Ruth has a street lamp in front of her house, represented by AB . Her mom insists that at night she only plays within its light. If AB = 54,

Answer:

Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.

Answer:

Darwin's theory of evolution

Charles Darwin developed a theory of evolution to explain the unity and diversity of life, based on the idea of shared common ancestors.

Natural selection

Darwin's theory was based on the mechanism of natural selection, which explains how populations can evolve in such a way that they become better suited to their environments over time.

Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.

Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.

Natural selection acting on mice population over time.

Individuals have variations within their heritable traits. Some variations make an individual better suited to survive and reproduce in their environment.

If this continues over generations, these favorable adaptations (the heritable features that aid survival and reproduction) will become more and more common in the population.

The population will not only evolve (change in its genetic makeup and inherited traits), but will evolve in such a way that it becomes adapted, or better-suited, to its environment.

Artificial selection

There are other types of selection, in addition to natural selection, that are out there in the world.

Artificial selection, also called "selective breeding”, is where humans select for desirable traits in agricultural products or animals, rather than leaving the species to evolve and change gradually without human interference, like in natural selection.

A timeline showing how dogs became domesticated over a long period of time due to artificial selection.

A timeline showing how dogs became domesticated over a long period of time due to artificial selection.

Dog breeding is a perfect example of how humans select for desirable or fashionable traits. Breeders deliberately mate parents with the hope of producing offspring with specific traits (such as color, size, ear shape, snout length, and so on).

Common mistakes and misconceptions

Evolution is not the same as adaptation or natural selection. Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment.

Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits. For example, a rabbit can't choose to have a different fur color. Rather, a genetic mutation causes a difference in fur color, which may help that rabbit hide better in its environment.

Natural selection acts on existing heritable variation. Natural selection needs some starting material, and that starting material is heritable variation. For natural selection to act on a feature, there must already be variation, and that variation must be able to be passed on to offspring.

Natural selection depends on the environment. Natural selection doesn't favor traits that are somehow inherently superior. Instead, it favors traits that are beneficial in a specific environment. Traits that are helpful in one environment might actually be harmful in another.

Step-by-step explanation:

4.b.

Answer:  See below.

Step-by-step explanation:

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

Solving the equation explicitly for y and differentiating we get y' = -1/(x - 1)²

Differerentiation is the process of finding the derivative of a function.

Since we have the equation 1/x + 1/y = 1, to solve explicitly for y, we make y subject of the formula.

So, 1/x + 1/y = 1

1/y = 1 - 1/x

y = 1/(1 - 1/x)

To find y', we differentiate y with respect to x.

So, y' = dy/dx

= d[1/(1 - 1/x)]/dx

Let u = 1 - 1/x  

So,y' = d(1/u)/dx

= d(1/u)/du × du/dx

Now,

So, substituting these into dy/dx, we have that

y' = = d(1/u)/du × du/dx

= -1/u² × 1/x²

= -1/(ux)²

= -1/[(1 - 1/x)x]²

= -1/(x - 1)²

So, y' = -1/(x - 1)²

Learn more about differentiation here:

https://brainly.com/question/29428782

#SPJ1

Answer: I believe the answer is M= -4

Step-by-step explanation:

A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

To know more about linear programming,

https://brainly.com/question/29405467

#SPJ4

Answer:

it could be linear, or an increasing line

Answer:

25 days

Step-by-step explanation:

If 6 men each work for 5 hours a day:  6 x 5 = 30 hours of work per day

If it takes them 50 days to build the house, then 30 x 50 = 1500 hours work in total to build the house.

If 10 men are working 6 hours a day each:  10 x 6 = 60 hours of work per day.

So 1500 ÷ 60 = 25 days

Therefore, it would take 10 men 25 days to build a house if they were each working 6 hours per day.

Answer: 3.5 pounds

Step-by-step explanation:

3 s   + 7 h = 32        s = shoes   h= hand grenades

6 s   + 2 h = 22        Multiply first equation by -2   and add to second equation to get :

-12 h = -42

h = 3.5 pounds

sorry if this was late

sorry for bad picture

Step-by-step explanation:

hope it helps you have a great day keep smiling be happy stay safe

ΔACD ≅ ΔECB by SAS rule

Given,

In the question:

In a diagram

Two triangles are given as

ΔACD and ΔECB

BC ≅ CD and ∠CAE ≅ ∠CEA

To prove that ΔACD ≅ ΔECB

Now, According to the question:

To prove by SAS rule:

∠CAE ≅ ∠CEA

AC = CE

∠C = ∠C (Common angle)

BC ≅ CD

Hence,  ΔACD ≅ ΔECB by SAS rule .

Learn more about Triangles at:

https://brainly.com/question/25813512

#SPJ1

Answer:

x=9+/-2i√3/2

Step-by-step explanation:

Answer:

\(\frac{\sqrt{17} }{9}\)

Step-by-step explanation:

a^2 +b^2 =c^2 Use pythagorean theorem

8^2 +b^2 =9^2 Substitute in your known values

b=\(\sqrt{17} , -\sqrt{17}\)

b=\(\sqrt{17}\) A triangle leg cannot be a negative length

\(\frac{\sqrt{17} }{9}\) Find cosine of angle theta.

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

To know more about cell frequencies,

https://brainly.com/question/30482788

#SPJ11

This restricted portion of the fundamental niche that Chthamalus can effectively utilize in the presence of competition is referred to as its realized niche.

The weaker competitor is forced to retreat to a more restricted niche (its realized niche) than it would inhabit in the absence of the competition when interspecific interactions result in competitive exclusion.

