H ∪ K is a normal subgroup of G for all normal subgroups H, K of
every group G

Common resources are those that are available to everyone and not owned by any individual or group. Examples include air, water, fish in the ocean, and even public parks. Since no one owns them, there is no direct incentive for any individual to conserve or protect these resources.

In fact, the opposite is often true - individuals may feel that they have a right to use these resources as much as they want, leading to overuse and overconsumption. This is known as the tragedy of the commons, where individuals act in their own self-interest, leading to the depletion of a shared resource. To avoid this, it is important to have regulations and policies in place to encourage responsible use of common resources and prevent overuse and overconsumption.

The answer is A) True
Common resources refer to natural or man-made resources that are not individually owned but are available to everyone in a community. Since these resources are not owned by any specific person or organization, there is a lack of control and regulation over their use. This lack of ownership creates an incentive for people to overuse and overconsume these resources, as individuals may want to take advantage of the resources before others do.

This overuse and overconsumption can lead to depletion or degradation of the common resources, making them less available or useful for future generations. In order to prevent this outcome, it is essential to implement proper management and conservation strategies that help maintain the sustainability and accessibility of these shared resources for all users.

Learn more about overuse at : brainly.com/question/24183535

#SPJ11

Quadrilateral ABCD is identical with quadrilateral A<->W B<->X C<->Y and D<->Z.

Let us consider two identical quadrilaterals, ABCD and A' B' C' D', where each vertex of the first quadrilateral is mapped to a corresponding vertex of the second quadrilateral by a certain transformation. Specifically, vertex A is mapped to vertex W, vertex B is mapped to vertex X, vertex C is mapped to vertex Y, and vertex D is mapped to vertex Z.

Without more information about the nature of the transformation, it is difficult to say much about the quadrilaterals or their properties. However, some general observations can be made

Hence, we can also add information about the transformation or the quadrilaterals in this type of problem.

The given question is incomplete.

The complete question is "How can we say that the quadrilateral ABCD and quadrilateral WXYZ is identical"

To know more about Quadrilateral here

https://brainly.com/question/22483049

#SPJ4

Answer:

1.4000

2.5.551

3.6.8

4.10.00

5.4

Step-by-step explanation:

1 4066 as an example start from the end a 5 or more it turns to a zero and the one next to it

so in this case we now have 4100 but since it isn't 5 or more we make it a zero and move on so now we have 4000

sorry if I am wrong I am also an idiot so hopefully this helps for the future :)

Answer:

\(a_6 = 6\)

Before finding the 6th term, you must find the 4th term, which is 12.

Sequence

21; 18; 15; 12; 9; 6; 3; 0

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)

Answer:

\(y=8x\)

Step-by-step explanation:

We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:

\(y = mx\)

where \(m\) is the ratio of x to y.

This ratio is also known as the line's slope. We can solve for the slope using the equation:

slope = rise / run

slope = \(\Delta\)y / \(\Delta\)x

slope = 8 / 1

slope = 8

\(m=8\)

So, the equation of the line is:

\(y=mx\)

\(\boxed{y=8x}\)

The higher the value of Cronbach's alpha, the higher the internal consistency reliability of the assessment.

A measurement of internal consistency that allows researchers to determine how well the different items/questions within a test measure different aspects of the same topic is known as reliability.

Reliability refers to the consistency of the results of an assessment. In other words, it refers to the extent to which an assessment yields stable and consistent results. Researchers use various methods to assess the reliability of an assessment.

These include test-retest reliability, inter-rater reliability, and internal consistency reliability.

In this case,

The internal consistency reliability is the method that allows researchers to determine how well the different items/questions within a test measure different aspects of the same topic.

Internal consistency reliability is a method that measures the consistency of the results of an assessment by examining the relationships among the different items/questions within the assessment. It looks at the degree to which the items/questions within an assessment measure the same thing or construct.

If the different items/questions within an assessment are measuring the same thing, then the assessment is said to have high internal consistency reliability. If the items/questions are measuring different things, then the assessment is said to have low internal consistency reliability.

Researchers use various statistical methods to assess internal consistency reliability. One of the most common methods is Cronbach's alpha, which measures the degree to which the items/questions within an assessment are correlated with each other.

