If z=xe^y, x=u^3+v^3, y=u^3−v^3, find ∂z/∂u and ∂z/∂v. The variables are restricted to domains on which the functions are defined.

∂z/∂u=____
∂z/∂v=_____

Answer:

Yes you are correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

14-(a/5)

Answer:

6 matches

Step-by-step explanation:

Let’s call the teams A B C D

A will play B C D = 3 matches

B will play only C and D as it already played A, making 2 matches

C will play D, making 1 match

D has already played all

Total number of matches is thus 3 + 2 + 1 = 6 matches

Answer:

Step-by-step explanation:

F: x * x  = x^2

O:9 * x = 9x

I : 7 * x = 7x

L: 7 * 9 = 63

x^2 + 9x + 7x + 63

x^2 + 16x + 63

Answer:

           \(\bold{f(\frac{7\pi}6)=-1}\)

Step-by-step explanation:

\(f(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\pi+\frac{\pi}6)=-2\sin(\frac{\pi}6)=-2\cdot\frac12=-1\)

Answer:

the graph has a positive slope with a y-intercept of 5

y = 1/4x + 5

Step-by-step explanation:

i found the slope by using points (0,5) and (4,6)

slope formula says to subtract the y-values and divide by difference of x-values:

(6-5) / (4-0) = 1/4

Angle facts refer to the relationships between angles in a triangle or other shapes.

These relationships include the fact that the sum of all angles in a triangle is 180 degrees, that angles opposite each other in a parallelogram are equal, and that angles on a straight line add up to 180 degrees.
In Susan's case, she is trying to find angle b, and she first finds angle a before using that information to find angle b.

So let's break down each step:
a) To find angle a, Susan must have used an angle fact that relates to the triangle she is working with.

Since she did not provide any information about the triangle, we cannot be sure which angle fact she used.

However,

We do know that the sum of all angles in a triangle is 180 degrees, so it is likely that she used this fact in some way to find angle a.
b) Once Susan has found angle a, she uses another angle fact to find angle b. Again, we do not have enough information to know exactly which angle fact she used.

However, we do know that angle b is not directly opposite angle a, since they are both named angles in the same triangle.

Therefore, she must have used some other relationship between angles in the triangle to find angle b.
Without more information about the triangle and the specific angle facts Susan used, we cannot say for sure how she found angle a and angle b. However, we can say that angle facts are a useful tool for finding missing angles.

in a variety of shapes, and it is always a good idea to review your work and double-check your answers to ensure accuracy.

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Answer:

$24

Step-by-step explanation:

96 divided by 4

Each ticket cost 24 dollars

Answer:

$24 for each concert ticket.

Step-by-step explanation:

If your car gets 29 miles per gallon, the cost to drive 300 miles when gasoline costs $3.20 per gallon is approximately $33.10.

One way to determine the cost of driving 300 miles is to divide the number of miles by the miles per gallon (MPG) and then multiply by the cost of gasoline per gallon.

Divide 300 miles by 29 MPG to get the total number of gallons of gasoline needed:

300 ÷ 29 ≈ 10.34 gallons

Round up to the nearest whole number to get 11 gallons

Multiply the number of gallons by the cost per gallon of gasoline:

$3.20/gallon x 11 gallons = $35.20

Therefore, it will cost $35.20 to drive 300 miles when gasoline costs $3.20 per gallon with a car that gets 29 miles per gallon.

We know that 1 US gallon equals 3.785411784 liters. Therefore, the car travels 29 x 3.785411784 = 109.724897 liters in 1 US gallon.

So, the cost of traveling 300 miles will be 300/29 = 10.34482759 gallons.

So, the cost of traveling 300 miles will be $3.2 x 10.34482759 = $33.10344828. Therefore, the cost of traveling 300 miles will be $33.10 approximately.

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Applying change of base formula:

Answer:

5j+10

Step-by-step explanation:

In this question, you cannot find the answer to j, so you would just be simplifying the equation. So you would break the equation up into different parts and put the like parts together. So that it would be: (2j+3j)+(5+5)

5+5=10. So the answer is: 5j+10

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

The equivalent expression which involves using the greatest common factor as required is; 10(c +5b).

It follows from the task content that the equivalent expression using the distributive property is to be determined.

On this note, the equivalent expression can be determined as follows;

10c = (10 × c)

50b = (10 × 5b).

Hence, since 10 is the greatest common factor, the equivalent expression using the distributive property is;

(10 × c) + (10 × 5b)

= 10(c +5b).

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False.

