In a chess tournament, each player plays every other player exactly once. If it is known that 36 games were played, how many players were there in the tournament?

Disruptive selection is a type of natural selection that favors extreme values of a trait while reducing the fitness of individuals with intermediate values. This pattern occurs when the environment or selective pressures favor individuals at both ends of the phenotype distribution.

Disruptive selection occurs when individuals with extreme phenotypes have higher fitness compared to those with intermediate phenotypes. This can happen in various scenarios. For example, in a habitat with two distinct resource types, individuals with specialized traits for each resource type may have higher survival or reproductive success, leading to the maintenance of two distinct phenotypes.

In disruptive selection, the selection pressure against intermediate phenotypes reduces their fitness, causing a bimodal distribution where individuals at the extremes have higher relative fitness compared to those in the middle. Over time, disruptive selection can result in the divergence of the population into two or more distinct forms, potentially leading to the formation of new species if reproductive isolation occurs.

This type of selection can play a significant role in shaping the evolution and adaptation of populations by promoting and maintaining phenotypic diversity in response to selective pressures.

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The area covered in tiles is given as follows:

423.3 ft².

The dimensions of the rectangular region of the pool are given as follows:

20 ft and 30 ft.

Hence the entire area is given as follows:

20 x 30 = 600 ft².

(formula for the area of triangle).

The radius of the pool is given as follows:

r = 7.5 ft.

(as the radius is half the diameter).

Hence the area of the pool is given as follows:

A = π x 7.5²

A = 176.7 ft².

(formula for the area of circle).

Hence the area that will be covered in tiles is given as follows:

600 - 176.7 = 423.3 ft².

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Answer:

D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.

Step-by-step explanation:

The explanation of the sufficient candles that are required to check whether she reach her goal or not is as follows:

She makes 480 candles that come from

= 24 candles each days × 20 days

= 480 candles

Now if we divide the 480 candles from 15 so we get 32

This is less than the minimum candles required i.e. 35

So, the option D is correct

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: 2a + 3b - c = 13i+16j+ 14k\)

\(\qquad \tt \rightarrow \: a - 2b + 4c = 16i+ 3j- 22k \)

\(\qquad \tt \rightarrow \: 5a + 2b - c = 14i+ 21j- 5k \)

\(\qquad \tt \rightarrow \: a - b - 3c = - 21i - 7j - 8k \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \large \rm \: (i) \: 2a + 3b - c\)

\(\qquad \tt \rightarrow \: 2(2i + 3j - 4k) + 3(5i + 4j + 7k) - (6i + 2j - k)\)

\(\qquad \tt \rightarrow \: 4i + 6j - 8k + 15i + 12j + 21k- 6i - 2j + k\)

\(\qquad \tt \rightarrow \: (4i + 15i -6i )+( 6j + 12j - 2j) + (- 8k + 21k + k )\)

\(\qquad \tt \rightarrow \: 13i+16j+ 14k\)

____________________________________

\(\qquad \large \rm \: (ii) \: a - 2b + 4c\)

\(\qquad \tt \rightarrow \: (2i + 3j - 4k) - 2(5i + 4j + 7k) + 4(6i + 2j - k)\)

\(\qquad \tt \rightarrow \: 2i + 3j - 4k -10i - 8j - 14k + 24i + 8j - 4k\)

\(\qquad \tt \rightarrow \:( 2i - 10i + 24i)+ (3j -8j + 8j ) + ( - 4k - 14k - 4k)\)

\(\qquad \tt \rightarrow \:16i+ 3j - 22k \)

____________________________________

\(\qquad \large \rm \: (iii) \:5 a + 2b - c\)

\(\qquad \tt \rightarrow \: 5(2i + 3j - 4k) + 2(5i + 4j + 7k) - (6i + 2j - k)\)

\(\qquad \tt \rightarrow \: 10i + 15j - 20k + 10i + 8j + 14k - 6i - 2j + k\)

\(\qquad \tt \rightarrow \:( 10i + 10i - 6i )+ (15j + 8j - 2j) + (- 20k + 14k + k )\)

\(\qquad \tt \rightarrow \:14i+ 21j- 5k \)

____________________________________

\(\qquad \large \rm \: (iv) \: a -b -3c\)

\(\qquad \tt \rightarrow \: (2i + 3j - 4k) - (5i + 4j + 7k) -3 (6i + 2j - k)\)

\(\qquad \tt \rightarrow \: 2i + 3j - 4k - 5i - 4j - 7k -18i - 6j + 3 k\)

\(\qquad \tt \rightarrow \: (2i - 5i - 18i) +( 3j - 4j - 6j ) + (- 4k - 7k + 3 k)\)

\(\qquad \tt \rightarrow \: - 21i - 7j - 8k\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

1,176 | 588

Step-by-step explanation:

118 + 168 + 151 + 151 = 588

588 x 2 = 1,176

The definition of an eigenvector of A with eigenvalue λ.

