help me find x

help please

Answer:

(x-2)(x-7)

Step-by-step explanation:

\(x^{2} -5x-14\\\\x^{2} -7x+2x-14\\\\x(x-7)+2(x-7)\\\\\(x+2)(x-7)\)

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

The given p, α, and i using the exponentiation by squaring algorithm.

To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.

verify this by checking the powers of 2 modulo 11:

2² ≡ 1 (mod 11)

2²≡ 2 (mod 11)

2² ≡ 4 (mod 11)

2³ ≡ 8 (mod 11)

2² ≡ 5 (mod 11)

2³ ≡ 10 (mod 11)

2³ ≡ 9 (mod 11)

2³ ≡ 7 (mod 11)

2² ≡ 3 (mod 11)

2³ ≡ 6 (mod 11)

The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.

To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.

A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.

The algorithm for computing a given p, α, and i is as follows:

Set result = 1.

Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].

For j from m to 0:

a. Square the current result: result = result × result (mod p).

b. If bj = 1, multiply the current result by α: result = result × α (mod p).

Return the final result.

This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.

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To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.

A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.

Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.

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Here the mixture (or solution) contains alcohol and water.

Given that you have 85% alcohol mixture. It means that each 1 mL of the mixture will contain 0.85 mL of alcohol, and the remaining 0.15 mL of pure water.

So the amount of alcohol in 120 mL of mixture is calculated as,

When 'x' mL of pure water is added to the solution, the total amount of water in the mixture becomes,

Since no alcohol is added, the amount of alcohol in the final mixture will remain same, that is, 102 mL.

Now, it is given that the concentration of the final mixture is 10%, So the amount of alcohol in the solution should be 10% of the total mixture,

Thus, you need to add 900 mL of pure water in order to have 10% alcohol solution.

And the equation used to solve this problem is,

"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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The probability that the mean yield of the 80 one acre plots chosen will be within 2 bushels of the population mean is 0.9332. The assumptions made to answer part (a) are that the population standard deviation is known, the sample is randomly selected, and the sample size is large (n>=30)

a) We can use the central limit theorem to approximate the distribution of the sample mean. The distribution of the sample mean can be approximated as a normal distribution with a mean of 107 bushels and a standard deviation of 12/√80=1.34 bushels. Therefore, we can find the probability that the sample mean falls within 2 bushels of the population mean using the standard normal distribution.

P(105 ≤ X ≤ 109) = P(Z ≤ (109-107)/1.34) - P(Z ≤ (105-107)/1.34)

= P(Z ≤ 1.49) - P(Z ≤ -1.49)

= 0.9319 - 0.0681

= 0.8638

Therefore, there is an 86.38% probability that the mean yield of the 80 one acre plots will be within 2 bushels of the population mean.

b) Assumptions made:

The sample of 80 one acre plots is selected at random.

The one acre plots are independent of each other.

The population standard deviation is known and remains constant.

The distribution of the yield of corn per acre is approximately normal.

The sample size is large enough (n≥30) to apply the central limit theorem.

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Answer:

2a +ab-9

Step-by-step explanation:

First, write out what you have:

3a-2b-ab-(a-b+ab)+3ab+b-9

Then, distribute the "-" to the "a-b+ab" inside the parenthesis:

3a-2b-ab-a+b-ab+3ab+b-9

Finally, combine like terms and simplify:

3a-a-2b+b+b-ab+3ab-ab-9

2a-2b+2b+3ab-2ab-9

2a+0+ab-9

2a+ab-9 is you equation fully simplified

Answer:

Incomplete question

Step-by-step explanation:

Recheck it Thx

Answer:

an integer is a whole number so adding integers is the same as adding whole numbers

Answer:

Step-by-step explanation:

he equation for the total cost (C) of the electrician's services in terms of time spent (t) is:

C = 75t + 50

where 75t represents the hourly rate charged by the electrician, and 50 is the fixed fee charged for every house call.

