y = x + 2 on a graph with the solution

The term q^2 in the Hardy-Weinberg equation represents the frequency of homozygous recessive individuals in a population.

In the Hardy-Weinberg equation, the term q^2 is used to calculate the frequency of homozygous recessive individuals in a population. The equation is based on the principle that in the absence of evolutionary forces, such as mutation, migration, selection, and genetic drift, the allele frequencies in a population remain constant from one generation to the next.

In the equation, q represents the frequency of the recessive allele, and q^2 represents the frequency of individuals who are homozygous for the recessive allele. By squaring q, we obtain the proportion of individuals who carry two copies of the recessive allele. This is because in a population in Hardy-Weinberg equilibrium, the probability of an individual inheriting the recessive allele from both parents (represented by q * q) is q^2.

To understand this better, let's consider an example. Suppose we have a population in which the frequency of the recessive allele (q) is 0.3. To calculate the frequency of homozygous recessive individuals (q^2), we square q: (0.3)^2 = 0.09. This means that 9% of individuals in the population would be expected to be homozygous for the recessive allele.

The Hardy-Weinberg equation and its components are valuable tools in population genetics. They help us understand how genetic variation is maintained or changes over time in populations and provide a baseline against which we can compare real-world data to detect deviations that may indicate evolutionary processes at work.

Visit here to learn more about Hardy-Weinberg equation:

brainly.com/question/5028378

#SPJ11

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


To learn more about Tension click here: brainly.com/question/31500075

#SPJ11

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

To learn more about the parallel line from the given link

https://brainly.com/question/24607467

#SPJ4

The range of h(x) is: {-27, -13, -3, 3, 5}.

So, the correct answer is: {-27, -13, -3, 3, 5}.

The range of a quadratic function is the set of all possible outputs (y-values) of the function. In this case, the range of h(x) is given by the set of ordered pairs (x, h(x)) where x = -1, 0, 1, 2, 3, 4, 5.

The range of h(x) is: {-27, -13, -3, 3, 5}.

So, the correct answer is: {-27, -13, -3, 3, 5}.

a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function. Prior to the 20th century, the terms "quadratic polynomial" and "quadratic function" were practically interchangeable since it was difficult to distinguish between a polynomial and the related polynomial function. This is still the case in many elementary courses where "quadratic" is frequently used to refer to both words.

To learn more about quadratic function:

https://brainly.com/question/29427108

#SPJ4

Answer:

he can get 6 shirts

Step-by-step explanation:

12.60 x 26.5

333.9 - 280

53.9 ÷ 8.6

6

Answer:

6

Step-by-step explanation:

Answer:

When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.

The percentage of three types of tickets collected at the gate:

ai) student's ticket as a percent: 48%, as a fraction: 48/100, and as a decimal: 0.48.

aii)Adult's ticket as a percent:28%, as fraction:28/100, and as decimal: 0.28.

aiii) Senior's( 65 and older) ticket: 14%, as fraction:14/100 and as decimal: 0.14.

b)Tickets for children under 5years is: 10%, as fraction:10/100, and as decimal: 0.10.

what is percentage?

This is a number written as a ratio of a hundred or as a fraction of a hundred. it is represented with "%".

How to calculate the percentages:

.As a fraction: Write it as a ratio of a hundred.

ticket type for

i) students48% =48/100

ii)Adult       28%=28/100

iii)Senior's( 65 and older)14% =14/100

.As a decimal: Write it as a ratio of hundred then divide by hundred.

ticket type for:

i) students48% =48/100=0.48

ii)Adult       28%=28/100=0.28

iii)Senior's( 65 and older)14% =14/100=0.14

b)To calculate the percentage of tickets of children under 5 years:

Percent(% )means 100

Therefore,

100 - student ticket %- Adult's ticket % - Senior's( 65 and older) ticket%

100- 48 - 28 - 14 = 10%

Thus for children under 5 years,

i)As percent is:10%,

ii)as fraction:10/100

iii)decimal: 0.10.

