Divide $180 in the ratio of 2 : 3 : 4

Answers

Answer 1

By dividing $180 in the ratio of 2:3:4, we get 40,60 and 80

Solution

Find the sum of the ratios

2 + 3 + 4 = 9

Divide the amount from the sum of the ratios

180 ÷ 9 = 20

Hence, we get the quotient of 20.

Multiply the quotient by the ratios

20 × 2 = 40

20 × 3 = 60

20 × 4 = 80

Hence, by dividing $180 in the ratio of 2:3:4, we get 40,60 and 80

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Related Questions

100 brainly!!! Which of the following functions is graphed below?

Answers

Answer: the answer is B

Using Cramer's Rule, the solution to the system of equations
6x - 5y = -4
-7x + 3y = -1
can be written in the form
( Dx , Dy )
( D D )
What is the value of D?​

Answers

Answer's

Step-by-step explant

How do I solve y-1=3(x-4)

Answers

Step-by-step explanation:

open the bracket

y - 1 = 3x - 12

add 1 to both sides

y = 3x - 11

I think that should be it

Dylan enjoys ramen noodles and music downloads. His monthly budget for these two items is 15 dollars. If the price of a package of ramen noodles is $1.48 and the price of a music download is $1.15, what is Dylan's opportunity cost of a music download? (Round your answer to the nearest tenth. For example: 1.4).

Answers

Data:

• Monthly budget: $15

,

• Price of a package of ramen: $1.48

,

• Price of a music download: $1.15

Procedure:

[tex]\frac{15}{1.48}\approx10.1[/tex]

Answer: 10.1

Part AType an equation to represent the cost of the topsoil.Part BHow does the cost of the topsoil compare to the cost of the mulch?

Answers

Step 1

Write the equation of a line in slope point form

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Where;

[tex]\begin{gathered} y_2=\text{ 60} \\ x_2=2 \\ y_1=\text{ 30} \\ x_1=\text{ 1} \end{gathered}[/tex]

Step 2

Find the equation to represent the cost of the topsoil.

[tex]y-30=\frac{60-30}{2-1}(x-1)[/tex][tex]\begin{gathered} y-30\text{ = }\frac{30}{1}(x-1) \\ y-30=30x-30 \\ y=30x-30+30 \\ y=30x \end{gathered}[/tex]

The equation that represents the cost of the topsoil is

y=30x

Step 3

Find how the cost of the topsoil compares to the cost of the mulch.

[tex]\begin{gathered} \text{The equation for the cost of the mulch y, in dollars is} \\ y=25x \\ \text{for x cubic yards of mulch} \\ \text{The equation for the cost of topsoil, y in dollars is} \\ y=30x \\ for\text{ x cubic yards of topsoil} \end{gathered}[/tex][tex]undefined[/tex]

Plot the ordered pair and state which quadrant or on which axis the point lies

Answers

Answer:

Explanation:

Given the ordered pair (-2, 4 1/2), where x = -2 and y = 4 1/2 = 9/2 = 4.5. Plotting this point, we'll have;

Note that quadrants are numbered in an anti-clockwise manner with the top right portion of the graph as Quadrant I. Looking at the plotted point, we can see that it lies in Quadrant II.

Listen to this on the day she was born, a baby leopard had 9 spots. Each day 4 more spots appeared. After 5 days, how many spots did the baby have?

Answers

Answer:29

Step-by-step explanation:

9+4 spots times five days

28-6x=2x-84
Prove: x = 14

Answers

28-6x = 2x -84

Add 6x to both sides:

28 = 8x -84

Add 84 to both sides

112 = 8x

Divide both sides by 8

X = 112/8

X = 14

What is the polar form of -9-91√3 ?
09 (cos()+ i sin())
O 9 (cos (4T) + i sin (4))
O 18 (cos ()+sin())
O 18 (cos (4) + i sin (4T))
3

Answers

The polar form of the rectangular form - 9 - i 9√3 is 18 · [cos (4π / 3) + i sin (4π / 3)]. (Correct choice: A)

What is the polar form of a complex number in rectangular number?