Answer:

50c+75t

Step-by-step explanation:

50/call +75/hr

Answer:

$6.00

Step-by-step explanation:

Divide 24 by the # of hours worked

Answer: 37.1

Step-by-step explanation:

5.7*2=11.4

5.9*2=11.8

11.4+11.8+13.9

The expected value of the sampling distribution of p is 0.8.

A statistic's probability distribution is called a sampling distribution when it is calculated from a larger number of samples taken from a particular population. The distribution of frequencies for a variety of outcomes that could possibly occur for a statistic of a population is known as the sampling distribution of that population.

The normal distribution, which is also known as the Gaussian distribution, is symmetric about the mean. It demonstrates that data close to the mean occur more frequently than data far from the mean. The normal distribution is depicted graphically as a "bell curve."

the sampling distribution of sample proportion will be a normal distribution with mean

\(\mu_{p}\) = p = 0.8

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Absolute humidity in conjunction with other factors, such as relative humidity and dew point temperature, can help provide a comprehensive understanding of the atmospheric conditions and their implications.

The term you are looking for is "absolute humidity." Absolute humidity is the mass of water vapor in a given amount of air expressed in grams per cubic meter (g/m3). This measurement represents the actual amount of moisture present in the air, regardless of the temperature or pressure. It is essential to understand and monitor absolute humidity for various applications, such as meteorology, environmental studies, and indoor air quality management. In contrast to relative humidity, which describes the percentage of moisture in the air compared to the maximum amount it can hold at a given temperature, absolute humidity provides a more accurate and direct representation of the water vapor content in the air. By measuring absolute humidity, scientists and professionals can better assess and predict weather patterns, manage heating, ventilation, and air conditioning (HVAC) systems, and ensure optimal conditions for health and comfort. It is important to note that absolute humidity can change as air temperature and pressure change, even if the amount of water vapor remains constant. This is because the air's capacity to hold water vapor depends on its temperature and pressure.

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1. To find the integrating factor for the differential equation \(\((2y^2 + 32)dz + 2rydy = 0\),\)  we can check if it is an exact differential equation. If not, we can find the integrating factor.

Comparing the given equation to the form \(\(M(z,y)dz + N(z,y)dy = 0\),\) we have \(\(M(z,y) = 2y^2 + 32\) and \(N(z,y) = 2ry\).\)

To check if the equation is exact, we compute the partial derivatives:

\(\(\frac{\partial M}{\partial y} = 4y\) and \(\frac{\partial N}{\partial z} = 0\).\)

Since \(\(\frac{\partial M}{\partial y}\)\) is not equal to \(\(\frac{\partial N}{\partial z}\)\), the equation is not exact.

To find the integrating factor, we can use the formula:

\(\(\text{Integrating factor} = e^{\int \frac{\frac{\partial N}{\partial z} - \frac{\partial M}{\partial y}}{N}dz}\).\)

Plugging in the values, we get:

\(\(\text{Integrating factor} = e^{\int \frac{-4y}{2ry}dz} = e^{-2\int \frac{1}{r}dz} = e^{-2z/r}\).\)

Therefore, the correct answer is E. None of these.

2. The general solution to the differential equation \(\((2x + 4y + 1)dx + (4x - 3y^2)dy = 0\)\) can be found by integrating both sides.

Integrating the left side with respect to \(\(x\)\) and the right side with respect to \(\(y\),\) we obtain:

\(\(x^2 + 2xy + x + C_1 = 2xy + C_2 - y^3 + C_3\),\)

where \(\(C_1\), \(C_2\), and \(C_3\)\) are arbitrary constants.

Simplifying the equation, we have:

\(\(x^2 + x - y^3 - C_1 - C_2 + C_3 = 0\),\)

which can be rearranged as:

\(\(x^2 + x + y^3 - C = 0\),\)

where \(\(C = C_1 + C_2 - C_3\)\) is a constant.

Therefore, the correct answer is B. \(\(x^2 + 4xy - z - y^2 = C\).\)

3. The general solution to the differential equation \(\(\frac{dy}{dx} = \frac{6x^3 - 2x + 1}{\cos y + e^v}\)\) can be found by separating the variables and integrating both sides.

\(\(\int \frac{dy}{\cos y + e^v} = \int (6x^3 - 2x + 1)dx\).\)

To integrate the left side, we can use a trigonometric substitution. Let \(\(u = \sin y\)\), then \(\(du = \cos y dy\)\). Substituting this in, we get:

\(\(\int \frac{dy}{\cos y + e^v} = \int \frac{du}{u + e^v} = \ln|u + e^v| + C_1\),\)

where \(\(C_1\)\) is an arbitrary constant.

Integrating the right side, we have:

\(\(\int (6x^3 - 2x + 1)dx = 2x^4 - x^2 + x + C_2\),\)

where \(\(C_2\)\) is an arbitrary constant.

Putting it all together, we have:

\(\(\ln|u + e^v| + C_1 = 2x^4 - x^2 + x + C_2\).\)

Substituting \(\(u = \sin y\)\) back in, we get:

\(\(\ln|\sin y + e^v| + C_1 = 2x^4 - x^2 + x + C_2\).\)

Therefore, the correct answer is D. \(\(\sin y + e^v = 2 + z^2 + z + C\).\)

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Answer:

proportional 1-3-4

non-porportional 2-5

Answer:

Proportional Relationship:#s 1, 2 and 3

Non-proportional Relationship: 4 and 5

Step-by-step explanation:

A direct proportional relationship between x and y means that as x increases y also increases.

An inverse proportional relationship implies that as x increases, y decreases by some constant factor

We can write a directly proportional relationship as y = k.f(x) where f(x) is a function of x

#1: the relationship here is that x is directly proportional to the square of x. We can write this as y = k.x². Here k = 1 and y = x²

#2.
y = (5/4)x so directly proportional

#3
y = 2.5x
So proportional

For #4 and #5 there is no direct relationship between x and y so these two do not represent a proportional relationship

Answer:

n ≤103

Step-by-step explanation:

The product of a number n and 1 is expressed as  n

Six less than the number is n - 6

If the result is no more than 97, then;

n - 6 ≤ 97

n ≤ 97 + 6

n ≤103

Hence the value of n is no more than 103

Answer:

on what...like brush how do we help u if u don't have a question

Answer:

Step-by-step explanation:

1 is correct

2 is correct

3 is wrong

4 is correct

5 is correct

6 is wrong

7 is wrong

For 7:

360 - 90 - 61 - 65

= 144

For 6:

180 - 144

= 36

For 3:

180 - 115 - 36

= 29

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

\(log_2(32)=y\) so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

\(log_b(x)=y\), the exponential form of it is

\(b^y=x\). We will apply that here to solve for y:

\(2^y=32\)

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

\(2^y=2^5\)

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

The solution to the system of equations for this problem is given as follows:

a. (1, -1, -4).

The system of equations for this problem is defined as follows:

The augmented matrix for the system is given as follows:

\(\left[\begin{array}{cccc}2&1&1&-3\\3&-5&3&-4\\5&-1&2&-2\end{array}\right]\)

To place in row-echelon form, first only the first row of the first column may have a diagonal different of zero, hence the transformation is given as follows:

Hence the matrix is given as follows:

\(\left[\begin{array}{cccc}2&1&1&-3\\0&-13&3&1\\0&-7&-1&11\end{array}\right]\)

Now the element at the third row and second column must be of zero, hence the transformation is of:

R3 = 13R3 - 7R2

Thus the matrix is of:

\(\left[\begin{array}{cccc}2&1&1&-3\\0&-13&3&1\\0&0&-34&136\end{array}\right]\)

Thus the solution for z is given as follows:

-34z = 136

34z = -136

z = -136/34

z = -4.

The solution for y is given as follows:

-13y + 3z = 1.

13y = 3z - 1

13y = -13

y = -1.

The solution for x is given as follows:

2x + y + z = -3.

2x = -3 - y - z

2x = -3 + 1 + 4

2x = 2

x = 1.

