5. Determine whether each of the following are functions or not. Explain how you know.​

Random changes in the allele frequency of a population between generations is the definition of Genetic drift.

Genetic drift:    

Genetic drift or the Wright effect is the change in the frequency of an existing gene difference (allele) in a population due to random chance. it is also known as Allelic drift  

Genetic drift can have significant impacts, leading occasionally to characteristics becoming excessively prevalent or even disappearing from a population.      

Genetic drift may totally vanish many Gene variations, which would limit genetic diversity. Additionally, it has the capability to make previous uncommon alleles far more common and even fixed.

The impact of genetic drift is more pronounced and less pronounced depending on how many copies of an allele are present.  

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Answer:

adding

Step-by-step explanation:

adding because you can use your fingers

94 divided by 400

then you will get your answer your looking for

Answer: the answer is 1/5 I put 4 and got it wrong, after submitting the test it showed me the answer

Experimental probabilities are based on the results of an experiment.

The experimental probability of T is (d) 1/5

From the graph, we have:

\(\mathbf{M = 6}\)

\(\mathbf{A = 3}\)

\(\mathbf{T = 4}\)

\(\mathbf{H = 7}\)

So, the experimental probability of T is:

\(\mathbf{P(T) = \frac{T}{M + A + T + H}}\)

This gives

\(\mathbf{P(T) = \frac{4}{6 + 3 + 4 + 7}}\)

\(\mathbf{P(T) = \frac{4}{20}}\)

Simplify

\(\mathbf{P(T) = \frac{1}{5}}\)

Hence, the experimental probability of T is (d) 1/5

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The standard deviation of a data set provides information about the spread or dispersion of the data around the mean.

It helps to determine the percentage of normal distribution in the data. If the standard deviation is small, it indicates that the data is tightly clustered around the mean and a high percentage of the data falls within a few standard deviations of the mean. On the other hand, if the standard deviation is large, it suggests that the data is more spread out and a smaller percentage of the data falls within a few standard deviations of the mean.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. So, the standard deviation provides insight into the proportion of data points that are close to the mean, and therefore, the shape of the distribution.

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The sum of the two given polynomials is 2x⁴+5x³+2x-6.

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

The given polynomials are (2x⁴-3x³-x-1) and (8x³+3x-5).

To add polynomials we simply add any like terms together.

(2x⁴-3x³-x-1)+(8x³+3x-5)

= 2x⁴-3x³+8x³-x+3x-1-5 (Group like terms and add them)

Arrange each polynomial with the term with the highest degree first then in decreasing order of degree.

2x⁴+5x³+2x-6

Therefore, the sum of the polynomials is 2x⁴+5x³+2x-6.

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Answer:

The constraints are:

Plot the graphs of the constraints

From the graph (see attachment), the only optimal point is (3,4)

Substitute 3 for x and 4 for y in the objective function.

So, we have:

Hence, the maximum value of C is 17

Step-by-step explanation: Hope this helps!!!

Answer:

A) 3/25

Step-by-step explanation:

2 spinners with 5 sectors numbered 1 to 5 gives 25 possible outputs.

Spinner 1 + Spinner 2

1 + 1

1 + 2

1 + 3

1 + 4

so on...

If you use the same pattern to find all 25 outputs, then the results show 3 possibilities of a total less than 9 when you spin both these spinners.

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Answer:

p-6

Step-by-step explanation:

You just balance the equation by putting the variable equations on the first side, and the equation on the other side. Simple!

Answer:

p-6

Step-by-step explanation:

You just balance the equation by putting the variable equations on the first side, and the equation on the other side. Simple!

Given:

The above expression can be expressed as,

Answer:

The answer would be 14.0

Step-by-step explanation:

you would find what the decimal is and because it is below 14.49 you would round down

Please mark as brainllest i really need it have a nice week  

[o]-[o]

\___/

Answer:

77

Step-by-step explanation:

cats:dogs

2:5

2x11=22

5x11=55

55+22=77

Answer:

77 animals

Step-by-step explanation:

Ratio = 2:5

2 = 22

5 = 5/2 ×22

= 55

=>There are 55 dogs in the animal shelter

Therefore the total number of animals = 55 +22

= 77

=> There are 77 animals at the animal shelter

The teacher has to select four members out of a math club of twelve members. There are 495 possible ways for her to make the selection.