Herein we find a complex number in rectangular form, that is, a complex number of the form a + i b, whose polar form has to be found. Complex numbers in polar form are defined by the following expression:

z = r · (cos θ + i sin θ)

r = √(a² + b²)

θ = tan⁻¹ (b / a)

Where:

r - Norm of the complex number.θ - Direction of the complex number, in radians.a, b - Components of the complex number in rectangular form.

If we know that a = - 9 and b = - 9√3, then the complex number in polar form is:

r = √[(- 9)² + (- 9√3)²]

r = 18

θ = tan⁻¹ √3

θ = 4π / 3

The polar form is 18 · [cos (4π / 3) + i sin (4π / 3)].

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On average, people breath 10,000 times per night with a standard deviation of 1400. You study 50 people and record how many breaths they take per night. What is the probability that the average of all participants in the study was fewer than 10,200 breaths each night?I want answer with step by step.

Answers

ANSWER

[tex]\begin{equation*} 0.84375 \end{equation*}[/tex]

EXPLANATION

We want to find the probability that the average of all participants in the study was fewer than 10,200 breaths each night.

To do this, first, we have to find the z-score corresponding to the sample mean:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

where x = sample mean

μ = population mean

σ = standard deviation

n = sample size

Therefore, the z-score is:

[tex]\begin{gathered} z=\frac{10200-10000}{\frac{1400}{\sqrt{50}}}=\frac{10200-10000}{\frac{1400}{7.0711}} \\ z=\frac{200}{197.99} \\ z=1.01 \end{gathered}[/tex]

Now, using the standard normal table, we can find P(z < 1.01).

Therefore, the probabilityis:

[tex]P(z<1.01)=0.84375[/tex]

That is the answer.

The solution set of which of the following equations is the set of real numbers that are 3 units from -2?
A |x+2|=3
B|x-2|=3
C |x+3|=-2
D |x-3|=2
E |x+3|=2

Answers

The solution set of real numbers that are 3 units from -2 is :

|x +2| = 3

What is a solution set?Any value of a variable that makes the specified equation true is referred to as a solution. A solution set is the collection of all variables that satisfy the equation. To find the solution set of an equation with a given domain, first plug each domain value into the equation to obtain the respective range values. Make ordered pairs out of these values and write them down as a set. That set is our solution.

Here

Function : |x +2| = 3

since ,

|x +2| = 3 => x + 2 = 3 ∨ x + 2 = -3

x = 3 - 2 ∨ x = -3 - 2

x = 1 ∨ x = -5

| - 2 - 1 | = | -3| = 3

| -2 -(-5) | = | -2 + 5 | = 3.

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Triangle ABC is translated T(x,y) --> (x + 2, y - 3). What are the coordinates of the image of triangle ABC after this translation?

Answers

The coordinates of the image of triangle ABC would be A (-1, -1), B (3, 2), and C (4, -6)  after translation, and if the original coordinates are A(-3,2) B(1,5) C(2,-3).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Let assume A(-3,2) B(1,5) and C (2,-3) are original coordinates

The following translation is being used: (x, y) ⇒ (x + 2, y - 3)

First, take your x-coordinates and add them by two because it is the translation utilized to solve for your x-coordinate.

You would receive the following for yours x's: A (-1, y ) B (3, y) C (4, y)

Next, remove three from each of your y-coordinates because it is the translation being utilized to solve for your y-coordinate.

You would receive the following for your y's: A (x, -1) B (x, 2) C (x, -6)

Finally, you would take each one and put it together, or piece it together.

Hence, the coordinates of the image of triangle ABC after translation would be A (-1, -1), B (3, 2), and C (4, -6).

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Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 20 chores, and $12 in allowance the week he did 8 chores. Write an equation for his allowance in slope-intercept form.

Answers

The equation of his allowance in slope-intercept form is y = 0.5x + 8

He received $18 in allowance the week he did 20 chores.