The higher the value of Cronbach's alpha, the higher the internal consistency reliability of the assessment.

For similar question on reliability :

https://brainly.com/question/30154360

#SPJ11

Answer:

5

Step-by-step explanation:

If you use the quadratic formula you get -8 and 5 the answer is either of these.

It takes the rocket Response area 5 seconds to hit the ground.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Given that rocket blasted through the air and followed the path, g(x)=−2x²− 6x + 80 .

Consider that g(x) be the height of the rocket after x seconds.

So,

−2x²− 6x + 80 = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = -2, b = -6 and c = 80

b² - 4ac = (-6)² - 4(-2)(80)

= 36 + 640

= 676

So, x = [-(-6) ± √676]/ 2(-2)

= [-(-6) ± 26]/ 4

x = -5 and 8

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

To learn more about derivative visit:

https://brainly.com/question/30403647

#SPJ4

Answer:

C.

Step-by-step explanation:

A has 8 lines of symmetry, because they're all the same.

B has 4 lines of symmtery because those are all the same

C has only 2 because the vertical lines are symmetrical to each other, but not to the horizontal lines

D has 10 symmetrical lines because they're all the same

Answer:

Measure of ∠A = 60.07°

Step-by-step explanation:

From the figure attached,

ΔABC is a right triangle,

Measure of side AC = 15 units

and measure of side BC = 13 units

By applying Sine rule in this triangle,

SinA = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

Opposite side of angle A = Side AC

and hypotenuse of the triangle = Side BC

SinA = \(\frac{13}{15}\)

    A = \(\text{Sin}^{-1}(\frac{13}{15})\)

    A = 60.07°

Therefore, measure of angle A is 60.07°.

Answer:60. You have to round up

Step-by-step explanation:

Answer:

y = x + 5

Step-by-step explanation:

Perpendicularity: Slope is the opposite reciprocal. In this case with it being -1 aka -1/1, the slope will be 1 aka 1/1

Find the opposite reciprocal of the slope

m = -1 = -1/1

so,

m⊥ = 1 as the opposite reciprocal is 1/1

2 - Plug the new slope into y = mx + b

y = mx + b

y = 1x + b

y = x + b

3 - Plug the point values in replacing x and y to get alone and solve for the y intercept, b.

 y = x + b

-4 = -9 + b

+9  +9

5 = b

4 - Plug into the values into y = mx + b all together

y = mx + b

y = 1x + 5

y = x + 5

Hope this helps :)

Answer:

54 and 36

Step-by-step explanation:

when we add 54 and 36 we get 90 and when we subtract 54 from 36 we get the difference 18

Answer:

54 and 36

explanation

Answer:

20

Step-by-step explanation:

alternate angles of two parallel lines WX and ZY

Answer:

20!

Step-by-step explanation:

The attached figures represent the transformations of the triangle ABC

From the figure, the coordinates of the triangle ABC are:

A =  (-2, 3)

B = (0, 2)

C = (3, 4)

Next, we carry out the required transformations on the above coordinates of the triangle ABC

The rotation

Here, we rotate the triangle 90 degrees clockwise across the origin

The rule of this transformation is:

(x, y) = (y, -x)

So, we have:

A' =  (3, 2)

B' = (2, 0)

C' = (4, -3)

See figure (1) in the attachment for the graph of the rotation transformation

The translation

Here, we translate the triangle up by 3 units

The rule of this transformation is:

(x, y) = (x, y + 2)

So, we have:

A' =  (-2, 5)

B' = (0, 4)

C' = (3, 6)

See figure (2) in the attachment for the graph of the reflection transformation

The reflection

Here, we reflect the triangle across the y-axis.

The rule of this transformation is:

(x, y) = (-x, y)

So, we have:

A' =  (2, 3)

B' = (0, 2)

C' = (-3, 4)

See figure (3) in the attachment for the graph of the reflection transformation

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

(a) The probability that a randomly chosen nucleotide from the first region is the same as a randomly chosen nucleotide from the second region is 1/4.

(B) The chance that the triple chosen from the first region will be identical to the triple chosen from the second region is 1/4096.

