Which expression is equivalent to ^3 square root 343 x^9 v^12 z^6?

Which Expression Is Equivalent To ^3 Square Root 343 X^9 V^12 Z^6?

Answers

Answer 1

[tex]\sqrt[3]{343x^9v^{12}z^6}=\sqrt[3]{343}\cdot\sqrt[3]{x^{3\cdot3}}\cdot\sqrt[3]{v^{4\cdot3}}\cdot\sqrt[3]{z^{2\cdot3}}\\\\=\sqrt[3]{7^3}\cdot\sqrt[3]{(x^3)^3}\cdot\sqrt[3]{(v^4)^3}\cdot\sqrt[3]{(z^2)^3}=7x^3v^4z^2\\\\Used:\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\(a^n)^m=a^{nm}\\\\\sqrt[n]{a^n}=a[/tex]

Answer 2
Final answer:

The cube root of 343 is 7, x^9 is x^3, v^12 is v^4, and z^6 is z^2. So the equivalent expression to the cube root of [tex]343x^9v^12z^6[/tex] is 7x^3v^4z^2.

Explanation:

The expression is asking for the cube root of each term. The cube root of 343 is 7 because [tex]7*7*7[/tex]equals to 343. The cube root of x^9 is x^3 because 3*3 equals to 9. Similarly, cube root of v^12 is v^4 because 4*3 equals 12, and cube root of z^6 is z^2 because 2*3 equals 6.

So the equivalent expression is [tex]7x^3v^4z^2.[/tex]

Remember, when dealing with cubic roots and exponential terms, we divide the exponent by 3.

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Related Questions

Set builder notation of {0, 00, 10, 000, 010, 100, 110}?

Answers

Answer:

{0, 10, 100, 110} = {x : x = 10(n + k), n = 0, 10 and k = 0, 1}

Step-by-step explanation:

We have been given the set {0, 00, 10, 000, 010, 100, 110} which is in the Roster form.

Since repetition is not allowed in a set, let's rewrite the given set as:

{0, 10, 100, 110}

Note that the elements of the set are binary.

Now, let's write the set builder form of the above set as below:

{0, 10, 100, 110} = {x : x is an even binary number and its decimal equivalent is less than 7}


What is the value of x? 34x+5−12x=3

Answers

The value of x is [tex]-1/11[/tex]

To find the value of xin the equation [tex]34x-12x+5=3[/tex], follow these steps:

1. Combine like terms on the left-hand side:

[tex]34x-12x+5=3[/tex]

2. Simplify the equation:

[tex]22x+5=322x + 5 = 322x+5=3[/tex]

3. Subtract 5 from both sides to isolate the term with xxx:

[tex]22x=3-522x = 3 \\- 522x=3-5 22x\\=-222x = -222x=−2[/tex]

4. Divide both sides by 22 to solve for xxx:

[tex]x=−222x \\= \frac{-2}{22}x=22-2 x\\=-111x =\frac{-1}{11}x=\\-1/11[/tex]

So, the value of x is [tex]-1/11[/tex]

Solve for s.23s+56s=21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.

Answers

23s+56s=21

79s=21

79/79    21/79

s=0.265822785

A 6 month old sheltie puppy gets 2.5 cups of food twice per day. Select the equation that describes how many cups of food she eats in terms of days. A) y=2.5 B)
y=2.5x
C) y=x+5
D) y=5x
WILL GIVE LOTS OF POINTS

Answers

Answer:

y = 5x

D is the correct option.

Step-by-step explanation:

We have been given that sheltie puppy gets 2.5 cups of food twice per day.

It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.

The equation will be linear.

Let y be the number of cups of food she eat and x is the number of days.

Hence, we have

Slope = 5

And the equation that represents the number of cups of food she eats is given by

y = 5x

D is the correct option.

Answer:

D) y = 5x

Step-by-step explanation:

D is the correct answer.

Hope this helps!

AnimeBrainly PleaseHelp!

1. Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom's best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.
(a) Write an expression to represent the membership cost of Platinum Gym for x months.
(b) Write an expression to represent the membership cost of Super Fit for x months.
(c) If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.
(d) Is there a membership period for which Tom and Edward would pay the same amount? If so, how long would this membership be and how much would it cost? Show your work.
(e) Which gym membership is a better deal? Explain why.

Answers

1.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

Super Fit charges a one-time registration fee of $150, and membership is $10 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

(b) Write an expression to represent the membership cost of Super Fit for x months

Let x = months

10x + 150 is your expression

(c) You are solving for both one month and twelve months of membership.

One month: Plug in 1 for x.

20(1) + 60 = 20 + 60 = 80

10(1) + 150 = 10 + 150 = 160

Platinum Gym is cheaper overall for one month by $80

One year: There are twelve months in a year. Plug in 12 for x.

20(12) + 60 = 240 + 60 = 300

10(12) + 150 = 120 + 150 = 270

Super Fit is cheaper than Platinum Gym overall for one year by $30

(d) Set the two expression equal to each other.

20x + 60 = 10x + 150

Isolate the x. Subtract 10x and 60 from both sides

20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)

20x - 10x = 150 - 60

Simplify

20x - 10x = 150 - 60

10x = 90

Isolate the x. Divide 10 from both sides

10x/10 = 90/10

x = 9

It takes 9 months for the cost to be the same.

(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.

---------------------------------------------------------------------------------------------------------------------

hope this helps



[tex](a) \: 20x+60 \\
(b) \: 10x+150 \\
(c) \: Tom \: pay \: less \: during \: first \: month: \\ 20 \times 1 + 60 < 10 \times 1 + 150 \\ 80 < 160 \\ Edward \: pay \: less \: after \: a \: year: \\ 20 \times 12 + 60 > 10 \times 12 + 150 \\ 300 > 270 \\ (d) \: 20x + \: 60 = 10x + 150 \\ 10x = 90 \\ x = 9 \\ After \: 9 \: months \: of \: membership \: they \: will \: pay \: the \: same \: amount: \: \textdollar240 \\ (e) \: Super \: Fit \: membership \: is \: a \: better \: deal \: because \: you \: will \: pay \: less \: in \: a \: long \: period \: of \: time \: compared \: to \: Platinum \: Gym \: membership.[/tex]

sole equation 4×6-24÷4

Answers

4x6-24/4

24-24/4

24-6

Answer: 18


What is -3x2? plez help

Answers

it is -6

-3x2=-6

do 3x2 (6) but add the negative after


Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.

How to perform multiplication operation?

To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.

-3: This is a negative constant, representing the number -3.

×: This symbol represents the multiplication operation.

2: This is a positive constant, representing the number 2.

Now, perform the multiplication:

-3 × 2 = -6

So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.

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PLLZ HELP! Solve each given equation and show your work. Tell whether it has on solution, and infinite number of solutions, or no solutions, and identify each equation as an identify, a contradiction, or neither.
(a) 2x + 3x - 6 = 10 + 4x

(b) 17 + 5x = 23 + 4x - 6 + x

(c) 7x + 4 = 5x + 8 + 2x - 10

Answers

a. 2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

x=16

one solution


b. 17+5x=23+4x-6+x

17+5x=17+5x

infinite number of solutions


c. 7x+4=5x+8+2x-10

7x+4=7x-2

no solution

(a) 2x + 3x - 6 = 10 + 4x  ---> Answer: x = 16, it has one solution, it is an identity.

Adding the like terms on the same side of the equation to solve for x:

2x + 3x - 4x = 10 + 6

x = 16

(b) 17 + 5x = 23 + 4x - 6 + x ---> Answer: it has infinite number of solutions, it is a contradiction

Adding the like terms on the same side of the equation to solve for x:

5x - 4x - x = 23 - 17 - 6

5x - 5x = 6 - 6 (this equation is cancelling everything on each side so it can not be true no matter what value we assign, therefore it has infinite number of solution)

(c) 7x + 4 = 5x + 8 + 2x - 10 ---> Answer: no solution, its a contradiction.