Learn more on percentages

https://brainly.com/question/12948737

#SPJ1

Answer:

Step-by-step explanation:

a) In 25 years you will have approximately $150,080.82 in the account, b) The total deposited amount is $60,000 and c) You will earn approximately $90,080.82 in total interest.

a) Using the formula for compound interest: A=P(1+r/n)^(nt),

where A = final amount, P = principal, r = annual interest rate, n = number of times the interest is compounded per year, and t = time (in years).

P = $200 per month, r = 6%, n = 12 (since interest is compounded monthly), and t = 25 years.

The total amount deposited : Total deposited = $200 x 12 months x 25 years

                                                                            = $60,000

Now, substitute these values into the formula and solve for A :

A = 200(1+0.06/12)^(12x25)

A ≈ $150,080.82

Therefore, you will have approximately $150,080.82 in the account in 25 years.

b) We know that the total deposited amount is $60,000.

c) To find the total interest earned, subtract the principal (total deposited amount) from the final amount :

A - P = $150,080.82 - $60,000

        = $90,080.82

Therefore, you will earn approximately $90,080.82 in total interest.

Learn more about compound interest from the given link :

https://brainly.com/question/3989769

#SPJ11

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

Failure is not expected at the critical point in the aluminum casting for the given stress state. The shearing stress τ0 for which failure should be expected is ±0 ksi.

The state of plane stress in an aluminum casting can be analyzed using Mohr's criterion to determine the shearing stress τ0 for which failure should be expected. Mohr's criterion states that failure occurs when the maximum normal stress σmax exceeds the ultimate tensile strength σUT or when the minimum normal stress σmin falls below the ultimate compressive strength σUC.
Given the values:
σx = 6 ksi (maximum normal stress)
σUT = 10 ksi (ultimate tensile strength)
σUC = 25 ksi (ultimate compressive strength)
To find the shearing stress τ0 for which failure should be expected, we can follow these steps:
Step 1: Calculate the mean normal stress σavg:
σavg = (σmax + σmin) / 2
σavg = (6 ksi + (-σmin)) / 2
σavg = (6 ksi - σmin) / 2
Step 2: Calculate the difference in normal stresses Δσ:
Δσ = (σmax - σmin)
Δσ = (6 ksi - (-σmin))
Δσ = (6 ksi + σmin)
Step 3: Apply Mohr's criterion to determine failure condition:
Failure occurs when σavg + (Δσ/2) > σUT or when σavg - (Δσ/2) < -σUC
For failure to occur, either of these conditions must be met.
Condition 1: σavg + (Δσ/2) > σUT
(6 ksi - σmin) / 2 + (6 ksi + σmin) / 2 > 10 ksi
Simplifying the equation:
6 ksi - σmin + 6 ksi + σmin > 20 ksi
12 ksi > 20 ksi
This condition is not met.
Condition 2: σavg - (Δσ/2) < -σUC
(6 ksi - σmin) / 2 - (6 ksi + σmin) / 2 < -25 ksi
Simplifying the equation:
6 ksi - σ\(min\) - 6 ksi - σ\(min\) < -50 ksi
-2σ\(min\) < -50 ksi
σ\(min\) > 25 ksi/2
σ\(min\) > 12.5 ksi
Since the condition σmin > 12.5 ksi is not met, failure does not occur.
Therefore, failure is not expected at the critical point in the aluminum casting for the given stress state. The shearing stress τ0 for which failure should be expected is ±0 ksi.

To learn more about Stress

https://brainly.com/question/30734635

#SPJ11

Cylinder is a three-dimensional solid, whose circular base and top are parallel to each other. The curved surface area is defined as the area of only curved surface, leaving the circular top and base.

How to determine this

Area of curved surface of a cylindrical vase = 1808.64 square cm

Height = 36 cm

π = 3.14

Radius = ?