(a) If we assume that there are four possible nucleotides (A, C, G, T) and that each nucleotide is equally likely to occur in each region, then the probability that a randomly chosen nucleotide from the first region is the same as a randomly chosen nucleotide from the second region is 1/4, since there is a 1 in 4 chance that the nucleotide chosen from the first region will be the same as the nucleotide chosen from the second region.

(b) If we again assume that there are four possible nucleotides (A, C, G, T) and that each nucleotide is equally likely to occur in each region, then the probability of choosing a particular three-nucleotide sequence is (1/4)³ = 1/64.

The probability of choosing the same three-nucleotide sequence from both regions is the product of the probabilities of choosing that sequence from each region, or (1/64) x (1/64) = 1/4096. Therefore, the chance that the triple chosen from the first region will be identical to the triple chosen from the second region is 1/4096.

Learn more about Nucleotide Probabilities: Single and Triple here:

https://brainly.com/question/25161031

#SPJ4

Answer:

\(x=\frac{8}{3}\)

Step-by-step explanation:

\(x-\frac{5}{3} =1\\\\x=\frac{8}{3}\)

Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

Answer:

18.19

Step-by-step explanation:

$ = linear f(t)

$16.03 = f(40) = fixed fee + per min fee = x + 40y

$19.72 = f(81) = fixed fee + per min fee = x + 81 y

use above 2 equations to minus the other

you get:

19.72-16.03 = 41y

so y = 0.09

so x = 16.03 - 40*0.09 =12.43

so for 64 mins

cost = 12.43 + 0.09*64 =18.19

Answer:b

Step-by-step explanation:

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

Answer:

the answer should be c my one wasc

x = 1/2 × 68

  = 34

That's the rule just its half also y is the same thing while x and y are looking at the same arc

:>

According to the question the total number of problems in the packet their coach gave them is 108.

Let the number of problems in the packet be denoted by \(\( P \).\)

Ben took \(\( x \)\) days to finish the packet, Annie took \(\( (x + 4) \)\) days, and Claire took \(\( (x - 2) \)\) days.

Setting up the equations:

Ben's equation: \(\( xy = P \)\)

Annie's equation: \(\( 6(x + 4) = P \)\)

Claire's equation: \(\( 9(x - 2) = P \)\)

Solving for \(\( x \):\)

\(\( xy = 6(x + 4) \)\)

\(\( xy = 9(x - 2) \)\)

\(\( 6(x + 4) = 9(x - 2) \)\)

\(\( 6x + 24 = 9x - 18 \)\)

\(\( 3x = 42 \)\)

\(\( x = 14 \)\)

Substituting \(\( x = 14 \)\) into Annie's equation:

\(\( 6(x + 4) = P \)\)

\(\( 6(14 + 4) = P \)\)

\(\( 6(18) = P \)\)

\(\( P = 108 \)\)

Therefore, Ben took 14 days to finish the packet, and the total number of problems in the packet is 108.

Therefore, the total number of problems in the packet their coach gave them is 108.

To know more about equation visit-

brainly.com/question/16944977

#SPJ11

The graph of an equation is the collection of all of its solution points.

Consider the function y=f(x). All the ordered pair ( a, b) such that b=f(a) is called the graph of the equation.

The solution set consists of all points whose y-coordinate is greater than or equal to 1.

These points are contained in the shaded region in the graph below. This kind of region is called a half-plane because it is one of two parts of the plane into which a boundary line divides it.

Therefore, the set of all solution points of an equation is the graph of the equation.

For more such questions on  graph equation

https://brainly.com/question/17995541

#SPJ4

The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7

Information from the question

the statement: -2/7 is at most the product of a number and -4/5

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

at most means the highest value hence the answer is either the number or less.

let the number be x

x * -4/5 ≤ -2/7

--4x/5 ≤ -2/7

Learn more about inequality:

brainly.com/question/29244324

#SPJ1

Answer:

12

Step-by-step explanation:

36 divided by 3 = 12

Hope This Helps

Answer:

39 or 12

Step-by-step explanation:

i got 39 by 36+3=39

i got 12 by 3 divided by 36= 12

Answer:

Inequality form:

x >2

Step-by-step explanation:

I pretty sure this is the answer.

Have a great day!