Jordan will hike the trail shown at a rate of 3 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?

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:

Answer:

x = -9 and x = 5

Step-by-step explanation:

\( {(x + 2)}^{2} + 1 = 50\)

\( = {x}^{2} + 4x + 4 + 1 = 50\)

\( = {x}^{2} + 4x + 5 = 50\)

\( = {x}^{2} + 4x + 5 - 50 = 0\)

\( = {x}^{2} + 9x - 5x - 45 = 0\)

\( = x \times (x + 9) - 5(x + 9) = 0\)

\( = (x + 9) \times (x - 5) = 0\)

\( = x + 9 = 0\)

\( x - 5 = 0\)

\( = x = - 9\)

\(x = 5\)

Answer:

$21

Step-by-step explanation:

9 + 12 = 21

Answer:

Shanice started with 21 dollars.

Step-by-step explanation:

You reverse what she did. So, that is 12+9.

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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To maintain the current capital structure, $6.67 million of the new investment must be financed by common equity.The total market value of Tysseland Company is $80 million, and the new investment is $10 million.

To maintain the capital structure, we need to find the portion financed by common equity. First, calculate the portion financed by debt:

Debt portion = Total market value - Common equity portion

Debt portion = $80 million - Common equity portion

Next, calculate the coupon payment on new bonds:

Coupon payment = New investment * Coupon rate

Coupon payment = $10 million * 7%

= $0.7 million

Since the new bonds are sold at par, the debt portion financed by new bonds is equal to the coupon payment:

Debt portion financed by new bonds = $0.7 million

Now, we can set up an equation to find the common equity portion:

$80 million - Common equity portion = $0.7 million

Common equity portion = $80 million - $0.7 million

= $79.3 million

Finally, subtract the existing common equity from the common equity portion to find the portion financed by common equity:

Portion financed by common equity = Common equity portion - Existing common equity

Portion financed by common equity = $79.3 million - $80 million = -$0.7 million .To maintain the current capital structure, $6.67 million of the new investment must be financed by common equity. The WACC cannot be determined without information on the cost of equity and the cost of debt.

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

bAnswer: the answers is most likely a because of the nomination

Step-by-step explanation:

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Step-by-step explanation:

x^3 +y^3 - (x + y)^3​

Expand the expression

x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)

Remove the parentheses

x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3

Remove the opposites

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Hope this Helps!

Answer:

complements of the same angle are congruent

Step-by-step explanation:

edge bro

The correct justification is complements of the same angle are congruent.

The angles whose sum is 90° are called complementary angles.

Given that, ∠CEF is complementary to ∠DCF, then ∠DCF ≅ ∠FEG, we need to justify this,

Angles are congruent if they have the same angle measure.

Angles are complementary if their sum = 90°

∠CEF is complementary to ∠DCF

∠CEF + ∠DCF = 90°

While ∠CEF & ∠FEG are also complementary

as ∠CEF + ∠FEG = 90°

∠CEF + ∠DCF  = ∠CEF + ∠FEG

∠DCF = ∠FEG

∠DCF ≅ ∠FEG

∠DCF & ∠FEG both are Complements of the ∠CEF

∵ Complements of the same angle are congruent.

Hence, correct justification is complements of the same angle are congruent.

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$540 is the sale price of the bicycle.

Multiplication is a method of finding the product of two or more numbers

Given that Kate wants to buy a new bicycle from a sporting goods store.

The bicycle she wants normally sells for $720

The store has a sale where all bicycles cost 3/4 of the regular price.

We have to find the sale price of the bicycle.

To find this we have to multiply 3/4 with 720

3/4×720

540

Hence, $540 is the sale price of the bicycle.

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Answer:

3/4 or 0.75

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

Given expression

Find its value using logarithm rules:

The rules used above:

The  numbers of cousins who are neither nieces nor aunts is 5.

To solve this problem, we first need to find out how many aunts are cousins. We're told that half of all aunts are cousins, and that there are 50 aunts, so there must be 50/2 = 25 aunts who are cousins.

Next, we need to find out how many cousins there are. we were not told that half of all cousins are nieces, and that there are 30 nieces, so there must be:

2*30 = 60 cousins in total.

We also know that 25 aunts are cousins, and 30 nieces are cousins, so there must be a total of:

25+30 = 55 people who are cousins and either aunts or nieces.