To calculate the radius

Area = 2πrh

1808.64 = 2 * 3.14 * r * 36

1808.64 = 226.08r

divides through by 226.08

1808.64/226.08 = 226.08r/226.08

8 = r

So, the radius of the vase = 8 cm

To find the base area of the vase

Base area = \(\pi r^{2}\)

Base area = 3.14 * \(8^{2}\)

Base area = 3.14 * 64

Base area = 200.96 \(cm^{2}\)

Therefore, the radius is 8 cm and the base area is 200.96 \(cm^{2}\)

Read more about Cylinder

https://brainly.com/question/30963016

#SPJ1

Answer:

It will take 2 snacks for Benjamin and Landon to spend the same amount

Step-by-step explanation:

Assume they bought x snacks

∵ Benjamin spends $9.50 for a movie ticket at Emagine and $4.50

  for each snack

∵ He bought x snacks

→ Multiply the number of snacks by 4.50 and add it to 9.50

∴ The amount he spent = 4.50x + 9.50

∵ Landon spends $8 for a movie ticket at AMC and $5.25 for each snack

∵ He bought x snacks

→ Multiply the number of snacks by 5.25 and add it to 8

∴ The amount he spent = 5.25x + 8

∵ They spent the same amount of money

→ Equate the right sides of their amount spent

∴ 5.25x + 8 = 4.50x + 9.50

→ Subtract 4.50x from both sides

∵ 5.25x - 4.50x + 8 = 4.50x - 4.50x + 9.50

∴ 0.75x + 8 = 9.50

→ Subtract 8 from both sides

∵ 0.75x + 8 - 8 = 9.50 - 8

∴ 0.75x = 1.50

→ Divide both sides by 0.75

∴ x = 2

∵ x represents the number of snacks they bought

∴ It will take 2 snacks for Benjamin and Landon to spend the same amount

Answer:

whats the question?

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

To write this equation, we know that five more than n equals 5. The word "more" implies we are adding. So we can write n+5=9 as our equation. We need to isolate the variable, so we get only n on one side. So we subtract 5 from each side to isolate. 9-5=4. So our new equation is n=4. This is also our answer!

I hope this has helped you!

Answer:

71

Step-by-step explanation:

59 add 84 add 61 add 81 is 285

285 divided by (how many test scores) 4 is 71.25

I then rounded the number to 71. So leo would get 71. This is called mean. The mean is basically adding all the numbers then dividing it by how many there were of numbers. Mean tells you the average. So I'm pretty sure it's 71.

Answer of the statements is describe below.

Given that,

For general :

cost of admission  = $15

cost of per taco = $4

For VIP :

cost of admission  = $36

cost of per taco = $1.50

Therefore,

Since price of taco in VIP is less than General admission

Then Deric should choose VIP if he plan to buy 6 tacos.

The amount Deric have to spent = $55

As Deric wants to eat many tacos so he should go for VIP in which price of taco in VIP is less than General admission so he can buy more taco.

Since price of each taco in general admission = $4

Then he can buy 55/4  = 13.74 tacos in general admission

And  price of each taco in VIP = $1.5

Then he can buy 55/1.5 = 36.66 tacos in VIP

Since price of tacos in VIP is cheaper then he can buy

37 tacos nearly.

To learn more about division visit:

https://brainly.com/question/2273245

#SPJ1

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

1. The volume of the box is given by:

Volume = length x width x height = 9 in. x 2 in. x 12 in. = 216 cubic inches

So, the answer is 216 cubic inches.

2. The surface area of the box is given by:

Surface Area = 2lw + 2lh + 2wh = 2(9)(12) + 2(9)(2) + 2(2)(12) = 216 + 36 + 48 = 300 square inches

So, the answer is 300 square inches.

3. The surface area of the cereal box is 300 sq. in.

If cardboard costs $0.01 per square inch, then the cost of manufacturing this cereal box would be:

300 sq. in. x $0.01/sq. in. = $3.00

Therefore, the correct answer is -3.00.

