Complete the two column proof

Complete The Two Column Proof

Answers

Answer 1

a. is Substitution Property

b. might be definition of supplementary angles

Answer 2

Answer:

B is the sum of adjacent angles is 180 degrees

Step-by-step explanation:

It is showing you that m∠3 and m∠4 "=" 180


Related Questions

Ashley has sold 70% of the 20 candy bars she is suppose to sell how many candy bars does she have left

Answers

She has sold 70% of 20

= 0.70 * 20

= 14 candy bars.

So she has 20 - 14 = 6 candy bars left

What is the value of the 5 in 9,9009,121.15

Answers

The value of 5 is hundredths


Struggling with an assignment that requires finding the probability of compound events. Can anyone please explain how to find it? Thank you!

Answers

Answer:

4/9 probability

Step-by-step explanation:

Imagine winning something, there's 3 possible prizes that you get to choose from and get to keep let's say 4 days? These all written on the paper that you must pull from a box.

Your three prizes are

             D1    D2   D3    D4

1. a car

2. a bike

3. skateboard.

Now if you can imagine a grid and you mark 1 dot in each day we'll end up with 12 slots total.

Let's say you don't want a skateboard you rather have a car or a bike. We need to figure out of the 12 possibility (assuming all are equal) What's the possibility of you pulling out anything BUT a skateboard?

You want at least 3 days in either or. So we must find P = (Days without skateboard)

We know it's all equal outcomes, you're going to get 1 day of that 1 item.. soo..


p (DWS) = _____

                 12 outcomes


Now you want how many days MORE THAN 3, can you use anything but the skateboard?


You have 3 & 4 days with a car...

You have 3 or 4 days with a bike.. Which gives us 4 of the days we do want!


Giving your final problem the looking like this .. P(DWS) = 4/9



In respects/C to KhanAcademy.


Answer:

4/9 probrabitaty


Step-by-step explanation:


5.4 trillion gallons of water can supply six months of supply for 100 million households, how many househods

Answers

please write the complete question for answer

The length of rectangular field is twice its breadth.If the perimeter of the field is 228,find the dimensions of the field

Answers

We have the equations: l = 2b and 2l + 2b = 228;

Then, 4b + 2b = 228;

6b = 228;

b = 228/6;

b = 38 (breadth);

l = 2·38;

l = 76 (length);

The following data show the number of candies in 15 different bags.

35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

Represent the data set on a dot plot.

A.
B.
C.
D.

Answers

Answer:

Im pretty sure its c

Step-by-step explanation:


Answer with explanation:

The data points in the question  are given by:

35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

On making a table of these data values based on the frequency of these points i.e. the number of times they appear in the data.

   Points             Frequency

     35                        2

     36                        1  

     37                         1

     38                         1

     39                         1

     40                         1

     43                         2    

     45                         1

     46                         1  

     48                         3

     50                         1

Hence, the dot plot will be a horizontal line such that the number are at a increment of 1 starting from 35 and shows up to 50.

This means that there are 1 dots over: 36,37,38,39,40,45,46 and 50.

2 dots over 35 and 43.

and 3 dots over 48.

The correct dot plot is attached to the answer.

plzzz help
2.-A line has an x-intercept of (4, 0) and a y-intercept of (0, 12). Find the slope of the line.
________________________________________
3.-A horizontal line includes the points (0, -5 ) and ( 2, -5 ) Find the slope of the line.

Answers


[tex] \frac{y2 - y1}{x2 - x1} = slope[/tex]

Problem #1
your going to need two points from the line to solve this. (use #3 as example)

Problem #3

x¹= 0, x²= 2
y¹= -5, y²= -5

Solving for the "y" portion
-5 - -5 = -10

Solving for the "x" portion
2-0 = 2

"y" a portion goes on top, "x" portion goes on bottom making it -10/2 which simplifies to -5.

ANSWER:
The Slope is -5

Answer:

A.(0, –5)

Step-by-step explanation:

What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56?

Answers

Answer:

[tex]a_{24}=146[/tex]

Step-by-step explanation:

The formula of a nth term of n arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

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

[tex]a_m=a_1+(m-1)d\\\\a_m-a_n=(a_1+(m-1)d)-(a_1+(n-1)d)\\\\=a_1+(m-1)d-a_1-(n-1)d=(m-1)d-(n-1)d=(m-1-n+1)d=(m-n)d[/tex]

Therefore

[tex]a_9-a_1=(9-1)d=8d[/tex]

[tex]8d=56-8\\8d=48\qquad|:8\\d=6[/tex]

Substitute:

[tex]a_1=8,\ d=6,\ n=24\\\\a_{24}=8+(24-1)(6)=8+(23)(6)=8+138=146[/tex]

Solve 24>−3r≥−9. please help

Answers

[tex]24 > -3r\geq-9\ \ \ \ |\text{change the signs}\\\\-24 < 3r\leq9\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{-8 < r\leq3}[/tex]

Inequalities are used to represent unequal expressions.

The solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]

Given

[tex]24>-3r \ge -9[/tex]

Divide through by -3

[tex]\frac{24}{-3}>\frac{-3r}{-2} \ge \frac{-9}{-3}[/tex]

Negative division changes the inequality sign

So, we have:

[tex]-8<r \le 3[/tex]

Hence, the solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]

See attachment for the graph of [tex]-8<r \le 3[/tex]

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Which graph represents the inequality y > 3 − x ?

Answers

To solve this problem you must think in this way.

First we see that function y is greater than 3-x, conclusion is the following

shaded area must be above function. That condition is satisfied by the graph 3 and 4.

Then we write inequality in the slope form  y> -x+3.

We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.

The correct answer is graph number 4 ( or D.)

Good luck!!!

Molly hikes 1/6 miles everyday to hike a total of 11/6 she would have to hike for how many days

Answers

Molly would have to hike for 11 days for it to equal 11/6

you can find the midpoint of a line segment using paper folding constructions
A.True
B.False

Answers

The answer should be true

Hope it helps

The midpoint of a line segment using paper folding constructions yes it is true.

What are paper folding constructions?

Comparable to mirroring one side of a plane in a crease, folding paper. So, to fold is to map one half of a plane onto another while also creating a crease.

The steps used to create a mid-point are given below:-

1. The top of the paper lies in itself; hence, we can say that the line segment lies in itself.

2. You have a new line at the centre of the paper. The point at the top of this centre line is the midpoint of the line segment.

3. The edges that lie on each other translate to the endpoints lying on each other.

Therefore, the midpoint of a line segment using paper folding constructions yes it is true.

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Vista company inc. Had a beginning inventory of 100 units of product RST at a cost of $8 per unit. During the year, purchases were. Determine the cost of goods available for sale

Answers

a) The cost of goods available for sale is $16,800.

b) The calculated values for the cost of goods sold under the FIFO and LIFO methods match the values obtained using the formulas, proving their accuracy.

(a) Beginning Inventory:

100 units at $8 per unit = $800

Purchases:

Feb. 20:

600 units at $9 per unit

= $5,400

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 400 units at $11 per unit

= $4,400

Dec. 8: 100 units at $12 per unit

= $1,200

Total Cost of Goods Available for Sale

= $800 + $5,400 + $5,000 + $4,400 + $1,200

= $16,800

Therefore, the cost of goods is $16,800.

(b) Given the sales of 1,500 units,

FIFO (First-In, First-Out):

The ending inventory consists of the most recent purchases.

Ending Inventory (FIFO):

Dec. 8: 100 units at $12 per unit

= $1,200

Cost of Goods Sold (FIFO):

Beginning Inventory: 100 units at $8 per unit = $800

Feb. 20: 600 units at $9 per unit

= $5,400

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 200 units at $11 per unit

= $2,200

Total Cost of Goods Sold (FIFO):

$800 + $5,400 + $5,000 + $2,200

= $13,400

LIFO (Last-In, First-Out):

Ending Inventory (LIFO):

Beginning Inventory: 100 units at $8 per unit = $800

Feb. 20: 400 units at $9 per unit = $3,600

Cost of Goods Sold (LIFO):

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 400 units at $11 per unit

= $4,400

Dec. 8: 100 units at $12 per unit

= $1,200

Total Cost of Goods Sold (LIFO):

= $5,000 + $4,400 + $1,200

= $10,600

Average-Cost:

Total Cost of Goods Available for Sale: $16,800

Total Units Available for Sale:

Beginning Inventory: 100 units

Feb. 20: 600 units

May 5: 500 units

Aug. 12: 400 units

Dec. 8: 100 units

Total Units Available for Sale:

= 100 + 600 + 500 + 400 + 100

= 1,700 units

Average Unit Cost:

= Total Cost of Goods Available for Sale / Total Units Available for Sale

= $16,800 / 1,700 units

= $9.882 per unit

Ending Inventory:

Remaining Units: 1,700 units - 1,500 units (sold)

= 200 units

Ending Inventory = Remaining Units x Average Unit Cost

= 200 units x $9.882

= $1,976.40

Cost of Goods Sold (Average-Cost):

Total Cost of Goods Available for Sale - Ending Inventory

$16,800 - $1,976.40 ≈ $14,823.60

Therefore, under the average-cost method:

Ending Inventory ≈ $1,976.40

Cost of Goods Sold ≈ $14,823.60

Compare the calculated values with the cost of goods sold formulas.

