This pedigree chart tracks the inheritance of a recessive trait that is not sex-linked. Based on the information in the chart, which of the following statements is true?

Individual #11 must be homozygous for the recessive trait.
Individuals #3 and #4 must be heterozygous for the trait.
Individual #2 must be heterozygous dominant for the trait.
Individual #9 must be homozygous dominant for the trait.

Answer:

The circumference of the circle is 119.32 ft.

Step-by-step explanation:

The circumference of a circle can be solved through the formula:

C = πd

where d is the diameter

Given: d = 38 ft

π = 3.14

Solve:

C = πd

C = 3.14 (38 ft)

C = 119.32 ft

The approximated area of the shaded region is 92.54 square units

From the question, we have the following parameters that can be used in our computation:

The area of the shaded region in the figure is calculated as

Shaded region = Circle - Isosceles right triangle 1 - Isosceles right triangles 2

Using the given dimensions, we have

Shaded region = 3.14 * 6^2 - 1/2 * 5^2 - 1/2 * 4^2

Evaluate

Shaded region = 92.54

Hence, the shaded region is 92.54 square units

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Answer:

Step-by-step explanation:

Circle

Solve for circumference

C≈977.04

Radius

155.5

Solution

C=2πr=2·π·155.5≈977.03532 = 977.03

Answer:

977.03

Step-by-step explanation:

C=2πr=2·π·155.5≈977.03532 = 977.03

Answer:

14

Step-by-step explanation:

Start by setting up an equation:

[tex]\frac{2}{7} (49)=x[/tex]

Then, multiply the 49 by 2/7

[tex]\frac{2}{7} (\frac{49}{1} )\\\\\frac{2}{1}(\frac{7}{1})\\\\2(7)=14[/tex]

Hope this helps!

The given exponents term can be written in the form of [tex](a^{4})^{12}[/tex] .

What about exponents?

Exponents are a mathematical operation that involves multiplying a base number by itself a certain number of times. Exponents are often referred to as powers, and the base number is raised to a power, which is usually represented by a superscript number. For example, 2^3 means 2 raised to the power of 3, which is 2 x 2 x 2 = 8.

Exponents are commonly used in many areas of mathematics, including algebra, calculus, and geometry. They are used to represent very large or very small numbers, to simplify calculations, and to express repeated multiplication in a more compact form. Exponents can also be negative or fractional, allowing for the representation of roots and other mathematical concepts.

According to the given information:

In the given question [tex](a^{48} )[/tex] can be written as,

[tex](a^{4})^{12}[/tex] = [tex](a^{4})^{12} = a^{48}[/tex]

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Thus, the correct equation for the given parabolic graph is found as: f(b) = (b – 8)² + 4.

A parabola has a lowest point if it opens upward. A parabola has a highest point if it opens downward.

The vertex of the parabola is located at this lowest or highest point.

Vertex form of a quadratic function:

f(x) = a(x – h)² + k, where a, h, and k are constants.

The vertex of the parabola is at because it is translated h horizontal units and k vertical units from the origin (h, k).

(h,k) are the vertex of parabola.

From the given graph:

f(b) is the given function:

Vertex (h,k) = (8, 4)

Thus, h= 8 and k = a = 1, x = b.

Put the values in quadratic function:

f(b) = 1(b – 8)² + 4

f(b) = (b – 8)² + 4

Thus, the correct equation for the given parabolic graph is found as: f(b) = (b – 8)² + 4.

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According to the information, f(x) = 5(x-3)(x+5) and g(x) = (x-3)(x+5).

To have vertical asymptotes at x = 3 and x = -5, the denominator of the function must have factors of (x-3) and (x+5), respectively. We can write the denominator as g(x) = (x-3)(x+5).

To have a horizontal asymptote of y = 5, the degree of the numerator must be the same as the degree of the denominator. Also, the leading coefficients of the numerator and denominator must be equal. Therefore, we can write the numerator as f(x) = 5(x-3)(x+5).

