the area of this figure is

A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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Lindsey has a total of 5 5/12 balls of yarn. Since she needs 5 balls for the baby blanket, she has enough yarn to complete the project. She will have 13/12 of a ball of yarn left after making the blanket, which can be used for other projects.

Lindsey has a total of 5 5/12 balls of yarn, and since she needs 5 balls for the baby blanket, she has enough yarn to complete the project. She will have 5/12 of a ball of yarn left after making the blanket, which can be used for other smaller projects or kept as a spare.

To calculate the total amount of yarn Lindsey has, we add the fractions of each color together. Converting all mixed numbers to improper fractions, we have 1 2/3 + 3/4 + 2 1/6 = 5/3 + 3/4 + 13/6 = 10/6 + 9/4 + 13/6 = 20/12 + 27/12 + 26/12 = 73/12. This means Lindsey has 73/12 balls of yarn.

Since 73/12 is greater than the 5 balls needed for the blanket, Lindsey has enough yarn to complete the project. Subtracting 5 from 73/12 gives us 73/12 - 60/12 = 13/12, which is the amount of yarn she will have left. This leftover yarn can be used for other projects or kept for future use.

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The price of one candy box was $2.50 if the popcorn were of $3.20 and the total amount was $18.20.

The price of one candy box can be determined using an algebraic expression. An algebraic expression can be defined as one that consists of both numbers and letters.

As he ordered 6 boxes of candy and a bucket of popcorn and the popcorn was of $3.20 and the total was $18.20, an algebraic expression can be given as;

6(x) + 3.20 = 18.20

Here x is the price of one candy box

Solving for x;

6x = 18.20 - 3.20

6x = 15

x = 15 / 6

x = 2.50

Hence the price of one candy box is calculated to be $2.50.

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The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

C.

Step-by-step explanation:

You are multiplying $7 by c calculators.

13 is the value of z from the given figure.

The properties of the triangle are:

From the given figure,

∠ABE + ∠EBC =. 180

∠EBC = 180- ∠ABE

∠EBC = 180 - 9z -----(1)

∠ECB + 115 = 180

∠ECB = 65-----(2)

IN ∆EBC

∠BEC + ∠ECB + ∠EBC = 180

4Z + 180- 9Z + 65 = 180 ---------(from eq i & ii)

-5Z = -65

Z = -65/-5y

Z = 13

The value of z from the given figure is 13.

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Complete question:

There are no such pairs. The sum of the reciprocals of any two positive integers is always greater than\($\frac14$\).

The sum of the reciprocals of any two positive integers is \($\frac{1}{m} + \frac{1}{n}$\), which is always greater than \($\frac14$\). Therefore, there are no distinct ordered pairs of positive integers \($(m,n)$\) so that the sum of the reciprocals of m and n is \($\frac14$\)

For any two positive integers m and n, the sum of their reciprocals is \($\frac{1}{m} + \frac{1}{n}$\) which is always greater than \($\frac14$\) This is because \(\frac{1}{m}$ ,$\frac{1}{n}\) are both positive numbers, and so their sum must be greater than \($\frac14$\)Therefore, there are no distinct ordered pairs of positive integers \($(m,n)$\) so that the sum of the reciprocals of m and n is \($\frac14$\).

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

mutiplying it

Step-by-step explanation:

it is multiplying it because 2×2=4

Answer:

multiplying the answer

Answer:

B. $600

Step-by-step explanation:

All these linear equation intersect from one point.

-2x + 0y = 0

0x - y = 0

2x + 0y = 0

4x + 3y = 0

6x + 8y = 0

8x + 15y = 0

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.

all the equations from the table  

-2x + 0y = 0

0x - y = 0

2x + 0y = 0

4x + 3y = 0

6x + 8y = 0

8x + 15y = 0

graph is attached here,

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The complete question is -

Given the table below, tje solutions to the quadratic are __ and __ .

x = -2, 0, 2, 4, 6, 8

y = 0, -1,0, 3 , 8 , 15

The required work done in lifting the laptop to a height of 2 feet will be 263.79 foot-poundal.

Total weight of the laptop is 4.1 pounds

Acceleration due to gravity = 32.17 ft/\(s^{2}\)

Now the height to which the laptop has been lifted = 2 feet

Since, there is no mentioned velocity of the laptop, therefore the kinetic energy will be zero

Therefore, the total work in lifting the laptop will be equal to the change in potential energy.

Potential energy is the energy that comes by virtue of its position with reference to other

Therefore, potential energy = mgh

Where, m = mass of the laptop = 4.1 pounds

g = acceleration due to gravity = 32.17 ft/\(s^{2}\)

h = height to which the laptop is lifted =  2 feet

Therefore potential energy = (4.1)(32.17)(2) = 263.79 foot-poundal

263.79 foot-poundal is the required work done.

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The statement  of the given question is True.