FIFO Cost of Goods Sold:

Beginning Inventory: 100 units at $8 per unit

= $800

Feb. 20: 600 units at $9 per unit

= $5,400

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 200 units at $11 per unit

= $2,200

Total Cost of Goods Sold (FIFO):

= $800 + $5,400 + $5,000 + $2,200

= $13,400

LIFO Cost of Goods Sold:

May 5: 500 units at $10 per unit

= $5,000

Aug. 12: 400 units at $11 per unit

= $4,400

Dec. 8: 100 units at $12 per unit

= $1,200

Total Cost of Goods Sold (LIFO):

= $5,000 + $4,400 + $1,200

= $10,600

The match the values obtained using the formulas, proving their accuracy.

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The question attached here seems to be incomplete, the complete question is:

Vista Company Inc. had a beginning inventory of 100 units of Product RST at a cost of $8 per unit. During the year, purchases were:

Feb. 20  600 units at $9

Aug. 12 400 units at $11

May 5  500 units at $10

Dec. 8  100 units at $12

Vista Company uses a periodic inventory system. Sales totaled 1,500 units.

Instructions

(a) Determine the cost of goods available for sale.

(b) Determine the ending inventory and the cost of goods sold under each of the assumed cost flow methods (FIFO, LIFO, and average-cost). Prove the accuracy of the cost of goods sold under the FIFO and LIFO methods. (Round average unit cost to three decimal places.)

To find the total variable cost for 6 jackets, calculate the average variable cost per jacket from the 7 jackets and multiply by 6. Other given economic scenarios involve calculating firm profits, break-even points, and shutdown points based on provided cost structures and market conditions.

The question relates to determining the total variable cost of 6 jackets, based on the given information that 7 jackets have a total variable cost of $300. Without specific details on how the costs change with each additional jacket, a direct calculation is not possible. However, if we assume that the variable cost per jacket is consistent, we can calculate the average variable cost per jacket by dividing the total variable cost for 7 jackets by 7, which is roughly $42.86. We would then multiply this average variable cost by 6 to find the total variable cost for 6 jackets.

For the firm with a total fixed cost of $1,000, a total cost of $4,200, and an output of 500 units, the total variable cost is $3,200. Similarly, for the firm with a total fixed cost of $1,200, a total cost of $4,000, and an output of 1,000 units, the total variable cost is $2,800. This information helps to determine the firm's break-even and shutdown price points.

Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and travels at 60 mph toward Westtown. After how many hours do the two trains meet? Enter your answer in the box.

Answers

here is your answer....

Answer: Hello mate!

first, let's do a list with all the things we know about this problem:

Both trains depart at the same time; we can define this time as t = 0 in hours.

the velocity of train A is 50mph

the velocity of train B is 60mph

both trains travel in opposite directions.

the initial distance between both trains is equal to 330 miles:

we want to know when the trains will meet each other:

The trains will meet each other when the sum of their traveled distance is equal to the initial separation between them.

the distance traveled by the train A is equal to his velocity multiplied by the time that passed since it departed.

this is: Da(t) = (50*t)mi

and the distance for the train B is: Db(t) = (60*t)mi

then, as we know, the trains will meet when Da(t) + Db(t) = 330mi

then 50*t + 60*t = 330

110*t = 330

t = 330/110 = 3h

the trains will meet 3 hours after they departed.

Andy told Lena that he spent $16.33 on 4.6 pounds of ground beef at the grocery store. How much will Lena spend if she needs 3 pounds of ground beef?A.$3.55B.$5.44C.$10.65D.$23.93

Answers

Total amount spent on 4.6 pounds of ground beef = $16.33

We have to determine the amount spend on 3 pounds of ground beef.

We will use unitary method to solve this problem.

So, amount spent on 1 pound of ground beef = [tex]$16.33 \div 4.6[/tex]

= $3.55

So, amount earned on 3 pounds of ground beef = [tex]3 \times $3.55[/tex]

= $10.65

Therefore, Lena will spend $10.65 on 3 pounds of ground beef.

