A solid cylindrical metal is melted and recast into cubes of metal of side 3cm the base radius of the initial cylindrical metal is 10.5 and height is 63cm . how many cubes will be Madeline​

Answers

Answer 1

Answer:

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initi… Get the answers you need, ... is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made.

Step-by-step explanation:

hope this is right!


Related Questions

ayudenme con esto por favor

ayudenme con esto por favor

Answers

Answer:

the answer is on the computer

Step-by-step explanation:

If f(x) = 5x12, what is f(2)?​

Answers

Answer: 120

Step-by-step explanation: if f(2) then F(2)= 5(2)12 so we multiply 5x2=

10x12=

120 Answer

Simplify 4x^2 / 3 X 6/ 8x

Answers

Answer:

x

Step-by-step explanation:

The answer to

\( \frac{4 {x}^{2} }{3} \times \frac{6}{8x} \)

= x

Answer:

x

Step-by-step explanation:

\(\frac{4x^{2}}{3}*\frac{6}{8x} = \frac{4x^{2-1}}{1}*\frac{2}{8}\\\\=4x*\frac{1}{4}\\\\= x\)

Jane's school is due west of her house and due south of her friend Norma's house. The distance between the school and Norma's house is 8 kilometers and the straight-line distance between Jane's house and Norma's house is 9 kilometers. How far is Jane's house from school? If necessary, round to the nearest tenth.

Answers

Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

\(\begin{gathered} \text{Hypotenus}^2=opposite^2+adjacent^2 \\ \text{Hypotenus = 9km, opposite = 8km and adjacent = x km} \\ 9^2=8^2+x^2 \\ \text{Isolate x}^2 \\ 81=64+x^2 \\ \text{Collect the like terms} \\ 81-64=x^2 \\ 17=x^2 \\ \text{Take the square roots of both sides} \\ \text{x = }\sqrt[]{17} \\ \text{x = 4.1 km} \end{gathered}\)

Therefore, the distance between Jane's house from school is 4.1 km

Jane's school is due west of her house and due south of her friend Norma's house. The distance between

find the measure of the missing side

find the measure of the missing side

Answers

Answer:

10.3

Step-by-step explanation:

a^2 + b^2 = c^2

3.9^2 + b^2 = 11^2

b^2 = 121 - 15.21

b = 10.3

Answer:

10.3

Step-by-step explanation:

We use the pythagorean theorem. (a^2+b^2=c^2)

3.9^2 + b^2 = 11^2

3.9^2 = 15.21

11^2 = 121

15.21 + b^2 = 121

Subtract 15.21 from both sides

b^2=105.79

Take the square root of both sides

b = 10.28

10.28 is closest to 10.3 and it is also rounded to 10.3, therefore 10.3 is the answer.

The model below can be used to find the quotient of one over two divided by one over eight. What is the quotient?

Answers

Answer:

4

Step-by-step explanation:

1/2 goes into 1/8 4 times.

(a) is 3 {3}? yes no (b) how many elements are in the set {3, 3, 3, 3, 3}? (c) how many elements are in the set {0, {0}}? (d) is {0} {{0}, {1}}? yes no (e) is 0 {{0}, {1}}? yes

Answers

By applying elements of the set concept, it can be concluded that:

(a) Yes, 3 ∈ {3}

(b) There are 1 element in the set {3, 3, 3, 3, 3}

(c) There are 2 elements in the set {0, {0}}

(d) Yes, {0} ∈ {{0}, {1}}

(e) No, 0 ∉ {{0}, {1}}

A set is a well-defined collection of distinct objects or elements. It means that there is no ambiguity or confusion regarding the inclusion or exclusion of any element in the set.

A set denoted by: {a,b,c,d} has 4 elements, where a,b,c, and d are distinct elements.

Now we apply this concept to the question:

(a) Yes, 3 is an element of the set {3}, or mathematically written: 3 ∈ {3}

(b) There are 1 element in the set {3, 3, 3, 3, 3} because a set cannot have duplicate elements, so the repeated 3s are not counted as different elements.

(c) There are 2 elements in the set {0, {0}}, the first element is the number 0, and the second element is the set {0}.

(d) Yes, {0} is an element of the set {{0}, {1}}, or mathematically written: {0} ∈ {{0}, {1}}

(e) No, 0 is not an element of the set {{0}, {1}}, or mathematically written: 0 ∉ {{0}, {1}}

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Full question:

(a) is 3 ∈ {3}?

(b) how many elements are in the set {3, 3, 3, 3, 3}?

(c) how many elements are in the set {0, {0}}?

(d) is {0} ∈ {{0}, {1}}?

(e) is 0 ∈ {{0}, {1}}?

what is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x 2?

Answers

The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

The formula for the average rate of change is expressed as rate= (f (b) - f (a)) / (b - a), where the letters a and b represent two points on the interval that is being analyzed and f (a) and f (b) are the function values of those points. The interval [1, 5] is being considered here so the value of a =1 and value of b=5.So, the average rate of change of y with respect to x is given by;(f(b)−f(a))/(b−a) = [f(5)−f(1)]/(5−1). By substituting x = 5 into the function equation, we get f(5) = \(4(5)^2\) = 100. By substituting x = 1 into the function equation, we get f(1) = \(4(1)^2\) = 4. Substituting these values into the average rate of change formula;[f(5)−f(1)]/(5−1) = (100 - 4) / 4 = 96/4 = 24.

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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How do I solve it ? I don’t understand

How do I solve it ? I dont understand

Answers

Answer:

1) 3 Points Include: E, B and F. To explain in Detail. Point E, which is (-1,1) Point B, which is (0,-2) and Point F, which is (2,3) The Directions tell you to name 3 Points on the image. The points I just explained are all on the graph, so they are all points in the Image.

Two Lines are: Lines CD and Lines AB. These are both lines on the images. The points A and B are connected with a line, so they are a line on the graph. The Points C and D are also connected by a line, therefore, both lines CD and AB are lines on the image.

A Line Segment: A line segment is a line connected with two end points, You can say a line is a segment when both ends of the line have a dot, also known as a point. One line segment in this image is Line EB, both the points are connected by a line, and both sides of the line have a point.

The Plane: The plane is the entire surface that everything is on. The plane has all the lines, segments, and points. All planes extend infinitely far. We can see, the plane is "O". The letter O is located towards the middle of the graph, Therefore, the Plane is "O"

2)One Point: On the Plane, one point is point S. Q and R are also points, but the question only asks for one point.

The Line: There is only one line on the plane, this line is line QR. Both points Q and R are connected by a line.

The Plane: The Plane is "T" in the bottom left of the image, in the corner of the plane (the plane is the blue area) you can see the letter T. "T" is the plane.

Does the line go through the Plane? Yes. The line does go through the plane. Here's why: On the line QR, both sides of the line have arrows. If a line has arrows that means the line goes on forever in the direction the arrow is pointing. If a line has two dots, its a segment, which means the lines end at the points, they do not go on forever. In this case, the line goes on forever and it goes through the blue area, which is the plane.                      

Question 1
Solve the equation. Enter only the number into the box below,
22
18+ X

Answers

Answer:

no cemma cuhydhfhhdhdhd

A plumber works 8 hours in one day and is paid $34.50 per hour. Which equation
can be used to find T, the total amount the plumber is paid in one day?
A. T=8+34.50
B. 34.50=8+ T
C. 34.50 = 8x T
D. T-8 x 34.50

Answers

the answer is D. T = 8 x 34.50

18
The table shows information about the numbers of points scored by 28 students in a quiz.
Number of points
0
1
2
3
4
5
(a) Find the modal number of points.
(b) Work out the total number of points scored.
Frequency
5
4
5
5
6
3
(1)

18The table shows information about the numbers of points scored by 28 students in a quiz.Number of points012345(a)

Answers

Consequently, this student's quiz results have a median, or "middle," value of 16.

Define median.

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.

Here,

the median, or "middle" value in a data set. Your data must be in numerical order in order to calculate the median.

Exam results:

9, 13, 20, 15, 18, 17

Number the rows and columns.

9, 13, 15, 17, 18, 20

Calculate the "middle" value:

9, 13, 15, 17, 18, 20

If there are two middle values, put them together and divide by two.

15 + 17 = 32

32/2 = 16

Consequently, this student's quiz results have a median, or "middle," value of 16.

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Kathy buys a box of 8 cookies that weighs 93 grams. If the empty box
weighs 21 grams, how much does each cookie weigh?

Answers

Answer:

9 grams

Step-by-step explanation:

93-21/8

MATH HELP ASAP!!! PLSSS

MATH HELP ASAP!!! PLSSS

Answers

First one is 13. Second is 9. Third is 5. Fourth is 1.

Step-by-step explanation:

i think the answers are 1)13 2)9 3)5 4)1

Select the equation written in slope-intercept form that corresponds to the given slope and y-intercept. m=6 b=-2

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

PLSSSS HELP IF YOU TRULY KNOW THIS

PLSSSS HELP IF YOU TRULY KNOW THIS

Answers

Answer:

x=1

Step-by-step explanation:

10(x-1) =0

We want to use the distributive property.

10x -10 =0

Add 10 to each side.

10x-10+10 = 10

10x = 10

Divide each side by 10.

10x/10 = 10/10

x = 1

A cylindrical water bottle with a height of 21 cm and diameter 6.5 cm is fully filled with water. Kelvin wants to pour all the water in the bottle into a cubic container. State thr minimum leght, to the nearest cm, the side of the cube.​

Answers

Answer:

9 cm

Step-by-step explanation:

First, we need to find the volume of the cylindrical water bottle. The volume of a cylinder is πr²h where r = radius and h = height. In this case, r = diameter / 2 = 6.5 / 2 = 3.25 and h = 21 so the volume is π * 3.25² * 21 = 221.8125π ≈ 696.84. Let's call the length of the cubic container s. The volume of the cube (which is s³) must be at least the volume of the water bottle, therefore:

s³ ≥ 696.84

∛s³ ≥ ∛696.84

s ≥ 8.86566

The smallest integer value that satisfies this is 9 cm.

Jalece and Kaylyn are making brownies and muffins for a bake sale. They make 40 more muffins than brownies. They made a total of 126 sweet items for the sale. How many of each type of baked good did they make?

Answers

I really don't know I hope you can figure it out

Answer: 43 brownies and 83 muffins.

Step-by-step explanation: There are 126 sweet items in total.  Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies.  Let's try 83 muffins and 43 brownies to see if it suits what we need.  With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct.  83 and 43 also add up to 126, which is the total that we need.

Therefore, there are 43 brownies and 83 muffins.

Let me know if this is right! :)

HELPPP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!
The units of the subway map below are in miles. Suppose the routes between stations are straight. Station​ F, not shown on the​ map, is 12 miles west and 3 miles north of Station A. What is the approximate distance between Station E and Station​ F?


The distance from Station E to Station F is approximately ___ miles. ​(Round to the nearest tenth as​ needed.)

HELPPP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!The units of the subway map below are in miles. Suppose

Answers

Answer:

8.2 miles

Step-by-step explanation:

a²+b²=c²

-12-(-4)=-8

3-1=2

-8²+2²=68

square root of 68 is 8.24 and rounded to the nearest 10th is 8.2 miles

Peyton joins a video game club for a
one-time lee of $12. Each video game
that is rented is $2 Which equation
represents the relationship between the
number of video games that Peyton
rents and the total cost c?

Answers

answer:

2x + 12 = c

step-by-step explanation:

one time fee = $12each game = $2let x be the number of gamesc = total cost

2x + 12 = c

Consider the graphs of the following lines.
3x - 5y = 2
3x + 5y = -2
Find the slope m of each line.
3x - 5y = 2
m₁ =
3x + 5y = -2
m2 =
8.6A.
4

Answers

Slope of lines 3x - 5y = 2 and 3x + 5y = -2 are m₁ = 3/5 and m₂ = -3/5 respectively.

What is slope of the line?

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line. The net change in the y coordinate is Δy and the net change in the x coordinate is Δx. Therefore, the change in y-coordinate for a change in x-coordinate can be written as

Line slope is a measure of the steepness or direction of a line in the coordinate plane.  

m = Δy/Δx

where,m is the slope

Given,

equations of the line

3x - 5y = 2

Moving 3x to RHS
-5y = -3x + 2

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

comparing with slope intercept equation of the line y = mx + c

slope m₁ = 3/5

Now, equation

3x + 5y = -2

moving 3x to RHS

5y = -3x - 2

y = (-3/5)x - 2

comparing with slope intercept equation of the line y = mx + c

slope m₂ = -3/5

Hence, m₁ = 3/5 and m₂ = -3/5 are slope of lines 3x - 5y = 2 and 3x + 5y = -2 respectively.

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(5p-q) (2p^2-3pq-2q^2)​

Answers

Answer:

10pq^3 + 2q^3 - 17qp^2 - 7pq^2

Step-by-step explanation:

(5p-q) (2p^2-3pq-2q^2)

= 10p^3 - 15qp^2 - 10pq^2 - 2qp^2 + 3pq^2 + 2q^3

= 10pq^3 + 2q^3 - 17qp^2 - 7pq^2

A train line includes a bend of radius 2,000 metres. If the train is expected to travel around the bend at a speed of 100 kilometres per hour, what bank angle should be used so as to give maximum passenger comfort. Answer in degrees, to 2 decimal places.

Answers

When a train takes a turn, there are two forces acting on it: the force of gravity and the centrifugal force. The centrifugal force is the force that is directed away from the center of the curve and acts on the train.

If the centrifugal force is greater than the force of gravity, the train will derail. To prevent this, the train should be banked at an angle so that the centrifugal force is balanced by the force of gravity.Here, we need to find the bank angle that would give maximum passenger comfort when the train is expected to travel around a bend of radius 2000 m at a speed of 100 km/h.Now, let us find the centrifugal force acting on the train:F_c = m * v² / rwhere,F_c is the centrifugal force,m is the mass of the train,v is the velocity of the train,r is the radius of the bend.Substituting the values given in the problem:F_c = (mass of the train) * (100/3.6)² / 2000F_c = 27.77 * (mass of the train)So, the force that acts on a passenger of mass 'm' in the outward direction is:F_p = m * F_c / gwhere,F_p is the force acting on the passenger,m is the mass of the passenger,F_c is the centrifugal force,g is the acceleration due to gravity.F_p = m * 27.77 * (mass of the train) / 9.8F_p = 2.83 * m * (mass of the train)

The force that acts on the passenger in the inward direction is the force of friction between the passenger and the train. This force should be equal to the force acting on the passenger in the outward direction, in order to give maximum passenger comfort. So, the coefficient of friction between the passenger and the train is given by:μ = tan θwhere,μ is the coefficient of friction,θ is the bank angle of the train.To find the bank angle, we use the formula for the maximum value of friction:μ = tan φwhere,φ is the angle of friction, given by:φ = tan⁻¹(v² / (g * r))φ = tan⁻¹((100/3.6)² / (9.8 * 2000))φ = 13.07°μ = tan 13.07°μ = 0.23θ = tan⁻¹ 0.23θ = 12.99°Therefore, the bank angle that should be used so as to give maximum passenger comfort is 12.99°, to 2 decimal places.

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Miguel made $264 for 12 hours of work.At the same rate, how much would he make for 7 hours of work?

Miguel made $264 for 12 hours of work.At the same rate, how much would he make for 7 hours of work?

Answers

First, divide the money that Miguel made (264) by the number of hours worked (12)

264/12 = $22 per hour

For 7 hours:

22 x 7 = $154

A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused

Answers

Answer:

b) The average speed at which he travelled for the whole journey

Step-by-step explanation:

If he had travel 200- km/h and had broke down by which was at 10:30 a.m  you would have to subtract 200 km/h to 10:30  your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640

Solve for 8x + 17 = 41 for x. Show your work.

Answers

The value οf x is 3

What is variable?

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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(5-3y)^2
it makes me write more characters sooooooo

Answers

Step-by-step explanation:

\((5 - 3y) {}^{2} \\s olution \div \\ ( - 3y + 5) + 5( - 3y + 5) \\ 3y( - 3y + 5) \ + 5( - 3y + 5) \\ 9y {}^{2} - 15y + 5( - 3y + 5) \\ 9y {}^{2} - 15y - 15y + 25 \\ 9y { }^{2} - 30y + 25 \\ \)

hope this will help u :)

Answer:

I dont understand if he/she needs it worked out or what, because the question makes no sense?