True.

By definition, an eigenvector of a matrix A is a non-zero vector x that satisfies the equation Ax = λx, where λ is a scalar called the eigenvalue corresponding to x.

So if Ax = λx for some scalar λ, then x is a non-zero vector that satisfies the definition of an eigenvector of A with eigenvalue λ.

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Answer:

The formula for the tripling time (t3) of an exponential growth model with relative growth rate k is: t3 = ln(3)/k

Step-by-step explanation:

To find the tripling time (t3) of an exponential growth model, we'll use the formula for exponential growth, which is:

P(t) = P0 * e^(k*t)

Here, P(t) represents the population at time t, P0 is the initial population, k is the relative growth rate, and t is the time.

To find the tripling time (t3), we want the population to triple, so we'll set P(t) = 3 * P0: 3 * P0 = P0 * e^(k*t3)

Now, we'll solve for t3:

1. Divide both sides by P0: 3 = e^(k*t3)

2. Take the natural logarithm (ln) of both sides: ln(3) = ln(e^(k*t3))

3. Use the logarithm property: ln(a^b) = b*ln(a): ln(3) = k*t3

4. Solve for t3: t3 = ln(3)/k

So, the formula for the tripling time (t3) of an exponential growth model with relative growth rate k is: t3 = ln(3)/k

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To answer your question, we need to know some additional information such as the initial velocity of the ball and the equation of the parabolic path it follows. Without this information, we cannot determine the exact distance from the tree house or the height of the ball. However, we can make some assumptions based on typical scenarios.

Assuming that Emily threw the ball with a moderate force, we can estimate the distance from the tree house to be around 10-20 feet. The height of the ball would depend on how high the tree house is, but we can assume it is around 10-15 feet.

To find the distance from the tree house where the ball strikes the ground, we need to know the equation of the parabolic path. Without this information, we cannot determine the exact distance. However, we can estimate the range of the ball based on typical scenarios. Assuming that Emily threw the ball at an angle of around 45 degrees and with a moderate force, the ball would travel around 50-100 feet before hitting the ground.

In summary, without more information about the initial conditions and the equation of the parabolic path, we can only make estimates of the distance from the tree house and the height of the ball, and an educated guess about the distance the ball traveled before hitting the ground.

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The product of the radical expression is  - 49 + 13√7. option B is the correct answer

From the question, we have

(7-√7)(-6+√7)

= (7) × (-6) + (-√7) × (√7) + (-√7) × (-6) + (7)(√7)

= -42 - 7 + 6√7 + 7√7

= - 49 + 13√7

The product of the radical expression is  - 49 + 13√7

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. 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. Repeated addition of the same number is made easier by multiplying the numbers.

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Para planificar su cosecha y garantizar una buena ganancia, Guillerno necesita utilizar la ecuación de utilidad.

En un negocio, la utilidad se refiere a la ganancia neta de una empresa o la diferencia entre el total de dinero que se gana y los gastos o inversión.

La utilidad se calcula a partir de la siguiente ecuación:

Esta ecuación requiere saber los posibles costos y los ingresos totales para calcular la utilidad de un producto y así mismo planear la cantidad del producto a vender.

Nota: Esta pregunta está incompleta porque no hay información sobre los costos, posbiles ganancias, etc. de Guillermo. Debido a lo anterior, la respuesta se basa en conocimiento general.

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Answer:50400cm2

Step-by-step explanation:lxWxH

Answer:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

Step-by-step explanation:

The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.

To use Lagrange multipliers, we first need to set up our objective function and constraint equation. Constructing a box with dimensions 12x12x6 feet will minimize the cost of construction.

Our objective is to minimize the cost of constructing the box, which is equal to:

C = 5xy + 2(3xy + 3xz + 3yz)

where x, y, and z are the dimensions of the box, and we have broken up the cost into the bottom and sides/top respectively. Our constraint is that the volume of the box must be 480 cubic feet, so:

xyz = 480

To use Lagrange multipliers, we set up the following equation:

∇C = λ∇(xyz)

where ∇C is the gradient of our objective function, ∇(xyz) is the gradient of our constraint equation, and λ is our Lagrange multiplier.