So, Option C is the correct answer.

To determine Lena's expense for 3 pounds of ground beef, the cost per pound is calculated as $3.55, resulting in a total cost of $10.65.

To calculate how much Lena will spend for 3 pounds of ground beef, we first need to determine the price per pound that Andy paid. Andy spent $16.33 for 4.6 pounds of ground beef, so we divide the total cost by the number of pounds to find the price per pound:

Price per pound = $16.33 / 4.6 pounds = $3.55 per pound

Lena needs 3 pounds of ground beef, so we multiply the price per pound by the number of pounds Lena needs:

Cost for Lena = $3.55 per pound × 3 pounds = $10.65

Therefore, Lena will spend $10.65 for 3 pounds of ground beef, which corresponds to option C.

What is the value of x in the equation 2x + 9 = 21? (4 points)


2

6

9

15
2.
What is the value of z in the equation 5(2z + 4) = 0? (4 points)


-2

0

2

20
3.
What is the value of c in the equation 2c + 5(c – 5) = 10? (4 points)


0

2

5

10
4.
An equation is shown below:

3(4x + 5) = 12

Which of the following correctly shows the beginning steps to solve this equation? (4 points)


Step 1: 12x + 15 = 12
Step 2: 12x = –3

Step 1: 12x + 5 = 12
Step 2: 12x = 7

Step 1: 7x + 5 = 12
Step 2: 7x = 7

Step 1: 7x + 8 = 12
Step 2: 7x = 4
5.
How many solutions can be found for the equation 3y + 5 – 2y = 11? (4 points)


Zero

One

Two

Infinitely many

Answers

answer=2x=12,x=6

2z+4=0,z=-2

Answer: answer=2x=12,x=6

2z+4=0,z=-2

Step-by-step explanation:

Simplify the polynomial expression. 3x(-2x+7)-5(x-1)(4x-3)

A.
14x^2-14x+15
B.
-26x^2+21x-15
C.
-26x^2+56x-15
D.
-2x^2+14x-2

Answers

The answer is c. have a good day

Final answer:

To simplify the given polynomial expression, distribute coefficients to terms within each parentheses, combine like terms, and simplify further to obtain the simplified form of the expression: 14x^2 - 14x - 15.

Explanation:

To simplify the given polynomial expression, we'll start by distributing the coefficients to the terms within each parentheses:


 Distribute 3x into -2x+7: 3x(-2x+7) = -6x^2 + 21x
 Distribute 5 into (x-1) and (4x-3): 5(x-1)(4x-3) = 20x^2 - 35x - 15

Now, we'll combine like terms and simplify further:


 Combine the x^2 terms: -6x^2 + 21x + 20x^2 = 14x^2 + 21x
 Combine the x terms: 14x^2 + 21x - 35x = 14x^2 - 14x
 Combine the constant terms: 14x^2 - 14x - 15

Therefore, the simplified form of the given polynomial expression is 14x^2 - 14x - 15.

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The ratio of side lengths of square a to square b is 2 : 3. The perimeter of square a is 16 inches. What is the area of square b?

Answers

if the ratio of sides is 2:3, the ratio of the perimeters will be the same

   2             16

-------  =    ---------

3                 P



Using cross product  2*P = 3*16

                                    2P = 48

                                    P = 24 inches

4 gallons of shampoo will last 3 weeks and 7 gallons of shampoo how munch more does for 12 weeks

Answers

1. 7 gallons of shampoo will last 5 weeks and 1/4 of another week.
2. 16 Gallons of shampoo will last 12 weeks.

Work Shown
----------------------

0.75 (How much per gallon) × 7 (Gallon of shampoo) = 5.25 (Weeks
0.75 × 16 (How much gallons for 12 weeks) = 12 (Weeks.)

Feel free to drop a follow if I helped~!

Help!!!
Please help my little sister understand this question.

Answers

Answer,

-17.1

Explanation,

All they are asking you to do is input the numbers, "2.5" & "-14.6" into the eqation.

So, let's do that.

-2.5 - |-14.6|

Now, all you have to do is simplify,

-2.5 - |-14.6| = -17.1


Hope this helps :-)


How long will it take you to drive 120 miles at a speed of 15 per hours

Answers

All we have to do is divide 120 by 15

120 ÷ 15 = 8

Therefore, it will take 8 hours to drive 120 miles at a speed of 15 mph

Hope this helps

-AaronWiseIsBae

15miles = 60minutes

divide 15 by 120 which equals 8

8 times 60 equals 480

your answer should be 8 hours


Lily's car has a fuel efficiency of 888 liters per 100 kilometers.
What is the fuel efficiency of Lily's car in kilometers per liter?

