What is the quotient?

The triangles which are right triangles as required to be determined in the task content are; Choice A; Triangle 1 and Choice D; Triangle 4.

Recall; the Pythagorean theorem only holds for right triangles.

Therefore, for a triangle to be a right triangle; the square of its longest side must be equal to the sum of squares of its two other sides.

Therefore;

Triangle 1 is a right triangle because; (√106)² = 9² + 5²; 106 = 106.

Triangle 2 is not a right triangle because; (√39)² ≠ 2² + 6²; 39 ≠ 40.

Triangle 3 is not a right triangle because; (√179)² ≠ 6² + 12²; 179 ≠ 180.

Triangle 4 is a right triangle because; (√73)² = 3² + 8²; 73 = 73.

Ultimately, the correct choices are; Choices A ana D.

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373.45 is the answer.

A. The Hardy-Weinberg Equilibrium equation is:

1 = p^2 + 2pq + q^2

- p: the frequency of the dominant allele (S)

- q: the frequency of the recessive allele (s)

- 1: represents the total possibilities or the sum of the allele frequencies

- p^2: the frequency of the homozygous dominant genotype (SS)

- 2pq: the frequency of the heterozygous genotype (Ss)

- q^2: the frequency of the homozygous recessive genotype (ss)

B. After one generation of selection, the frequencies of S and s (p' and q') are as follows:

p' = p^2 + 0.5*(2pq) = 0.49 + 0.21 = 0.70

q' = q^2 + 0.5*(2pq) = 0.09 + 0.21 = 0.30

In this case, after one generation, the frequency of the dominant allele (S) remains the same at 0.70, while the frequency of the recessive allele (s) also remains the same at 0.30.

C. If selection were to operate in the same way for many generations, the eventual frequency of the recessive allele (s) would remain 0.30 based on the Hardy-Weinberg Equilibrium.

D. Taking into account that heterozygotes (Ss) have resistance to malaria and higher reproductive success, and SS individuals have reduced reproductive success, the frequencies of S and s after one generation of selection can be calculated as follows:

p' = 0.6(p^2) + 2pq + 0.9(q^2) = 0.6(0.49) + 0.21 + 0.9(0.09) = 0.585

q' = 0.4(p^2) + 2pq + 0.1(q^2) = 0.4(0.49) + 0.21 + 0.1(0.09) = 0.415

After one generation of selection under the new selective regime, the frequency of the dominant allele (S) is 0.585, and the frequency of the recessive allele (s) is 0.415.

E. Yes, the answer to question IC would change under this new selective regime because natural selection can affect the frequency of alleles. The selection against SS homozygotes and the advantages of heterozygotes (Ss) result in changes in the allele frequencies.

F. Sickle-cell anemia is expected to be more common in West Africa compared to Siberia. This is because malaria is a tropical disease transmitted by tropical mosquitoes, and in West Africa, where malaria is common, the heterozygotes (Ss) have higher reproductive success due to their resistance to malaria.

As a result, the frequency of the recessive allele (s) remains relatively high due to the selective advantage it provides against malaria. In Siberia, where malaria is not prevalent, there would be less selective pressure favoring the sickle cell allele.

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Answer:

35.71%

Step-by-step explanation:

50:140*100 =

(50*100):140 =

5000:140 = 35.71

Answer:

3/-3=-1

Step-by-step explanation:

any number divided by a negative number gives a negative answer

Answer:

x = 15

Step-by-step explanation:

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

Answer:

rhombus

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Each sweater costs $8.30

Step-by-step explanation:

j = jeans

s = sweater

3j + 3s = 105.69

3(26.93) + 3s = 105.69

80.79 + 3s = 105.69

-80.79          -80.79

3s = 24.9

/3   /3

s = 8.3 ($8.30)

Check:

3j + 3s = 105.69

3(26.93) + 3(8.3) = 105.69

80.79 + 24.9 = 105.69

105.69 = 105.69

Hope this helps!

