find the first partial derivatives of the function. w = ev u v5 ∂w ∂u = ∂w ∂v =

Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.

The concentration of each solution is calculated as follows;

Concentration = mass/volume

Concentration =  1 /3 = 0.33 kg/L

Concentration = 0.908/3.318 = 0.27 kg/L

Thus, Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.

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Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

For A science experiment, Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water, for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water.

For Marcia, the concentration:

The ratio of mass to volume = 1/3 = 0.33 kg/L

For Bobby, the concentration:

The ratio of mass to volume = 2/7 pounds/pint = (2/2.205)/(7/2.11)

= 0.907/3.317 = 0.27 kg/L

Thus, Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.

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The scalar potential function is \(f = 7xyA^2zA^3+c\).

Given: F(x, y, z) = 7y²z³ i + 14xyz³ j + 21xy²z² k

F is a conservative field if curl F = 0, there exist a scalar potential function  such that F = ∇f.

curl f = \(\\i j k| \frac{a}{ax} \frac{a}{ay} \frac{a}{az} |\\7y^2z^3 14xyz^3 21xy^2z^2\)

\(= i[\frac{a}{ay}(21xy^2z^2)-\frac{a}{az}(14xyz^3) ] - j[\frac{a}{ax}(7y^2z^2)-\frac{a}{az}(7y^2z^3) ]+k[\frac{a}{ax}(14xyz^3)-\frac{a}{ay}(7y^2z^3) ]\)

= i(0) - j(0) + k(0)

= 0

Thus,curl F is conservative.

To find f such that F = gradf.

\(7yA^2zA^3i+14xyzA^3j+21xyA^2zA^2k = i(\frac{df}{dx} )+j(\frac{df}{dy} )+k(\frac{df}{dz} )\)

\(\frac{df}{dx} = 7yA^2zA^3\\\\\frac{df}{dx} = 14xyzA^3\\\\\frac{df}{dx} = 21xyA^2zA^2\)

Integrate the above terms with respect to x.

\(f = 7xyA^2zA^3+c_1\\\\f = 7xyA^2zA^3+c_2\\\\f = 7xyA^2zA^3+c_3\)

Hence the answer is, the scalar potential function is \(f = 7xyA^2zA^3+c\).

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Therefore, the probability of a bulb lasting between 632 and 640 hours is 0.0455 (or 4.55%).

To solve this problem, we need to standardize the values of 632 and 640 using the given mean and standard deviation, and then find the probability of the bulb lasting between these two standardized values.

Let X be the lifetime of a light bulb. We know that X ~ N(μ = 600, σ = 25).

Let Z be the standardized normal variable, given by:

Z = (X - μ) / σ

Substituting the values, we get:

Z632 = (632 - 600) / 25 = 1.28

Z640 = (640 - 600) / 25 = 1.60

To find the probability of a bulb lasting between 632 and 640 hours, we need to find the area under the standard normal curve between Z632 and Z640. We can use a standard normal table or a calculator to find this area.

Using a standard normal table or calculator, we find that the probability of a bulb lasting between 632 and 640 hours is:

P(1.28 < Z < 1.60) = P(Z < 1.60) - P(Z < 1.28)

From the standard normal table, we find that P(Z < 1.60) = 0.9452 and P(Z < 1.28) = 0.8997. Therefore,

P(1.28 < Z < 1.60) = 0.9452 - 0.8997 = 0.0455 (rounded to four decimal places)

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The amount that Pham has paid back after 6 years will be $8,511.11.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Pham borrows $6,000 to buy a car. The loan has 6% interest, compounded annually.

Then the amount after 6 years is given as,

A = $6,000 × (1 + 0.06)⁶

A = $6,000 × (1.06)⁶

A = $6,000 × 1.4185

A = $8,511.11

The amount that Pham has paid back after 6 years will be $8,511.11.

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The inequality used to determine Jaya's maximum number of Gigabytes available for use, within her budget will be given by: 60.50 + 5x ≤ 75.

An inequality is a relation which is used to make a non-equal comparison between two or more quantities or other mathematical expressions.

Let x be the maximum number of gigabytes Jaya can use while staying within her budget.

Given:

Then, according to question, we get that:

60.50 + 5x ≤ 75 (where, 5x is used to denote the total cost of 'x' gigabytes used by Jaya).

Hence, the inequality used to determine Jaya's maximum number of Gigabytes available for use, within her budget will be given by: 60.50 + 5x ≤ 75.

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The linear function that models the relationship between the two variables is y = 1200x+ 45000

The given parameters are

Rate = $1200 per year

Initial price in 1960 = $45000

In a linear function, we have

Slope, m = Rate

Y-intercept, c = Initial price

A linear equation is represented s

y = mx + c

So, we have

y = 1200x+ 45000

Hence, the linear function that models the relationship between the two variables is y = 1200x+ 45000

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Answer:

8.333% error

Step-by-step explanation:

using percent error formula

(actual - expected) / expected *  100 %

actual = 65

expected = 60

plug

(65-60)/60 * 100%

= 8.33 %

Answer:

Step-by-step explanation:

Hndnenenennjejejejekwkkwnwbfnfn

Answer:

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Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

A (- 7, 1 ) and C (1, 1 )

since the y- coordinates are equal, both 1 then the length of AC is the absolute difference of the x- coordinates , that is

AC = | 1 - (- 7 ) | = | 1 + 7 | = | 8 | = 8

or

AC = | - 7 - 1 | = | - 8 | = 8

Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

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CPCTC stands for "corresponding parts of congruent triangles are congruent." If two or more triangles are similar, then their corresponding angles and sides must likewise be similar.