The function can be written as:

f(x) 5(x-3)(x+5)

y(x) = -------------- = -----------------

g(x) (x-3)(x+5)

This function satisfies all the given conditions: it has vertical asymptotes at x = 3 and x = -5, a horizontal asymptote of y = 5, and is continuous for all x ≠ 3, -5. Therefore, f(x) = 5(x-3)(x+5) and g(x) = (x-3)(x+5).

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Answer:

x > 3

Step-by-step explanation:

−8 + x/3 > -7

x/3 > 1

x > 3

We can't simplify anymore, so the answer is x > 3

The missing data value in the project is 25.5.

Range is a statistical measure that represents the difference between the highest and lowest values in a dataset. It is calculated by subtracting the smallest value in the dataset from the largest value.

To find the missing data value, we need to use the given range and the known data values.

The range is the difference between the highest and lowest values in the data set. So, if we sort the given data values in increasing order, we have:

11, 15, 15, 22, 29, 31

The range is 33, which means that:

highest value - lowest value = 33

31 - 11 = 33

So, the missing data value must be between 22 and 29 (since those are the values that are next to each other in the sorted list). To find the exact value, we can take the average of 22 and 29:

(22 + 29) / 2 = 25.5

Therefore, the missing data value is 25.5.

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Answer:

Step-by-step explanation:

i believe it is nearly as hard as my usual amount of challenge

Answer:

To evaluate the composite functions (f◦g), (g◦f), (f◦f), and (g◦g), we need to substitute one function into the other and simplify the resulting expression.

(a) (f◦g)(4):

To find (f◦g)(4), we need to first find g(4) and then substitute it into f(x):

g(4) = 7 - 1/2(4)^2

= 7 - 8

= -1

Now we substitute g(4) = -1 into f(x):

(f◦g)(4) = f(g(4))

= f(-1)

= 3(-1)^2 - 2

= 1

Therefore, (f◦g)(4) = 1.

(b) (g◦f)(2):

To find (g◦f)(2), we need to first find f(2) and then substitute it into g(x):

f(2) = 3(2)^2 - 2

= 10

Now we substitute f(2) = 10 into g(x):

(g◦f)(2) = g(f(2))

= g(10)

= 7 - 1/2(10)^2

= -43

Therefore, (g◦f)(2) = -43.

(c) (f◦f)(1):

To find (f◦f)(1), we need to find f(f(1)):

f(1) = 3(1)^2 - 2

= 1

Now we substitute f(1) = 1 into f(x):

(f◦f)(1) = f(f(1))

= f(1)

= 1

Therefore, (f◦f)(1) = 1.

(d) (g◦g)(0):

To find (g◦g)(0), we need to find g(g(0)):

g(0) = 7 - 1/2(0)^2

= 7

Now we substitute g(0) = 7 into g(x):

(g◦g)(0) = g(g(0))

= g(7)

= 7 - 1/2(7)^2

= -17/2

Therefore, (g◦g)(0) = -17/2.

The diameter of the semicircle is with an area of 76.97 square yards is 14 yards.

Semicircle is half that of a circle, hence the area will be half that of a circle. Area of semi circle = 1/2 × πr²

Where r radius and π is constant pi.

Since we are given the area of the semicircle as 76.97 square yards, we can set up the following equation:

76.97 = 1/2 × (πr²)

Multiplying both sides by 2, we get:

153.94 = πr²

Dividing both sides by π, we get:

r² = 49

Taking the square root of both sides, we get:

r = 7

Therefore, the diameter of the semicircle is: d = 2r  = 2(7) = 14 yards

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there are 3,360 ways in which the top 3 cars can finish the race.

How to Determine the number of ways?

To determine the number of ways in which the top 3 cars can finish the race, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, the order of the cars finishing the race matters.

The number of ways to determine the first place finisher is 16, as any of the 16 cars can finish in first place. Once the first place finisher has been determined, there are only 15 cars remaining, and any one of them can finish in second place. Therefore, there are 15 possible ways to determine the second place finisher.

Similarly, once the first and second place finishers have been determined, there are 14 cars remaining, and any one of them can finish in third place. Therefore, there are 14 possible ways to determine the third place finisher.

