Find the length of the third side. If necessary, write in simplest radical form. 3. 4 Need Answer ASAP

Answers

Answer 1

The answer is √7.

What is Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Step-by-step explanation:

Using the pythagorean theorem, we know that

     a^2 + b^2 = c^2

In this case,

c = 4, which means that a^2 + b^2 = 16

Since we know that a = 3, this means that a^2 is also 9. So, we know that b^2 = 16-9

Therefore, b^2 = 7

So, the answer is √7.

To know more about Pythagorean theorem visit,

https://brainly.com/question/343682

#SPJ1


Related Questions

which value is a solution to the inequality 9 - y >12?

Answers

Answer:

(A) -6

Step-by-step explanation: hope this helps!

Answer:

answer is -3 did like 5 days ago

A researcher investigated whether following a vegetarian diet could help to reduce blood pressure. For a sample of 85 people who followed a vegetarian diet for 4 months, the mean systolic blood pressure was 124 mmHg. For a sample of 75 people who followed a non-vegetarian diet for 4 months, the mean systolic blood pressure was 138 mmHg. Methods of statistics show that if a vegetarian diet had no effect on blood pressure, there would be less than 1 chance in 100 of getting these results. Does the result have statistical significance? Why or why not? Does the result have practical significance?

Answers

Answer:

Yes, the result does not have statistical significance

Yes, the result has practical significance

Step-by-step explanation:

An experiment or claim may be said to be statistically significant if it's occurence is likely not due to chance for a certain level of stated significance. From the scenario described, it is stated that if vegetarian diet has no effect on blood, then the result obtained wipukd likely occur in less Than 1 of 100 ; this is < 0.01. This means that the effect of vegetarian diet on blood could not have occurred by chance. Hence, result is statistically significant.

The result does have practical significance too, since there is a distinctive difference in blood pressure of non - vegetarians(138mmHg) and Vegetarians (124mmHg).

Derive the equation of the parabola with a focus at (2,4) and a directrix of y=8

Answers

Answer:

The equation of the parabola with a focus at (2,4) and a directrix of y=8 is,

48-8y=(x-2)²

Ethan had planned to visit his local post office on Saturday to exchange $400
or euros. The exchange rate for that day was $1 = 1.25 E
However, due to unforseen circumstances, Ethan arrived at the post office after

it closed on that day. He therefore had to wait until the following Monday to
exchange his $400 for euros. The exchange rate on Monday was $1 = 1.20 E
a) How many fewer euros did he receive due to this delay? |20
b) What percentage loss was caused by this delay?

Answers

The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

What is the fewer euros received and the percentage loss?

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

To learn more about exchange rate, please check: https://brainly.com/question/25780725

#SPJ1

A rabbit doubles every 6 months there are currently 5 rabbits the function f(x)=5(2)x models the rabbit population where x is the number of times the rabbit pupilation doubles how many rabbits will there be in two years?

Answers

Answer:

40 rabbits

Step-by-step explanation:

...

help please! I added extra points

help please! I added extra points

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. The first option.

Step-by-step explanation:

Using the distributive property you can see that when you distribute them you would get something like (8 x 4) + (3 x 4) = 44. The first option is the only one that states this.

Hope this helps :)

plssssssssssssssssssssssssss
helppppppppppppppppppppppppppp
fasttttttttttttttttttttttttttt

plsssssssssssssssssssssssssshelpppppppppppppppppppppppppppfasttttttttttttttttttttttttttt

Answers

\(\huge\underline\bold{A} \underline\frak{nswer :}\)

\(✠===============✠\)

\( \large \boxed{b.pound}\)

\( \large\sf\to\green{explanation}\)

Pound is defined as the basic unit for weight in the Foot Pound Second (F.P.S) system and is equal to 16 ounces

\(✠===============✠\)

The basic units for length or distance measurements in the English system are the inch, foot, yard, and mile. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.

\(✠===============✠\)

#CarryOnLearning

mark me brainliest please

hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.

Answers

Answer:

It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.

Hope this helps! But this would be easier to explain with an example

The equation of the line is y=_. The slope indicates that the temperature decreases by 3.5 F for each 1000 foot increase in altitude

Answers

The slope of the function is m = -3.5, which indicates that the temperature decreases by 3.5 degrees for each 1000 feet increase in elevation.

The temperature at Sea level is 87 °F

What is the slope of a function?

The slope of a straight line function is the ratio of the rise to the run of the function.

Parts of the question that appear missing includes; The slope and the temperature at Sea level is required.