He received $12 in allowance the week he did 8 chores.

The ordered pairs will be (8,12) and (20,18)

The slope intercept form is

y = mx + b

Where m is the slope

b is the y intercept

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

m = (18-12)/(20-8)

m = 6/12

= $0.5 per chores

Now we have to find b,

Substitute the value of any ordered pair in the slope intercept form

12 = 0.5×8+b

12 = 4+b

b = 12-4

b = 8

Hence, the equation of his allowance in slope-intercept form is y = 0.5x + 8

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A rectangular gardan is surrounded by a walk of uniform width. The area of the garden is 200 square yards. If the dimensions of the garden plus the walkway are 18 yards by 26 yards, find the dimensions of the garden.

***NOTE*** This is a Quadratic Word Problem, so please use the Quadratic Method when solving and show all steps!!

Answers

Answer: [tex]6\sqrt{6}+4 \times 6\sqrt{6}-4[/tex] yards

Step-by-step explanation:

Let the length of the walkway be x yards. Then,

[tex](18-2x)(26-2x)=200\\\\4x^2 -88x+468=200\\\\4x^2-88x+268=0\\\\x^2 -22x+77=0\\\\x=\frac{22 \pm \sqrt{22^2 -4(77)}}{2}\\\\=11 \pm 3\sqrt{6}[/tex]

However, [tex]x=11+3\sqrt{6} > 18[/tex], which is illogical, so we take [tex]x=11-3\sqrt{6}[/tex].

So,

[tex]18-2x=18-2(11-3\sqrt{6})=6\sqrt{6}-4\\\\26-2x=26-2(11-3\sqrt{6})=4+6\sqrt{6}[/tex]

Evaluate each expression using the values given in the table.

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question,

We have that:

[tex]\begin{gathered} a)\text{ f (1) =2 and g(1) =0} \\ We\text{ n}eed\text{ evaluate :} \\ (fog\text{ ) (1) = f(g(1)) = f (0) =-1} \\ \text{Then, (fog)(1) = - 1} \end{gathered}[/tex][tex]undefined[/tex]

The values of each composite function are:

a) -1

b) -1

c) 2

d) 0

e) 2

f) -4

We have,

These are composite functions.

It is written as:

(f o g) (x) = f (g(x))

Now,

From the table, the values for each function f and g at specific values x are taken.

a.

(f o g)(1)

f(g(1)) = f(0) = -1

b.

(f o g) (-1)

f(g(-1)) = f(0) = -1

c.

(g o f) (-1)

g(f(-1)) = g(-2) = 2

d.

(g o f) (0)

g(f(0)) = g(-1) = 0

e.

(g o g) (-2)

g(g(-2)) = g(2) = 2

f.

(f o f) (-1)

f(f(-1)) = f(-2) = -4

Thus,

The values of each composite function are:

-1, -1, 2, 0, 2, and -4.

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In ▲ABC, side AC is extended through C to D. If m<dcb=50 which is the longest side of triangle abc?

Answers

Answer:

AB

Step-by-step explanation:

the angles DCB and ACB are supplementary angles (together 180°).

simply because the sum of all angles around a single point on one side of a line is suggests 180° (it represents a half-circle).

so, the inner angle ACB is

ACB = 180 - 50 = 130°

because the sum of all angles in a triangle is also always 180°, there are only 50° left for the other 2 angles.

so, the inner angle at C is clearly the largest angle in the triangle ABC.

the larger an angle, the longer the opposing side.

the largest angle has the longest opposing side in the triangle.

the opposing side of the inner angle C is AB. and that is therefore the longest side in the triangle ABC.

You are planning to place a bet on your local sports team, the red sparrows. the sparrow's have a past record of 4-5 (4 wins, 5 losses) at this venue. however you also know that their record is 2-7 in games where it rains and it has rained at 60% of their games this season. 4 if the red sparrows win their game what is the probability that it rained at that game?