To find the total number of ways in which the top 3 cars can finish the race, we can multiply the number of possibilities for each place together:

16 x 15 x 14 = 3,360

Therefore, there are 3,360 ways in which the top 3 cars can finish the race.

It is important to note that this calculation assumes that each car is unique and that there are no ties for any of the top 3 positions. If there were ties, the calculation would become more complicated and would involve combinations as well as permutations.

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The value or measure of following are :-

x = 17.18°

∠JK = 143.78°

∠MJ = 116.48°

∠LMK = 47.17°

A segment of a circle called an arc is made up of two endpoints on the circle and the curve that connects them.

Since the two lines JL and MK intersect at the center of the circle at point N, the angles formed by them are inscribed angles of the circle. Moreover, the angles formed by an inscribed angle and its corresponding arc are equal. Therefore, we can write:

∠JNK = ½ arc JNK = ½(5x+23)° = 2.5x + 11.5°

∠KNL = ½ arc KNL = ½(17x-41)° = 8.5x - 20.5°

We are also given that arc MNJ and LNK are similar, so their corresponding angles are equal. Similarly, arc MNL and JNK are similar, so their corresponding angles are equal. Let's use these facts to find x:

∠MNJ = ∠LNK

The arc MNJ is equal to the sum of arcs MNL and LNK. Therefore, we have:

½(5x+23)° + ½(17x-41)° = ∠MNJ + ∠LNK

2.5x + 11.5° + 8.5x - 20.5° = 2∠MNJ

11x - 9° = 2∠MNJ

∠MNL = ∠JNK

The arc MNL is equal to the sum of arcs MNJ and JNK. Therefore, we have:

½(5x+23)° + ½(8.5x-20.5°) = ∠MNL + ∠JNK

2.75x + 1.5° = 2∠JNK

1.375x + 0.75° = ∠JNK

Since ∠MNJ = ∠LNK and ∠MNL = ∠JNK, we can write:

2∠MNJ + 2∠JNK = 360°

Substituting the expressions we found for ∠MNJ and ∠JNK, we get:

22x - 18° = 360°

22x = 378°

x = 17.18° (rounded to two decimal places)

Now that we know x, we can find the values of the other angles of arc-

∠JNK = 1.375x + 0.75° = 24.43°

∠KNL = 8.5x - 20.5° = 119.35°

∠MNJ = (11x - 9°)/2 = 92.05°

∠LNK = ∠MNJ = 92.05°

∠MNL = 360° - ∠MNJ - ∠JNK = 243.52°

∠JK = ∠JNK + ∠KNL = 143.78°

∠MJ = ∠MNJ + ∠JNK = 116.48°

∠LMK = 360° - ∠MNJ - ∠JNK - ∠KNL = 47.17°

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Each side of Tavon's backyard is 7 meters long.This answer makes sense because a square has four equal sides, so if the perimeter of the square is 28 meters,

How to solve the problem?

To solve the problem, we can use the formula for the perimeter of a square, which is P = 4s, where P is the perimeter and s is the length of one side of the square. Since we know that the fence around Tavon's backyard is 28 meters, we can set this equal to the perimeter of the square and solve for s:

28 = 4s

Dividing both sides by 4, we get:

s = 7

Therefore, each side of Tavon's backyard is 7 meters long.

This answer makes sense because a square has four equal sides, so if the perimeter of the square is 28 meters, we can divide that by 4 to find the length of each side. In this case, we get 7 meters, which is a reasonable length for a side of a backyard. Additionally, since the problem tells us that the backyard is shaped like a square, we know that each side must be the same length, so it makes sense that we would find a single value for s that satisfies the equation P = 4s.

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Your Complete question is :-14. The fence around Tavon's backyard is

28 meters. The backyard is shaped likea square. How long is each side of the backyard?

Answer:

B is the answer

Step-by-step explanation:

The expression that is not equal to the others is B [[2/−5]] The other expressions are A −[[2/5]], C [[−2/5]], and D [[2/5]].

Answer:

[tex]\frac{64}{25}[/tex]

Step-by-step explanation:

[tex]\frac{4^{3} }{5^{2} }[/tex]

4³ = 64

5² = 25

[tex]\frac{64}{25}[/tex] is already in simplest form, so it is the answer.