A point on the table of the graph is that at 4 feet, the temperature is 73 °F

The rate at which the the temperature changes = -3.5 °F  per 1,000 feet

The slope of the equation is therefore;

y - 73 = -3.5·(x - 4)

y = -3.5·x + 14 + 73 = -3.5·x + 87

y = -3.5·x + 87

The equation of the the line of the temperature above Sea level is an equation of a straight line, which is of the form; y = m·x + c

Where;

m = The slope of the function

By comparison, the slope of the equation of the line the function is; m = -3.5

The temperature at Sea level, which is the y-intercept is found at the point where x = 0, which gives;

y = -3.5 × 0 + 87 = 87

The temperature at Sea level is 87 °F

The slope of line of the graph of the function, m = -3.5

Learn more about the equation of a straight line here:

https://brainly.com/question/25969846

#SPJ1

( 25 POINTS ) simplify: \/ \'/ \/ \/ \/ \/ \/ \/ \

( 25 POINTS ) simplify: \/ \'/ \/ \/ \/ \/ \/ \/ \

Answers

Answer:

-17/12

Step-by-step explanation:

║5/6 - 7/12║- ║5/3║

= ║10/12 - 7/12║ - ║5/3║

= ║3/12║- ║5/3║

= 3/12 - 5/3

= 3/12 - 20/12

= -17/12

A bag contains 8 counters labeled with the numbers 3, 4, 4, 5, 5, 6, 6, and 6. Select all of the true statements The probability of drawing a 2 is 0. The probability of drawing a 7 is 1. The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5. The probability of drawing a 3 or a 6 is 12 . The least likely number to draw is 4.

Answers

The true statements are, The probability of drawing a 2 is 0 and  The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

What is probability?

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here the given , Total number of outcomes = N {3,4,4,5,5,6,6,6} = 8

Now probability = No of Favorable outcome/ Total outcome.

Here Option A , Number of 2 = 0.

Then probability of getting 2 = 0/8 = 0.

Option B, Number of 7 = 0

Then probability of getting 7 =0/8 = 0

Option C , Number of 5's = 2

probability of getting 5 = 2/8 = 1/4

Number of less than 5 = 3

Probability of getting less than 5 = 3/8

Here 1/4 > 3/8 . Then The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

Option D, Here least number in given is 3 not 5.

Hence the true statements are, The probability of drawing a 2 is 0 and The probability of drawing a number 5 or greater is greater than the probability of drawing a number less than 5.

To learn more probability refer the below link

https://brainly.com/question/13604758

#SPJ1

the exact value of sin 5pi/12 is

Answers

The exact value of sin(5π/12) is (√6 + √2)/4

Calculating the exact value of sin 5pi/12

From the question, we have the following parameters that can be used in our computation:

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

Read more about trigonometry function at

https://brainly.com/question/24349828

#SPJ1

The exact value of sin 5π/12 is (√6 + √2)/4

What is trigonometric function?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

learn more about trigonometric functions from

https://brainly.com/question/25618616

#SPJ1

Y=x^2 - x - 3, y=-3X + 5. What are the solutions Of this system of equations?

Answers

Answer: \((x,y)=\{(-4,17), (2,-1) \}\)

Step-by-step explanation:

\(x^2 -x-3=-3x+5\\\\x^2 +2x-8=0\\\\(x+4)(x-2)=0\\\\x=-4, 2\\\\x=-4 \longrightarrow y=17\\\\x=2 \longrightarrow y=-1\\\\\therefore (x,y)=\{(-4,17), (2,-1) \}\)

I need help with this PLEASE!!!

I need help with this PLEASE!!!

Answers

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

I need help with this PLEASE!!!

A bus holds 39 passengers. How many buses will 420 people need​

Answers

Answer:

11 buses

Step-by-step explanation:

Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer with 4 digits after the decimal.)

Answers

Transform Y to Z, which is distributed N(0, 1), using the formula

Y = µ + σZ

where µ = -16 and σ = 1.21.

Pr[-15.043 < Y ≤ k] = 0.1546

Pr[(-15.043 + 16)/1.21 < (Y + 16)/1.21 ≤ (k + 16)/1.21] = 0.1546

Pr[0.791 < Z ≤ (k + 16)/1.21] ≈ 0.1546

Pr[Z ≤ (k + 16)/1.21] - Pr[Z < 0.791] = 0.1546

Pr[Z ≤ (k + 16)/1.21] = 0.1546 + Pr[Z < 0.791]

Pr[Z ≤ (k + 16)/1.21] ≈ 0.1546 + 0.786

Pr[Z ≤ (k + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (Φ(x) denotes the CDF itself):

(k + 16)/1.21 ≈ Φ⁻¹ (0.940) ≈ 1.556

Solve for k :

k + 16 = 1.21 • 1.556

k-14.118

Hurry please I will give brainly need this in about 15 mins help me help meee

Hurry please I will give brainly need this in about 15 mins help me help meee

Answers

Answer:

x = -2

Step-by-step explanation:

The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.