Data reduction techniques can be applied to both rows (observations) and columns (variables) in a given dataset. Data reduction techniques like Principal Component Analysis (PCA) and Factor Analysis are applied to variables in order to reduce the number of variables and extract relevant information from them. These techniques aim to identify underlying factors or components that explain the variance in the data and represent them in a lower-dimensional space. Similarly, techniques like clustering and outlier detection can be applied to observations in order to group similar observations together or identify outliers.

Therefore, data reduction can be applied to both rows and columns, depending on the analysis goals and data characteristics.

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Answer:

C)

Step-by-step explanation:

Greetings! Hope this helps!

Answer

C.) 17

___________

5 (6-3) + 2

5 (3) + 2

15 + 2

17

Have a good day!

_______________

A brainliest would help tons! :D

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

The inverse of the function \(y=e^{x-4}\) is obtained as y = log (x) + 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function is given as - \(y=e^{x-4}\)

A function g is the inverse of the function f if for y = f(x) and x = g(y).

\(y=e^{x-4}\)

Replace x with y.

\(x=e^{y-4}\)

Now solve for y -

y = log (x) + 4

Therefore, the inverse is y = log (x) + 4.

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Find the inverse of \(y=e^{x-4}\).

Answer:

2688 $ will be added. Therefore, the cost will be 44688 $.

Step-by-step explanation:

6.4% of 42000$ (a) / 100%=2688 $ (b).

a + b = 44688 $.

The sprinkler should be set to rotate through  the angle 6.42 degrees.

What is an angle?

Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.

r =  50 yards

Area, A = 140 square yards

Θ = angle

A= (Θ /360) πr²

140 = (Θ /360) * 3.14 * 50*50

Θ = (140*360)/(3.14*25*100) = 6.42 degrees

The sprinkler should be set to rotate through  the angle 6.42 degrees.

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The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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The sum of (a) [infinity]∑n−21n2∑−2[infinity]12 is π²/6) - 1. The sum of (b) [infinity]∑n−31(n+1)2∑−3[infinity]1(+1)2 is π²/6) - 14. The sum of (c) infinity ∑ n-1 1/(2n)²∑n=1∞ 1/(2n)² is  π²/96.

(a) infinity ∑ n-2 1/n²(ζ(2) = π²/6)(ζ(2) = π²/6)∑n=2∞ 1/n²

Let, the sum of the series be S.(S = infinity ∑ n-2 1/n²)

We know that, ζ(2) = π²/6S = infinity ∑ n-2 1/n²= 1 + 1/4 + 1/9 + 1/16 + 1/25 + .......π²/6= 1 + 1/4 + 1/9 + 1/16 + 1/25 + .......

Therefore, (infinity ∑ n-2 1/n²) = (ζ(2) = π²/6) - 1

Using this, we can find the sum of the series (a).

(b) infinity ∑ n-3 (n+1)²= infinity ∑ n-3 (n² + 2n + 1)

Let the sum of the series be S.(S = infinity ∑ n-3 (n+1)²)S = infinity ∑ n-3 (n² + 2n + 1)= infinity ∑ n-3 n² + 2 ∑ n-3 n + ∑ n-3 1

Let's find the value of each of the sums, ∑ n-3 n², ∑ n-3 n, and ∑ n-3 1.

We know that,∑ n² = n(n+1)(2n+1)/6∑ n = n(n+1)/2∑ 1 = nS = infinity ∑ n-3 n² + 2 ∑ n-3 n + ∑ n-3 1= (infinity ∑ n-3 n²) + 2(infinity ∑ n-3 n) + (infinity ∑ n-3 1)- (1² + 2² + 3²) - (1 + 2)- 3= (infinity ∑ n-1 n²) - 14S = (ζ(2) = π²/6) - 14

(c) infinity ∑ n-1 1/(2n)²∑n=1∞ 1/(2n)²

Let, the sum of the series be S. (S = infinity ∑ n-1 1/(2n)²)

We know that,ζ(2) = π²/6= 1 + 1/4 + 1/9 + 1/16 + 1/25 + .......= 1 + 1/4 + 1/16 + 1/36 + 1/64 + .......= (1/2²) + (1/4²) + (1/6²) + (1/8²) + (1/10²) + .......= (1/2²)(1 + 1/2² + 1/3² + 1/4² + 1/5² + .......)S = (1/4)(ζ(2) = π²/6)S = π²/96

Therefore, the sum of the series (c) is π²/96.

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All three options involve conducting a survey using random sampling, which is the most appropriate method for creating an estimate of the percentage of district residents who support the building of a new middle school. The correct answer would be A, B, or C, depending on the availability of resources.

The most appropriate method for creating an estimate of the percentage of district residents who support the building of a new middle school would likely be a survey using random sampling.