Finally, we can subtract this number from the total number of cousins to find the number of cousins who are neither nieces nor aunts. There are 60 cousins in total, and 55 of them are either aunts or nieces, so there must be:

60-55

= 5 cousins who are neither aunts nor nieces.

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Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

The size of the angle marked y correct to three significant figures is 26.6°.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Given is a right angled triangle.

By the definition of trigonometric functions,

Sin y = Opposite side / Hypotenuse

sin y = 31.4 / 70.2

sin y = 0.447

y = 26.57

  = 26.6

Hence the value of y is 26.6.

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We have to find the "better buy" between two options:

1) 16 oz jar for $2.49

2) 64 oz jar for $6.99

We can compare this two options with the unit price of each one. The unit price will be expressed in "$ per oz" or "$/oz". The option with the smaller unit price is the "better buy".

We can calculate the unit price as teh quotient between the price and the weight of each option.

Unit price for Option 1:

Unit price for Option 2:

As the Option 2 (64 oz jar) has a smaller unit price, the better buy is the 64 oz jar for $6.99.

Answer: the better buy is the 64 oz jar for $6.99.

Answer:

4/10

Step-by-step explanation:

Let the numerator be 2x and the denominator is 5x. The denominator is 6 more than the numerator so if we add 6 to the numerator both numbers should be equal.

Solve:

2x+6 = 5x

6 = 3x

x = 2

2x = 4

5x = 10

Step-by-step explanation:

Let the numerator be 2x and denominator be 5x,

A.T.Q,

2x+6 = 5x

2x-5x = -6

-3x = -6

3x = 6

x = 2

So, the fraction is 4/10 = 2/5

Answer:

It is 10 (m=10)

Step-by-step explanation:

3 (10-2) + 14                  Subtract whats in the parentheses

3 (8) + 14                        Multiply 3 and 8

24 + 14                             Add the remaining to get the sum ( 24 + 14 )