Answers

12.5 kilometers per liter

Answer:

12.5

Step-by-step explanation:

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 4]? x f(x) -6 27 -3 6 -1 2 0 3 1 6 4 27 A. -6 B. -3 C. 3 D. 6 E. 21

Answers

Answer:

The correct option will be:  C.  3

Step-by-step explanation:

The given table is..........

[tex]x :[/tex]      -6      -3      -1      0      1      4

[tex]f(x) :[/tex]  27     6      2      3      6     27

The formula for average rate of change is:   [tex]\frac{f(b)-f(a)}{b-a}[/tex] , where [tex][a,b][/tex] is the given interval.

Here the interval is [-3, 4]. So,  [tex]a=-3[/tex] and [tex]b=4[/tex]

Now, plugging the values of [tex]a[/tex] and [tex]b[/tex] into the above formula, we will get........

[tex]\frac{f(4)-f(-3)}{4-(-3)}[/tex]

From the given table, we will get  [tex]f(4)=27[/tex] and [tex]f(-3)=6[/tex]

So, the average rate of change will be:  [tex]\frac{27-6}{4-(-3)}= \frac{21}{7}=3[/tex]

Answer:

The person that answered it above me is correct

Step-by-step explanation:

A furniture company currently produces 7500 chairs per month if production decreases 5% find the amount of decreases and the new number of chairs produced each month

Answers

here is your answer....

The new number of chairs produced per month is 7125

To find the amount of decrease:

Calculate 5% of 7500 chairs: 7500 x 0.05 = 375.

The decrease is 375 chairs.

To find the new number of chairs produced:

Subtract the decrease from the original amount: 7500 - 375 = 7125.

The new number of chairs produced per month is 7125

Write the equation of the line parallel to the given line and passing through the given point.

y = 6 through (3,4)

Answers

y = 6 it a horizontal line. The line parallel to horizontal line is horizontal line with the equation y = a.

The line passing through the point (3, 4) → y = 4.

Therefore your answer is : y = 4.

Answer:

y = 4.

Step-by-step explanation:

I checked :)

Factor the expression over the complex numbers.

[tex] x^{2} +18[/tex]

Answers

Here we are given the expression:

[tex]x^{2}+18[/tex]

Now let us equate it to zero to find x first,

[tex]x^{2}+18=0[/tex]

Now subtracting 18 from the other side,

[tex]x^{2}=-18[/tex]

taking square root on both sides,

So we will get two values of x as ,

[tex]x=3\sqrt{-2}[/tex]

[tex]x=-3\sqrt{-2}[/tex]

Now we can write square root -1 as i,

So our factors become,

[tex]x=3i\sqrt{2}[/tex]

[tex]x=-3i\sqrt{2}[/tex]

Answer:

The final factored form becomes,

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]



Answer:

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

Step-by-step explanation:

1. You must apply the Quadratic formula, which is:

[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]

2. Substitute values:

[tex]a=1\\b=0\\c=18[/tex]

[tex]x=\frac{-0+/-\sqrt{0^{2}-4(1)(18)} }{2(1)}\\x=\frac{+/-\sqrt{-72}}{2}\\x=\frac{+/-6i\sqrt{2}}{2}\\x=+/-3i\sqrt{2}[/tex]

3. Finally, you obtain:

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

What is the definition of a statistic?

A. a numerical measurement describing some characteristic of a population

B. a numerical measurement describing some characteristic of a sample

C. the complete collection of all individuals to be studied

D. a subcollection of members selected from a population

Answers

Here we have to find which of the following options is correct definition of statistic.

Statistic can be defined as numerical measurement describing some characteristic of a SAMPLE

So we can say that out of the four options, option B. a numerical measurement describing some characteristic of a sample  represents the definition of statistic exactly.

Answer: B. a numerical measurement describing some characteristic of a sample

Final answer:

A statistic is a numerical measurement describing some characteristic of a population or a sample.

Explanation:

The definition of a statistic is a numerical measurement describing some characteristic of a population or a sample. In option A, a statistic is described as a numerical measurement describing some characteristic of a population, while in option B, it is described as a numerical measurement describing some characteristic of a sample. Option C refers to the population itself, which is the complete collection of all individuals to be studied. Option D describes a sample, which is a subcollection of members selected from a population.