The value of the test statistic is 6.04 (rounded to two decimal places).

A test statistic is a numerical value that is calculated from sample data and is used in hypothesis testing. It measures how many standard deviations a sample statistic (such as a sample mean or proportion) is away from the hypothesized population parameter.

To find the test statistic, we need to perform a hypothesis test using the given sample data and the claim about the population. We can use a one-sample proportion z-test for this purpose.

Null Hypothesis: p = 0.5 (claim that 50% of adults would erase their personal information online if they could)

Alternative Hypothesis: p > 0.5 (claim that more than 50% of adults would erase their personal information online if they could)

We can calculate the test statistic using the formula:

where:

sample proportion = 0.65

p = hypothesized proportion = 0.5

n = sample size = 415

Plugging in the values, we get:

z = (0.65 - 0.5) / sqrt(0.5 * 0.5 / 415)

z = 6.04

Therefore, the value of the test statistic is 6.04 (rounded to two decimal places).

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The correct statement is

Option (a) g(x) is the graph of f(x) translated 2 units to the right.

The general rule for translating a graph is as follows:

To translate the graph of y = f(x) horizontally by h units, we replace x with (x - h) in the equation of the function.

This implies the graph moving h units to the right if h is positive, or to the left if h is negative.

To translate the graph of y = f(x) vertically by k units, we add k to the equation of the function, resulting in y = f(x) + k.

This implies the graph is moving k units up if k is positive, or down if k is negative.

Here  we have

The graphs of f(x) = x and g(x) = f(x+2)

=> g(x) = x + 2

We observe that the graph g(x) is formed by adding 2 units to the x coordinate of f(x)

Therefore,

The correct statement is

Option (a) g(x) is the graph of f(x) translated 2 units to the right.

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In the equation 1 over 2 x + y=c, the constant proportionality is defined as c. It displays the line's y-intercept and slope.

If the ratio of one statistic to the other is constant, then there is a proportional relationship between the two variables.

The ratio of y to x is the constant of proportionality if x and y have a proportional connection. At times, we can also say that x is to y.

The proportionality constant, or c, in the equation 1 over 2 x + y = c serves as a gauge for how quickly two variables change. The proportionality constant's value doesn't change when the value of one of the variables does.

A linear equation with two variables, x and y, is 1 over 2x + y = c. In the x-y plane, it symbolises a straight line.

If x = 0

Then,

1/2(0) + y = c

y = c

The proportionality constant, c, can be seen in the equation

1 over 2 x + y = c.

This number, which is unrelated to the actual values of the variables, shows the relationship between the two variables x and y.

The slope of the line connecting the two variables is another name for the constant of proportionality.

Two variables, x and y, are included in the equation 1 over 2 x + y = c in addition to the proportionality constant. The two quantities that

are being compared are represented by these variables.

In the equation 1 over 2 x + y=c, the proportionality constant is defined as c. It displays the line's y-intercept and slope.

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The Complete questions as follows-

Explain what the constant of proportionality means in the equation 1 over 2 x + y = c

Therefore, the only answer choice that is greater than 8.191 when rounded to the nearest hundredth is 8.195. So, the answer is (a) 8.195.

A number is a mathematical object used to represent quantity, magnitude, or a position in a sequence. It is an abstract concept used in many areas of mathematics, science, and everyday life.

Here,

In this case, the number we want to exceed is 8.191. We need to find a number that, when rounded to the nearest hundredth, is greater than 8.191. Let's look at each of the answer choices and round them to the nearest hundredth:

a. 8.195 rounds to 8.20 (since the digit in the thousandth place is 5 or greater, we round up the hundredth place)

b. 8.190 rounds to 8.19 (since the digit in the thousandth place is less than 5, we do not round up the hundredth place)

c. 8.193 rounds to 8.19 (since the digit in the thousandth place is less than 5, we do not round up the hundredth place)

d. 8.189 rounds to 8.19 (since the digit in the thousandth place is less than 5, we do not round up the hundredth place)

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if csc(x) = 7 and x is in quadrant II, then cos(x/2) = -√((7 - 4√(3))/14).