Meaning that option a is correct.

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Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

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The identity of the unknown is hexane, the second unknown is isopropyl alcohol, and the edge length of the jade cube is approximately 1.87 cm.

a. To determine the identity of the first unknown, we can compare the calculated density with the known densities of the liquids. The calculated density can be found by dividing the mass of the sample (3.310 g) by its volume (5.00 mL), giving us a density of 0.6620 g/mL.

Since the calculated density (0.6620 g/mL) is closest to the density of hexane (0.7851 g/mL), it is likely that the first unknown is hexane.

b. To determine the identity of the second unknown, we can use the same approach as in part a. By dividing the mass of the sample (4.061 g) by its volume (5.00 mL), we find the calculated density to be 0.8122 g/mL.

This density is closest to the density of isopropyl alcohol (0.7851 g/mL), so it is likely that the second unknown is isopropyl alcohol.

c. To find the edge length of the jade cube, we can use the formula for the volume of a cube: V = l^3. We know the mass of the cube (15.00 g) and its density (3.25 g/mL), so we can find its volume by dividing the mass by the density:

V = m/d = 15.00 g / 3.25 g/mL = 4.62 mL = 4.62 cm^3

Since the volume is equal to the edge length cubed, we can find the edge length by taking the cube root of the volume:

l = cuberoot(V) = cuberoot(4.62 cm^3) = approximately 1.87 cm.

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Answer: (a) Red cars are 5/8 greater than the fraction of blue cars

Step-by-step explanation:

To determine the difference in fractions between the red cars and blue cars in the parking lot, we need to calculate the fraction of red cars and the fraction of blue cars and then find the difference between them.

Given:

(3/4) of the cars are red

(1/8) of the cars are blue

To find the difference between the fractions, subtract the fraction of blue cars from the fraction of red cars:

(3/4) - (1/8)

To subtract fractions, we need a common denominator. In this case, the least common multiple of 4 and 8 is 8.

Rewriting the fractions with a common denominator:

(6/8) - (1/8)

Now we can subtract the numerators:

(6 - 1)/8 = 5/8

Therefore, the fraction of red cars is (5/8) greater than the fraction of blue cars.

So, the answer is (a) (5/8).

Answer:

5/8

Step-by-step explanation:

To find the answer, you should subtract the fraction of the blue cars from that of the red ones.

\( \frac{3}{4} - \frac{1}{8} = \frac{5}{8} \)

Answer:

108,0000 liters

Step-by-step explanation:

It should be 108,0000 liters because if there are 60 seconds per minute and the pump was on for 39 mins, 60 x 30 = 1800  

Then 1800 seconds times 600 liters per second equals 108,0000 liters

The critical point of the function g(x, y) = 5x - 7y + 4xy - 7x^2 + 4y^2 is (x, y) = (17/18, 37/18).

To find the critical points of the function g(x, y) = 5x - 7y + 4xy - 7x^2 + 4y^2, we need to find the values of x and y where the partial derivatives of g with respect to x and y equal zero.

First, let's find the partial derivative with respect to x:

∂g/∂x = 5 + 4y - 14x

Setting ∂g/∂x = 0, we have:

5 + 4y - 14x = 0

Next, let's find the partial derivative with respect to y:

∂g/∂y = -7 + 4x + 8y

Setting ∂g/∂y = 0, we have:

-7 + 4x + 8y = 0

Now, we have a system of equations:

5 + 4y - 14x = 0

-7 + 4x + 8y = 0

Solving this system of equations, we can find the values of x and y that satisfy both equations.

From the first equation, we have:

5 + 4y - 14x = 0

4y = 14x - 5

y = (14/4)x - 5/4

Substituting this into the second equation, we get:

-7 + 4x + 8[(14/4)x - 5/4] = 0

-7 + 4x + 14x - 10 = 0

18x = 17

x = 17/18

Substituting the value of x back into y = (14/4)x - 5/4, we find:

y = (14/4)(17/18) - 5/4

y = 119/36 - 45/36

y = 74/36

y = 37/18

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