Answers

The probability that it rained at that game is 0.49.

Probability is the the ratio of a particular event with total number of event. It tells the possibility that an event can occur.

Probability that it rains P(R) = 0.60

probability that it won't rain P(R') = 1-0.60

= 0.4

Red sparrows have a past record of 4 wins and 5 loses when it does not rain, that is

P( winning/R') = 4/9                 (win% = 4/total that is 5+4 which is 9)

P( lose/R') = 5/9                       (lose % = 5/total)

When it rain the past record is 2 wins and 7 loses

P( win/R ) = 2/9

P( lose/R ) = 7/9

P (win) = P(R)*P(win/R) + P(R')*P(win/R')

= 4/9*0.4 + 2/9*0.6

If red sparrows win, then the probability that it rained at game

P (R/win) = P ( R η win) / P (win)

= 0.49

Therefore, we can conclude that the the probability that it rained at that game is 0.49.

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-0.01a^4*(-10a^5)^3[tex]-0.01a^4*(-10a^5)^3[/tex]

Answers

It seems there is some missing info on this question. However, if you are simplifying, then the simplified version of the given expression would be...

[tex]10a^1^9[/tex]

Hope this helps!

If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved. What am I?

Answers

Answer: The moon

Step-by-step explanation:

The cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

What is the volume of a cone?

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

The number of faces of a regular cone is one, which we may partition vertically into two halves.

This means one base face and lateral face

Now, the number of faces in one half equals the number of faces in the original form.

This meets the conditions outlined in the question.

So, the cone is a solid form.

Thus, the cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

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pls help due nowwwwwwwwwwwwwww

Answers

Answer:

A

Step-by-step explanation:

once tearra started buying games her money decreased by $35.50

Which of the following is the correct expansion of the binomial (x + y)6?
A.
x6 + 6x5y + 15x4y2 + 20x³y3 + 15x²y4 + 6xy5+y6
B. x6 + 155y + 6x4y2 + 20x³y3 + 6x²y + 15xy5+y6
C. x6 + 6x55+ 15x4y4 + 20x³y3 + 15x²y² + 6xy¹+y6
D. x6 + 6x5y + 20x4y² + 15x³y3 + 20x²y4 + 6xy5+y6

Answers

Option a is correct using algebric formulas.

What is  (x + y)³ and  (x + y + z)² formula?

(x + y)³ = x³ + y³ +3xy( x + y )

(x + y + z)² = x² + y² + z² + 2( xy + yz + zx )

So breaking it into

(( x + y )³)² = (x³ + y³ +3xy( x + y ))²

(x³ + y³ +3xy( x + y ))² = x^6 + y^6 + 9x²y²(x² + y² + 2xy) + 2( x³y³ + 3xy^4( x + y ) + 3x^4y( x + y) )

x^6 + y^6 + 9x²y²(x² + y² + 2xy) + 2( x³y³ + 3xy^4( x + y ) + 3x^4y( x + y) )

So after rearranging the terms

we get  (x + y)^6 as

x6 + 6x5y + 15x4y2 + 20x³y3 + 15x²y4 + 6xy5+y6

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For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1

Answers

The equations with a solution of 8 are:

x+2=10, x -4 = 4, 3x = 24, and x/8 =1

This is further explained below.

What are equations?

An equation is a formula that, in mathematics, expresses the equivalence of two expressions by linking them with the equals symbol =. In other words, an equation is a mathematical expression.

An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra.

For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."