How to solve the question?

We can start by using the reciprocal identity of csc to find the sin of x.

csc(x) = 7 can be rewritten as sin(x) = 1/7

Next, we can use the Pythagorean identity to find the cosine of x:

cos²(x) = 1 - sin²(x) = 1 - (1/7)²= 48/49

Since x is in quadrant II, cosine is negative, so cos(x) = -√(48/49) = -4√(3)/7

Now we can use the half-angle identity for cosine to find cos(x/2):

cos(x/2) = ±√((1 + cos(x))/2)

We know that cos(x) is negative and that x is in quadrant II, which means that x/2 is also in quadrant II.

Therefore, cos(x/2) = -√((1 - 4√(3)/7)/2)

We can simplify this expression by rationalizing the denominator:

cos(x/2) = -√((7 - 4√(3))/14)

In summary, if csc(x) = 7 and x is in quadrant II, then cos(x/2) = -√((7 - 4√(3))/14).

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When the two sections are combined, the total number of circles would be ten, representing the value of 5 times 2, which is 10.

Number is a mathematical concept used to quantify or measure a quantity. It is a symbol or group of symbols that stands for a quantity, such as 2, 4, 5, 10, and so on. Numbers are used to express amounts, to count, and to measure. They are also used to represent relationships between quantities and to compare quantities.

A place value disk can be used to represent the value of 5 times 2, which is equal to 10. The disk would have two sections, one representing the number 5 and the other representing the number 2. The number 5 would be represented by five single circles in the “ones” section, and the number 2 would be represented by two single circles in the “ones” section. When the two sections are combined, the total number of circles would be ten, representing the value of 5 times 2, which is 10.

The place value disk is a useful visual tool to help students understand the concept of multiplication. It allows them to clearly see how the number of circles in each section are multiplied to get the final answer. This can help them better understand the concept of multiplication and how it works.

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Complete questions as follows-

Answer: you need to take 200000 steps to earn 2000 points.

Step-by-step explanation:  to earn 2000 points, you need to take 2000 x 100 = 200000 steps.

Answer:

The final exam scores in a statistics class were normally distributed with a mean of and a standard deviation of . Find the probability that a randomly selected student scored more than on the exam. The target inside diameter is but records show that the diameters follows a normal distribution with mean and standard deviation .

Step-by-step explanation:

Answer:

x equals 8 due to 8^2 being 8x8=64

Step-by-step explanation:

Answer: What is the ratio of pulled-pork sandwiches to barbeque chicken sandwiches at the Greenfield Community Picnic?

Let's call the number of pulled-pork sandwiches "P" and the number of barbeque chicken sandwiches "C". According to the problem, the organizers are making 2 pulled-pork sandwiches for every 5 barbeque chicken sandwiches. This means that:

P/C = 2/5

To simplify this ratio, we can multiply both sides by a common factor that will make the denominators the same. In this case, the smallest common multiple of 2 and 5 is 10, so we can multiply both sides by 10:

10(P/C) = 10(2/5)

Simplifying this expression, we get:

2P = 4C

Dividing both sides by 2, we get:

P/C = 2/4

Simplifying this fraction, we get:

P/C = 1/2

Therefore, the ratio of pulled-pork sandwiches to barbeque chicken sandwiches at the Greenfield Community Picnic is 1:2.

Step-by-step explanation:

The expression 10m‾‾√ is an expanded form of the mathematical term ln10.

Check the picture below.

Make sure your calculator is in Degree mode.

[tex]\tan(53^o )=\cfrac{\stackrel{opposite}{17}}{\underset{adjacent}{x}}\implies x=\cfrac{17}{\tan(53^o )}\implies x\approx 12.81~meters[/tex]

The function evaluated in x = 2 is:

3f(2) =12

Here we know that:

f(x) = x^2

And we want to evaluate the expression:

3f(2)

To do that replace x by 2.

3f(2) = 3*(2^2) = 3*4 = 12

That is the value of the expression.

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