Based on your understanding of the ideas of external consistency and fruitfulness, which of the following statements best describes the relevance of these ideas to the acceptance of hypotheses?
1. A fruitful hypothesis is considered stronger because fruitful hypotheses are always externally consistent with previously held theories
2. A fruitful hypothesis is considered stronger because fruitful hypotheses promote scientific progress by revealing new avenues of research and analysis
3. An adequate theory is always a fruitful theory
4. AB internally coherent theories are fruitful.
Which of the following scenarios best demonstrates the idea of fruitfulness?
1. The fundamental rules of quantum mechanics were established during the first half of the twentieth century by numerous scientists to deal with atomic and subatomic systems. Today, quantum mechanics provides the underlying mathematical framework of many fields of physics, including condensed matter physics, solid state physics, and nuclear physics
2. While both Einstein's theory of general relativity and quantum theory are indisputably supported by empirical evidence, scientists have as yet been unable to incorporate both of them within one cohesive model
3. The predictions of quantum mechanics correspond to the predictions of the classical theories of physics when the quantum theory is used to describe the behavior of systems that can be successfully described by classical theories
4. Ordinantly, quantum mechanics is used to describe the behavior of bodies that are so smal that they cannot be seen under an optical microscope, while the theories of classical physics we used to analyze the behavior of large-scale bodies.

Answer:

We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Please mark as brainliest.

Answer:

E. 16

Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

Perimeter of square = 4(x+3)

We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

5x = 5

Now we divide both sides by 5 to get:

5x/5 = 5/5

x = 1

Now we can use this value to figure out the perimeter of the triangle:

P = 9x + 7

x=1, substitute into equation:

P = 9(1) + 7

P = 16

Hope this helped!

Answer:

The answer is 65

Step-by-step explanation:

Formula for triangle: b x h x 1/2

base= 13cm  height= 10cm

13 x 10 x 1/2 =65

The area of the green triangle is 65.

Answer:

5 stick lengths

Step-by-step explanation:

The question is not structured well. However, the following can be deduced

[tex]Wire = \frac{5}{8}yd[/tex]

[tex]Stick = \frac{1}{8}yd[/tex]

Required

How many of the stick length can be gotten from the wire length

To do this, we simply divide the length of the wire by the length of the stick.

So, we have:

[tex]Number = \frac{Wire}{Stick}[/tex]

[tex]Number = \frac{5/8yd}{1/8yd}[/tex]

[tex]Number = \frac{5/8}{1/8}[/tex]

Using a calculator, we have:

[tex]Number = 5[/tex]

Answer:

The 3rd one

Step-by-step explanation:

Answer:

The real answer is 1 hour and 8 minutes

Step-by-step explanation:

You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:

Answer:

[tex]-\frac{1}{9}[/tex]

Step-by-step explanation:

between (1, 9) and (10, 8), the x moves by 9 and y moves by -1

The slope is equal to: [tex]\frac{\Delta y}{\Delta x} = \frac{-1}{9} = -\frac{1}{9}[/tex]

Answer:

-1/9

Step-by-step explanation:

plug in the slope formula:

y-y

-----

x-x

=9-8

-------

1-10

=-1/9

Answer Is 5/3 20/12 3 1/3 / 2 8 1/3 / 5

Answer:

?=24

Step-by-step explanation:

12=?

13  26

solve for ?

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

Answer: (a)

Step-by-step explanation:

Given

angle is [tex]270^{\circ}[/tex]

Sine and cosine at this angle is

[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]

Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]

[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]

The same thing is depicted by option (a)

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ5

Here is the explanation I wrote on the paper. ASK QUESTIONS IN THE COMMENTS! I absolutely LOVE answering questions, and you understanding what I mean in my answer means the world to me.

Answer:

3x²+5x

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

The solution is, The equation the line is, x =2

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (2,4) and, (2,-7)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x-2)=(-7-4)/(2-2)

=>0 = x-2

=>x =2

Hence, the required equation is,  x =2

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ7

Answer:

A.)

Step-by-step explanation:

This is my answer :)

Answer:

8600 litre×235 will be there in the tanks

Answer:

6 friends can share the pizza

Step-by-step explanation:

1 1/2 ÷ 1/4 =6

Answer:

Divide 1 1/2 by 1/4. Note that 1 1/2 = 1 2/4 = 6/4. So now we divide 6/4 by 1/4, obtaining 6.

6 friends can enjoy an equal share.

Answer:

Option C)√72 will be your answer

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

hope it helps...

have a great day!!

Answer:

these are some latex code , paste it in keyboard and see how it looks

Answer:

In order to make it easier for you to understand and helps in making problems more easier and faster to do

Answer:

Option C

Step-by-step explanation:

If two triangles are congruent then their corresponding sides and angles are congruent.

[tex]---------------[/tex]

hope it helps you..

have a great day!!

Answer:

option c is correct answer of this question

hope it helps

Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

Answer:

hello your question is incomplete below is the complete question

verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??

answer :  attached below

Step-by-step explanation:

Attached below is the required verification of the conclusion of Green's Theorem

In the attached solution I have  proven that Green's theorem ( ∫∫c F.Dr ) .

i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2

Answer:

Option A.

Step-by-step explanation:

Angle APF is equal to angle GPB because of vertically opposite angles. When two lines straight lines cross each other, the opposite angles are equal.

Answer:

1,810 hope this helps ;)

Answer:

1810

Step-by-step explanation:

lol, did I get trolled?

Answer:

the answer is D, im doiing the flocab rn

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 -2.95 = 7.05

the scarf cost $ 7.05

Answer:

4456646

Step-by-step explanation:

its that bc we add

Answer:

Difference in large and small numbers, higher or smaller value.

Answer:

The range is the difference between the largest and smallest numbers. If you are talking in math.

Example 1: 1, 2, 5, 6, 7

so the smallest number is 1 and the largest number is 7 so 7-1=6

The range is 6.

Example 2: 16, 19, 10, 17, 42

now we have a data set that is not in order. First step is to order them:

10, 16, 17, 19, 42

Next take the smallest and largest number and subtract them: 42-10=32

The range is 32.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

Step-by-step explanation:

Just post a pic of the page

Answer:

a) We reject H₀     We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference  ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size     n₁  =  42

Sample mean   x₁  =  3,2

Sample standard deviation  s₁  =  2,3

Group 2: With exercises with the treatment of individuals

Sample size    n₂   =  42

Sample mean    x₂  = 5,2  

Sample standard deviation   s₂  = 2,3

Test Hypothesis

Null Hypothesis                     H₀           x₂  -  x₁  = 0  or    x₁  =  x₂

Alternative Hypothesis         Hₐ           x₂  -  x ₁ > 0  or    x₂  >  x₁

Significance level  α  = 0,01

Sample sizes are n₁  =  n₂  >  30

We use z-test

for α  = 0,01     z(c)  ≈  2,32

To calculate z(s)

z(s)  =  (  x₂  -  x₁ ) / √ (2,3)²/42  + (2,3)²/42

z(s)  = ( 5,2  -  3,2 )/ √0,2519

z(s)  =  2 / 0,5

z(s) = 4

Comparing  z(s)  and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) =  x₂ - x₁ / 0,5

z(s) =  1 /0,5

z(s) = 2

Comparing z(s) and z(c)  now

z(s) < z(c)        2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀  equivalent to say that the two groups statistical have the same mean