Now we consider all equations given

1)

x+6 = 2

x = 2-6

x = -4

2)

Considering question 2 equation to see if it equals 8

x+2=10

x = 10-2

x = 8

3)

Considering question 3 equation to see if it equals 8

x -4 = 4

x = 4+4

x = 8

4)

Considering question 4 equation to see if it equals 8

x-2=10

x = 10+2

x = 12

5)

Considering question 5 equation to see if it equals 8

2x = 4

x = 2

6)

Considering question 6 equation to see if it equals 8

3x = 24

x = 8

7)

Considering question 7 equation to see if it equals 8

x/2 = 16

x = 32

8)

Considering question 8 equation to see if it equals 8

x/8 =1

x = 8

In conclusion, only equations:

x+2=10, x -4 = 4, 3x = 24, and x/8 =1 have the solution of 8

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3. Use your answer from #2 for x, and find the measure of both angles. Select 2 answers.
A
B
116
61°
64°
119⁰
2x-15
3x + 5

Answers

None of the available possibilities is an equivalent expression.

Supplemental methods add up to 180 degrees, just like all other options.

An equivalent expression is what?

    If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).

  No one in the available possibilities satisfies the requirement of a comparable expression.

2x - 15 + 3x + 15 = 180

2x - 10 + 3x = 180

5x - 10  = 180

5x - 10 + 10 = 180 +10

add the numbers

5x = 190

5x /5 = 190 5

x = 38

As a result, none of the possibilities shown are identical expressions.

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Use statement and reason.

Answers

Answer:

Step-by-step explanation:

Make r the subject of m=√6a+r/5r

Answers

Answer:

r=√6a/5m-1

Step-by-step explanation:

m=√6a+r/5r

cross multiply

5mr=√6a+r

5mr-r=√6a

factorise

r(5m-1)=√6a

divide both sides by the coefficient of r

r=√6a/5m-1

hope it helps

please mark brainliest

Answer:

hope it helps u

MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER

Rule for Input/output table Input values: 1, 2, 3, 4, n Output values: -4,-2,0,2

Answers

Answer:

[tex]a_{n}[/tex] = 2n - 6

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 2 - (- 4) = 0 - (- 2) = 2 - 0 = 2

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 4 and d = 2 , then

[tex]a_{n}[/tex] = - 4 + 2(n - 1) = - 4 + 2n - 2 = 2n - 6

the rule is then 2n - 6

Given the points:
(5,2) and (3,-4)
Select the THREE equations that represent the line that passes
through them.

Answers

The equations of the line according to the given points will be:

3x - y - 13 = 06x - 2y - 26 = 012x - 4y - 52 = 0

We know that,

The equation of a line passing through two points is:

( y -y 1) / ( x - x1 ) = ( y2 - y1 ) / ( x2 - x1 )  

(y - 2) / (x - 5) = (-4 - 2) / (3 - 5)

=> (y - 2) / (x - 5) = -6 / -2

=> y - 2 = 3 (x - 5)

=> 3x - 15 - y + 2 = 0

=> 3x - y - 13 = 0

Some more equations of the same line can be calculated just by multiplying the coefficients of x and y so that they remain proportional to the previous equation.

For Example,

6x - 2y - 26 = 012x - 4y - 52 = 0

Here we can see that the coefficients of x and y and also the constant term are proportional to every equation compared with each other.

These lines are also called coincident lines.

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Adam plans to choose a video game from a section of the store where everything is 75% off. He writes the expression d−0.75d to find the sale price of the game if the original price is d dollars.

Rena correctly writes another expression, 0.25d, that will also find the sale price of the game if the original price is d dollars.

Drag each description to explain each part of both expressions.

Answers

Both Adam and Rena re both correct regarding the expression.

What is an expression?

An expression simply means an illustration that can be used to represent a scenario or situation.

From the information, Adam writes the expression d−0.75d to find the sale price of the game if the original price is d dollars.

Rena correctly writes another expression, 0.25d, that will also find the sale price of the game if the original price is d dollars.

In this case, they are both correct. This can be illustrated as:

= 1 - 0.75d

= 0.25d

Note that the information was answered based on the information given.

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Write 100 minutes in hours and minutes.

Answers

Answer:

1 hour and 40 minutes

Step-by-step explanation:

60 minutes in an hour

we have 100 minutes

100 - 60 = 40

in 100 minutes we already have 1 hour

now we have 40 minutes left

can 40 minutes make another 60?