Using the above information, we can construct the equation:

3x + 2 = 2x

and solve it for x.

x = -2

The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.

True or false question please help :)

True or false question please help :)

Answers

Answer:

True

Step-by-step explanation:

:D

Can someone help? I don’t know the equation to use and how to solve. Thank you!! Anything will helps!

Can someone help? I dont know the equation to use and how to solve. Thank you!! Anything will helps!

Answers

Answer:

\(x=55\\\)

Step-by-step explanation:

this is because the angles in a right angle should add up to 90

x is simplified to 2x and 20 is added to both sides

2x = 110

divide by 2 on both sides answer is 55

double check by doing the inverse

The triangle above has the following measures.
s = 29 m
r= 63 m
Find the m/Q.
Round to the nearest tenth and include correct units.
Show all your work.

The triangle above has the following measures.s = 29 mr= 63 mFind the m/Q.Round to the nearest tenth
The triangle above has the following measures.s = 29 mr= 63 mFind the m/Q.Round to the nearest tenth

Answers

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

Learn more about right-angle triangle here:

brainly.com/question/31203729

#SPJ1

A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.

Answers

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Find the volume of a pyramid that has a rectangular base that is 12 inches 10 inches and a vertical height of 9 inches.

Answers

6 inches is the answer because it’s all you need

Evaluate the definite integral of sin^5(x)dx from 0 to pi/2.

Answers

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

Consider this equation. cos(0) = 4√47/41.
If 0 is an angle in quadrant IV, what is the value of sin(0)

Answers

Therefore, sin(0) = -√305/41 when 0 is an angle in quadrant IV.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the study of relationships between the angles and sides of triangles. It is used to solve problems in many fields, including engineering, physics, astronomy, and architecture. Trigonometry involves the use of functions such as sine, cosine, and tangent to relate the angles and sides of a right triangle. It also includes the study of trigonometric identities, equations, and graphs, as well as applications of trigonometry in real-world situations.

Here,

If 0 is an angle in quadrant IV, then cosine is positive and sine is negative. We can use the Pythagorean identity to find the value of sin(0):

sin²(0) + cos²(0) = 1

sin²(0) = 1 - cos²(0)

sin(0) = -√(1 - cos²(0))

substituting the given value of cos(0):

sin(0) = -√(1 - (4√47/41)²)

sin(0) = -√(1 - (16*47/41))

sin(0) = -√(1 - 736/41)

sin(0) = -√(305/41)

sin(0) = -(√305)/√(41)

To know more about trigonometry,

https://brainly.com/question/29002217

#SPJ1

Determine the surface area and volume. Note: The base is a square.

Determine the surface area and volume. Note: The base is a square.

Answers

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

A camp needs 900kg of food for 40 campers to last for 20 days. For how many days, will 540 kg of food last for 30 campers?

Answers

Answer:

The food will last for 16 days

Step-by-step explanation:

Proportions

We need to know how the variables depend on each other.

It's clear that:

The more campers, the more food the camp needs.

The more time, the more food the camp needs.

Therefore, the amount of food (F) is directly proportional to the number of campers (c) and the time (t).

This can be written as:

F = k.c.t

Where k is a constant that we'll be found by knowing the camp needs F=900 Kg of food for c=40 campers and t=20 days:

900 = k*40*20=800k

Thus:

k=9/8

And:

F = 9/8 c.t

We now need to find how many days will F=540 kg of food will last for c=30 campers. So we solve the equation for t:

t = 8/9 * F/c

t = 8/9 * 540/30

t = 16 days

The food will last for 16 days

Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)

Suppose that the function g is defined, for all real numbers, as follows. Find g(-5) ,g (-2), and g(-1)

Answers

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

Learn more about Function here

https://brainly.com/question/17602515

#SPJ1

Anne made a recipe for a miniture bread loaves that called for 7/8 of a cup of whole-wheat flour. If the recipe made 7 equal sized loaves of bread, how many cups of whole-wheat flour did each loaf contain​

Answers

Answer:

1/8  cups

Step-by-step explanation:

All you have to do is divide 7/8 and 7.

Let's do the problem together! :)

7   ÷   7   =  1

8        1   =  8

And this is the work!

Hope this helped!  :)

Point b is at (1,1) on a graph. transformed using matrix A

Point b is at (1,1) on a graph. transformed using matrix A

Answers

In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

How is this so?

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

Learn more about matrix:
https://brainly.com/question/29132693
#SPJ1

What is the distance between the following points?