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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The number of phones sold is 26 and the number of accessories sold is 30.

An equation is said to be linear if the maximum power of the variable is usually 1.  A linear equation with one variable has the standard form Ax + B = 0. In this case, x is the variable and A is the coefficient of x, and B is a constant.

In mathematical problems, 'x' stands for unknown value or quantity. Here we use the Linear equation concept to solve the problem.

Given that

Cameron earns an $11 commission for every phone he sells and a $2. 50 commission for every accessory he sells.

On a given day Cameron made a total of $361 in commission from selling a total of 56 phones and accessories sold. ​

Let x and y be the number of phones and accessories

Given that

Cameron made a total of $361 in commission

=> 11x + 2.5y = 361  ----- (1)

Total number of phones and accessories sold

=> x + y = 56

Multiply by 11

=> 11x + 11y = 616 ----- (2)

Do (2) - (1)

=> 11x + 11y - ( 11x + 2.5y) = 616 - 361

=> 11x + 11y - 11x - 2.5y = 255

=> 8.5y = 255

=> y = 255/8.5

=> y = 30  

Substitute y = 30 in x + y = 56  

=> x + 30 = 56

=> x = 26

Therefore,

The number of phones sold is 26 and the number of accessories sold is 30.

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Answer:

points D and B. Answer choices D and E.

Step-by-step explanation:

The point, C, is at -1 1/4. Count over 2 points of either B or D, and you have your answer.

The even functions among the given options are (2) f(x) = x² - 4 and (3) f(x) = x² + 5.

An even function is a function that satisfies the property f(x) = f(-x) for all x in its domain. In other words, if you reflect the graph of an even function across the y-axis, it remains unchanged.

Let's analyze the given functions:

(1) f(x) = sin x: The sine function is not even because sin(-x) is equal to -sin(x), not sin(x). Therefore, (1) is not an even function.

(2) f(x) = x² - 4: To check if this function is even, we substitute -x for x and simplify: f(-x) = (-x)² - 4 = x² - 4. Since f(-x) is equal to f(x), (2) is an even function.

(3) f(x) = x² + 5: To check if this function is even, we substitute -x for x and simplify: f(-x) = (-x)² + 5 = x² + 5. Since f(-x) is equal to f(x), (3) is an even function.

(4) f(x) = x² + 3x³ + 4: To check if this function is even, we substitute -x for x and simplify: f(-x) = (-x)² + 3(-x)³ + 4 = x² - 3x³ + 4. Since f(-x) is not equal to f(x), (4) is not an even function.

In conclusion, the even functions among the given options are (2) f(x) = x² - 4 and (3) f(x) = x² + 5.

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Answer:

Your answer is <, Hope it helps.

Events A and C as well as events B and D are independent.

Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

In the given events, it is not explicitly mentioned how the events are related. However, based on typical assumptions about burrito ingredients and customer preferences, we can make some assumptions:

Assuming that the choice of meat (chicken or carne asada) and the choice of beans (black beans or pinto beans) are independent of each other, we can conclude that events A (The burrito is a chicken burrito) and C (The customer requested black beans) are independent. The choice of chicken meat in the burrito does not affect the probability of the customer requesting black beans.

Similarly, events B (The burrito is a carne asada burrito) and D (The customer requested pinto beans) are independent. The choice of carne asada meat in the burrito does not affect the probability of the customer requesting pinto beans.

So, based on these assumptions, events A and C as well as events B and D are independent.

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The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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An expression is defined as a set of numbers, variables, and mathematical operations. The term that best describes 3 is coefficient.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of 3 in the expression, 9 + 4(x + 2) - 3x, is that it is the coefficient of x in the third term.

Hence, the term that best describes 3 is coefficient.

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The total number of nuts is 15210 and the missing number is 5

Number of cans of mixed nuts = 45 cans

Number of nuts in each can = 338 nuts

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors.

