suppose 1000 people enter a chess tournament. the champion is determined in such a way that a player is eliminated after one loss and games are played until only one entrant has not lost.how many games must be played to determine a champion?

The 3 options--1, 2, and 4.

Answer:A, B, E

Step-by-step explanation:

edgenunity

f(x)=3x^2-x

\(\\ \rm\longmapsto f(-2)\)

\(\\ \rm\longmapsto 3(-2)^2-(-2)\)

\(\\ \rm\longmapsto 3(4)-(-2)\)

\(\\ \rm\longmapsto 12-(-2)\)

\(\\ \rm\longmapsto 12+2\)

\(\\ \rm\longmapsto 14\)

Answer:

14

Step-by-step explanation:

f(x) = 3x² - x

To find f(-2), substitute -2 for x into the function f.

Now, use PEMDAS to evaluate the function.

Start by evaluating the exponent.

Next, multiply 3 and 4 and -2 by -1.

Add the two terms together.

The correct answer is f(-2) = 14.

24 = 2x + 4

2x = 20

x = 10

.......................

(3) To the nearest hundredth, the surface integral of 7x F over the sphere of radius 1 centered at the origin in xyz-space, oriented outwards is 0.

     Let F = (x - y, x, xy).

    Evaluate, to the nearest hundredth, the surface integral of 7x F over the sphere of radius 1 centered at the origin in        xyz-space, oriented outwards:

We have F = (P, Q, R) = (x - y, x, xy).

Now we calculate the curl of F to find the normal vector.n = curl F = (dR/dy - dQ/dz, dP/dz - dR/dx, dQ/dx - dP/dy)= (0, -x, 1).Thus we have the surface integral of 7x F over the sphere of radius 1 centered at the origin in xyz-space, oriented outwards is given by:S = ∫∫ F · dS = ∫∫ F · n dS = ∫∫ (7x² + 7xy) dS = 7 ∫∫ x(x + y) dS  ,Where (x, y, z) = (r cos φ sin θ, r sin φ sin θ, r cos θ) and r = 1    

because it is a sphere of radius 1 centered at the origin in xyz-space, oriented outwards.

Now we use the area element dS = r² sin θ dθ dφ to get:S = 7 ∫ from 0 to 2π ∫ from 0 to π [cos φ sin θ (cos φ sin θ + sin φ sin θ)] r² sin θ dθ dφ= 7 ∫ from 0 to 2π ∫ from 0 to π cos φ sin³ θ (cos φ + sin φ) dθ dφ= 7/4 ∫ from 0 to 2π [(cos φ + sin φ)² - 1] dφ= 7/4 ∫ from 0 to 2π cos 2φ dφ= 7/8 [sin 2φ] from 0 to 2π= 0.

To the nearest hundredth, the surface integral of 7x F over the sphere of radius 1 centered at the origin in xyz-space, oriented outwards is 0.

(4) To the nearest tenth, the upward flux of F = (-y, z²) on the surface in xy-space where z = √(2/4 - 2x² - 2y²) is 0.          Determine, to the nearest tenth, the upward flux of F = (-y, z²) on the surface in xy-space , where z = √(2/4 - 2x² - 2y²):   We have F = (P, Q, R) = (-y, z², 0)

Now we calculate the curl of F to find the normal vector.n = curl F = (dR/dy - dQ/dz, dP/dz - dR/dx, dQ/dx - dP/dy)= (-2y, 0, 1).

Thus we have the upward flux of F = (-y, z²) on the surface in xy-space where z = √(2/4 - 2x² - 2y²) is given by:S = ∫∫ F · dS = ∫∫ F · n dS = ∫∫ (-yz²) dSWhere (x, y, z) lies on the surface z = √(2/4 - 2x² - 2y²).

Now we use the area element dS = √(1 + (∂z/∂x)² + (∂z/∂y)²) dxdy to get:S = ∫ from -√(1/8) to √(1/8) ∫ from -√(1/8 - 2x²) to √(1/8 - 2x²) (-y√(1 - 4x² - 4y²)) √(1 + 16x² + 16y²) dxdy= 0.

To the nearest tenth, the upward flux of F = (-y, z²) on the surface in xy-space where z = √(2/4 - 2x² - 2y²) is 0.