Taking the partial derivatives of our objective and constraint functions, we get:

∇C = (5y, 5x, 6x + 6y)
∇(xyz) = (yz, xz, xy)

Setting these equal and solving for λ, we get:

5y / yz = 5x / xz = (6x + 6y) / xy = λ

Simplifying, we get:

x = y = 2z

Substituting this into our constraint equation, we get:

4z^3 = 480

z = 6

Substituting this back into our dimensions, we get:

x = y = 12

So the minimum cost of constructing the box is:

C = 5(12)(12) + 2(3(12)(12) + 3(12)(6) + 3(12)(6)) = $1,296

Therefore, constructing a box with dimensions 12x12x6 feet will minimize the cost of construction.

To find the minimum cost for constructing a 480 cubic feet box with the bottom costing $5 per square foot and the top and sides costing $3 per square foot, we can use Lagrange multipliers. Let the dimensions of the box be length (x), width (y), and height (z).

First, we need to define the constraint function:
G(x, y, z) = xyz - 480 (the volume constraint)

Next, define the cost function:
C(x, y, z) = 5xy + 3(xz + yz + xy) (cost of bottom + cost of top and sides)

Now, we use the Lagrange multiplier λ and set the gradient of the cost function equal to the gradient of the constraint function multiplied by λ:
∇C(x, y, z) = λ∇G(x, y, z)

This results in a system of equations:

5y + 3z + 3y = λy
5x + 3z + 3x = λx
3x + 3y = λz

We also have the constraint equation:
xyz = 480

Solve this system of equations to find the optimal dimensions x, y, and z. Then, plug these dimensions into the cost function C(x, y, z) to find the minimum cost for constructing the 480 cubic feet box.

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Answer:

90 Minutes

Step-by-step explanation:

7020 divide by 78 = 90

Answer:

See below picture.

Explanation:

y=2 has a y-intercept of 2, so we start graphing there. with most equations, we would follow the slope starting from that point, but y=2 doesn't have a slope. The 2 stays going all the way "across" for all x-values. I used demos to graph.

To answer this question, we need to use the standard normal distribution to find the 97th percentile. We need to normalize the given values, and then equates the equation to that value when the probability is equal to 97%.

Then, we have:

We have that the raw value is the one we need to find. Then, we need to find, using the standard normal distribution table, to find the z-score for a probability of 97%. Then, we have that, for this value, the corresponding z-score is, approximately, z = 1.88. Thus, we have:

Then, we have

Therefore, the 97th percentile is, approximately, equal to x = 8.51 (rounding the value to the nearest hundredth) or x = 8.5092.

To maximize the enclosed area of the ostrich pens, the farmer should build rectangular pens. 35. The rectangular ostrich pen with 350 feet of fencing material should be built as a square, with each side measuring 87.5 feet. The maximum enclosed area would be 7,656.25 square feet. 36. The rectangular ostrich pen built along the side of a river with 540 feet of fencing material should have two equal sides measuring 135 feet, and one side along the river. The maximum enclosed area would be 18,225 square feet. 37. The rectangular ostrich pen with 1000 feet of fencing material should be divided into three equal sections with two interior fences. Each section should measure 166.67 feet by 333.33 feet. The maximum enclosed area would be 55,555.56 square feet.

35. For a rectangular ostrich pen with 350 feet of fencing material, let the width be x and the length be y. The perimeter equation will be 2x + 2y = 350, which simplifies to x + y = 175. To maximize the area (A), we have A = xy, so we need to find the optimal dimensions. When x = y (i.e., a square), the maximum area is enclosed. In this case, x = y = 87.5 feet, and the maximum area is 87.5 * 87.5 = 7656.25 square feet. 36. For the rectangular pen built along the river, only three sides of fence are needed. Let x be the width (parallel to the river) and y be the length (perpendicular to the river). The fencing equation is x + 2y = 540. To maximize area (A = xy), we need to find the optimal dimensions. By setting y = (540 - x)/2 and substituting into the area equation, we get A = x(270 - x/2). The maximum area occurs when x = 270, so y = 135. The maximum enclosed area is 270 * 135 = 36,450 square feet. 37.

For the rectangular pen with 1000 feet of fencing material and divided into three equal sections, let x be the width and y be the length of each section. The fencing equation is 3x + 4y = 1000. To maximize area (A = 3xy), we need to find the optimal dimensions. Setting y = (1000 - 3x)/4 and substituting into the area equation, we get A = 3x(250 - 3x/4). The maximum area occurs when x = 100, so y = 150. The maximum enclosed area is 3 * 100 * 150 = 45,000 square feet.

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Answer:

Pineapple juice = 2 cups

Step-by-step explanation:

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice does Francine use for 1 cup of orange juice

Pineapple juice : Orange juice

2/3 cup : 1/3 cup

how many cups of pineapple juice does Francine use for 1 cup of orange juice

Let x = cups of pineapple juice

Pineapple juice : Orange juice

x cup : 1 cup

Equate the ratios

2/3 cup : 1/3 cup = x cup : 1 cup

2/3 ÷ 1/3 = x / 1

2/3 × 3/1 = x / 1

6/3 = x / 1

Cross product

6 * 1 = 3 * x

6 = 3x

x = 6/3

x = 2

Pineapple juice = 2 cups

36 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle is isosceles => two sides are equal,that means that angles are equal too

x=180-72*2

x=180-144

x=36

It will be nice if you give me brainliest. Good luck!