To determine the number of ways the teacher can select four members from a math club of twelve, we can use the concept of combinations. A combination is a selection of items without regard to the order in which they are chosen. In this case, the teacher needs to select four members, and the order in which they are chosen does not matter.

The formula for calculating combinations is given by "n choose k," which is denoted as C(n, k) or nCk. In this case, the teacher needs to choose four members out of twelve, so the calculation would be 12C4.

Using the formula for combinations, 12C4 = 12! / (4!(12-4)!), where "!" represents the factorial function. Simplifying the expression gives us 12! / (4!8!).

The factorial function represents the product of all positive integers up to a given number. So, 12! is equal to 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.

Simplifying further, we have 12! / (4!8!) = (12 × 11 × 10 × 9) / (4 × 3 × 2 × 1).

Calculating the expression gives us (11880) / (24) = 495.

Therefore, there are 495 possible ways for the teacher to make her selection of four members from the math club of twelve.

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To find the mean of the random variable Z in each case, we can use the properties of linear combinations of random variables.

Case 1: Z = 2X + 3Y

The mean of Z is given by:

E(Z) = 2 * E(X) + 3 * E(Y)

E(X) = 15

E(Y) = 35

Substituting the values:

E(Z) = 2 * 15 + 3 * 35

    = 30 + 105

    = 135

Therefore, the mean of Z in Case 1 is 135.

Case 2: Z = X - Y

The mean of Z is given by:

E(Z) = E(X) - E(Y)

E(X) = 15

E(Y) = 35

Substituting the values:

E(Z) = 15 - 35

    = -20

Therefore, the mean of Z in Case 2 is -20.

Case 3: Z = X + 2Y

The mean of Z is given by:

E(Z) = E(X) + 2 * E(Y)

E(X) = 15

E(Y) = 35

Substituting the values:

E(Z) = 15 + 2 * 35

    = 15 + 70

    = 85

Therefore, the mean of Z in Case 3 is 85.

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By answering the presented question, we may conclude that Therefore, expressions the value of e is 10.

In mathematics, an expressive is a set of numbers, variables, and complex mathematical (such as addition, reduction, multiplication, division, multiplications, and others) that expresses a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can really be evaluated by inserting the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the solution "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Based on the preceding figure, we can observe that the two triangles are comparable. Hence, we may build up a percentage to solve for the values of c and e:

c / 10 = e / 14

solve for c,

\(c = (e / 14) * 10\\c = (5/7) * 10 \\c = 50/7\)

Therefore, the value of c is 7.14 (rounded to two decimal places).

solve for e,

\(14c = 10e\\e = (14c) / 10\\e = (14 * 50/7) / 10 \\e = 10\)

Therefore, the value of e is 10.

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By answering the presented question, we may conclude that Therefore, expressions the value of e is 10.

In mathematics, an expressive is a set of numbers, variables, and complex mathematical (such as addition, reduction, multiplication, division, multiplications, and others) that expresses a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "\((3x^2 - 2) / (x + 1)".\) They may also contain functions like "sin(x)" or "log(y)". Expressions can really be evaluated by inserting the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the solution "3x + 5" equals \(3^(2) + 5 = 11\). Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Based on the preceding figure, we can observe that the two triangles are comparable. Hence, we may build up a percentage to solve for the values of \($\mathrm{c}$\) and \($\mathrm{e}$\) :

\($\mathrm{c} / 10=\mathrm{e} / 14$\)

solve for \($\mathrm{c}$\),

\($$\begin{aligned}c & =(e / 14) * 10 \\c & =(5 / 7) * 10 \\c & =50 / 7\end{aligned}$$\)

Therefore, the value of \($c$\) is 7.14 (rounded to two decimal places).

solve for \($e$\)

\($$\begin{aligned}& 14 c=10 e \\& e=(14 c) / 10 \\& e=(14 * 50 / 7) / 10 \\& e=10\end{aligned}$$\)

Therefore, the value of e is 10 .

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Answer:

7. 2s^7

8. 2s^4/5s^2

9. 108s^9

10. h^7

Step-by-step explanation:

7) (2s^3)^4

= 2s^(3+4)

= 2s^7.