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Answer:

$16288.95

Step-by-step explanation:

Use the compound interest formula of y= Initial(1+rate)^years

so y= 10000(1+0.05)^10= $16,288.95

Answer:

D) 15

Step-by-step explanation:

This is an arithmatic progression.

The formula for the sum of arithmatic progression is

\(s = \frac{n}{2} (2a + (n - 1)d)\)

where d is the common difference between successive terms and a is the first term. By applying this formula,

\(120 = \frac{n}{2} (2(1) + (n - 1)(1)) \\ 120 = \frac{n}{2} (1 + n) \\ n(1 + n) = 240 \\ n {}^{2} + n - 240 = 0 \\ (n - 15)(n + 16) = 0 \\ n = 15 \: or \: n = - 16(reject)\)

Step-by-step explanation:

do 1/2 x 4/2 x 3/2 = your answer :)

Answer:

The solution of the system of equations be:

\(x=8,\:y=4\)

Hence, option C is true.

Step-by-step explanation:

Given the system of equations

\(\begin{bmatrix}4x+7y=60\\ -4x+7y=-4\end{bmatrix}\)

adding both the equations

\(-4x+7y=-4\)

\(+\)

\(\underline{4x+7y=60}\)

\(14y=56\)

so the system of equations becomes

\(\begin{bmatrix}4x+7y=60\\ 14y=56\end{bmatrix}\)

solve 14y for y

\(14y=56\)

Divide both sides by 14

\(\frac{14y}{14}=\frac{56}{14}\)

Simplify

\(y=4\)

\(\mathrm{For\:}4x+7y=60\mathrm{\:plug\:in\:}y=4\)

\(4x+7\cdot \:4=60\)

\(4x+28=60\)

Subtract 28 from both sides

\(4x+28-28=60-28\)

Simplify

\(4x=32\)

Divide both sides by 4

\(\frac{4x}{4}=\frac{32}{4}\)

\(x=8\)

Therefore, the solution of the system of equations be:

\(x=8,\:y=4\)

Hence, option C is true.

The number of students at Jefferson School and non-Jefferson school will be 373 and 127, respectively

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

Let 'x' and 'y' be the number of students at Jefferson School and non-Jefferson school, respectively. Then the equations are given as,

x + y = 500                    ...1

5x + 10y = 3135             ...2

From equations 1 and 2, then we have

5(500 - y) + 10y = 3135

2500 - 5y + 10y = 3135

5y = 635

y = 127

Then the value of 'x' is given as,

x + 127 = 500

x = 373

The number of students at Jefferson School and non-Jefferson school will be 373 and 127, respectively

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Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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The owner needs to use approximately 13 pounds of chocolate.

To determine how many pounds of chocolate should be mixed with 24 pounds of trail mix to create a mixture worth $9.84 per pound, we can use the concept of weighted averages. Let's assume x represents the number of pounds of chocolate needed.

The cost of the trail mix is $3.80 per pound, and the cost of the chocolate is $21.00 per pound. We want the resulting mixture to have an average cost of $9.84 per pound.

To find the weighted average, we can use the formula:

(x * $21.00 + 24 * $3.80) / (x + 24) = $9.84

Simplifying the equation gives:

21x + 91.20 = 9.84x + 236.16

11.16x = 144.96

x ≈ 13

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Solving the problem as per a linear equation, it can be proved that q = r.

A linear equation is an algebraic equation in the form of y = mx+ b. The highest power of a variable in a linear equation is always 1. Such equations always form a straight line on the graph.

From equation 1 we can write,

2q - r = 4p.................(1)

or, 2q - 4p = r ( side switched ) ................(2)

Now, 2p = r

or, 4p = 2r and we know 2r = q

Hence, we can write 4p = q ...............(3)

If we put equation (3) in (1)

we will get, 2q - q = r

or, q = r

q = r is proved.

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Answer:

Step-by-step explanation:

b

Answer:

(0, -9)

Step-by-step explanation:

In order to find y-intercept, you have to let x = 0. Therefore:

\(\displaystyle{y=4(0)-9}\\\\\displaystyle{y=-9}\)

Hence, y-intercept is at (0, -9).

Answer:

The y-intercept is -9

(0, -9)

Please give me Brainliest :)

Step-by-step explanation:

The formula, or backbone, of linear equations, is y=mx+b

m=slope

b=y-intercept

In this equation, b=-9, therefore the y-intercept is -9.

(0, -9)

What is Null hypothesis?

The null hypothesis assumes that any difference between the selected attributes in a set of data is attributable to chance. For example, if the predicted earnings for the gambling game are genuinely zero, then any discrepancy between the data's average earnings and zero is due to chance.

(a) The appropriate null and alternative hypotheses for this setting are:

Null hypothesis: The actual mean systolic pressure (μ) of the individual is not greater than 130 (μ ≤ 130).

Alternative hypothesis: The actual mean systolic pressure (μ) of the individual is greater than 130 (μ > 130).

(b) Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, it means that the device recommends that the person seeks medical attention when they do not actually need it. The consequence of this error is that the person may undergo unnecessary medical tests or treatments, which can be costly, time-consuming, and can cause anxiety or other negative effects.

Type II error occurs when the null hypothesis is not rejected when it is actually false. In this case, it means that the device does not recommend medical attention when the person actually needs it. The consequence of this error is that the person may not receive the necessary medical attention and treatment, which can lead to serious health problems, including organ damage or failure, stroke, or heart attack.

(c) In this scenario, the cost of making a Type II error is likely to be much higher than the cost of making a Type I error. The reason is that failing to detect high blood pressure in a person can have serious health consequences. Therefore, it is better to make the Type I error probability smaller and the Type II error probability larger. This means that the device should be adjusted to have a higher threshold for recommending medical attention, which would decrease the likelihood of a false alarm, even if it increases the likelihood of missing some cases where medical attention is needed.

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The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge. According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.

A type I error (false-positive) occurs when a researcher rejects a null hypothesis that is actually true in the population; if the researcher does not do this When a null hypothesis is rejected even when it is false in the population, this is known as a type II error (false-negative).

Parameter Hypothesis testing is a second sort of statistical inference.

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Answer:

24

Step-by-step explanation:

In the given word problem, the rate of change is the change in the cost of the ice cream concerning the change in the number of scoops.

That is, the rate of change is the ratio of the change in the cost of ice cream and the change in the number of scoops. Let's first calculate the initial rate of change or slope of the given deal: When we buy a waffle cone, the cost is $3, and we can buy one scoop of ice cream for $1.50.So, for one scoop of ice cream, the total cost would be 3 + 1.50 = $4.50.

We can represent the cost of one scoop of ice cream with the help of a linear equation: y = mx + b. Here, the slope or the rate of change, m = Change in cost of ice cream/ Change in the number of scoops= 1.5/1= 1.5Therefore, the rate of change of the ice cream with respect to the number of scoops is $1.50/scoop.

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Answer:

Step-by-step explanation:

\(cos\alpha =\sqrt{1-sin^{2} \alpha } =\sqrt{1-(\frac{5}{13})^{2} } =\sqrt{\frac{144}{169} }\)

=\(\frac{12}{13}\)

\(tan\alpha =\frac{sin\alpha }{cos\alpha } =\frac{\frac{5}{13} }{\frac{12}{13} } = \frac{5}{12}\)

Answer:

Step-by-step explanation:

1: Draw a line from the center to point P.

2. Determine the midpoint of OP's perpendicular bisector.

3. Set the compass width to the circular center from the OP's midway.

4. Draw an arc around the circle in two places, forming the letters J and K.

5. Draw the two potential tangent lines from P to J and K. The two lines are tangents to the circle passing through P.

Answer:

$0.84, 84 cents per pound.

Step-by-step explanation:

I hope that this helps. Have a good day!!

9.24 ÷ 11 = 0.84

a. If ⁿ√(aᵇc^d) = acⁿ√(aᵇc^d) the relationship between exponents b and d is b - d = 3

b. If (aᵇc^d)^-N = (a^N)^-(b + d) then exponents a = c

Exponents are powers to which a number is raised.