What is the distance between the following points?

Answers

Answer:

D. d = \(\sqrt{58}\)

Step-by-step explanation:

Use the distance formula: d = \(\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }\)

The two points are (6, -2) and (3, -9)

Plug the values into the formula:

d = \(\sqrt{(3 - 6)^{2}+ (-9 + 2)^{2} }\)

Simplify

d = \(\sqrt{(-3)^{2}+ (-7)^{2} }\)

d = \(\sqrt{9+ 49 }\)

d = \(\sqrt{58}\)

I hope this helps :))

Other Questions
A wire transfers 15.0 C. How many electrons pass through the wire? What feature of medieval life is reflected in the passage?O the Pope's authorityO society's class distinctionsO the rule of a monarchO new Biblical translations Identify the y intercept of the line? AWhich types of reliability can be analyzed with scatterplots? O All types of reliability O Internal reliability and test-retest reliability O Internal reliability and interrater reliability O Interrater reliability and test-retest reliability When did most nations in southeast asia gain independence from western powers?. An italian physician, __________, challenged the concept of spontaneous generation by demonstrating that maggots do not arise from decaying meat but rather from developing fly eggs. Ms. Harlow had 56 tickets. She gave 2 tickets to each of her 21 students.Which set of equations shows how many tickets Mrs. Harlow had left?21 x 2 = 42OA)56 - 42 = 1456 - 21 = 35)35 - 2 = 3321 x 2 = 42OC)56 + 42 = 9856 - 21 = 35OD)35 + 2 = 37 Why is the Legislative Branch the most important Branch of Government? 2x + 4 - x = 2 please solve the solution and show how in a recent edelman study on employee engagement, which of the following subjects was not listed as a management priority? In a lake, the population of a particular fish species is about 1 million. Fish reproduce by 20% of the population each month, regardless of the season. In addition, fish die naturally after living for an average of 10 months. There are two separate companies (for example, A and B) fishing with 5 boats on the edge of this lake. According to current data, each boat catches 5000 fish per month. However, if the total number of boats caught in the lake increases, the number of fish to be caught by each boat decreases, as the boats will prevent each other from fishing. In addition, if the fish population in the lake increases, the fish caught per boat increases, and if the population decreases, the fish caught per boat decreases. As companies earn money from hunting, they want to buy new boats over time and enlarge their boat fleet.1. If you want to model this described system with 'System Dynamics', which variables would you use? How would you classify these variables as stock, flow and dummy variables?2. Indicate the causal relationships in this system with arrows and signs.3. Show the causality loops in this system, at least 1 negative, at least 1 positive, and at least 4 in total, and interpret the loops.4. Draw the stock-flow model of this system.5. Write down the equations (as much as possible) of the model you have drawn above.6. Assuming the number of boats of the companies and the number of fish caught by each of the boats are constant, is the system in equilibrium? If not, in what direction is the system changing? which statement is false? group of answer choices two beta subunits form a circular clamp around nucleic acid. one catalytic core of dna polymerase iii is associated with each template strand. there are two copies of the clamp loader (gamma/delta complex) in the dna pol iii holoenzyme. a clamp loader places two beta subunits onto a dna:rna hybrid. I definitely need help.Read the excerpt below.Competition between great nations is inevitable, but armed conflict in our world is not. More and more, civilized nations find ourselves on the same side -- united by common dangers of terrorist violence and chaos. America has, and intends to keep, military strengths beyond challenge -- (applause) -- thereby, making the destabilizing arms races of other eras pointless, and limiting rivalries to trade and other pursuits of peace. George W. BushWest Point Speech June 1st, 2002Which conclusion can be drawn about President Bush from this statement?A. He believes in the United States maintaining its role as a superpower to secure world affairs.B. He believes that with the help of other countries the terrorists can be defeated.C. He believes that the United States no longer needs to maintain a powerful military.D. He believes that effective diplomacy is the most important strategy for success in world affairs. How might the people who made this painting differ from the Pueblo people of the American Southwest?A.They settled in woodland communities and hunted and gathered for food.B.They lived in mesa-top villages and survived by farming and herding livestock.C.They built large communal dwellings on the coast where they fished and traded.D.They were nomadic and hunted the animals on the open plains for food. the people of the dust bowl classified them into two groups; the more severe were called _________________________. I will mark brainliest!At which stage does an argumentative essays writer create and support a central claim?A. outliningB. prewritingC. revisingD. drafting 1 1/4 times 5 3/5 whats the answer in fractions life in the countryside isn'as stressful as life in city life in the city is more why do the rungs of the DNA ladder seem broken? conclusion about social media