Finding the total number of nuts we get:

Total number of nuts = Number of cans*Number of nuts in each can

\(338\\*45\\= 1690\\+ 13520\\= 15210\)

So, the missing number is 5

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Yes, there is sufficient evidence to refute the publisher's claim that 20% of their readers own a Rolls Royce at the 0.01 level.

The hypothesis test result indicates that the p-value is less than 0.01, which means the null hypothesis can be rejected at a 0.01 level of significance. Therefore, there is evidence to suggest that the true percentage of Rolls Royce owners among the newsletter publisher's readers is less than 20%. This could have implications for the publisher's advertising strategy and target audience.

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Step-by-step explanation:

W=-6, x=1.2, and z=-6/7

(W²x-3)÷10-z

we substitute

((-6²)(1.2)-3)÷10-(-6/7)

((-36)(1.2)-3) ÷10-(-6/7)

(-43.2-3) ÷10(6/7)

(-46.2)÷60/7

-46.2÷60/7

-46.2*7/60

-46.2/1*7/60

-323.4/60

-5.39

Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)

What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?

We know,

By BODMAS rule,

B - Bracket

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

We should maintain the following sequence,

Bracket - Of - Division - Multiplication - Addition - Subtraction

We are applying BODMAS rule.

Here,\(( {w}^{2} x - 3) \div 10 . z\) and w=−6, x = 1.2, and z=−6/7

We are putting value of w,x,z in given expression and get

\(( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69\)

Therefore, Required value of the given term is (-4.69)

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Answer:

Step-by-step explanation:

-4.6+( -1.4)=

-4.6-1.4=-6 maureen is wrong, because both have the minus , so she should add with the minus symbol.

Answer:

12, 18, 24. that finishes the table

Answer: The answer I came up with is:  $237,737

The correct option is: 1 = ∫∫∫r dz dr dθ

By converting the given expression into an equivalent triple integral in cylindrical coordinates, we obtain:

1 = ∫∫∫r dz dr dθ

This option represents the correct conversion of the integral into cylindrical coordinates. The integral is taken over the region defined by the limits of integration for z, r, and θ, which are not provided in the given question.

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1) 25%of50=$12.5. 50-12.5=37.5

2)20%of21=$4.2. 21-4.2=16.8

3)5%of12=$0.6.    12-0.6=11.4

HOPE THIS HELPED!!!

Answer:

1. $37.50

2.$16.80

3. 0.41

Step-by-step explanation:

The matrix equation that can be solved to find the cost of each type of ticket is: Option B:

\(\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right] = \left[\begin{array}{ccc}13.50\\16.50\\14\end{array}\right]\)

Let's define the variables:

Let x represent ticket cost for the Ferris wheel

Let y represent ticket cost for the water slide

Let z represent ticket cost for the merry-go-round

Based on the given information, we can set up the following equations:

Ryan's purchases:

3x + 2y = 13.50

Michelle's purchases:

x + 4z = 16.50

Emily's purchases:

3x + y + z = 14

To form a matrix equation, we can write these equations in matrix form:

\(\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right] = \left[\begin{array}{ccc}13.50\\16.50\\14\end{array}\right]\)

So, that is the matrix equation that can be solved to find the cost of each type of ticket is:

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Answer:

gah dahn nobody knows the answer to dis

Step-by-step explanation:

i wouldn't know a dam thing mf

Answer:

Option 3: (-5, 4)

Step-by-step explanation:

edge2021

Answer:

a) 26

b) 26/3

Step-by-step explanation:

a) 4 and 1/3 = 13/3

13/3 x 6/1 = 13/1 x 2/1

b) 2 and 3/5 = 13/5, 3 and 1/3 = 10/3

13/5 x 10/3 = 13/1 x 2/3

The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Answer: triangle LMN=LON they have equal measurements

<OlM and<LON are Co interior angles

<LOM=<LMN

Step-by-step explanation: