Volume please help due today!

Volume Please Help Due Today!

Answers

Answer 1

The new volume of the container will be 120 ft³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given a container with dimensions 3ft by 4ft by 5ft

Its volume need to be twice.

Volume of container = length*width*height

Original volume = 3*4*5 = 60 ft³

After doubling = 60*2 = 120 ft³

New dimensions are = 4ft by 5ft by 6ft

Hence, The new volume of the container will be 120 ft³ and New dimensions are 4ft by 5ft by 6ft

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Related Questions

The car makes one complete rotation about its circuit
every 36 minutes, at a fairly constant rate. Through how
many degrees would the car, which starts from its original
position, drives by the circuit from 8:00 AM to 3:00 PM,
on the same day.

Answers

8 AM to 3 PM is 7 hours = 420 mins

Find how many rotations:
420 / 36 = 11.66666 rotations

Using ratio

1 rotation : 360 degrees

11.66666 : x degrees

x = 11.66666 / 1 * 360 = 4200 degrees

12. Jill has 20 coins, consisting of nickels and dimes
totalling $1.40. How many nickels does Jill have?
Hint: Let the number of nickels be n, and the
number of dimes be 20 - n.

Answers

The number nickel is 12, and the number dimes are 8 if Jill has 20 coins, consisting of nickels and dimes totaling $1.40.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Jill has 20 coins, consisting of nickels and dimes totaling $1.40.

Let the number of nickels be n, and the number of dimes is 20 - n.

$1 = 10 dimes

$1 = 20 nickels

(1/20)n + (1/10)(20 - n) = 1.40

After solving:

n = 12

The number nickel = 12

The number dimes = 20 - 12 = 8

Thus, the number nickel is 12, and the number dimes are 8 if Jill has 20 coins, consisting of nickels and dimes totalling $1.40.

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Which of the following expressions will have a product greater than 4? pls answer with the questions in the pic

Answers

Answer:

Answer D

Step-by-step explanation:

Multiply them all out. D is 4.04

Answer: D is correct I took the test without having to see the answer just wanted to help u out:)

Step-by-step explanation:

9. Higher Order Thinking The length of a postage stamp is
millimeters longer than its width. The perimeter of the
stamp is 124 millimeters.
a. Write the equation that represents the situation.
b. What is the width of the postage stamp?
c. What is the length of the postage stamp?

Answers

The equation that represents the situation is 2(x+17/4+x) = 249/2 where x is the width, the width of the postage stamp is 29 millimeters and its length is 33.25 millimeters.

According to the question,

We have the following information:

The length of a postage stamp is [tex]4\frac{1}{4}[/tex] millimeters longer than its width. The perimeter of the stamp is [tex]124\frac{1}{2}[/tex] millimeters.

Now, let's take the width of the stamp to be x millimeters.

Length of the stamp = x + 17/4

(We have the converted the fractions from the mixed fraction.)

Now, we have the following expression because the stamp is in the shape of a rectangle:

2(length+width) = 249/2

a) 2(x+17/4+x) = 249/2

b) 2(2x+17/4) = 249/2

Dividing by 2 on both sides of the equation:

2x+17/4 = 249/2*2

2x+17/4 = 249/4

Subtracting 17/4 from both sides of the equation:

2x = 249/4 - 17/4

2x = 232/4

Dividing by 2 on both sides:

x = 232/(4*2)

x = 116/4

x = 29 millimeters

c) Length of the stamp = 29+17/4

Length = (116+17)/4

Length = 133/4

Length = 33.25 millimeters

Hence, the equation that represents the situation is 2(x+17/4+x) = 249/2 where x is the width, the width of the postage stamp is 29 millimeters and its length is 33.25 millimeters.

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help please and thankyou

Answers

The ratio that can be used to find x is sin 21 = x/22.

What are the trigonometric ratios?

The trigonometric ratios are the ratios that we can use to obtain the sides and the angles that are in a right angled triangle. The term right angled triangle has to do with a triangle that has one of its angles as 90 degrees.

Now;

Given that;

Sin θ = opposite/hypotenuse

opposite = x

hypotenuse = 22

θ  = 21 degrees

It now follows that to obtain the side x we have to use;

sin 21 = x/22

Hence, in looking for the side x, we have to use sin 21 = x/22

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A package of pens contains one red pen and five black pens. If 20 black pens are purchased, how many red pens are purchased? HURRY!

15 Points If Answered!

Answers

Answer: 4 reds

Step-by-step explanation:

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 1234 and 120 respectively. The standard error of the mean is.

Answers

The standard error of the mean is 11.99

Given,

In the question :

No. of observation is  100

The sample mean is = 1234

Standard Deviation is = 120

To find the standard error of the mean.

Noe, According to the question:

No. of observation:

N = [tex](C_{v}[/tex] / ∈[tex])[/tex] ^2

Where,

∈ = allowance % error of mean

[tex]C_{v}[/tex] = coefficient of variation

[tex]C_{v} =[/tex] σ / x bar × 100

σ = standard deviation and x bar = mean

x bar = 1234 , σ = 120 and N = 100

[tex]C_{v} = \frac{120}{1234}[/tex]  × 100

[tex]C_{v}[/tex] = 9.72%

N = [tex](C_{v}[/tex] / ∈[tex])[/tex] ^2

100 = (9.72/∈)^2

100∈^2 = (9.72)^2

∈^2  = 0.944784

∈ = 0.972%

The standard error of mean = mean x percentage of absolute mean error

= 1234 x 0.972/100

= 11.99

Hence, The standard error of the mean is 11.99

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g a coin is tossed 10 times, recording whether it comes up heads or tails each time it is tossed. how many outcomes involve at least 8 heads?

Answers

Using combination formula , total 987 ways or outcomes are possible /involve atleast 8 heads.

We have given that, a coin is tossed 10 times .

total possble outcomes = 2¹⁰ = 1024

here, the chances of occurrence of tail and heads and equal so, this is independent event .

we want to calculate total numbers of possble wats atleast 8 heads occurs .

At least 8 heads means exactly two toss gives Tail as a result.

here we count sequences with exactly 8 heads, and also count sequences with more than three heads. We could compute this by equivalent, by subtracting from 1025 the number of sequences with no head, only one head, and only 2 heads

= 1024 - ⁸C₀ ( + ⁸C₁ + ⁸C₂ )

= 1024 - ( 1+8+28) = 1024 - 37

= 987

Hence , 987 outcomes involve atleast 8 heads.

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Identify the graph of the rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

Answers

The equation for the rational function will be f(x) = (x² - 16)/(x - 2) and the denominator cannot be zero.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

The rational function has x-2 in the denominator.

The denominator cannot be zero.

The rational function will be:

[tex]y=\dfrac{\left(x^{2}-16\right)}{x-2}[/tex]

Thus, the equation for the rational function will be f(x) = (x² - 16)/(x - 2) and the denominator cannot be zero.

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Answer:

its a

Step-by-step explanation:

(−100) ÷ {200 − (14 − (−16) ) × 5} + 10 =

Answers

Answer: 8

Step-by-step explanation:

= (-100) ÷ (200 - (14 + 16) x 5) + 10

= (-100) ÷ (200 - 30 x 5) + 10

= (-100) ÷ (200 - 150) +10

= (-100) ÷ 50 + 10

= -2 + 10

=8

Answer:   8

Step-by-step explanation:    Remember BIDMAS, order of operations (brackets, indices, division, multiplication, addition, subtraction), since we have multiple brackets inside one another we'll start with the most inner brackets and then work from there.

14-(-16) = 30

30 x 5 = 150

200 - 150 = 50

(-100) ÷ 50 = -2

-2 + 10 = 8

Your rate of pay is 9.45 per hour if you workers 5 hours for 3 days and 7 hours for 2 days what is your gross pay before deductions

Answers

Answer: 274.05 dollars

Step-by-step explanation:


9.45 x 5 x 3 = 141.75

9.45 x 7 x 2 = 132.3


141.75 + 132.3 = 274.05


Brainliest by any chance?

The volume of a cone with height h and radius r can be found using the formula V
Find the volume of a cone with radius 9 feet and height 6 feet.
ft3
1
Tr²h

Answers

Answer:

508.94

Step-by-step explanation:

V = 1/3pi(r^2)(h)

plug in the values of r and h

V = 1/3(pi)(9^2)(6)

simplify

V = 508. 9380099

Round to nearest hundredth

V = 508.94

5 Each unit on the grid represents 1 mile. For Tia
to travel from the park to the library, she must
go 3 miles south and 5 miles west. Which
represents the coordinates of the library?
A (0, -8)
B (10,-8)
C (-8, 0)
D (-8, 10)

Answers

The coordinates that represents the position of the library is (0, -8)

Each unit on the grid represents 1 mile

Tia is going from park to library

The coordinates of the park = (5, -5)

First she must go 3 miles to the south, Therefore there will be change in the y coordinates and the x coordinates will be same

New coordinate of the Tia's position = (5, -8)

Then she must go 5 miles west, there will be change in the x coordinates and the y coordinates will be same

New coordinates of the Tia's position = (0, -8)

Hence, the coordinates that represents the position of the library is (0, -8)

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Find the equation of the line that passes through (-1,-3) and is perpendicular to 2 y = x − 3 . Leave your answer in the form y = m x + c

Answers

Answer:

y=-1(-3)+2

Step-by-step explanation:

on my test

help pls i dont understand this

Answers

Answer:

Basically Mate you gotta make a perpendicular line from the letter your told make a line from and then thats for the 2 pages basically they want you to do the same thing that is done but you do it for the letter.

PLEASE GIVE BRAINLIEST THANK YOU!!!

Which of the following is true about these similar triangles dilated by scale factor r?

A) AB = rDF



B) AB = rAB



C) AB = rDE



D) AB = rEF

Answers

AB = r AB

This is a dilation of similar triangles dilated by scale factor r.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Dilation means the original triangle is resized by the given dilation scale factor.

We multiply the scale factor with the original value.

Here,

AB, DE, and DF are the sides of the triangle.

If a side of the triangle is dilated we must have the same side along with the dilation scale factor r.

Now,

A) AB = r DF

This is not correct.

B) AB = r AB

This is correct.

C) AB = r DE

This is not correct.

D) AB = r EF

This is not correct.

Thus,

AB = r AB

This is a dilation of similar triangles dilated by scale factor r.

Option B is the correct answer.

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Graph JKL with vertices J(1, 3), K(5, 0), and L(7, 4) and its image after the glide reflection with a translation along <0,-3> and areflection in the y-axis.

Answers

JKL with vertices J(1, 3), K(5, 0), and L(7, 4) and its image after the glide reflection with a translation along <0,-3> and areflection in the y-axis is J'(-1, 0), K'(-5, -3), L'(-7, 1).

In the given question we have to graph JKL with vertices J(1, 3), K(5, 0), and L(7, 4) and its image after the glide reflection with a translation along <0,-3> and areflection in the y-axis.

The given vertices are J(1, 3), K(5, 0), and L(7, 4).

Firstly translation along (0,-3).

So translation is (x,y)→(x,y-3)

J'=(1, 3-3)=(1, 0)

K'=(5, 0-3)=(5, -3)

L'=(7, 4-3)=(7, 1)

We have to find the reflection in the y-axis so (x,y)→(-x,y).

Now the points are J'(-1, 0), K'(-5, -3), L'(-7, 1).

The graph of the glide reflection with a translation along <0,-3> and a reflection in the y-axis is given below.

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Which graph shows y= 1/2 [x]?

Answers

The third graphical representation is that of the function y = 1/2[x] .

The given function is y = 1/2[x] .

This is called the box function or the greatest integer function.

So for the equation of the line y = 1/2 x the graph passes through origin and through the points (2,1) , (4,2) and many more.

Now for the greatest integer function will take all the values of x greater than 1 up to 2 and round it off to 2.

so the points on the graph will be.

(2,1) , (3,1.5) , (4,2)....

This is clearly seen in the third option.

The integer function that returns an integer closest to the given real number is the largest integer function. also referred to as the step function. The greatest integer function rounds the input to the nearest integer. As a result, the equation to get the greatest integer is rather simple. It has the sign x, where x can represent any value.

The letter "x" denotes the biggest integer function for each real function. Real values are rounded to the nearest integer that is smaller than the input value by the function. Another term for this function is the floor function.