No.

so 100 minutes make

1 hour and 40 minutes

You pick a card at random without putting the 1st card back you pick a second card at random what is the probability of picking an even number and then picking an even number

Answers

We will have the following:

First, we can see that the probability of picking an even number at first is:

[tex]P_1=\frac{3}{6}\Rightarrow P_1=\frac{1}{2}[/tex]

And then, the probability of picking another even card without replacing the previous one will be:

[tex]P_2=\frac{2}{5}[/tex]

Now, the probability of this happening one after the other will be:

[tex]\begin{gathered} P_3=P_1P_2\Rightarrow P_3=\frac{1}{2}\ast\frac{2}{5} \\ \\ \Rightarrow P_3=0.2 \end{gathered}[/tex]

So, the probability will be of 20%.

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Course ListScore! OU TUUTUTZu anisweredQuestion 11In A XYZ, the sum of the measures of ZX and Y are 55. What is the measure of ZZ?ZZ=? Analyze the stages of Siddharthas journey toward enlightenment. Define three stages and discuss what he learns at each stage that brings him closer to wisdom and what aspects of his previous self he loses. Write at least five paragraphs. hugh jackson is thinking about buying an investment. the investment option that he is thinking about buying is an investment where investors pool their money. one of the key features is that it is managed by professional managers. what investment is hugh thinking about purchasing? multiple choice common stock preferred stock corporate bond real estate mutual fund if you take a square tlc plate and develop a compound mixture with one solvent mixture, dry the plate, and later develop it with a different solvent mixture; you can separate one set of compounds well and then separate another set of compounds well. in which directions should you develop the tlc plate with the two different solvent mixtures? this technique is often used to separate molecules of biological interest. There are 152 students at a small school and 45 of them are freshmen. What fraction of the students are freshmen? Use "/" for thefraction bar. Do not use spaces in your answer. suppose that pandastan has a gdp of $5 billion and a population of 2 million, while tigerstan has a gdp of $3 billion and a population of 1 million. which country has a higher gdp per capita, and what is that value? What could be the third quantum number for one of the electrons in the 4penergy sublevel of bromine?A. m = -1B. m = 5C. m = +D. m = 4 is the number 6.35 a whole number and a integer Question 19Which of the following business trends affects HR management:O Costs of business going downO GlobalizationO Lack of new technologyO No restructuring help i really need help FORENSIC SCIENCE - EASYIf you were investigating a crime and received a genetics report, which would be the most useful characteristic in helping identify the suspect? Blood type Brown hair Blonde hair Blue eyes use the quadratic formula to solve the equation2x^2-1=11xthe solution(s) are/is x=? -1514,2 30r2y3 + 45ryjent of517is 3(x^3)y + 6x(y^2) - 3.1. Whe3(x^3)y - 6x(y^2) +9Res-3(x^3)y + 6x(y^2) - 33(x^2)y + 5x(y^2) - 93(x^3)y + 5x(y^2) + 3 Galileo _____.1.invented the first telescope2.was the first scientist to use a telescope for astronomy3.was a spectacle maker4.is considered the "Father of Modern Chemistry" 3. For the polynomial: ()=2(+19)3(14)(+3)2, do the following:A. Create a table of values that have the x-intercepts of p(x) in the first column and their multiplicities in the second column.B. State the degree and end behavior for p(x). C. Hand sketch a rough graph of p(x). You should have the x-int labeled, but you do not need tick marks for all numbers in between. PLEASE HELPWhich grammatical mood makes a request or gives a command?A) subjunctiveB) abrasiveC) indicativeD) imperative The first term of a pattern is 12. The pattern follows the rule "multiply by 4." What are the next three terms? 1. Why did Lincoln want a moderate Reconstruction plan? 10 in.What is the volume of atriangular pyramid that is10 in. tall and has a basearea of 9 square in.?9cubic inchesVolume of a pyramid: V = {Bh (Where "B" is the area of the pyramid's base.)= thanks in advance for the help