What percentage of 6th graders and vinallia 60 perent

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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The jogger's average speed is 0.1 km per minute.

To calculate the average speed, we divide the total distance covered by the total time taken. In this case, the jogger covered a total distance of 7.0 km and took a total time of 70 minutes. Dividing 7.0 km by 70 minutes gives us an average speed of 0.1 km per minute. This means that, on average, the jogger covers 0.1 km of distance in one minute.

To calculate the average speed in km per minute, we need to find the total distance covered and the total time taken.

Total distance = 4.0 km + 2.0 km + 1.0 km = 7.0 km

Total time = 32 minutes + 22 minutes + 16 minutes = 70 minutes

Average speed = Total distance / Total time = 7.0 km / 70 minutes = 0.1 km/minute

Therefore, the jogger's average speed is 0.1 km per minute.

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\(x=8\) and \(y=8\) are the two positive integers whose sum is \(16\) and sum of their squares is minimum.

What is optimum value ?

The optimum value is a minimum or maximum value of the objective function over the feasible region of an optimization problem.

If a function is strictly increasing in a definite interval and increases up to a fixed value and after this, it starts decreasing, then that point is called maximum point of the function and value of function at that point is called maximum value.

If a function is strictly decreasing in a definite interval and decreases up to a fixed value and after this, it starts increasing, then that points is called minimum point of the function and the value of function at that point is called minimum value.

Conditions for finding maxima and minima

The conditions for maxima and minima for a function \(y=f(x)\) at a point \(x=a\)  are as follow:

1. Necessary condition

for maxima and minima, the necessary condition is

\(f'(x)=\frac{dy}{dx}\)

2.Suffiecient condition

for maxima and minima, the  necessary condition are

for maximum value

at \(x=a,\frac{d^2y}{dx^2}\) should be negative.

for minimum value

at \(x=a, \frac{d^2y}{dx^2}\) should be positive.

The sum of two positive number is \(16\).

We have to find the maximum and minimum value for the sum of their squares.

The sum of two positive number is 16.

let the number be \(x\) and \(y\), such that \(x > 0\) and \(y > 0\)

sum of the number is \(x+y=16\)

sum of squares of the number \(S=x^2+y^2\)

\(x+y=16\\y=16-x ----------1\\S=x^2+y^2\\S=x^2+(16-x)^2-----------2\)after substituting the value of y from equation 1

for finding the maximum and minimum of given function we can find it by differentiating the function with \(x\) equal it to \(0\)

Differentiate the equation 2

\(\frac{dS}{dx} =\frac{d}{dx}[x^2+(16-x)^2]\\\frac{dS}{dx}=\frac{d}{dx}(x^2)+\frac{d}{dx}(16-x^2)\\ \frac{dS}{dx}=2x+2(16-x)(-1)---------3\)

Now equating the first derivative equal to zero

so, \(\frac{dS}{dx}=0\)

\(2x+2(16-x)(-1)=0\\2x-2(16-x)=0\\2x-32+2x=0\\4x-32=0\\4x=32\\x=\frac{32}{4}=8\)

As \(x > 0, x=8\)

Now, for checking if the value of \(S\) is minimum or maximum at \(x=8\), we will perform the second derivative of \(S\) with respect to \(x\)

\(\frac{d^2S}{dx^2}=\frac{d}{dx}[2x+2(16-x)(-1)]\\\frac{d^2S}{dx^2}=\frac{d}{dx}[2x-2(16-x)]\\\frac{d^2S}{dx^2}=\frac{d}{dx}(2x)-2\frac{d}{dx}(16-x)\\\frac{d^2S}{dx^2}=2-2(0-1)\\\frac{d^2S}{dx^2}=2-0+2=4\\\frac{d^2S}{dx^2}=4\)

According to the sufficient condition if the second derivative is positive then the value is minimum

hence for \(x=8\) will be the minimum point of the function \(S\).

Therefore the function \(S\) sum of squares of the two number is minimum at \(x=8\)

from equation \(1\)

\(y=16-x\\y=16-8\\y=8\)

Therefore , \(x=8\) and \(y=8\) are the two positive numbers whose sum is \(16\) and the sum of their squares is minimum.

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Answer:

\((k+9)(k-9)\)

Step-by-step explanation:

\(k^2-81\)

\(k^2-9^2\)

Apply the difference of squares formula: \(x^2-y^2=\left(x+y\right)\left(x-y\right)\)

Thus, \(k^2-9^2=\left(k+9\right)\left(k-9\right)\)

Answer:

a and d are the only options that is 4 times the sum of 257 and 8

Step-by-step explanation:

plz add it as brainliest

Step-by-step explanation:

6x-7+3x-29=180 (corresponding angle)

9x-36=180

9x=180+36

9x=216

x=24.