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Suppose that you draw two cards from a well-shuffled deck of 52 playing cards without replacement. What is the probability that the second card is an ace, given that the first card is an ace?.

Answers

Probability that the second card is an ace, given that the first card is an ace is 1/ 221

Without replacement means drawing the card first but not putting back to the deck and then drawing again.

Total number of cards in a deck = 52

Number of an ace in whole deck = 4

let event of getting an ace in first draw be A

and event of getting an ace in second draw be B

P(A) = 4 / 52 = 1 /13

drawing without replacement

P(B) = 3 / 51 = 1 / 17

Probability that second card is an ace given that first card is an ace is

P(A).P(B) =

1/13 × 1/ 17 = 1 / 221

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An article costs Rs 750. all prices are reduced by 40 % in a sale.
find its sale price.

Answers

Answer:

Rs. 450

Step-by-step explanation:

Selling Price ----- 750

Reduced by 40% therefore 40/100 x 750

=300

750-300= 450

Answer:

$450

Step-by-step explanation:

40 percent *750 =

(40:100)*750 =

(40*750):100 =

30000:100 = 300

750-300=$450

Find the measures of all three interior angles and exterior angles. ILL GIVE BRAINLIEST

Answers

The interior angles are 43°, 43° and 94°. and  exterior angle is 86°

Let the interior angles are ∠A, ∠B and ∠C.

From the question, we have

∠A = (5x-12)°

exterior angle = (8x-2)°

As the sides are equal

∠A =∠B = (5x-12)°

∠C = 180°-(8x-2)°

=182°-8x

Sum of interior angles of a triangle is equals to 180 degree.

∠A + ∠B + ∠C = 180°

(5x-12)°+(5x-12)°+182°-8x = 180°

2x+158° = 180°

x = 11°

Interior angles,

∠A =∠B = (5x-12)°

= (5*11-12)°

=43°

∠C =182°-8x

=182°-8*11

=94°

exterior angle = (8x-2)°

=8*11-2

=86°

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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write an expression quivalent to -3+2/3y-4-1/3y

Answers

Answer:

Re-arrange the terms and combine the like terms.

2

3

y

1

3

y

3

4

=

1

3

y

7

Step-by-step explanation:

The width of a rectangle is 4 units less than the length. The area of the rectangle is 32 units. What is the width, in units, of the rectangle?

Answers

4units
4 is 4 units less than 8 and 8 times 4 is 32

The width and length of the rectangle will be 4 units and 8 units, respectively.

What is the area of the rectangle?

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The width of a square shape is 4 units less than the length. The region of the square shape is 32 square units. Then the equations are given below.

W = L - 4               ...1

L × W = 32           ...2

From equations 1 and 2, then we have

L × (L - 4) = 32

L² - 4L = 32

L² - 4L - 32 = 0

L² - 8L + 4L - 32 = 0

L(L - 8) + 4(L - 8) = 0

(L - 8)(L + 4) = 0

L = 8, -4

Then the width of the rectangle is given as,

W = 8 - 4

W = 4 units

The width and length of the rectangular shape will be 4 units and 8 units, separately.

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Can I get some help please?

Answers

Answer:

66

Step-by-step explanation:

The angle 108 is equal to the angle 42 plus the vertical angle to x

108-42 = 66 this is the measurement for the vertical angle to x. Vertical angles are congruent so angle x is 66

PLEASE HELP! QUICK!

It costs $15 to become a member at Workout World Gym and then $30 per month for a membership.

A. What is the total cost (start-up fee and monthly charger) to be a member of Workout World Gym for 2 months? Show your work.

B. What is the total cost for x months? (Please show how you got it)

C. Graph the cost of the membership over a period of 2 years, using months as the units of time. Be suet to label your axes and scale them by labeling each grid line with a number.

D. Is there a proportional relationship between time and costs of the gym membership plan? Explain how you know.

Answers

Answer:

A) $75

B) y = 30x + 15

C) (24, 735) **graph below

D) Yes, there is a proportional relationship

Step-by-step explanation:

We can represent this relationship with an equation.

y = 30x + 15

where x would represent the months and y would be the total cost. The 15 would be the initial fee, which only occurs once.

A) Using the relationship [tex]y = 30x + 15[/tex], we can substitute 2 for x, since that would represent the months.

[tex]y = 30x + 15\\y = 30(2) + 15\\y = 75[/tex]

It would be 75 dollars.

B) The total cost for x months would just be the relationship

[tex]y = 30x + 15[/tex]

C) 2 years would represent 24 months. The screen shot below would represent the relationship. The y axis would be the total cost in dollars and the x axis would be the months. (24, 735)

D) Yes, there is a proportional relationship because as the time (months) progress or increases so does the price (dollars). The graph is linear too, which means it increases.

A certain species of bird was introduced in a certain county 25 years ago. Biologists observe that the population doubles every 10 years, and now the population is 21,000. What was the initial size of the bird population?

Answers

The initial bird population density is 3713.

Given info;

A certain county received a new species of bird 25 years ago. According to biologists, the population doubles every ten years and is currently 21,000 people.

To get the initial size of the bird population;

We use the formula,

[tex]P(t)=Po* 2^\frac{t}{10}[/tex]

Where Po is the initial population and t is the time in years.

[tex]21000= P(25)=Po*2^\frac{25}{10}[/tex]

[tex]21000= Po*2^\frac{5}{2}[/tex]

[tex]21000= 4\sqrt{2}*Po[/tex]

[tex]Po = 21000/4\sqrt{2}[/tex]

[tex]Po = 3712.31\\Po = 3713[/tex]

Hence, the initial size of the bird population is 3713.

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Which is in between 120º F and 130º F?

Answers

Answer:

121-129 F is in between

Step-by-step explanation:

If you select two different women at random, what’s the probability that:
A. At least one experienced IPV?
B. At least one did not experience IPV?

Answers

The probability of selecting at least one experienced IPV is 0.598 and at least one did not experience IPV is 0.866.

In the given question we have to find the probability of selecting at least one experienced IPV and at least one did not experience IPV

From the given table

Probability of experiencing IPV

P(Experienced IPV) = 366 / 1000 = 0.366

Probability of not experiencing IPV

Q(Not-experienced IPV) = 634 / 1000 = 0.634

Now when n samples are chosen from the population, the binomial probabilty distribution follows (P + Q)^n.

Here, n = 2,

So, (p +q)^2 = p^2 + 2pq + q^2

p^2 = Both experienced IPV

2pq = One has experienced IPV and other hasn’t

q^2 = None have experienced IPV.

A. Finding the probability of at least one experienced IPV.

P(At least one has experienced IPV) = P^2 + 2PQ

                                                         = (0.366)^2 + 2(0.366)(0.634)

                                                         =0.1339+0.4641

                                                         = 0.598

B. Finding the probability of at least one did not experienced IPV.

Q(At least one did not experienced IPV) = Q^2 + 2PQ

                                                                   = (0.634)^2 + 2(0.366)(0.634)

                                                                   =0.4019+0.4641

                                                                   = 0.866

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Can anyone please help meee!!

Answers

Answer:

equilateral acute

Step-by-step explanation:

equilateral-- all the sides have the same length

acute-- all the angles are below 90 degree

Answer:

Step-by-step explanation:

You'r answer should be an equilateral acute.

[tex]x^{2} =81[/tex]

Answers

Answer:

x = ± 9

Step-by-step explanation:

x² = 81 ( take square root of both sides )

x = ± [tex]\sqrt{81}[/tex] = ± 9

[tex]{ \red{ \boxed{ \pink{ \sf{x = 9}}}}}[/tex]

Step-by-step explanation:

Here, the question is,

[tex]{ \green{ \sf{ {x}^{2} = 81}}}[/tex]

Apply square root on both the sides then,

[tex]{ \green{ \sf{ \cancel { \sqrt{x} }^{ \cancel2}}}} \: = { \green{ \sf{ \sqrt{81}}}} [/tex]

Now,

[tex]{ \green{ \sf{x = \sqrt{81}}}} [/tex]

We got √81 as answer but what is the perfect square number of 81? That is 9. Same number when multiplied twice to get the resultant number makes a perfect square number. i.e. 9×9 = 81. So, the answer is

[tex]{ \green{ \boxed{ \red{ \tt{x = 9}}}}}[/tex]

Other Questions
The title specifies the title for the link, true or false? Name two language features the author uses in order to achieve the purpose of the textIt is recommended that an adult has a minimum of 75 minutes of vigorous aerobic activity a week and, on at least two days a week , perform muscle-strengthening exercises. At Jim's Gym, we recognise the importance of keeping fit and we want to make the experience as comfortable and enjoyable as possible for you. We have a range of state-of-the-art equipment for cardio-vascular workout and muscle building. We also have a 20m pool and a spa. Every week, we run 10 classes ranging from relaxing yoga and pilates to high -energy body pump. If you're looking for a personal training programme, we have a team of six excellent personal trainers with a combined 50 years experience between them. After using our facilities , you can complete your experience with a meal or a drink in our members -only caf. We have a choice of membership schemes to suit all: from basic membership to platinum membership entitling you to sign in guests and access all our weekly exercise classes. (See our website for more information.) Why not drop in to arrange your free session and guided walk through all our facilities ? We hope to see you soon. an approach to firm internationalization in which headquarters delegates considerable autonomy to each country manager, allowing him or her to operate independently and pursue local responsiveness is called . What is meiosis step by step? Which characteristics apply to Egyptian mummy portraits of the Greco-Roman Era?Choose all answers that are correct.A: They included shrouds that showed the dead surrounded by Egyptian gods.B: They were made on metal plates using the encaustic technique.C: They were done in a Greek style of painting, showing people in Roman fashion.D: They were done in realistic Greek style rather than using Egyptian formulas.(first CORRECT answer gets brainliest) Which of the following is set out in Article 6 ofthe Constitution, naming the document as thelaw above all other laws in the United States?A. PreambleB. Supremacy ClauseC. Amendments the crucial fighting in europe took place between germany and the soviet union, including the german siege of stalingrad. select stalingrad, which is considered the turning point of the european war, on the map. Please help quick!!! 1. Explain how and why staying informed about public issues is part of being a responsible citizen. 2. Explain how and why serving on a jury when called is part of being a responsible citizen. 3. The Founding Fathers saw civic virtue as taking an active role in improving America. How do you think this is different from being a responsible citizen? What is an example of being a responsible citizen that does not require taking an active role? 4. Explain the impact citizen involvement can have at the local, state, and federal levels. suppose megan gets a sales bonus at her place of work that gives her an extra $400 of disposable income. she chooses to spend $300 and save the remaining $100. from this, you can tell that megan's marginal propensity to consume (mpc) is , and her marginal propensity to save (mps) is . mathematically, it must always be true that: disposable income A weightlifter lifts 72kg. Which of the following weights is the same as 72kg? (1kg=1,000g)720 g720,000 g72,000 g30,000 g What is the benefit of password policy? - Olaudah EquianoWhat is the author's MAIN purpose in including information about how the whitemen looked and spoke? The following angles are supplementary to each other.mA = (4x + 30) and mB = (2x 30)Determine x. 15 20 30 60 2x4+6+5x8=_______________will mark brainiest a) How many times does the line y = -6 intersect with the circle x + y = 36 ?b) Hence, use a single word to describe what the line is to the circle. Brett and Julian sign up to run in the Memorial Day race in their town. There are two different events at this race, a 5k and a 10k. Brett signed up for the 5k and Julian signed up for the 10k. Think of when both Brett and Juan would have finished 3/5 of their races. How many kilometers has each person run at this point? Discuss the consequences of court organization in approximately One dimension of a rectangle is 3 more than twice the other dimension. Let x be theshortest dimension. Write an equation for the area of the rectangle.A= x + 2x + 3A = x(2x + 3)A= 3x +2A= 2x +3 A long-term care facility's policy is that a patient's door must remain open when meeting with visitors. Which of the following is being violated?Residents' Bill of RightsPatients' responsibilitiesPatient's Bill of RightsClient rights in order to increase the responsiveness of a forecast made using the moving average technique, the number of data points in the average should be: multiple choice increased. decreased. eliminated if the mad is greater than the mse. multiplied by a smaller alpha. multiplied by a larger alpha.