4. The volume of the rectangular prism is given by:

Volume = length x width x height = 9 in. x 2 in. x 12 in. = 216 cubic inches

To find the surface area of the sphere, use the formula:

A = 4πr²

Plugging in r = 3.7 in.:

A = 4π(3.7 in.)² ≈ 172.11 square inches

Rounding this to the nearest square inch gives us:

A ≈ 172 square inches

5. The rectangular prism with dimensions of 9 in. x 2 in. x 12 in. would cost less in packaging.

6. The volume of the cylinder is given by:

Volume = πr²h = 390 cubic inches

Solving for r:

r ≈ 4 inches

Therefore, the approximate radius of the cylinder should be 4 inches to hold the same volume of cereal as the rectangular prism.

7. The surface area of the travel-size cereal box is given by:

Surface Area = 2lw + 2lh + 2wh = 2(3)(1.5) + 2(3)(4.5) + 2(1.5)(4.5) = 9 + 27 + 13.5 = 49.5 square inches

To find the length of each side in the cube with the same surface area, we use the formula:

Surface Area of Cube = 6s²

49.5 = 6s²

s ≈ 2.2 inches

So, the length of each side in the cube would be approximately 2.2 inches.

8. The rectangular prism with dimensions of 3 in. x 1.5 in. x 4.5 in. holds more volume than the cube with a side length of approximately 2.2 inches.

9. Some factors that a cereal company may consider in creating their packaging include how well it stacks for shipping and storing on shelves, how easy it is to hold and pour, and how much advertising space there is on the front of the design.

Find out more on volume here: https://brainly.com/question/27710307

#SPJ1

Answer:

$95 FOR A DRESS

Step-by-step explanation:

Let's rearrange the given:

  She bought a blouse and skirt for two, a blouse and a dress for two, and a blouse for two.

     A blouse and a skirt cost $107

     A blouse and a dress cost $134

     blouse cost x dollars

The equation:

     2($107) + 2($134) + 2x = $560

SOLUTION:

   $214 + $268 + 2x = $560

   2x = $560 - $214 - $268

   2x = $78

   x = $39 for a single blouse

FIND THE COST OF DRESS:

   A blouse and a dress cost $134 - $39 for a single blouse

      $134 - $39 = $95

$95 IS THE COST OF DRESS

To find the response of the first-order system excited by the linear FM signal, follow these steps: use the difference equation, provide an initial condition for y[0], and compute y[n] for each value of n in the given range.

The response of a first-order system when excited by a linear FM signal. Here's a step-by-step explanation:
1. The first-order system is described by the difference equation y[n] = 0.8y[n-1] + 0.2x[n].
2. The system is excited by a linear FM signal x[n] = cos(2π(b/fs/n)n^2/3), where 0 ≤ n ≤ N.
To find the response of the first-order system to this input signal, we need to compute y[n] for each value of n from 0 to N.
3. Since y[n] depends on y[n-1], we need an initial condition for y[0]. If not given, we'll assume y[0] = 0.
4. Now, for each value of n from 1 to N, calculate y[n] using the difference equation and the input signal x[n]:
  y[n] = 0.8y[n-1] + 0.2*cos(2π(b/fs/n)n^2/3)
5. Repeat this calculation for all values of n within the specified range (0 ≤ n ≤ N) to obtain the system response y[n].
Learn more about linear combination here:

brainly.com/question/14492297

#SPJ11

If the math SAT scores followed a normal-distribution, then the probability that

(a) sample mean is less than 475 is 00.1151,

(b) sample mean is greater than 500 is 0.2119,

(c) sample mean is between 475 and 500 is 0.6730.

The mean score (μ) = 490, the standard-deviation (σ) = 50,

Part (a) :

The random sample of 16 people is selected,

So, σₓ = σ/√n = 50/√16 = 12.5,

⇒ P(x < 475) = P[ (x-μ)/σ < (475-490)/12.5],

⇒ P(z < -1.2) = 0.1151.

So, Probability that sample mean is less than 475 is 0.1151.

Part (b) :

The probability that the mean score is greater than 500 is written as :

⇒ P(x > 500) = 1 - P(x < 500) = 1 - P[z < (500 - 490)/12.5],

⇒ 1 - P(z < 0.8)

⇒ 1 - 0.7881 = 0.2119.