For Chthamalus, a typical intertidal barnacle animal categories, its key specialty alludes to the full scope of ecological circumstances and assets it is hypothetically fit for taking advantage of without rivalry. Chthamalus would occupy its entire fundamental niche in the absence of competition.

However, Chthamalus is outcompeted and forced to withdraw from a portion of its fundamental niche when competing with a stronger competitor, such as Balanus, the dominant barnacle species. This limited part of the essential specialty that Chthamalus can actually use within the sight of contest is alluded to as its acknowledged specialty.

To know more about hypothetically refer to

https://brainly.com/question/30723569

#SPJ11

Answer:

190 goats

33 cows

70 chickens

The sampling distribution approaches a Normal distribution as the sample size becomes larger.

The normal distribution is a probability distribution that is symmetric about the mean, demonstrating that data closer to the mean occur more frequently than data further from the mean.

Regardless of the distribution of the population, the central limit theorem (CLT) states that as the sample size increases, the distribution of sample means approximates a normal distribution.

A population's characteristics can be accurately predicted with a sufficient sample size. CLT is useful in finance for estimating portfolio distributions and characteristics for returns, risk, and correlation when analyzing a large number of securities.

Learn more about the sampling distribution of the sample here:https://brainly.com/question/13873476

#SPJ4

The values of ;

angle C = 74°

segment b = 24.0

segment c = 24.5

The Law of sines gives a relationship between the sides and angles of a triangle.

Sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

Where, a, b, c are the lengths of the sides of the triangle and A, B, and C are their respective opposite angles of the triangle.

angle C = 180-( 36+70)

angle C = 180- 106

= 74°

a/sinA = b/sinB

= 15/sin36 = b/sin70

15sin70 = bsin36

14.1 = 0.588b

b = 14.1 /0.588

b = 24.0( nearest tenth)

c/sinC = a/sinA

c/sin74 = 15/sin36

0.588c = 14.4

c = 14.4/0.588

c = 24.5 ( nearest tenth)

learn more about sine rule from

https://brainly.com/question/20839703

#SPJ1

Answer:

The chance of her selecting a Cocert shirt are 12/30 which means therw is more probability she would choose at least one and the least probability to choose a Team sirt since the odds are 8/30 so it is expected she would select 4 concert shirts not 3, at lest for me.

Answer:

C

Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

C is the correct answer since it can be expressed as a fraction which equals to 7/9.

Hope it helps:)

Answer:

A

Step-by-step explanation:

Pi is an irrational number so it can't be B.

√(5) is an irrational number so it can't be D.

It could be either A or C... Hm, go with A. Let me know if it works.

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

Answer:

Step-by-step explanation:

we can use multiplication of 10 with 5and 2 we know that 2x5=10

Hi there!

\(\large\boxed{t = 12.60 \text{ days}}\)

We can solve this by setting the equation equal to 150:

\(150 = \frac{230}{1 + 56.5e^-0.37t}\)

Cross-multiply and divide:

\(150 (1 + 56.5e^{-0.37t})= 230\)

Divide both sides by 150:

\(1 + 56.5e^{-0.37t} = 1.5333\)

Isolate for t by subtracting both sides by 1 and dividing by 56.5:

\(56.5e^{-0.37t} = 0.5333\)

\(e^{-0.37t} = 0.0094395\)

Take the natural log to solve for t:

\(ln (0.0094395) = -0.37t\)

\(-4.6628522 = -0.37t\)

Divide both sides by -0.37:

t = 12.60 days.

(V.O.A) means vertically opposite angle.

Answer:

THATS ONLY 35 points

Step-by-step explanation:

Answer:

its only 35 points but that's ok we all make mistakes

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In order to find the slope, you can use rise over run.

(y₂ - y₁) over (x₂ - x₁)

You can use the points (1, 1) and (2, -1). y₂ can be -1 and y₁ can be 1, but you could do either as long as you make x₁ and x₂ from the corresponding points (so y₁ and x₁ are one coordinate pair and y₂ and x₂ are the other). This way, you get -2 as your slope. Then, the table shows that y = 3 when x is 0, so that's your y-intercept, which is how you get +3. Hope this helps!

y = -2x + 3 will be the equation represents the data in the table shown.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, A data Set of the value of x and y that represents a linear equation.

From the slope intercept form of a linear equation,

y = mx + b,

where m is the slope

b is the y-intercept

y- intercept is point in line where the value of x will be 0.

From our data set,

y - intercept = b = 3 (since, at x = 0, y is 3)

And Slope, (m) = (y₂ - y₁)/(x₂ - x₁)

in our case,

m = (1-3)/(1-0)(from first two values of data set)

m = -2

Thus,

Equation of line:

y = -2x + 3

Therefore, The equation of line for the given data set will be y = -2x + 3.

Learn more about Linear equation here:

https://brainly.com/question/11897796

#SPJ2

Option B. It defines the joint probability as the probability of the intersection of two events.

A joint probability refers to the probability of two or more events occurring simultaneously. In other words, it is the probability that two or more events will occur together.

The joint probability of two events A and B is denoted as P(A ∩ B), which represents the probability of the intersection of events A and B. This is the probability that both A and B occur at the same time.

For example, if we toss a coin and roll a dice, the probability of getting heads on the coin and a 4 on the dice would be the joint probability of these two events occurring together. This joint probability can be calculated by multiplying the probability of getting heads (1/2) and the probability of rolling a 4 (1/6), giving a joint probability of 1/12.

Therefore, option (b) is the correct answer, as it defines the joint probability as the probability of the intersection of two events.

To learn more about joint probability please click on below link.

https://brainly.com/question/27098956

#SPJ1