Adding the like terms on the same side of the equation to solve for x:

7x - 5x - 2x = -10 + 8 - 4

7x - 7x = -6 (the terms of x are cancelled by each other, therefore no solution.

Noah runs 15 feet per second. Jake runs 101 feet in 8 seconds. Debbie runs 1 mile in 45 seconds. Stephanie runs 869 feet in 1 minute. Who runs the fastest?

Answers

Given that 1 mile is 5280 feet, we know that Stephanie is already not the fastest. 15 × 60 = 900, so Noah is also not the fastest. 60 / 8 = 7 1/2, 7 1/2 * 101 = 757 1/2, so Jake is the slowest. Running 1 mile in 45 seconds, Debbie is the fastest.

Answer:Noah runs the fastest, u gave me the wrong answer!!!!!!!!!

Step-by-step explanation:

a line that passes through the point (1, –1) and parallel to another line whose slope is 1.

Answers

Parallel lines have same slope so so far the new equation looks like this
[tex]y = 1x + b \\ y = mx + b[/tex]
now you plug in you points or coordinates to find b or solve for the y-intercept
[tex] - 1 = 1(1) + b[/tex]
[tex] - 1 = 1 + b[/tex]
[tex] - 1 = 1 + b \\ - 1 = - 1[/tex]
[tex] - 2 = b[/tex]
now that you have your b your final solution is
[tex]y = 1x - 2 \: or \: y = x - 2[/tex]

Which value of x is in the solution set of the inequality -3x+5>17?

Answers

-3x + 5 > 17      |subtract 5 from both sides

-3x > 12       |change the signs

3x < -12      |divide both sides by 3

x < -4

flowers unlimited has two spring floral arrangements, the easter bouquet and the spring bouquet. the easter bouquet requires 10 jonquils and 20 daisies and produces a profit of $1.50. the spring bouquet required 5 jonquils and 20 daisies and yield a profit of $1. how many of each type of arrangement should the florist make to maximize the profit if 120 jonquils and 300 daisies are available? (assume that all bouquets will be sold)

Answers

Answer:

The florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

Step-by-step explanation:

Suppose, the number of the Easter bouquet is [tex]x[/tex] and the number of Spring bouquet is [tex]y[/tex].

The Easter bouquet requires 10 jonquils and 20 daisies, and the Spring bouquet requires 5 jonquils and 20 daisies.

So, the total number of jonquils required [tex]=10x+5y[/tex]

and the total number of daisies required [tex]=20x+20y[/tex]

Given that, there are total 120 jonquils and 300 daisies are available. So, the constraints will be........

[tex]10x+5y\leq 120;\\ \\ 20x+20y\leq 300;\\ \\ x\geq 0; y\geq 0[/tex]

(As the number of each type of bouquet can't be negative)

Now, each Easter bouquet produces a profit of $1.50 and each Spring bouquet produces a profit of $1. So, the profit function will be:  [tex]P=1.50x+1y[/tex]

If we graph the constraints now, then the vertices of the common shaded region are:      [tex](0,0), (12,0), (9,6)[/tex] and [tex](0,15)[/tex]

For (0, 0) ⇒  [tex]P=1.50(0)+1(0)=0[/tex]

For (12, 0) ⇒  [tex]P=1.50(12)+1(0)=18[/tex]

For (9, 6) ⇒  [tex]P=1.50(9)+1(6)=13.50+6= 19.50[/tex]

For (0, 15) ⇒  [tex]P=1.50(0)+1(15)=15[/tex]

So, the profit will be maximum when  [tex]x=9[/tex] and [tex]y=6[/tex]

Thus, the florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.

what is the lengh of the line segmant between (-3,8) and (7,8)

Answers

Answer:

Length = 10

Step-by-step explanation:

Normally you would use

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

But the 2 y values are the same so y2 - y1 = 0.

d then becomes sqrt(x2 - x1)^2

d = (x2 - x1) because the square root of (x2 - x1)^2 is just (x2 - x1)

x2 = 7

x1 = -3

d = (7 - - 3) = 10


|-19| - |+17|. I hate math

Answers

Because it's taking the absolute value, negatives become positive. You can rephrase it as 19-17, and you can do that one. Say it with me now, 2.

The absolute value of -19, expressed as |-19|, is +19.  That of |+17| is 17.  We are thus left with +19 - 17, or 2.

Twelve less than the one fifth of a number is -7

Answers


[tex] \frac{x}{5} - 12 = - 7 \\ \frac{x}{5} = 5 \\ x = 25[/tex]

Answer:

[tex]\frac{1}{5} -12=-7[/tex]


identify the slope and y-intercept of this equation and then show the steps to convert to standard form

y=9x+7

Answers

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7    (the implicit function form)

or

y-7 = 9*(x-0)  (the point-slope form)

Lmk if you have questions.

which is larger 5.034, 5.34, or 5.043

Answers

5.34, because the 3 is in the tenths place

To find the largest number among 5.034, 5.34, and 5.043, let's compare these numbers one-by-one:

1. First, we compare 5.034 and 5.34. Since 0.34 is larger than 0.034, therefore, 5.34 is larger than 5.034.

2. Next, we need to compare this larger number (5.34) with the remaining number 5.043. Here, 0.34 is also larger than 0.043.

So, after these comparisons, we see that 5.34 turns out to be the largest number among the three numbers 5.034, 5.34, and 5.043.

I'll give brainliest! Whats the value of r that makes the equation true? r+(-0.16)=0.37

A)-0.53
B)-0.21
C)0.21
D)0.53

Answers

The answer is D Because -0.16 + 0.53 = 0.37

r + (-0.16) = 0.37
r = 0.37 -(-0.16)
r = 0.37 + 0.16
r = 0.53

A theater sells adult tickets for $8.00 and children’s tickets for $5.50

Answers

Let Total = t, adult tickets = a, children's ticket = c, total cost = T

t = a + c

T = 8a + 5.50c

is your system equation.

hope this helps

What is 3y plus 5x=-15 written in slope-intercept form?

Answers

To make an equation into slope intercept form, Y must have no coefficient.


So to solve

[tex]3y + 5x = -15\\3y = -5x-15\\y = -\frac{5}{3}x-3[/tex]

Answer:

I think it is Option C

y+5/3x-5

Because if you do it then you get it XD

Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there.How much must she buy before her savings equal her membership fee?

Answers

$100 worth of groceries.

Q25. A ladder AP of length 10m is kept against a wall AB such that it reaches a window at A, 6m high from the ground. The same ladder reaches another window at C when it is rested against the wall opposite to AB. If the walls are 14 m apart. Find the height of the window at C from the ground.

Answers

Answer:


Step-by-step explanation:

Given a ladder AP of length = 10m is kept against a wall AB such that it reaches a window at A, such that AB=6m .

Consider a triangle ABP

By Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (10)^2=(6)^2+(BP)^2\\\Rightarrow100=36+(BP)^2\\\Rightarrow(BP)^2=64\\\Rightarrow\ BP=8\ m[/tex]

Now,The same ladder reaches another window at C when it is rested against the wall opposite to AB .

Let D be a point which represent the foot of the second building CD on the ground which is 14 m away from B.

∴ BD = BP+ PD              

⇒ 14 = 8+PD

⇒PD =14-8 = 6m

Now consider another triangle CPD

Again by Pythagoras theorem,

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (CP)^2=(CD)^2+(PD)^2\\\Rightarrow\ (10)^2=(CD)^2+(6)^2\\\\\Rightarrow100=(CD)^2+36\\\Rightarrow(CD)^2=64\\\Rightarrow\ CD=8\ m[/tex]

Therefore, the height of the window at C from the ground CD=8m

Which of the following is an example of a chemical change?
Select one:
a. The shell of an egg breaks when it is struck against a hard surface.
b. A mixture of flour, sugar, eggs, and butter is baked to become a cake.
c. Flour and sugar are sifted together into a measuring cup.
d. Chocolate squares are melted to make cake icing.

Answers

The answer is B.