8) (2s^2/5s)^2

= (2s^4/5s^2)

= 2s^4/5s^2.

9) 3s^5 × 4s^-2 × 9s^6

= 12s^{5+(-2)} × 9s^6

= 12s^3 × 9s^6

= 108s^9.

10) h^5/h^-2

= h^{5-(-2)}

= h^7.

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No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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Answer:

x=44

Step-by-step explanation:

Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Answer: x=44

Step-by-step explanation: Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Answer:

2(x + 1.7) = 42.7

Step-by-step explanation:

Answer:

your answer is correct its option B

Step-by-step explanation:

hope it's helpful...

have a great day

Answer:

A.) 1644

given equation:  \(\sf p(x)=x^4-9x^3-5x^2-3x+4\)

To be divided with ( x + 5 )

Then,

x + 5 = 0

x = -5

Put this into the equation to find the remainder.

\(\sf p(x)=(-5)^4-9(-5)^3-5(-5)^2-3(-5)+4\)

\(\sf p(x)= 1644\)

Use the remainder theorem to find the remainder when p(x)=x^4-9x^3-5x^2-3x+4 is divided by x+5

B.) 1244

C.) -636

D.) -644

~~~~~~~~~~~~~~~~~~~~~

\(\sf p(x)=x^4-9x^3-5x^2-3x+4\)

\( \sf p(x) = (-5)^4 - 9(-5)^3 (-5)^2 - 3 (-5) + 4 \)

\( \sf \green {(p(x) = 1644)} \)

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

Answer:

2r2units

Step-by-step explanation:

Let a rectangle of dimensions x×y

Be inscribed in a circle of radius r.

Applying Pythagoras theorem on the right-angled triangle,

⇒x2+y2=(2r)2⇒x2+y2=4r2⇒y2=4r2−x2⇒y=4r2−x2−−−−−−−√

As dimensions of any shape cannot be negative so y=−4r2−x2−−−−−−−√

is not considered.

Area of the rectangle,

⇒A=x×y⇒A=x4r2−x2−−−−−−−√

Differentiating both sides with respect to x, we get –

dAdx=ddx(x4r2−x2−−−−−−−√)

Use the product rule to differentiate the above result –

A1(x)=xd(4r2−x2−−−−−−−√)dx+4r2−x2−−−−−−−√d(x)dxA1(x)=xd4r2−x2−−−−−−−√d(4r2−x2)d(4r2−x2)dx+4r2−x2−−−−−−−√(1)A1(x)=x124r2−x2−−−−−−−√(−2x)+4r2−x2−−−−−−−√A1(x)=−x2+4r2−x24r2−x2−−−−−−−√A1(x)=−2x2+4r24r2−x2−−−−−−−√

Now to get the maximum value, put A1(x)=0

−2x2+4r24r2−x2−−−−−−−√=0⇒4r2=2x2x2=2r2x=2–√r

The negative value of x is rejected.

⇒y=4r2−x2−−−−−−−√=r2–√

A(r2–√)=r2–√(4r2−2r2−−−−−−−√A(r2–√)=r2–√(r2–√)=2r2

The maximum area of a rectangle inscribed in a circle is 2r2units

and its dimensions are r2–√units×r2–√units

So, the correct answer is “ 2r2units ”.

Answer:

Yes 12 is an Integer

Step-by-step explanation:

12 is a whole number that can be written without a fractional component, thus 12 is an integer.

The given function is:

Split 25 into two using factors of 144 (-16 and -9):

Factorize each pair of expressions:

Factorize further using the difference of two squares:

Hence, the factored form of the function is:

Answer:

39.25 cm

Step-by-step explanation:

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

 =\(\pi 5^{2}\)

 =78.5

\(\frac{78.5}{2}\) = 39.25

Answer:

3

Step-by-step explanation:

write the question in an algebraic way:

3x+6 = 6x - 3

Solve:

6x-3 = 3x+6

6x - 3 - 3x = 6

3x = 9

x  = 3

Hope this helps.

Good Luck

Answer:

3

Step-by-step explanation:

Let X be the unknown number

3X+6=6X-3

3X-6X=-3-6

-3X=-9

X=-9÷-3

X=3