True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.

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Answer:

B, the y-intercept

Step-by-step explanation:

The y-intercept will change but all else will stay the same.

When you shift a function up and down, the y-intercept will change.

Answer:

The answer to this question is A

\( \frac{50x24}{16?} = 24\)

The volume of the tank is 25ft³.

Suppose, the volume of the fish tank is v ft³.

According to the given question.

The density(d) of the fish tank is 0.4 fish/ ft³.

And the total number of fish in the tank is, n =  12.

As, we know that the population density (d) of the fish in the tank is the number of fishes (n) in a given volume (v)

So, the volume of of the tank is given by

d = n/v

⇒ 0.5 = 12/v

⇒ v = 12/0.5

⇒ v = 25ft³.

Hence, the volume of the tank is 25ft³.

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Answer:

2

Step-by-step explanation:

Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2

y =  \(a (x - -1)^{2}\) + (-2) so if you simplify we get y =  a(x+1)^2 -2

Since we are also given a point we can solve for a so x = 2 and y = 16

16 = a(2+1)^2 - 2

16 = a(3)^2 - 2

18 = 9a

a = 2

Answer:

No solution

Step-by-step explanation:

As 6x on lhs and 2×3x on the rhs are equal and cancel each other

Without any additional information about the intercepted arcs or the relationship between the angles, we cannot determine their exact values.

Given that angle d outside of a circle is 43 degrees, we can use the following properties of angles in circles to find the values of angle a, angle b, and angle c:

1. Inscribed Angle: The measure of an inscribed angle is half the measure of its intercepted arc.
2. Central Angle: The measure of a central angle is equal to the measure of its intercepted arc.
3. External Angle: The measure of an external angle is half the difference between the measures of its intercepted arcs.

Using these properties, we can find the value of angle a, angle b, and angle c. However, Please provide more information about the angles' relationships or the intercepted arcs.

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Answer:

Step-by-step explanation:

is this in college?

The finite correction factor should be used in the computation of the standard deviation of the sample mean and the standard population when n/N is less than 0.05. The correct option is less than 0.05.

The finite correction factor is a statistical adjustment that is applied when the sample size (n) is relatively small compared to the population size (N).

When n/N is less than 0.05, it indicates that the sample size is significantly smaller than the population size, and the finite correction factor helps to account for the potential bias that can arise from this imbalance.

By applying the correction factor, the standard deviation of the sample mean and the standard deviation of the population are adjusted to provide more accurate estimates of the true variability in the data.

This correction is necessary to ensure the validity of statistical inferences and to account for potential errors in estimation.

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Answer:

Step-by-step explanation:

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The another way to represent the diameter of an atom of gold is

1.44 x 10⁻⁷mm.

To change the number in order of 10 to the power of something we simply find the decimal place and count the number of '0' after the decimal place.

For example: 0.00044001 mm in 10 to the power of something will be

Here 3 zeros ( 0 ) and one '4' after the decimal place so, we multiply and divide the given number by 10 ⁴.

now, ( 0.00044001 x 10 ⁴) / 10 ⁴

such that decimal shift its position by 4,

now, the number becomes 4.44001 / 10 ⁴

then, the answer will be 4.44001 x 10⁻⁴

We have given the diameter of an atom of gold is  0.000000144 mm

here 6 zeros ( 0 ) and one '1' after the decimal place so, we multiply and divide the given number by 10⁷.

now, ( 0.000000144 x 10⁷ ) / 10⁷

such that decimal shifts its position by 7 after getting multiplied by 10⁷.

now, the number becomes ( 1.44 ) / 10⁷

then, the answer will be 1.44 x 10⁻⁷.

Hence, The another way to represent the diameter of an atom of gold is

1.44 x 10⁻⁷mm.

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Answer: The answer is 1.44 x 10⁻⁷mm.

Explanation: I hope this helps

Answer:

There can be no answer, as you did not provide the box plot to compare the data.

Answer: True

Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent angles. Note they are pointing in different directions.

The minimum sample size necessary for the bound on the error of estimation of the 90% confidence interval to be 3000 is 7.331 times the sample variance.

To calculate the minimum sample size necessary for the bound on the error of estimation of the 90% confidence interval to be 3000, a formula can be used:
n = [(z-value)² * s²] / E²

where n is the sample size, z-value is the critical value of the standard normal distribution at the desired confidence level (in this case, 90%), s is the sample standard deviation, and E is the margin of error.

Since we are given that the bound on the error of estimation is 3000, we can plug in E = 3000 into the formula and solve for n:
n = [(z-value)² * s²] / E²
n = [(1.645)² * s²] / (3000)²
n = (2.705)² * s² / 9,000,000
n = 7.331 * s²

Therefore, the minimum sample size necessary for the bound on the error of estimation of the 90% confidence interval to be 3000 is 7.331 times the sample variance.

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