Congruence :

Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size. You can move, flip, twist, and turn these triangles to produce the same effect. When relocated, they are parallel to one another. Congruence is a concept used to describe an object and its mirror image. Two things or shapes are considered to be congruent if they may be superimposed on one another. Regarding size and shape, they are the same. In the context of geometric figures, line segments with the same length and angles with the same measure are congruent.

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

Circle B

It's circumference is 31.4

A library has 2500 books.40% of the books are fiction, number of not fiction books are 1500.

A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

Total amount of book in library are 2500 ,

Out of that 40% are fiction so the number of the non fiction books are 60%

so 60% of 2500 will give us the value of non fiction books,

Number of non fiction = 2500 x 60%

= 2500 x 60/100

= 25 x 60

= 1500

Therefore,  Number of non fiction books are 1500.

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Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

Melissa will take 1.4 hour to travel 90miles at a speed of 65 mph.

Speed is the rate of distance covered in a particular time.

It is equal to distance/time

We know that speed=distance/time

so the time will be =90/65

which will be equal to1.44 hour

Hence Melisa will take only 1.4 hour to travel 90 miles at a speed of 65 mph.

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The value of the trigonometric identities are;

1. cos R = 15/17

cos S = 8/17

2. cos R = 12/13

cos S = 5/13

Trigonometric Identities are simply seen as the equalities involving trigonometry functions.

It also holds true for all the values of variables given in the equation.

There are various distinct trigonometric identities involving the side length as well as the angle of a triangle. They are;

We have cosine represented as;

cos θ = adjacent/hypotenuse

For the first triangle, we have;

cos R = 30/34 = 15/17

cos S = 16/34 = 8/17

For the second triangle;

cos R = 24/26 = 12/13

cos S = 10/26 = 5/13

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(Answer)

1.)9

__. (0.9)

10

2.)44

__. (0.586)

75

Answer:

15

Step-by-step explanation:

(brainiest)

a. d/dx(x^3) = 3x^2, which is the power rule for n = 3. b. d/dx(x^-1) = -x^-2, which is the power rule for n = -1. c. d/dx(x^21) = 21x^20, which is the power rule for n = 21.

(a) Let's use the forward difference quotient definition of a derivative to show that the power rule holds true for n = 3.

f(x) = x^3

f'(x) = lim(h→0) [f(x+h) - f(x)]/h

= lim(h→0) [(x+h)^3 - x^3]/h

= lim(h→0) [3x^2h + 3xh^2 + h^3]/h

= lim(h→0) [3x^2 + 3xh + h^2]

= 3x^2, since h approaches 0

So, d/dx(x^3) = 3x^2, which is the power rule for n = 3.

(b) Let's use the same approach for n = -1.

f(x) = x^-1

f'(x) = lim(h→0) [f(x+h) - f(x)]/h

= lim(h→0) [(x+h)^-1 - x^-1]/h

= lim(h→0) [1/(x+h) - 1/x]/h

= lim(h→0) [x - (x+h)]/[x(x+h)h]

= lim(h→0) [-h]/[x(x+h)h]

= -1/x^2, since h approaches 0

So, d/dx(x^-1) = -x^-2, which is the power rule for n = -1.

(c) Lastly, let's use the same approach for n = 21.

f(x) = x^21

f'(x) = lim(h→0) [f(x+h) - f(x)]/h

= lim(h→0) [(x+h)^21 - x^21]/h

= lim(h→0) [21x^20h + ... + h^21]/h

= lim(h→0) [21x^20 + ... + h^20]

= 21x^20, since h approaches 0

So, d/dx(x^21) = 21x^20, which is the power rule for n = 21.

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Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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Hello!

If six friends went to a movie and spent $9 per each ticket and also purchased a small bag of popcorn each with them spending a total of $82.50, the cost of each small bag of popcorn costs $4.75.

Step-by-step explanation:

\(6\) × \(9=54\)

\(82.50-54=28.50\)

\(28.50\) ÷ \(6=4.75\)

Hope this helps!

Answer:WAIT HE IS TELLING THE TIME

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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We can conclude that the amount of corrosion depends on the coating used, but not on the type of soil. Specifically, coatings 1, 3, and 4 are more effective than coating 2 in reducing corrosion.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To investigate whether the amount of corrosion depends on the coating or on the type of soil, we can perform a two-way ANOVA (analysis of variance) with replication.

The null hypothesis for the ANOVA is that the means of the corrosion depths are equal for all combinations of coating and soil type. The alternative hypothesis is that at least one mean is different from the others.

The ANOVA table shows that there is a significant effect of coating on the corrosion depth since the p-value for coating is less than 0.05. However, there is no significant effect of soil type, since the p-value for soil type is greater than 0.05. The p-value for the interaction term (coating by soil type) is also not significant.

Since there is a significant effect of coating, we can perform posthoc tests to determine which coatings are significantly different from each other. One commonly used posthoc test is the Tukey HSD (honestly significant difference) test. The results of the Tukey test are presented in the table below:

Comparison                     Difference in means Standard error p-value

Coating 1 - Coating 2                   11.0                2.479         0.005

Coating 1 - Coating 3                   14.0                2.479        <0.001

Coating 1 - Coating 4                   13.0                2.479        <0.001

Coating 2 - Coating 3                    3.0                2.479          0.730

Coating 2 - Coating 4                    2.0                2.479          0.947

Coating 3 - Coating 4                   -1.0                 2.479          1.000

The Tukey test shows that coatings 1, 3, and 4 are significantly different from each other, but coating 2 is not significantly different from any of the other coatings.

Therefore, we can conclude that the amount of corrosion depends on the coating used, but not on the type of soil. Specifically, coatings 1, 3, and 4 are more effective than coating 2 in reducing corrosion.

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Answer:

the answer is 10 6/3 20/10       1/2

Step-by-step explanation:

refer the attachment for your answer !!