WHAT IS THE EXACT VALUE OF PI ?

Answers

Answer 1

Answer:

3.14159

Step-by-step explanation:

Answer 2
3.14159 is the correct answer

Related Questions

A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?

Answers

Step-by-step explanation:

315 calories for 3 miles.

315/3 = 105 calories for 1 mile

105×10 = 1050 calories for 10 miles

Answer:

Hello! The answer is 1050 calories.

Step-by-step explanation:

To calculate this, you have to find how many calories are used PER mile. To do this, you have to divide the total calories by the mileage:

315 ÷ 3 = 105

Now that you have the calories used per mile, you can find how many calories are used in a 10 mile jog:

105 × 10 = 1050 calories

8.25 The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when it is full?

Answers

Answer:

125 cups

Step-by-step explanation:

36/100*x = 45

18/50*x = 45

18x = 2250

x = 125

Answer:

The amount of coffee the maker will hold when full be 125 cups.

Step-by-step explanation:

Given:

The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

To find:

Number of cups of coffee does it hold when it is full.

The formula used to calculate percentage is: (value/total value)×100%.

Step 1 of 1

Let the amount of coffee the maker will hold when full be x.

Then given the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

Which implies:

[tex]$$\begin{gathered}\frac{36}{100} \times x=45 \\0.36 x=45 \\x=\frac{45}{0.36} \\x=125\end{gathered}$$[/tex]

A developer has 3 plats of land. One was 39 acres, another was 37 acres, and another of 49 acres. How many 1/4 acre lots did he have? If each lot sold for $2000.00 how much did he sell all the lots for? (Giving out 20 points)

Answers

He has 500 1/4 acre plots, if he sold each 1/4 acre plot for 2000 then he would have made $1,000,000, if he sold each by entire acre he would have made $250,000

The number of 1/4 lots in 3 plots of land is 500 and the total amount obtained after selling the lots will be equal to $1,000,000.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of plats of land = 3

First plat = 39 acres.

The number of 1/4 acres in the first plat will be,

39 × 4 = 156

Second plat = 37 acres

The number of 1/4 lots in the second plat will be,

37 × 4 = 148

Third plat = 49 acres

The number of 1/4 lots in the third plat will be,

49 × 4 = 196

Then, the total number of 1/4 acres lots will be,

156 + 148 + 196

= 500 lots

Price of each lot = $2000

Then, the price of 500 lots will be,

$2000 × 500

= $1,000,000

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ANSWER FAST AND PLS EXPLAINN

(05.04 MC)

An image of a rectangular pyramid is shown below:



A right rectangular pyramid is shown.

Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)

Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Answers

Answer: A: SquareB: Triangle

Step-by-step explanation:

Aaaaaaaaaaaaaa. a a a a a a a a


20. Sofia paid $11.80 for a pen, a marker, and a binder. The marker cost $0.80 more than the pen. The binder cost 4 times as much as the marker. What was the cost of the pen?

Answers

Answer:

$1.30

Step-by-step explanation:

Let x = the cost of the pencil

Let x + .80 = the cost of the pen

Let 4(x + .80) = the cost of the binder

x + x + .80 + 4(x + .80) = 11.80

2x + .80 + 4x + 3.20 = 11.80

6x + 4.00 = 11.80

6x = 7.80

x = $1.30

x + .80 = $2.10

4(x + .80) = $8.40

$1.30
Just did the problem and got it correct!

IM CONFUSED: A used car dealer has the following information for 2 months of sales:
Month 1: 239 cars sold
Month 2: 324 cars sold
Do we have an increase or a decrease in sales and what percentage?

Answers

Answer:

Rounds to about 135% increase.

Step-by-step explanation:

Increase/original number x 100

324 / 239 × 100. This rounds to about a 135% increase.

I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.

There was an increase in sales between Month 1 and Month 2, as the number of cars sold in Month 2 (324 cars) was higher than the number sold in Month 1 (239 cars).The percentage increase in sales is approximately 35.56%. This means that the sales in Month 2 increased by about 35.56% compared to the sales in Month 1.

To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.

Calculate the difference in sales:

Difference = Month 2 sales - Month 1 sales

Difference = 324 cars - 239 cars

Difference = 85 cars

To find the percentage change, use the following formula:

Percentage Change = (Difference / Initial Value) * 100

In this case, the initial value is the number of cars sold in Month 1 (239 cars).

Percentage Change = (85 cars / 239 cars) * 100

Percentage Change ≈ 35.56%

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Please answer correctly and answer all 2 QUESTIONS!

IF you don't know the answer DON'T answer!!

I will mark brainliest so hurry up and get your 60 points ! ty

Answers

Answer:

check explanation

Step-by-step explanation:

The first one is (x+5, y-3) because the shape has moved 5 points to the right and 3 points down

For the second one, basically, you need to take the shape and move it two grid points to the right and four squares down

Hope this helps

1: right five down three

What is each product?
a. (-6)(-9)
b. 28(-0.25)

A -54, -7
B 54 , 7
C 54, -7
D -54 , 7

Answers

Answer:

C 54, -7

Step-by-step explanation:

a. (-6)(-9) = 54

b. 28(-0.25) = -7

Answer: C 54, -7

The answer to your question is C

Can someone help me answer this?
50 points if answered

Will give Brainliest if you explain how you got the answer

Answers

Answer:

D. 1/3

Explanation:

[tex]\sf A : \dfrac{2}{9}[/tex]

[tex]\sf C : \dfrac{7}{18}[/tex]

Calculate distance between A and C

[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]

There are 6 intervals between A to C

[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]

Point B mark from A, there are 4 intervals:

[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]

Or, Point B mark from C, there are 2 intervals:

[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]

It’s D because it’s closest to 1/3 interval points

2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey 12 students on the basketball team. Determine whether the sample is biased or unbiased. Explain. (Section 10.6)

Answers

Yes your going to get biased opinions and they would all say yes because they play basketball in the gym so obviously they want good things so they want it to be remodeled
It will be biased definitely because ur asking a sport focused group of students

A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?

Answers

Answer:

Step-by-step explanation:

315/3

3miles=315cal

1mile = 105cal

105*10=1050cal

1,050
315 divided by 3 = 105
105 x 10 = 1,050

What is the Cost Price?

Cost price: $60 and Loss: 12 1/2%

Answers

Answer,   60 and Loss =12½. The selling price or the S.P. is Rs. 45.:

Step-by-step explanation:

60 & lost 12 1/2 :))

9. You want to compare the average amounts of time students in sixth, seventh, and eighth grade spend on homework each week.
b. Perform the experiment. Can you make a conclusion about which students spend the most time on homework? Explain your reasoning.

Answers

Answer:

if you compare the average of the 3 grades the one with the highest average would be the grade who spends the most time on homework.

Step-by-step explanation:

Compare the average 3 grades and

I need an answer for number 8 really quick
help me, please!!!

Answers

Easy just divide the first two number by each other and you’ll bet the unit rate
1 Pound = $28.80/8P = $3.80

Therefore, the equation linking p and C is :

p=3.80C


Circle the correct option: A, B, C, or D.

4. Which of the following is equal to 1.5 kg?

A 150 g
B 15 g
C 1.5 g
D 1,500 g

Answers

Answer:

Option D

Step-by-step explanation:

1kg =1000g1.5kg = 1000 x 1.5 = 1,500g

Hope this helps.

Good luck ✅.

1,500g it’s the answer cuz i’m smart

7.33. Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours. If they work together, then how long will it take them to paint the fence?

Answers

Answer:

It takes them 30/11 hours to paint them together.

Step-by-step explanation:

This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:

[tex]Tom: R_{T}*6=1\\Huck: R_{H}*5=1[/tex]

We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:

[tex]Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}[/tex]

Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):

[tex](\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11[/tex]

Therefore, the time it takes them to paint the fence together is 30/11 Hours

Answer:

The number of hours it will take them to paint the fence is 2.7 hours.

Step-by-step explanation:

Given:

Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours.

Find:

the number of hours it will take them to paint the fence

Step 1 of 1

Determine their work rates, and then add them.

In particular, Tom can paint [tex]$\frac{1}{6}$[/tex] of a fence per hour, and Huck can paint [tex]$\frac{1}{5}$[/tex] of a fence per hour.

So, together they can paint [tex]$\frac{1}{6}+\frac{1}{5}=\frac{11}{30}$[/tex] of a fence per hour. Therefore, the time to paint the whole fence is [tex]$\frac{1 \text { fence }}{\frac{11}{30} \text { fences per hour }}=\frac{30}{11}$[/tex] hours

[tex]$=2 \frac{8}{11} \text { hours, }$$[/tex] or a little over 2.7 hours.

There are 1 1/2 pounds of bricks in a bag. Each brick weighs 3/4 of a pound. How many bricks are in the bag?\\

Answers

Answer:

ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2

so lets just count up 3/4

3/4 =1

1 1/2=2

so 2 times

Hope This Helps!!!