To find the answer you can immediately cross out A and C. You're left with a mixture of ingredients that turn into a cake or choclate melting. Chocolate melting is a physical change so by using the process of elimination you can conclude that B is the correct answer.

Answer:

The correct answer is option B.

Step-by-step explanation:

We call chemical change to the process where two or more substances are transformed into other substances.

During this change, the substances will have a modification in the structure of their molecules and their bonds.

In the case of the example we can see how different substances (flour, sugar, eggs and butter) will change the shape of their structure to form another substance: the cake. This cake will receive the name of product.

Given this information, we can say that the correct answer is option B.

If 13% of the 250 million adult Americans live in poverty, how many adult Americans live in poverty?

Answers

If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.

your answer is 32,500,000

One number is 5 more than another. Five times the smaller equals 4 times the larger. Find the numbers

Answers

The value of x, the larger number,  is equal to 25.The value of y, the smaller number, is equal to 20.

x = 5 + y

4x = 5y

Because we already have a value for x, we can solve for the exact value of y.

4(5 + y) = 5y

Distributive property.

20 + 4y = 5y

Subtract 4y from both sides.

y = 20

Now that we have the exact value of y, we can solve for x.

x = 5 + 20

x = 25

Help me plzzzz I need more hw to do so help at least

Answers

5. Simple multiplication: 12 * 4 = 48 books in total

6. Simple multiplication: 29 * 4 = 116 cards in total

7. You could turn 5 * 198 into (5 * 200) - (5 * 10) using the Distributive Property and use mental math to solve

8. subtraction, multiplication

9. Simple multiplication: 5 * 78 = $3.90, so C

During 7 1/2 months of hibernation, a black bear experienced a weight loss of 64.4 pounds. On average, what was the bear's weight change per month? Round to the nearest tenth. Enter your answer in the box.

Answers

Final answer:

The bear lost an average of 8.6 pounds per month during hibernation. This was calculated by dividing the total weight loss (64.4 pounds) by the total duration of hibernation (7.5 months).

Explanation:

The student's question pertains to determining an average over a period of time. In this case, the black bear's average weight loss per month during hibernation. Given that the bear lost a total of 64.4 pounds in 7 1/2 or 7.5 months, we find the average by dividing the total weight loss by the total months. So, 64.4 pounds ÷ 7.5 months = approximately 8.59 pounds. When rounded to the nearest tenth, the black bear lost an average of 8.6 pounds per month during hibernation.

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Please Help. I'll give you BRAINLIEST.

Stan, Liam, and Louise are competing in a cooking competition. They all used different amounts of flour from a can containing 5 pounds of flour.

Stan used 12% of the total flour in the can.

Liam used 0.11 of the total flour in the can.

Louise used 0.7 pound of the total flour in the can.

Who used the greatest amount of flour from the can? Show your work and explain your answer in words.

Answers

Answer:

Louise used the most flour.

Step-by-step explanation:

Okay so first off 12% of 5 pounds would be 0.6 pounds. So we can put that Stan used 0.6 pounds. Then 0.11 of the total flour would be the same as 11% of 5 pounds, which is 0.55 pounds. So Liam used 0.55 pounds. We already know that Louise used 0.7 pounds of flour so we can order it like this.

Louise=0.7 Pounds

Stan=0.6 Pounds

Liam=0.55 Pounds

Answer:

Louise used the most flour.  

Louise   =   00.70 Pounds

Stan      =   00.60 Pounds

Liam      =   00.55 Pounds

PLZ GIVE BRAINLYEST!!!

simplify -16+8y+{-3}

Answers

-16 + 8y + {-3} =

-16 + 8y - 3 =

8y - 19

Solve for z. z−49−13=59 Enter your answer in the box. z=

Answers

Answer:

z = 131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

z - 49 - 13 = 59

Step 2: Solve for z

Subtract:                                                                                                             z - 62 = 69[Addition Property of Equality] Add 62 on both sides:                                  z = 131

Answer:

[tex] \small \sf \: z = \fbox{121}[/tex]

Step-by-step explanation:

z - 49 - 13 = 59

We need to find z.