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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Answer:

So to get the length of the side of this cube you have to find the cube root of 216 . And that is 6.( Use the trick that you can learn on you tube to find out the cube root .)

So a cube has equal lengths width and heights . This means that each of the cube's six faces is a square . The total surface area is therefore six times the area of one face.. to work out one face area .you multiply one width by height . . In this case it is 6 X 6 = 36

36 cm squared. Is one cube face . Multiply this by 6 for each of the 6 faces. 36X6 = 216 cm2 . In this case volume is equal to surface area of once face x 6 .

Step-by-step explanation:

I'm not sure if i did right or not but i hope it helps

Answer:

Step-by-step explanation:

Answer:

i think it c

Step-by-step explanation:

sorry if i wrong

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

The solution to the system of equations be:

Step-by-step explanation:

Given the system of equations

\(x-2y = 10\)

x + 3y = 5

Solving the system of equations using the elimination method

\(\begin{bmatrix}x-2y=10\\ x+3y=5\end{bmatrix}\)

subtracting the equations

\(x+3y=5\)

\(-\)

\(\underline{x-2y=10}\)

\(5y=-5\)

solving 5y = -5 for y

\(5y=-5\)

Divide both sides by 5

\(\frac{5y}{5}=\frac{-5}{5}\)

Simplify

\(y=-1\)

For x - 2y = 10 plug in y = -1

\(x-2\left(-1\right)=10\)

Apply rule  -a(-a) = a

\(x+2\cdot \:1=10\)

Multiply the numbers:  \(2\cdot \:1=2\)

\(x+2=10\)

subtract 2 from both sides

\(x+2-2=10-2\)

Simplify

\(x=8\)

Therefore, the solution to the system of equations be:

The graph of the solution to the system of equations is also attached below.

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

1. Replace the white bread with whole grain bread
2. Replace the turkey with a leaner meat, such as chicken or turkey bacon
3. Replace the mayonnaise with low-fat Greek yogurt
4. Replace the provolone cheese with a lower-fat cheese such as mozzarella
5. Reduce the amount of lettuce used
6. Replace the tomato slice with tomato slices or tomato paste.

To lower the fat content of the sandwich, you can make these changes:

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There are three conditions for inference, which are:The sample is representative of the population.The sample size is sufficiently large.The sampling distribution is normal since the sample size is large enough.Below are the necessary steps to determine if the conditions for inference are met.

Step 1: Identifying the Population and Parameter Let p be the proportion of puppies that are house-trained by the time they are 6 months old. Since the objective is to determine if there is sufficient evidence to claim that p > 0.75, this implies that the hypothesis of interest is the alternative hypothesis which is:H1: p > 0.75 The null hypothesis, which is the complement of the alternative hypothesis, is:H0: p ≤ 0.75 Step 2: Checking the Randomization Condition The randomization condition is met if we assume that the 50 puppies are randomly selected from the population of all puppies.

The randomization condition is met.Step 3: Checking the Sample Size Condition A sample size of 50 puppies is not a small sample size, and this condition is met.Step 4: Checking the Independence Assumption It is assumed that the 50 puppies are independent. tribution to calculate the p-value or use the z-test for proportion to carry out the hypothesis test for the claim that more than 75% of puppies are house-trained by the time they are 6 months old.

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Answer:

I do believe the answer is A

16.15 is the value of ZY in triangle .

What is known as a triangle?

The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point.

                        The triangle's three angles add up to 180 degrees. There are three straight sides to this two-dimensional shape. An example of a 3-sided polygon is a triangle. Three triangle angles added together equal 180 degrees.

In ΔUST and ΔZXY

     UT/ZY =  UA/ZB

     8.5/ZY =  6/11.4

     6 *  ZY =  11.4 * 8.5

            ZY = 96.9/6

                  = 16.15

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Answer:

100% means “100 out of 100” — in other words, everything. So when you say you have 100% confidence in someone, you mean that you have complete confidence in them. But a lot of times, percentages larger than 100% are perfectly reasonable.!

Answer:

"Improper Fraction"

Step-by-step explanation:

An improper fraction is a fraction where the numerator exceeds the denominator. When the percent is over 100%, then technically the numerator is exceeding the denominator when the percentage is converted to a fraction.

Example:

You can go further by making it a proper fraction but that is beyond the current problem we are solving.