6x-7=8y+17

144-7-17=8y.

8y=120

y=15.

therefore, x=24°, y=15°.

hope this helps you.

Answer:

25% increase in records

Step-by-step explanation:

25% = 1/4

1/4 of 12 = 3

she got 3 new records, therefore a 25% increase

let the n'th term be called x, and the value of the term y,

then there is a function y=a*x + b

that will give us all term we want.

this formula is also used for straight lines.

we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula

10.5 = a*12 + b

13.5 = a*18 + b

now lets manipulate these lines.

multiply the first line by 3 and the second line by 2

31.5 = a*36 + 3b

27 = a*36 + 2b

subtract the second line from the first line

4.5 = b

yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.

10.5 = a*12 + 4.5

6 = a*12

0.5 = a

now y=a*x + b can be filled with a and b

y = 0.5 * x + 4.5

for x=1 (the first term) it's f(1)=5

each step is 0.5, hence the common difference.

(13.5-10.5)/(18-12)

= 3 / 6

= 0.5

we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.

from step 12 to step one it's 11 steps down

10.5 - 0.5*11

= 10.5 - 5.5

= 5

Answer:

median then mean then range

According to the given information, (yn) is convergent.

What is the convergence and divergence of the sequence?

Convergence: A sequence approaches a fixed number as the number of terms increases.

Divergence: A sequence does not approach a fixed number as the number of terms increases.

Yes, (yn) is convergent.

Since (xn) is a convergent sequence, it has a limit L, which means that for any ε > 0, there exists an N such that |xn - L| < ε for all n ≥ N.

Now, let ε > 0 be given. Then, there exists an M such that |xn - yn| < ε for all n ≥ M.

Combining these two inequalities, we have:

|yn - L| = |yn - xn + xn - L|

≤ |yn - xn| + |xn - L|

< ε + ε (for all n ≥ M)

Therefore, we have shown that for any ε > 0, there exists an M such that |yn - L| < 2ε for all n ≥ M.

Since 2ε can be made arbitrarily small by choosing ε small enough, this implies that (yn) converges to L, the limit of (xn).

Hence, (yn) is also convergent.

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The solution to the initial value problem is:

y(t) = (-3/4) * e^(-4t+4) + (3/8) * e^(2t+8)

To solve a second-order linear homogeneous differential equation the equation is y′′ 2y′-8y = 0.

Given initial conditions: y(102) = 3 and y′(102) = -12.

To solve this differential equation, we can use the characteristic equation: r^2 + 2r - 8 = 0

Factoring this equation, we get: (r + 4)(r - 2) = 0

So the roots of the characteristic equation are r = -4 and r = 2.

The general solution to the differential equation is:

y(t) = c1 * e^-4t + c2 * e^2t

To find the values of c1 and c2, we can use the initial conditions.

We know that y(102) = 3, so we can substitute t = 2 into the general solution:

3 = c1 * e^-8 + c2 * e^4

We also know that y′(102) = -12, so we can take the derivative of the general solution and substitute t = 2:

y′(t) = -4c1 * e^-4t + 2c2 * e^2t

y′(102) = -4c1 * e^-8 + 2c2 * e^4 = -12

Solving for c1, we get:

c1 = (-3/4) * e^4 + (3/4) * e^-8

Solving for c2, we get:

c2 = (3/8) * e^8 - (3/8) * e^-4

Therefore, the solution to the initial value problem is:

y(t) = (-3/4) * e^(-4t+4) + (3/8) * e^(2t+8)

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Answer:

y = -1/3x -3

Step-by-step explanation:

Lines

Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point-slope form.

y = 3x + 5 is q. It has a slope of 3. So, p will have a slope of -1/3.

y - y1 = m ( x - x1)

y - (-5) = -1/3 ( x - 6)

y + 5 = - 1/3x + 2

y = -1/3x - 3

The expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The local gym is offering this new promotion:

An enrollment fee of $40 and a monthly fee of $30.

Let m be the total number of months

Total monthly fee = 30m

Total cost(including the enrollment fee of $40) = 40 + 30m

Let the total cost is c:

c = 40 + 30m

If in the linear expression, one variable is present, then the bis known as the linear expression in one variable.

Thus, the expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

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Answer:

4x-4=-4x+6

Step-by-step explanation:

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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Answer:

yes

Step-by-step explanation:

SAS angle e is vertical angles

The required  cost of each shirt is $21.28.

A mathematical statement known as an equation is made up of two expressions joined together by the equal symbol. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the quantity x is 7.

The total cost of 3 identical shirts, including shipping, is $71.83. So we can write the equation as:

3s + 7.99 = 71.83

To solve for the cost of each shirt, we need to isolate the variable "s" on one side of the equation. We can start by subtracting 7.99 from both sides:

3s = 63.84

Then, we can divide both sides by 3:

s = 21.28

Therefore, the cost of each shirt is $21.28.