38           (Your total)

~~~Hope this helps~~~

The p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

The correct answer is not provided in the question. The chi-square test statistic cannot be used for testing hypotheses about a single proportion. Instead, we use a z-test for proportions. To find the test statistic, we first calculate the sample proportion:

p-hat = 411/900 = 0.4578

Then, we calculate the standard error:

SE = \(\sqrt{[p-hat(1-p-hat)/n] } = \sqrt{[(0.4578)(1-0.4578)/900]}\) = 0.0241

Next, we calculate the z-score:

z = (p-hat - p) / SE = (0.4578 - 0.50) / 0.0241 = -1.77

Finally, we find the p-value using a normal distribution table or calculator. The p-value is the probability of getting a z-score as extreme or more extreme than -1.77, assuming the null hypothesis is true. The p-value is approximately 0.0392.

Since the p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

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The value of cotθ given that cscθ = 8/7 using trigonometric identities is √(15)/7.

To find the value of cotθ given cscθ = 8/7, we can use the relationship between trigonometric functions:

cscθ = 1/sinθ and cotθ = cosθ/sinθ

First, we can find the value of sinθ by using the definition of cscθ:

cscθ = 1/sinθ

8/7 = 1/sinθ

sinθ = 7/8

Next, we can use the value of sinθ to find the value of cosθ using the Pythagorean identity:

sin²θ + cos²θ = 1

cos²θ = 1 - sin²θ

cos²θ = 1 - (7/8)²

cos²θ = 1 - 49/64

cos²θ = 15/64

Taking the square root of both sides, we get:

cosθ = ±√(15)/8

Since cscθ is positive and cotθ is positive, we need to take the positive square root:

cosθ = √(15)/8

Finally, we can use the definition of cotθ to find the value of cotθ:

cotθ = cosθ/sinθ

cotθ = (√(15)/8) / (7/8)

cotθ = √(15)/7

In conclusion, to find the value of cotθ given cscθ, we can use the relationship between trigonometric functions and the Pythagorean identity to find the values of sinθ and cosθ, and then use the definition of cotθ to find its value.

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1) $9.27  (far store), $9.87 (near store)

2) $0.169 per mile

3) 4.6 miles , 16.8 miles

4) $0.78, $2.84

5) $10.05 to the far store, $12.71 to the near store

What is Cost?

A mathematical formula known as the cost function is used to graph how production costs will change depending on the output level. To put it another way, it calculates the overall cost of production based on the quantity that is produced.

1) Let's compare chicken costs:

$3.09 * 3 = $9.27  (far store)

$3.29 * 3 = $9.87 (near store)

2) Now let's look at how much it costs to travel in your car:

    \(\frac{3.87}{23} = 0.169\ per \ mile\)

           = $0.169 per mile.

3) Next, let's look how much it costs to travel to each store from the gas used. Multiply by 2 because you not only have to drive there, but also back home for the round trip:

2.3 miles * 2 = 4.6 miles

8.4 miles * 2 = 16.8 miles

4) Now to find the cost of gas for the respective trips:

$0.169 * 4.6 = $0.78

$0.169 * 16.8 = $2.84

5) We can just eyeball it from here that it's not worth it to travel, but for completion's sake, let's add the gas and chicken costs together:

$9.27 + $0.78 = $10.05 to the far store

$9.87 + $2.84 = $12.71 to the near store

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Answer:

Divide the number by 100

So if we want to find 30% of 60 we divide 60 by 100 to get 1%

60/00 = .6

.6 x 30 = 18

So 30% of 60 is 18

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The final answers are given below

\(10.\)L

\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)

\(00000\)

\(12\)  | |

\(00000\)

|

\(00000\)

\(15. 31 16 48 29 53 47 22 37 98 26 2025\)

A number is an arithmetic value that is used to calculate and represent a quantity.

The numbers that are more than \(20\) but less than \(30\) are \(22\) and \(26\), so they should be crossed out:

\(31 16 48 29 53 47\) X \(37 98\) X \(2025\)

Therefore the answers are given below.

\(10.\)L

\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)

\(00000\)

\(12\)  | |

\(00000\)

|

\(00000\)

\(15. 31 16 48 29 53 47 22 37 98 26 2025\)

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Answer:

$90

Step-by-step explanation:

Sorry to ask but can I have brainliest

The Average proportional failure of the instructors is 0.10

From the question  we are told that

Sample size 100  

Instructor    Number of Failures  

Prof. A         13

Prof. B         0

Prof. C         11

Prof. D         16

Confidence level= 0.95

From Z table

Z=1.96

Generally proportion for failure is mathematically given as

proportion of failure = number of failure/ sample size

Prof A

Pa = 13/100

Pa = 0.13

Prof B

Pb = 0/100 = 0

Prof c

Pc = 11/100 = 0.11

Prof D

Pd = 16/100 = 0.16

Average proportional failure = (0.13 + 0.16 + 0.11 +0)/4 = 0.10

Therefore the Range is 0.0412 to 0.1588

Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options

Therefore, the Average proportional failure of the instructors is 0.10

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The sample space that is not proper when considering all undergraduates at a university is S = {age under 21, age 21 or over}. This is because age is not a defining factor for classifying undergraduates, and it is not mutually exclusive or collectively exhaustive.

It is possible for an undergraduate to fall into both categories, creating an overlap. On the other hand, S = {freshmen, sophomores} and S = {in-state, out-of-state} are proper sample spaces because they are mutually exclusive and collectively exhaustive. S = {a major within business, no business major} is also a proper sample space because it is mutually exclusive, and all undergraduates will fall into one of these categories. When defining a sample space, it is important to consider if the categories are exclusive and exhaustive, and if they apply to all members of the population being studied.

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Step-by-step explanation:

annapurna suppliers to sagarmatha suppliers ,

SP = (100+10)%of 497200

=110/100 * 497200

SP = RS. 546920

VAT 1 = 13% OF 546920

= RS. 71099.6

SAGARMATHA SUPPLIERS TO CONSTRUCTOR,

CP=RS.546920

TC=RS.10000

PROFIT =RS. 30000

LT =RS. 20000

SP = RS. 60000

VAT=13%

VAT 2 = 13% OF 60000

= RS. 7800

final price with VAT = 7800+ 546920+71099.6

=RS. 625819.6

Final cost is 36463.6 and VAT end profit is 3646.36.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given

Material cost = 497200

10% profit = \(\frac{10}{100}\) × 497200

= 49720

13% VAT = \(\frac{13}{100}\) × 49720

= 6463.6

Hence, Final cost  = 6463.6 + 10000 + 20000

= 36463.6

VAT end profit = \(\frac{10}{100}\) × 36463.6

= 3646.36

Hence, Final cost is 36463.6 and VAT end profit is 3646.36.

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