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Perform the indicated operations: (2/x-2)+(x/x+9)-(x+20/x^2+7x-18)

Answers

Answer:

b second option

Step-by-step explanation:

just did on edge

Answer:

B

Step-by-step explanation:

Just did it

In what diffrent ways can 440 be written as the product of two positve integers

Answers

 440    = 1 x 2 x 2 x 2 x 5 x 11

(1):            1 x 440

(2):           2 x 220

(2 x 2):     4 x 110

(5):           5 x 88

(2x2x2):   8 x 55

(2 x 5):    10 x 44

(11):          11 x 40

(2x2x5): 20 x 22

No need to continue because the next number is 2 x 11 = 22 and we already have that on the right side, so we have found all of the multiplicative pairs of 440.



f(x)=2/3x+3
What is the value of f(12)?

Answers

[tex]f(x)=\dfrac{2}{3}x+3\\\\f(12)\to\text{put x = 12 to the equation of a function}\\\\f(12)=\dfrac{2}{3}\cdot12+3=\dfrac{2}{1}\cdot4+3=8+3=11\\\\Answer:\ f(12)=11[/tex]

Answer:

11

Step-by-step explanation:

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Anti-Federalists vs Federalists, 1780sLocal ContextBroad ContextOther ContextThis is from the AMSCO guide for AP US History. drug testing if a person do not use drugs how cam he test positive on hair drug test Every human society has a culture. Why do you think that culture is so important to groups? What elements of culture make it a necessary part of any human group or society? According to the Preamble, the Constitution's purpose was to: A. create a better government.B. establish a fair legal system.C. ensure the freedom of future Americans.D. All of these choices are correct. *75 pts* NEED HELP ASAPIn a paragraph, explain why you think God put the tree of the knowledge of good and evil in the garden of Eden? Use complete sentences. His faith is great, I cannot touch his soul; But what I may afflict his body with I will attempt, which is but little worth. (scene 13, lines 7577) Who says these words about Faustus? the total cost of a new autombile, including a 4% sales tax on the price of the automobile, is $28,835. how much of the total cost of this new automobile is sales tax?How do I solve this problem What is the area of a piece of plywood measuring 2foot8inches long by 2 foot 4 inches wide What is an example the first author gives how science has solved a problem You accidentally slide a glass of orange juice off a table that is 1.1 m tall. How long does it take the juice to hit the ground What is the y-intercept of this line? (Enter the number only.)b= marshmallows are my favorite snack, she explained.does it contain a fragment, or is it punctuated correctly? How did the Manhattan Construction Company contribute to Oklahoma's efforts during World War II Entre que aos se construyeron los famosos castillos, murallas y torres en Cuba? a. entre 1530 y 1555 c. entre 1500 y 1800 b. entre 1350 y 1360 d. entre 1777 y 1779 Which expression represents the polynomial 7x+x36+x2 rewritten in standard form? x35x+6 x27x6 x32x27x6 x3+x27x6 x37x+6 Choose the number sentence that shows the distributive property of multiplication over addition.A. 3 (4 + 5) = (3 4) + (3 5)B. 3 (4 + 5) = (3 + 4) (3 + 5)C. 3 (4 + 5) = (3 4) + 5 Which statement describes a shared characteristic of Native American groups? They all developed societies that disappeared mysteriously. They all lived in tepees and wigwams and hunted on horseback. They all believed women and men were equals and could be leaders. They all depended on nature and the land for survival. Find the circumference of the circle if the square has an area of 144 m. Give your answer to the nearest tenth. Use 3.14 for pie For no apparent reason, a poodle is running at a constant speed of 5.00 m/s in a circle with radius 2.9 m . Let v 1 be the velocity vector at time t1, and let v 2 be the velocity vector at time t2. Consider v =v 2v 1 and t=t2t1. Recall that a av=v /t.A) For t = 0.4 s calculate the magnitude (to four significant figures) of the average acceleration a av.B) For t = 0.4 s calculate the direction (relative to v 1) of the average acceleration a av. C) For t = 0.2 s calculate the magnitude (to four significant figures) of the average acceleration a av.D) For t = 0.2 s calculate the direction (relative to v 1) of the average acceleration a av.E) For t = 7x10^-2 s calculate the magnitude (to four significant figures) of the average acceleration a av.F) For t = 7x10^-2 s calculate the direction (relative to v 1) of the average acceleration a av. what was the long term impact of martin luther's break from the catholic church? what do we see today as a result of his revolution