So, probability that mean score is greater than 500 is 0.2119.

Part (c) :

The probability that the mean score is between 475 and 500 is written as :

⇒ P[ (475 - 490)/12.5 < z < (500 - 490)/12.5 ],

⇒ P( -1.2 < z < 0.8)

⇒ P(z < 0.8) - P(z < -1.2)

From the normal table,

⇒ 0.7881 - 0.1151 = 0.6730,

So, probability that mean score is between 475 and 500 is 0.6730.

Learn more about Probability here

https://brainly.com/question/1920631

#SPJ4

Answer: He can use 3 x 5 = 15 and 15 + 3.

Step-by-step explanation:

Since a small car is $3, and the large car is 5x the price of the small car, he can use the equation 3 x 5 = 15, because the small car is $3, and the large car is 5x the price. You can use 15 + 3 = 18, because the small car is $3, so you also have to add that.

Here to help!

The equation is x + 5x = 18 , where x is the cost of small toy car and the total cost of the two cars = $ 18

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the two cars be A

Now , the equation will be

Let the cost of the small toy car be = x

The cost of small toy car = $ 3

The cost of the large car = 5 x cost of small toy car

Substituting the values in the equation , we get

The cost of the large car = 5 x 3

The cost of the large car = $ 15

So , the cost of two cars = x + 5x

Substituting the values in the equation , we get

The total cost of the two cars A = 15 + 3

The total cost of the two cars A = $ 18

Therefore , the value of A is $ 18

Hence , the equation is A = x + 5x

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

Standard form

ax + gy = c       re-arrange to slope -int form   subtract ax from both sides of the equation

gy = - ax + c       divide thru by 'g'

y = -a/g x + c/g      - a/g would be the slope , m   and c/g would be the y-axis

  intercept , b    for   slope intercept form    y - mx +b  

y = 8450(0.7640)ˣ is the equation that will model this situation

The general form of exponential equation is given by:

y = abˣ

Where a is the initial value of the car, b is the depreciation rate and x is the number of years

When x = 0, y = $8450:

y = abˣ

8450 = ab⁰

a = 8450

In 1993, x = 1993 - 1988 = 5 years and y = $2200:

y = abˣ

2200 = 8450b⁵

b⁵ = 2200/8450

b = \(\sqrt[5]{}\)(2200/8450)

b = 0.7640

Thus, the equation that model the situation is y = 8450(0.7640)ˣ

Learn more about exponential equations on:

https://brainly.com/question/29458893

#SPJ1

Rohan's present age is 9 years. By setting up and solving the quadratic equation, we determine that Rohan's present age is 9 years.

To find Rohan's present age, we can solve the quadratic equation that represents the given information.

1. Let's assume Rohan's present age as x years.

2. According to the problem, Rohan's mother is 26 years older than him, so her age would be (x + 26) years.

3. Three years from now, Rohan's age will be (x + 3) years, and his mother's age will be (x + 26 + 3) years.

4. The product of their ages three years from now is given as 360, so we can set up the equation: (x + 3) * (x + 29) = 360.

5. Expanding the equation: x^2 + 32x + 87 = 360.

6. Rearranging the equation: x^2 + 32x - 273 = 0.

7. Now, we can solve the quadratic equation. Factoring or using the quadratic formula, we find that x = 9 or x = -41/3.

8. Since age cannot be negative or in fractions, the solution x = 9 represents Rohan's present age.

9. Therefore, Rohan's present age is 9 years.

To learn more about quadratic equation, click here: brainly.com/question/1214333

#SPJ11

Answer:

803.84=A

Step-by-step explanation:

The area of a circle can be found by using the equation \(\pi r^{2}\)=A.

\(\pi r^{2}\)=A

\((3.14)(16^{2})\)=A

(3.14)(256)=A

803.84=A  and the units are, how ever the radius is measured cubed

Answer: I believe that answer is D.

Step-by-step explanation:

-The angle below it is also 120 degrees.

-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.

Right angle-is 90 degrees exactly

Hope this helps!