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The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

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Pipelining is a technique that breaks down a complex task into smaller, simpler tasks that can be performed in parallel. This allows the computer to complete the task more quickly than if it were to perform the task sequentially.

Pipelining is a common technique used in computer architecture. It is a way of breaking down a complex task into smaller, simpler tasks that can be performed in parallel. This allows the computer to complete the task more quickly than if it were to perform the task sequentially. For example, consider the task of adding two numbers. This task can be broken down into the following smaller tasks:

Fetch the first number from memory.

Fetch the second number from memory.

Add the two numbers together.

Store the result in memory.

If these tasks were performed sequentially, the computer would have to wait for each task to complete before it could start the next task. This would take a long time. However, if these tasks were performed in parallel, the computer could start working on the next task as soon as the previous task was finished. This would allow the computer to complete the task much more quickly.

The theoretical speedup in a system that uses pipelining is equal to the number of stages in the pipeline. The theoretical speedup in a system that uses pipelining is equal to the number of stages in the pipeline. This is because each stage in the pipeline can be working on a different task at the same time. For example, consider a system with a pipeline that has four stages. The first stage could be fetching the first number from memory, the second stage could be fetching the second number from memory, the third stage could be adding the two numbers together, and the fourth stage could be storing the result in memory.

If all four stages were working at the same time, the system could complete the task of adding two numbers in one-fourth of the time it would take if the task were performed sequentially. In practice, the actual speedup in a system that uses pipelining is less than the theoretical speedup. This is because there are some overheads associated with pipelining, such as the time it takes to switch from one stage to the next. However, pipelining is still a very effective way to improve the performance of a computer system.

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Answer: 13

Step-by-step explanation:

Answer:

$139.3

Step-by-step explanation:

30% of 199 is 59.7

Then you subtract that from 199 to get your answer

Answer:

\(f(x)=\sqrt[3]{x-2} +1\)

Step-by-step explanation:

Given function for graph:  \(f(x)=1\sqrt[3]{x-h} +k\)

where (h, k) is the midpoint of the curve.

Therefore, the parent function is \(f(x)=\sqrt[3]{x}\)

\(f(x)=1\sqrt[3]{x-h} +k\) can be obtained by translating \(f(x)=\sqrt[3]{x}\) to \(h\) units to the right and \(k\) units up

The x and y intercept of \(f(x)=\sqrt[3]{x}\) is the origin

Therefore, this graph has been translated 2 units to the right and 1 unit up.

Therefore, \(h=2\) and \(k=1\)

Substituting these values into the given function:

\(\implies f(x)=\sqrt[3]{x-2} +1\)

Answer:

f-g)(x)= | 7x + 1 | -6 Is correct

Step-by-step explanation:

Functions f(x) and g(x) are illustrations of composite functions.

The value of (f - g)(x) is |7x + 1| - 6

The functions are given as:

\(\mathbf{f(x) = |7x +1|- 8}\)

\(\mathbf{g(x) = -2}\)

The function (f - g)(x) is calculated using:

\(\mathbf{(f - g)(x) = f(x) - g(x)}\)

So, we have:

\(\mathbf{(f - g)(x) = |7x + 1| - 8 - (-2)}\)

Remove bracket

\(\mathbf{(f - g)(x) = |7x + 1| - 8 +2}\)

Simplify

\(\mathbf{(f - g)(x) = |7x + 1| - 6}\)

Hence, the value of (f - g)(x) is |7x + 1| - 6

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Answer:

-0.01333333333

Step-by-step explanation:

I wish you well on that assignment <3

Answer:

-1/3

Step-by-step explanation:

Convert decimals to fraction and Multiply/Divide

Answer:

8267

Step-by-step explanation

a. The tree diagram that summarizes the given probabilities is attached.

b.  The probability that the individual does not participate in sports, given that he graduate sis  0.2 =  20%.

We apply Bayes' theorem to calculate:

Probability (Does not participate in sports if graduates)  = (P(Does not participate in sports) * P(Graduates | Does not participate in sports)) / P(Graduates)

The given data include: probability of not participating in sports = 0.02 probability of graduating given no participation in sports = 0.82 probability of graduating  = 0.18

Probability (Does not participate in sports if graduates)  = (0.02 * 0.82) / 0.18 = 0.036 / 0.18=  0.2

| Sports | No Sports |

                          |-------|--------|

Student participates | 0.18  | 0.62  |

                          |-------|--------|

Student does not participate | 0.02  | 0.78  |

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Answer:65.2

Step-by-step explanation:Add 1,200 to 50 that will give you 51.2.Finally add 51.2 to 14 that will give your answer 65.2.