Answer:

There are 2 bricks in the bag.

Step-by-step explanation:

Let n represent the number of bricks in the bag.  Then:

(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:

     

        1 1/2 lb

n = --------------------- = 2 bricks

        3/4 lb/brick

There are 2 bricks in the bag.

Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.

Answers

#36 is A # 38 I C #44 is D and # 48 is A
okay thank you so much

what is 3÷11=
A. 11/3
B. 3/11
C. 3/8
D. 8/3

Answers

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

Answer:

my answer is B. 3/11

Step-by-step explanation:

which is =27.27%

pls if correct please mark me as Brainliest Answer please

Simplify the expression. (Section 3.1) 48. 2y - 5(y - 3)

Answers

Answer:

-3y+15

Step-by-step explanation:

2y - 5(y - 3)

To simplify, the first step is to distribute the -5

2y - 5y +15

Combine like terms

-3y+15

Answer: 15-3y

Step-by-step explanation:

Using the distributive property, we have:

2y-5y+15

simplifying gets us:

15-3y.

2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. e. 75 is what percent of 50?

Answers

Answer:

75 is 150% of 50!

150% because 100% = 50(1). x % =75(2)

PLEASE HELP!!!!!
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.

Answers

The answer is 3 units from the sides of the triangle
I got that the answer is three units

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.

No, this would not be equivalent.

Number 4: 8 times 4 equals 32, 6 times 4 equals 24.

Yes, this would be equivalent.

Number 5: 30/5 equals 6. 70/8 is NOT 6.

No, this would not be equivalent.

Number 6: 24/2 equals 12. 100/3 is not 12.

No, this would not be equivalent.

Number 7: 30/2 is 15. 60/10 is NOT 15.

No, this would not be equivalent.

Number 8: 20/1 equals 20. 100/5 is also 20.

Yes, this would be equivalent.

Number 9: 20/5 equals 4. 30/6 is not 4.

No, this would not be equivalent.

Number 10: 45/3 is 15, 70/4 is NOT 15.

No, this would not be equivalent.

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Answer:

1.Is 4/5 equivalent to 32/45? - No

2.Is 7/8 equivalent to 28/32? - Yes

3.Is 1/10 equivalent to 30/100? - No

4.Is 6/8 equivalent to 24/32? - Yes

5.Is 5/8 equivalent to 30/70? - No

6.Is 2/3 equivalent to 24/100? - No

7.Is 2/10 equivalent to 30/60? - No

8.Is 1/5 equivalent to 20/100? - Yes

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Step-by-step explanation:

what is the volume of a cone with a height of 10.5 inches and a radius of 8 inches

Answers

Answer: 703.72 inches^3

Step-by-step explanation:

Volume = pi * r^2 * h/3

             = pi * 8^2 * 10.5/3

             = 64 pi * 3.5

             = 224 pi

             = 703.72 inches^3

In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.

Answers

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

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The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

The perimeter of ∆AEC is 25 centimeters

How can the perimeter of the formed ∆AEC be found?

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = 30 ÷ 2 = 15

AB = BC = 15 cm.

Using the rule of cosines, we have;

10² = 15² + 15² - 2×15×15 × cos(A)

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

A = arccos (350 ÷ 450) ≈ 51.06°

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

DB = 15 ÷ 2 = 7.5

From the rule of sines, we have;

DE/sin(51.06°) = 7.5/sin(38.94°)

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

BE ≈ √(7.5² + 9.28²) ≈ 11.93

Similarly, we have;

AE ≈ √(7.5² + 9.28²) ≈ 11.93

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

The perimeter of ∆AEC = 25 cm

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HEEEEELLLLPPPP 3 PLEAASSEEE

Answers

Step-by-step explanation:

1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function

2: Term

3: Sequence: I don't really know how to explain this besides it's literally the definition

4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation

5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)

6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)

It is not a function

Josh is 72 inches tall. Ruben is 9/10 as tall as josh. John is 11/12 tall as ruben. a. what is rubens height in inches b. what fractional of of joshs height is johns?

Answers

Answer:

A. Ruben's height- 64.8 inches

B. John's height- 3/4 of Josh's height

Step-by-step explanation:

A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.

B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.

A. Rubens height in inches is 64.8
B. 33/40 is the fractional part of johns height to Josh’s

PLEASEEEEE:
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%

1994 cost: $171.33 and 1995 cost: $201.59

Answers

Answer: It's 18%

Step-by-step explanation:

Answer:

118% so it is 18 %

Step-by-step explanation:

What is 280.0575 as a fraction

Answers

Answer...

[tex]280\frac{23}{400}[/tex]

Steps....

1) Rewrite the decimal number as a fraction with 1 in the denominator

2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000

3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25

4) Simplify the improper fraction!

Which of the following expressions are equivalent to 1/-7 x -6/5?

Choose ALL the answers that apply.
A. - 1/7 x 6/5

B. -6 x - 7/5

C. None of the above.

Answers

Answer:

C.

Step-by-step explanation:

1/-7 × -6/5 = 6/35

A. -1/7 × 6/5 = -6/35

B. -6 × -7/5 = 42/5

Answer: C.

Answer :
C
None of the above
Other Questions
Sam, a buyer for a small warehouse company, is looking to purchase a forklift from caterpillar or komatsu. He is looking for a reliable, narrow forklift to fit between the warehouses smaller aisles and that is a lower price. Sam doesnt need added-on services; he is well-versed in using and maintaining large equipment. He evaluates the forklift types and decides on a komatsu. Sam chooses the komatsu for its perceived reliability and it is $1500 less than the caterpillar forklift. Which approach that komatsu took was a success for sam as a customer?. What is the ratio by mass of these compounds a. 2na+cl2 =2nacl? b.h2o +nao=2naoh? c.hcl+naoh=nacl+h2o? If the restatement method for a foreign subsidiary involves remeasuring from the recording currency into the functional currency, then translating from functional currency to U.S. dollars, the functional currency of the subsidiary is: I. the U.S. dollar. II. the recording currency unit. III. a third country's currency. A tennis player tosses a tennis ball straight up and then catches it after 2.07 s at the same height as the point of release.(a) What is the acceleration of the ball while it is in flight?magnitude m/s2direction upward(b) What is the velocity of the ball when it reaches its maximum height?magnitude msdirection downwardmagnitude in zero(c) Find the initial velocity of the ball. m/s upward(d) Find the maximum height it reaches. m Solve 10x=3how do i take logarithms on both sides? On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters? What are three ways that state constitutions are like the United States Constitution ? What were two things that native Americans were forced to do to assimilate into white culture? Select all correct statements from below. a. Recrystallization is a technique used to purify solid compounds based on solubility differences at different temperatures. b. Toluene is a clear, colorless liquid which becomes a vapor when exposed to air at room temperature. Do not breathe in. Always handle it in the fume hood. c. Filtration is a technique to separate solid from liquid(s). d. There are two different filtration techniques: Gravity Filtration and Vacuum Filtration. On a coordinate plane, triangle K J L is shown. Line segment G H goes from side J K to J L. Point K is at (0, 0), point G is at (e, f), point J is at (2 e, 2 f), point H is at (e + d, f), and point L is at (2 d, 0).To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?The length of JK equals the length of JL.The length of GH is half the length of KL.The slope of JK equals the slope of JL.The slope of GH is half the slope of KL. The adaptive radiation of the mammals occurred mostly during the Group of answer choices Pleistocene. Quaternary. Mesozoic. Cenozoic. It is estimated that recycling 1 ton of paper saves about 17 trees. About how many trees are saved if 8254 ton of paper are recycled Below functions flatten the nested list of integers (List[List[int]]) into a single list and remove duplicates by leaving only the first occurrences. When the total number of elements is N, choose the one that correctly compares the time complexity with respect to N of each function. 1. National Aeronautics and Space Administration, or NASA, is the agency dedicated to exploring space; it represents:worldwide space collaborationthe NATO conferencethe United States governmentGermany, Russia, and the U.S. How many extra reps should you be able to perform with perfect technique before increasing the weight for a particular strength training exercise Whats the correct answer answer asap for brainlist According to the Unit, one of the biggest threats to global security in the early 21st century is:conflict between the United States and the Soviet Union.instability in Western Europe:fundamentalist terrorist organizations.declining population in sub-Saharan Africa. Would raising the price of a product create a larger decline in quantity demanded for a monopolistic competitor than it would for a monopoly Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference. 7, 9, 10, 12, .... What was the religious policy of the countries who signed the treaty that ended the Thirty Years' War? will give Brailiest If correct. Each major empire dictated its territorial religion. Every individual enjoyed freedom of religion. Each prince dictated the religion of his territory. Only Roman Catholic Christianity was state-approved.