Step-by-step explanation:

Evaluate- (5 - 3y) 2

Subtract the terms- (- 3y + 5) 2

Solution- 9y2 - 30y + 25

Alternative Form- (3y - 5)2

a group spends $277.50 to rent 15 tubes for a float down the ichetucknee river. how many of each type of tube does the group rent?

Answers

Each tube costs $15.17 to the group of friends when they rent 15 tubes for floating down near the Ichetucknee River. The procedure is as follows:

Given, the cost of each tube; 15 tubes would cost $277.50 to rent.

1 dollar equals 100 cents. Along these lines, $227= 22700 pennies

Consequently,

the cost of 15 tubes be = (22700+50)cents

                                                      =22750 pennies

The expense of one tube= (22750/15)cents

                                          =1516.7 pennies

                                          = $15.17

The expense split technique is a method used to distribute the cost of a shared expense among a group of individuals. It involves dividing the total cost of the expense by the number of people in the group to calculate each person's share of the cost.

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Complete the table.

Distances:
a = _pi
b = _pi
c = _pi

Heights:
d =
e =
f =

Complete the table.Distances:a = _pib = _pic = _piHeights:d = e = f =
Complete the table.Distances:a = _pib = _pic = _piHeights:d = e = f =

Answers

The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

What is distance?

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

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If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times

Answers

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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A bond that matures in 15 years has a $1,000 par value. The annual coupon interest rate is 7 percent and the market's required yield to maturity on a comparable-risk bond is 15 percent.What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually? Why do you need to use a solvent mixture such as hexane-isopropanol to extract lipids? 1) what is the answer to 2^-2x2^-4 10% of pheochromocytomas are extraadrenal, occurring insites such as the organ of Zuckerkandl and the carotidbody, where they usually are called __ pls help this is due today In a constant-pressure process, H = 0. What can you conclude aboutE, q, and w? During combinatorial control, different combinations of proteins come together to determine the rate of proteolysis determine the rate of transcription repair different types of DNA damage bind to RNA and recruit RISC determine the rate of translation I think I am going to become a ghost today because I broke my computer Please help me with this homework Six word summary's for book 1 harry potter All 17 chapters. Not an essay. Just a six letter summary of all 17 chapters. Along with quotes and page number.Will give 10 points and mark you brainiest if possible. Also, please make sure you read the first Harry Potter book and don't put random nonsense. ASP! What two money crops ruined much of the soil in the southern states?cottontobaccocornsugar canewheatHURRYYYYYYYYYYY!!!!!!!! the codetermination principle was created to ensure that employees have a role in managerial decision making, thus creating a more democratic and accountable workplace. what are the benefits of this model? what are the disadvantages? A structure made up of two or more types of tissues that performs a specific set of functions is at what level of organisation the work that is required to compress a 33.0-cm-long spring (that is the length in the re- laxed state) by exactly 1/3 of its unstrained (neither compressed nor stretched) length is 67.3 j. (a) what must be the spring constant of this spring? (b) what is the applied force that is necessary to perform that compression? Please help!!! Help !!help!!!! Write in conditional sentence type 2. I can't stand him. If he ______(be) hired,I would quit. The use the 1. English Bill of Rights, 2. The Magna Carta and 3. The Enlightenment from England. The also use American ideas, such as, 4. New England town meetings, 5. Virginia Statue for Religious Freedom, 6. The Mayflower Compact, 7. The Declaration of Independence, and 8. Thomas Paine's "Common Sense." Other ideas that the Americans use were the ideas of 9. republicanism, 10. limited government, 11. suffrage, 12. constitution, and 13. Iroquois League. The assignment is to choose 5 of the ideas above and briefly explain why the Americans chose that idea to include in their creation of a new government in America. hydrogen reacts with oxygen to form water (H2O) according to the following equation: 2H2 + O2 2H2O what are the products of this reaction?O2H2OH2H2 + O2 Texting while driving is comparable to what other dangerous act? Social cost of burning fossil fuel in the U.S. include: (Check all that apply)Question 22 options:Cheaper foodsMore isolated communitiesIncreased cases of heart diseaseIncreased cases of asthmaEnvironmental justice issues true or false: you should always remove the batteries when not in use this will prevent the release of radiation.