Since a, b, c , and N are positive numbers

a. If \(\sqrt[N]{a^{b} c^{d} } = ac\sqrt[N]{a^{b} c^{d} }\), we need to find the relationship between exponents b and d.We proceed as follows

Since we have  \(\sqrt[N]{a^{b} c^{d} } = ac\sqrt[N]{a^{b} c^{d} }\), raising both sides to the power of N, we have that

\((\sqrt[N]{a^{b} c^{d} } )^{N} = ( ac\sqrt[N]{a^{5} c^{2} })^{N} \\{a^{b} c^{d}= a^{N}c^{N} a^{5} c^{2}\\\\{a^{b} c^{d}= a^{N + 5}c^{N + 2}\)

Equating the exponents,we have that

b = N + 5 and d = N + 2

So, subtracting b from d, we have that

b - d = N + 5 - (N + 2)

= N + 5 - N - 2

= N - N + 5 - 2

= 0 + 3

= 3

b - d = 3

So, the relationship is b - d = 3

b. If instead \((a^{b} c^{d} )^{-N} = (a^{N})^{-(b + d)}\). To find what must be true about a and c, we proceed as follows.

If  \((a^{b} c^{d} )^{-N} = (a^{N})^{-(b + d)}\).

Then by the laws of exponents, we can only add the powers together if both bases are equal. Thus since  \((a^{b} c^{d} )^{-N} = (a^{N})^{-(b + d)}\), so a = c

So, a = c

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Answer:

2916 ft³

Step-by-step explanation:

•the diameter of the sphere is 18 ft , to find the radius(r) you have to divide it by 2 ,

•which gives 9ft .

•And they also told you to take the value of pie as 3.

•So, substitute the values into the formula given for V and you will have your answer.

Hope I was able to help:))

Answer: D

Explanation: y = 5x + 8

PLz mark brainliest:)

Answer:

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

Answer:

Whatever makes the statement true.

Step-by-step explanation:

Example:

19=3x+1

Subtract 1 from both sides.

19-1=3x+1-1

18=3x

Divide both sides by 3.

18/3=(3x)/3

When x is alone on one side, the answer is on the other. In this case…

6=x

If you plug in 6 for x, you get 19.

3(x)+1=19

3(6)+1=19

3(6)=18

18+1=19

Using the relation between velocity, distance and time, it is found that the expression for the total time is given by:

\(t = \frac{9}{2x}\)

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\).

Denise bikes 3 miles to her friend's house, hence:

\(v_1 = \frac{3}{t_1}\)

\(t_1 = \frac{3}{v_1}\)

The average rate biking to her friend's house is twice the average rate coming home, hence, on the return, \(v_2 = 0.5v_1\):

\(v_2 = \frac{3}{t_2}\)

\(t_2 = \frac{3}{v_2}\)

\(t_2 = \frac{3}{0.5v_1}\)

\(t_2 = \frac{6}{v_1}\)

The total time is given by, considering \(v_1 = 2v_2 = 2v = 2x\), as we want to consider x the rate coming home:

\(t = t_1 + t_2\)

\(t = \frac{3}{2x} + \frac{6}{2x}\)

\(t = \frac{9}{2x}\)

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Answer:

see below

Step-by-step explanation:  6  23  17  30

the length CD is  the square root of the delta X value squared + the delta Y value squared

a² + b² = c²   is the common form for this problem use

ΔX² + ΔY² = CD²

ΔX = X2 - X1        ΔY = Y2 - Y1

ΔX = 2 - (-2)        ΔY = 5 - (-5)

ΔX = 4                ΔY = 10

4² + 10² = CD²

16 + 100 = CD²

116  = CD²

√116  =  √CD²  = CD

√(4 × 29)  = CD

2√29  = CD    the first option

The derivative for y=eu(x); u(x) is a function in terms of x is dy/dx = eu'(x) + u(x)e .

A derivative is the rate of change of a function with respect to a certain variable . There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :

This equation can be solved using the product rule of derivatives :

According to the product rule derivative of uv will be taken as -
                                             u(v)' + v(u)'
where (') represents derivative of the variable.

Therefore accordingly -
                                        y = eu(x)

                                    differentiating with respect to x
                                    dy/dx = e(u(x))' + u(x)(e)'
                                    dy/dx = eu'(x) + u(x)e     ( derivative of e=e)
Therefore the derivative in terms of x is dy/dx = eu'(x) + u(x)e .

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