ^{-1}(\frac{12}{15}) \\ \\ m\angle CAB\text{ = 36.87} \end{gathered}[/tex]

what is the unit price for 10 stickers for $1.50?

Answers

We can find the unit price of a ticket by dividing the number of purchased tickets by the total price, like this:

[tex]\frac{1.5}{10}=0.15[/tex]

Then, the unit price of the tickets is $0.15

Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1)a. -33b. -36c. -63d. -69

Answers

Given:

[tex]a_n=3-6(n-1)[/tex]

Find-: 12th term of the sequence is

Sol:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \end{gathered}[/tex]

Where,

[tex]\begin{gathered} n=\text{ term.} \\ \\ n=12 \end{gathered}[/tex]

Put the value then:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \\ n=12 \\ \\ a_{12}=3-6(12-1) \\ \\ a_{12}=3-6(11) \\ \\ a_{12}=3-(6\times11) \\ \\ a_{12}=3-66 \\ \\ a_{12}=-63 \end{gathered}[/tex]

So 12th term is -63

Answer:

-63

Step-by-step explanation:

Find the perimeter and area of
the figure if each unit on the
graph measures 1 centimeter.
Round answers to the nearest
tenth, if necessary.

A(2, 1)
B(8, 6).
C(10, 1)

Answers

The figure's perimeter and area would be as follows.

Perimeter = 21.19 cm

Area = 25.501 cm²

What is coordinate system?

A Cartesian coordinate system in some kind of a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular lines that are aligned to the point and are both measured in the same length.

According to the given data:

point of the coordinates are as follows:

A(2, 1)

B(8, 6).

C(10, 1)

We know that the formula for finding for the distance is:

d=√((x2 – x1)² + (y2 – y1)²).

For Point AB:

X₁ = 2

Y₁ = 1

X₂ = 8

Y₂ = 6

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((8 – 2)² + (6 – 1)²).

d=√((6)² + (5)²).

d=√(36 + 25).

d=√(61).

AB =7.81

For Point BC:

X₁ = 8

Y₁ = 6

X₂ = 10

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((10 – 8)² + (1 – 6)²).

d=√((2)² + (-5)²).

d=√(4 + 25).

d=√(29).

BC = 5.38

For Point CA:

X₁ = 10

Y₁ = 1

X₂ = 2

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((2 – 10)² + (1 – 1)²).

d=√((-8)² + (0)²).

d=√(64 + 0).

CA = 8

The perimeter of the given figure is:

Sum of all the sides.

AB + BC + CA

7.81 + 5.38 + 8

21.19 cm

Now finding the area of the tringle we use Pythagoras formula:

H² = P² + B²

P² = H²  - B²

P² = (7.81)²  - (5.38)²

P = 9.4837

We know that the area of the triangle is: = 1/2(base * Hight).

                                                                    = 1/2(5.38  * 9.48)

                                                                    = 25.501 cm²

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with a vertex of (-7,-2) and directrix of x=-1, is this a vertical or horizontal parabola?

answer step by step please

Answers

Considering a parabolic equation with a vertex of (-7,-2) and directrix of x = -1. This is a horizontal parabola

What is directrix of a parabola?

The directrix of a parabola is a straight line perpendicular to the axis of symmetry of the parabola.

The directrix does not touch the parabola

How to determine if a parabola is vertical or horizontal using the directrix

A parabolic equation is also called quadratic equation.

Since the directrix is perpendicular to the axis of symmetry of the parabola it means that if:

when the directrix is given at x, the directrix runs in the vertical direction and the parabola is a horizontal parabolawhen the directrix is given at y, the directrix runs in the horizontal direction and the parabola is a vertical parabola

The axis of symmetry says if the parabola is vertical or horizontal, when the axis of symmetry is parallel:

the y direction the parabola is a vertical parabolathe x direction the parabola is a horizontal parabola

In the given problem, the directrix is given at x, the axis of symmetry is along the x direction and hence a horizontal parabola

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Can someone help with 16,17 and 18 ! thank you !

Answers

In questions 16, 17 and 18 we have a right triangle and in the three cases you know the measues for 2 sides, except for hipotenuse.

We can use the following relation to solve the problem:

[tex]tg(x)=\frac{\text{Opposite side}}{Adjacent\text{ side}}[/tex]

16)

[tex]\begin{gathered} tg(x)=\frac{\text{1}7}{7}=2.4285 \\ tg(x)=2.4285 \\ x=tg^{-1}(2.4285) \\ x=68\degree \end{gathered}[/tex]

17)

[tex]\begin{gathered} tg(x)=\frac{8}{10}=0.8 \\ x=tg^{-1}(0.8) \\ x=39\degree \end{gathered}[/tex]

18)

[tex]\begin{gathered} tg(x)=\frac{\text{1}1}{8}=1.375 \\ x=tg^{-1}(1.375) \\ x=54\degree \end{gathered}[/tex]

On average, Adrian's salary is 1.05 times the previous year's salary.If Adrian initially has $52,000 and n denotes the number of years, which recursive equation gives Adrian's annual income, /(7), as a function ofthe year?

Answers

Given:

Adrian initially has $52,000 and n denotes the number of years

Required:

Adrian's annual income, /(7), as a function of

the year?

Explanation:

Initially has $52,000, therefore

[tex]f(1)=52,000\text{ Exclude B,D}[/tex]

The salary is 1.05 times the previous year's salary.

[tex]f(n)=1.05.f(n-1),\text{ for n}\ge2[/tex]

Required answer:

Option D

PLEASE SOLVE THIS IM GIVING 40 POINTS

Answers

The coordinates of the point P lying between AB is found as (7, -2/5).

What is termed as the section formula?The Section formula is used to calculate the coordinates of a point that separates a line segment either internally or externally into a certain ratio. When a point separates a line segment in some ratio, we just use section formula to determine the coordinates of the that point.

For the given question;

The two end coordinates are;

(x₁, y₁) = (8, 0)

(x₂, y₂) = (3, -2)

The ratio of the division is;

AP/PB = 1/4

OR

m:n = 1:4

The Formula for finding the coordinates of P for internally crossing is;

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Put the values;

x = (mx₂ + nx₁)/(m + n)

x = (1×3 + 4×8)/(1 + 4)

x = (3 + 32)/5

x = 7

Now for y coordinates.

y = (my₂ + ny₁)/(m + n)

y = (1×(-2) + 4×0)/(1 + 4)

y = -2/5

Thus, the coordinates of the point P lying between AB is found as (7, -2/5).

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10.Work backwards to write a quadratic equation that will have solutions of x = 3 and x = -7. 11.Work backwards to write a quadratic equation that will have solutions of x = 12 and x = 2. 12.Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4. (Your equation must only have integer coefficients, meaning no fractions or decimals.) 13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0. 14. Write a quadratic equation that cannot be factored.

Answers

Explanation

Question 10

We are asked to write the quadratic eqation that has the solutions of x=3 and x =-7

To do so, we will make use of

[tex]y=x^2-(sum\text{ of roots})x+product\text{ of roots}[/tex]

So we will follow the steps below

[tex]\begin{gathered} Sum\text{ of roots = 3+}-7=-4 \\ product\text{ of roots =3\lparen-7\rparen=-21} \end{gathered}[/tex]

substituting the above, we will have

[tex]\begin{gathered} x^2-(-4)x+(-21)=0 \\ \\ x^2+4x-21=0 \end{gathered}[/tex]

Therefore, the quadratic equation is

[tex]x^2+4x-21[/tex]

What is the value of the Missing angle

Answers

Answer: 120

Step-by-step explanation:

All angles in a triangle add up to 180. The third angle in the triangle is 60. A straight line is always 180, and line TU intersects it. So, subtract 60 from 180 and you get 120.

Answer:

120 degrees

Step-by-step explanation:

70 + 50 = 120 (exterior angle of a triangle)

Which relation is a function?

Answers

let's recall the vertical line test, if a vertical line hits the graph or points twice, then is NOT a function.  Check the picture below.

A very easy way to find out if a graph is a function is to use the vertical line test.

Look at each graph and mentally draw a vertical line that goes through each of its points.

If that line goes through more than one point (2, 3, 4...) then that graph is not a function.

That's because a function, is an equation for which each input (x value) has exactly one output (y value). There cannot be two points of the same x value, with two different y values.

The sum of the interior angles of a polygon with 10 sides can be expressed as 360n. What is the value of n? O 2 04 O 6 08

Answers

The sum of the interior angle of a polygon with 10 sides is equal to 1440°

If it can be expressed as 360n, then n is

[tex]\begin{gathered} 360n=1440 \\ \\ \text{Divide both sides by 360} \\ \frac{360n}{360}=\frac{1440}{360} \\ \frac{\cancel{360}n}{\cancel{360}}=\frac{1440}{360} \\ n=4 \\ \\ \text{Therefore, }n\text{ is equal to }4 \end{gathered}[/tex]

CRITICAL THINKING Find the values of a, b, and c so that the linear system shown has (---1. 2. --3) as its only solution. Explain your reasoning. x + 2y - Bra -r-y +z = b 2x + 3y - 2z=c enter your answer as follows: a=_,b=_,c=__without any spaces. Show Your Work

Answers

1) Let's set the system of linear equations:

x +2y -3z = a

-x -y +z = b

2x +3y -2z =c

2) Since the solution has already been given ( -1,2,-3) all that's left to do, is to plug it into each equation so that we can find a, b and c. Just like this:

x +2y - 3z = a ⇒ (-1) +2(2) -3(-3) = a ∴ a = 4

-x -y +z = b ⇒ -(-1) -(2) +(-3) = b ∴ b = 0

2x +3y -2z =c ⇒ 2(-1) +3(2) -2 (-3)=c ∴ c = -2

3) Hence, a = 4 b = 0 and c = -2

A used car dealership is interested in the age of a used car and the price of the vehicle. The manager collects a simple random sample of vehicles as shown in the table.
The equation of the least-squares regression line is
ŷ = 19.2 – 0.868x, where ŷ is the price of the vehicle (in thousands of dollars) and x is the age (in years). Which shows the residual plot?
ANSWER: A

Answers

Answer:

The Answer is A

Step-by-step explanation: Edge

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 70
grams of an alloy that contains 12% copper with 90 grams of pure copper.
(a) How many grams of copper are in the resulting mixture?
(b) What percentage of the resulting mixture is copper?

Answers

a)There is 160 grams of copper are in the resulting mixture

b) There is 61.5% percentage of the resulting mixture is copper.

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation

From the question:

a) Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

b)  70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

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Jordan looks at the line plot. He says the difference between the most capacity and the least capacity is 1/4 gallon. He says he knows the difference without subtracting. Explain Jordan’s mistake and find actual difference between measurements.

Answers

In a line plot the maximum value is the rightmost mark in the line plot; in this case the maximum capacity is 2 1/2. On the other hand the minimum value is the leftmost mark in the line plot, here the minimum is 1 1/2. Let's calculate the difference between them:

[tex]2\frac{1}{2}-1\frac{1}{2}=1[/tex]

Therefore, the difference between the maxiimum and minimum capacity is 1.

How many graduates in the sample came from University A?

Answers

The number of graduates in the sample that came from University A is:

35 + 90 + 35 = 160 graduates

Jason has 22 strawberry scones and 55 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can​ fill? Explain how you know.

Answers

11 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.

In this question we have been given Jason has 22 raspberry scones and 55 blackberry scones.

We need to find the maximum number of bags Jason can fill with equal number of raspberry scones and blackberry scones.

We will be using Greatest common factor (GCF) for knowing the number of bags.

22 = 2 × 11

and 55 = 5 × 11

So, the greatest common factor of 22 and 55 is 11

GCF(22, 55) = 11

Therefore, 11 is the greatest number of bags that Jason can fill with equal number of raspberry and blackberry scones.

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10) Given that a=4 b=2 and C=-1
find the value of:
1) a - b + c
11) 20

Answers

Answer:

1 is the answer

Step-by-step explanation:

a-b+c       Substitute values into the equation

4-2+(-1)

2+(-1)

2-1

1 Answer

The value of: 1) a - b + c is, 1 is the solution.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

a=4 b=2 and C=-1

now,

a-b+c      

Substitute values into the equation

we get,

4-2+(-1)

=2+(-1)

=2-1

=1  (Answer)

Hence, The value of: 1) a - b + c is, 1 is the solution.

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Hey can someone help me for q2 and onwards with step by step working out on paper so that I can understand them better. Thank u!!!

Answers

Answer:

f

Step-by-step explanation:

A cooking for the nursing home is preparing 100 yeast rolls for dinner the dry ingredients needed include 14 1/8 cups of flour 6 3/8 cups of sugar and 3/8 cups of salt how many cups of dry ingredients are in this recipe

Answers

Answer:[tex]20\frac{7}{8}cups\text{ or 19}\frac{15}{8}\text{of dry ingredients}[/tex]

Explanations:

Given the following ingredients

Cups of flour = 14 1/8 = 113/8 cups

Cups of sugar = 6 3/8 cups = 51/8 cups

Cups of salts = 3/8 cups

Calculate the total cups of dry ingredients

[tex]Total\text{ cups}=\frac{113}{8}+\frac{51}{8}+\frac{3}{8}[/tex]

Find the LCM

[tex]\begin{gathered} Total\text{ cups}=\frac{113+51+3}{8} \\ Total\text{ cups}=\frac{167}{8} \\ Total\text{ cups}=20\frac{7}{8}cups \\ Total\text{ cups}=19+1\frac{7}{8} \\ Total\text{ cups}=19+\frac{15}{8} \\ Total\text{ cups}=19\frac{15}{8}cups \end{gathered}[/tex]

Therefore there are 19 15/8 cups of dry ingredients in this recipe

what is the answer of this problem ? help me to find

Answers

Given:

Total invested amount = $9000

One account = 5%

Another account = 6%

Find-:

Invested amount of each equation

Explanation-:

Let in 5% account invested amount is x

then amount in 6% account is (9000-x)

Then,

[tex]5\%\text{ of }x+6\%\text{ of }(9000-x)=510[/tex]

Then the value of "x" is:

[tex]\begin{gathered} \frac{5}{100}\times x+\frac{6}{100}\times(9000-x)=510 \\ \\ 0.05x+0.06(9000-x)=510 \\ \\ 0.05x+(0.06\times9000)-0.06x=510 \end{gathered}[/tex]

The "x" is:

[tex]\begin{gathered} 0.05x-0.06x+540=510 \\ \\ -0.01x=510-540 \\ \\ -0.01x=-30 \\ \\ x=\frac{-30}{-0.01} \\ \\ x=3000 \end{gathered}[/tex]

The value of x is 3000 the mean amount in 5% invested amount is 3000.

6% invested amount is:

[tex]\begin{gathered} =9000-3000 \\ \\ =6000 \end{gathered}[/tex]

So each account invested amount is:

[tex]\begin{gathered} 5\%\rightarrow3000 \\ \\ 6\%\rightarrow6000 \end{gathered}[/tex]

A pancake stall sells sweet pancakes and savoury pancakes. The savoury pancakes can have three toppings (eggs, ham, tomato) which may be used in any combination. The sweet ones come with orange, lemon or strawberry jam with either ice cream or fresh cream. How many combinations does the stall sell?

Answers

The pancakes stall sells total 12 combinations of pancakes.

What is Combination?

Combinations are mathematical operations that count the number of potential permutations for a set of elements when the order of the selection is irrelevant.

According to the given data:

Savory pancakes can have 3 toppings in any combination.

Therefore, total number of savory pancake combinations = 3 x 2 x 1 = 6

For sweet pancakes jams can either have ice cream or fresh cream.

Therefore combinations with ice cream = 3

And combinations with fresh cream = 3

Hence total combinations for sweet pancakes = 3 + 3 = 6

Now, total pancakes combination = 6 + 6 = 12

So, the stall sells 12 combinations of pancakes.

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Graph the inequality on the number line.
3x−10>5

Answers

The solution of 3x−10>5 inequality is x>5 and is graphed with the image attached.

what is inequality?

Inequality is a declaration of an exact relation between two numerals or algebra expressions, such as greater at, above to, below than, or lesser than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations.

Given inequality,

3x−10>5

3x>5+10

3x>15

x> (15/3)

x>5

The solution of 3x−10>5 inequality is x>5 and is graphed with the image attached.

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18 is how many times more then 6

Answers

Answer: 3 times more

Step-by-step explanation:

P(t) models the number of people on a beach, t hours past midnight on a certain day.What does P(10) = N mean?Group of answer choicesThere were an equal number of people on the beach at 10:00 AM and at N hours past midnight.There were N people on the beach at 10:00 AM.There were 10 people on the beach at N hours past midnight.

Answers

Since P(t) models the number of people on a beach, t hours past midnight, hence P(10)=N means that there were N people on the beach at 10 am

Week 14 (12/7 - 12/11) - Homework Packet 3.13 - 4.1 3.13- Homework (due Tues. 12/8) Part I: Fill in the blank representation for each inequality. Words Algebra Graph 1) ** xis greater than or equal to 7 and xis less than or equal to 9 2) 3 < x or -2> X 3) 0 1 2 4 rah the following inequalities in the

Answers

1.

Algebra:

[tex]7\leq x\leq9[/tex]

Graph:

2.