Random sampling is a statistical method in which a representative sample of a larger population is selected, in order to make inferences about the population as a whole. When conducting a survey, random sampling helps to ensure that the sample is representative of the population, reducing the potential for bias.

There are several different types of surveys that could be used to estimate the level of support for a new middle school, including telephone surveys, online surveys, and in-person surveys.

Complete question:

The superintendent of a large school district wants to estimate the percentage of district residents who support the building of a new middle school. To gather data, the superintendent will select a random sample of district residents. What is the most appropriate method for the superintendent to estimate the percentage of district residents who support the building of a new middle school?

A. Telephone survey using random sampling

B. Online survey using random sampling

C. In-person survey using random sampling

D. Observing the behavior of district residents

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There is about a 33.7% probability that a case of 48 cans will contain at least two cans with a defective ball.

To solve this problem, we can use the binomial distribution. Let's define "success" as getting a can with no defective ball and "failure" as getting a can with at least one defective ball.

The probability of success in one can is:

P(success) = 1 - P(failure) = 1 - 0.025 = 0.975

The probability of failure in one can is:

P(failure) = 0.025

Now, let's define X as the number of cans in a case of 48 that have at least one defective ball. We want to find the probability that X is greater than or equal to 2.

We can use the binomial distribution formula to calculate this probability:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

P(X = 0) = (0.975)^48 ≈ 0.223

P(X = 1) = 48C1 (0.975)^47 (0.025)^1 ≈ 0.44

where 48C1 is the number of ways to choose one can out of 48.

Therefore, the probability that a case of 48 cans will contain at least two cans with a defective ball is:

P(X ≥ 2) ≈ 1 - 0.223 - 0.44 ≈ 0.337

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Answer:

divide it by 100

Step-by-step explanation:

5.2 ÷ 100 = 0.052

The required 5.2 divided by 100 gives the quotient of 0.052​.

Given that,
5.2 divided by blank =0.052​, A value that is best suitable for the blank is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

let the number be x,
According to the question,
5.2 / x - 0.052
x = 5.2/0.052
x = 5200/52
x = 100

Thus, the required divisor of the given numeral is 100.

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Luisa covered a distance of 4/45 kilometers in one minute.

We have,

Distance = Speed × Time

Let's let the distance Luisa covered be represented by d, and the speed she traveled be represented by s.

We know that she covered 4/5 of the distance at a constant speed.

d = 4/5

We also know that it took her 9 minutes to cover this distance.

Time = 9 minutes

We can rearrange the formula to solve for the speed:

speed = distance/time

Substituting the values we know:

speed = (4/5) / 9

Simplifying:

speed = 4/45 km/min

Therefore,

Luisa covered a distance of 4/45 kilometers in one minute.

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The complete question:

Luisa covered a distance of 4/5 at a constant speed in 9 minutes, what fraction of km did Luisa cover in one minute?

To calculate the cumulative abnormal return (CAR), we need to subtract the expected return based on market performance from the actual return of the stock.

The formula for CAR is as follows:

CAR = R_actual - R_expected

where R_actual is the actual return of the stock and R_expected is the expected return based on market performance.

Let's calculate the CAR for the given daily returns:

Suntop's daily returns: +0.1, +0, -0.5, -0.2, +0.1

Market's daily returns: -0.1, +0.2, +0.3, -0.2, +0.2

Expected return = Average of the market's daily return

Expected return = (-0.1 + 0.2 + 0.3 - 0.2 + 0.2) / 5 = 0

Now, let's calculate the CAR for each day:

Day 1:

CAR = 0.1 - 0 = 0.1

Day 2:

CAR = 0 - 0 = 0

Day 3:

CAR = -0.5 - 0 = -0.5

Day 4:

CAR = -0.2 - 0 = -0.2

Day 5:

CAR = 0.1 - 0 = 0.1

To find the cumulative abnormal return, we sum up the CAR for all five days:

Cumulative Abnormal Return (CAR) = 0.1 + 0 + (-0.5) + (-0.2) + 0.1 = -0.5

Therefore, the cumulative abnormal return for these five days is -0.5.

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Answer:

The bench was $375 and the garden table was $284.

Step-by-step explanation:

Let x be the value of the bench, if the table is 91 less than the value of the bench then the equation can be:

x + x-91 = 659

2x -91 = 659

Add 91 to both sides of the equation to isolate the 2x:

2x - 91 + 91 = 659 + 91

2x = 750

Divide both sides by 2 to get 1x:

2x ÷ 2 = 750 ÷ 2

x = 375

This means the bench was $375 and the garden table was $284.

Hope this helps!