solve for z

z - 49 - 13 = 59

combine like terms

z - 62 = 59

Add 62 to both sides

z - 62 + 62 = 59 + 62

z = 59 + 62

Add 59 and 62 to get 121.

z = 121

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What force is the sprinter exerting How did war in europe change Spain's plans for its north America colonies Drag each statement to the correct location.Distinguish between food that is aesthetic and unaesthetic.1- Food presented Aesthetically 2-Food presented UnaestheticallyA) Lasagna served with a garnish of parsley.B) The server gives you a meal thathas yellow squash, French fries,macaroni and cheese, and orange juice.C) You eat a spicy dish with spicy soup.D) You have a snack of raw celery sticks and crackers.E) You have a snack of raw celery stick and peanut butter.F) You smell the aroma of sweet and sour chicken. Which statements about the extrema of the graphed function is true. Select all that apply. What would most likely cause the wolf to lie down belly up? read "Forgetfulness" by Billy Collins. Then answer the question. The name of the author is the first to gofollowed obediently by the title, the plot,the heartbreaking conclusion, the entire novelwhich suddenly becomes one you have never read,never even heard of,as if, one by one, the memories you used to harbordecided to retire to the southern hemisphere of the brain,to a little fishing village where there are no phones.Long ago you kissed the names of the nine Muses goodbyeand watched the quadratic equation pack its bag,and even now as you memorize the order of the planets,something else is slipping away, a state flower perhaps,the address of an uncle, the capital of Paraguay.Whatever it is you are struggling to remember,it is not poised on the tip of your tongue,not even lurking in some obscure corner of your spleen.It has floated away down a dark mythological riverwhose name begins with an L as far as you can recall,well on your own way to oblivion where you will join thosewho have even forgotten how to swim and how to ride a bicycle.No wonder you rise in the middle of the nightto look up the date of a famous battle in a book on war.No wonder the moon in the window seems to have driftedout of a love poem that you used to know by heart.which element characterizes the structure of the poem?a. there are six stanzas of equal lengthb. there are 24 lines with a repeating pattern of five, seven, and five syllables.c. there is no clear pattern to the length of the stanzas.d. there are seven repeating rhymes. Which of the following sentences is capitalized correctly?A) My Mom asked me to clean my room before watching the georgia football game. B) After playing video games all morning, my mom told me that watching the Georgia game wasn't an option until my room was clean. C) I headed South on Main street to find the pizza place and get pizza for all my friends coming over to watch the Georgia game. D) While watching the georgia football game, I noticed the Coach yelling at his players from the sidelines when they made a mistake. Identify the positively-charged sub-atomic particle in the nucleus. A)electron B)neuron C)neutron D)proton Viete's Formulas - what are they used for?If we have a quadratic equation 2X^2 + 4X -6 = 0, whose roots are x1=1 and x2=-3 and where a = 2 b=4 and c=-6 then according to Viete's formulas (x1 + x2) = (-b/a) and (x1 x2) = (c/a).I suppose these formulas could be used as a double check for calculating the roots but do they serve any other purpose? (I also know there are other Viete's formulas for cubic, quartic, etc. equations). Which size container of cold farm ice cream is the better deal for Sheldon? Explain. Given: WXY is isosceles with legs WX and WY; WVZ is isosceles with legs WV and WZ. Prove: WXY ~ WVZ Review the detail. The purpose of "Kindertransport" is to explain the efforts of Britains in rescuing Jewish refugee children from Nazi-occupied territories. Which identifies the textual evidence that best develops this purpose?A) The Guardianship Act was passed in 1944 to provide care for those children who were not adopted, unmarried or under the age of 21.B) In very few cases the refugees were united with their loved ones.C) But, at a time of uncertainty in employment and with the country on the brink of war, few households could pay the sum of 50 required, the equivalent of 2000 today. D) With the outbreak of war, borders were closed and all transports ceased. The cost of a book is 90.5 and the tax is 4% what is the new cost A copier printS 89 copies in one minute .How long does it take the copier to print 1,858 copies The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container