Words:

x is greater than 3 or x is less than minus 2

Graph:

3.

Words:

x is greater than minus 1 and x is less than 2.

Algebra:

[tex]-1

A group of tourists visiting a skyscraper boards an elevator headed up from the ground floor. The elevator moves at a speed of 200 meters per minute. At the same time, a second group of tourists boards an adjacent elevator which is on the top floor and is headed down. This one is traveling 250 meters per minute. If the elevators were originally separated by a distance of 450 meters, how long will it take for them to pass each other

Answers

Answer: 1 minute

Step-by-step explanation:

First elevator's rate is 200 meters per second

Second's rate is 250

In one second, they would travel 450 meters

Answer:

Step-by-step explanation:  

Other Questions
The U.S. Constitution and Bill of Rights do not explicitly mention which right? right to a juryright to privacyfreedom of religionright to a speedy and public trial 7.Ms. Maglione wants to join a gym. The gym wants to charge Ms. Maglione a onetime membership fee for this year of $125 that will cover maintenance andupkeep of the gym. The cost per month to be a member will be $15. Whichequation best models this situation? Hunter uses a game to represent real-life conflict between countries. Using one ite help understand another, non-related, item is an example of aA metaphorB simileC hyperboleD personification If two out of every fifteen trick or treaters that came to your house last halloween were dressed as spider-man, what proportion of trick or treaters were not dressed as spider-man? Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)h(x) = x13 (x 12) Write a four-paragraph argument for or against the usefulness of the feudalist structure. Your assigned audience is a modern business leader. You may choose to create a slide show or other piece of media to accompany your paper. For your research, choose one of the following countries:FranceEnglandGermanyMake a claim as to whether feudalism helped or hindered your Western European country. Offer the reader strong points supporting your answer.Address the counter claim to your argument. Offer the reader the specific facts from your research that shows the flaws within the counter claim.As support for either your claim or counter claim, include how feudalism finished its course in the country you selected.Include the approximate years when feudalism began and ended in that country.In addition, explain whether the national leader at the time of feudalism played a part in encouraging or harming feudalism within their country. 12+212+25,432*5,000+ the marginal product of labor in the production of computer chips is 50 chips per hour. the marginal rate of technical substitution of hours of labor for hours of machine capital is 1/4. what is the marginal product of capital? Write the phrase "six more than nine times n is twenty" as an equation: (b)A student filters a mixture.Figure 1 shows the apparatus.Beaker.MixtureFigure 1FFlaskFilter paper coneSuggest one improvement to the apparatus.(1) In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree measure of angle Q, the central angle of the shaded sect Las condiciones en el Tolima Consult the following weather report for Tolima, Colombia, and answer the questions in complete sentences.CONDICIONES ACTUALES: EL TOLIMA, COLOMBIATemperatura 77 F (25 C)Humedad 84%Viento 0-6 mphCondiciones NeblinaVisibilidad 6 millas1. Qu tiempo hace hoy en El Tolima? 2. Hace mucho viento hoy en El Tolima? 3. Es un buen da para esquiar en la nieve? Por qu s o por qu no? create a recommendation a tu, mejor, amigo (recommend a complete diet)- recommend a complete diet (breakfast and lunch) For which of the following reasons did absolutism become a widely-practiced political theory in the 17th century? Select all that apply.a desire for order after the chaos and war of the previous centurypublic distrust of the constitutional monarchy in Englandpublic distrust of the republican governance in the Dutch Republicgrowing public concern about brigands and criminals that required a strong centralized government to controlthe desire of the lower classes to be responsible directly to the king rather than to local lords Find d93 /dx93 *(cos x)by taking the first few derivatives and observing the pattern that occurs. suppose a state passes a minimum wage law that increases the minimum wage from $5/hour to $20/hour. the equilibrium wage prior to the minimum wage hike was $10/hour. quizlet How is heartworm transmitted, diagnosed, treated and prevented? A circle has a diameter of 24 centimeters. Central angle FOG is drawn, determining an arc FG. The radian measure of angle FOG is 3/4 What is the length of arc FG in centimeters?16 cm9 cm32 cm18 cm HELP ASAP!Were the colonists being too stubborn and uncompromising about paying taxes in the 13 Colonies? Explain your ideas. If a solution containing 24.68 g of mercury(II) nitrate is allowed to react completely with a solution containing 7.410 g of sodium dichromate, How many grams of the reactant in excess will remain after the reaction?