Find the first-order partial derivatives of the following functions. 1. f(x,y) = x2 +e?y? – 143x + 135y 2. f(x,y) = 5x?y* + e7xy? – In(3x - 4y) + Vx3 135 3. f(x,y) = (3x – 5y)2 + e** In(4y – 9) + 4 5

When the speed of the plane increases at a constant rate over a time interval of several seconds, the angle the earphone wire makes with the vertical decreases. The earphone wire is affected by both the force of gravity and the force exerted on it by the airplane's acceleration.

The force of gravity acts vertically downward, while the force of acceleration acts in the direction of the airplane's motion. Therefore, the angle between the earphone wire and the vertical decreases as the plane accelerates because the force of acceleration overcomes the force of gravity, causing the wire to tilt forward.

As the plane continues to accelerate, the angle between the earphone wire and the vertical decreases even more until the plane reaches its cruising speed.

At this point, the earphone wire is parallel to the ground and there is no angle between it and the vertical.

Overall, during the time interval when the plane is accelerating, the angle the earphone wire makes with the vertical decreases.

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Answer: The first place is warmer by .3 degrees Celsius or 32.54 degrees Fahrenheit

Step-by-step explanation:

5m+7k-2m+k

5m-2m+7k+k

3m+8k

Answer:

3m +8k

Step-by-step explanation:

5m + 7k - 2m + k

We want to combine like terms

5m-2m are like terms 5m -2m = 3m

7k +k are like terms 7k+k = 8k

5m + 7k - 2m + k = 3m +8k

Answer: y=1/4x-5

Step-by-step explanation:

1/4 is the slop

-5 is the y-intercept

Y=mx+b (slope-intercept form)

m=slope

b=y-intercept

y=1/4x-5

Answer:

5/26.

If you count y as a vowel it is 3/13

Step-by-step explanation:

Answer: 52-80

Step-by-step explanation:

Answer:

52-80

Step-by-step explanation:

The probability that the insurance representative will sell a policy to three out of four prospective clients is 0.0256.

The probability that the insurance representative sells to more than two prospective clients is 0.0272.

To calculate the probability that the insurance representative will sell a policy to a specific number of prospective clients out of four, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = \((n C k) * p^k * (1 - p)^(n - k)\)

Where:

P(X = k) is the probability of exactly k successes (selling a policy) out of n trials (appointments).

(n C k) represents the combination or "n choose k" which calculates the number of ways to choose k successes out of n trials.

p is the probability of success on a single trial (probability of making a sale).

(1 - p) is the probability of failure on a single trial (probability of not making a sale).

Using this formula, we can calculate the probability of selling a policy to three out of four prospective clients.

Probability of selling a policy to three clients:

P(X = 3) = (4 C 3) * (0.20)^3 * (1 - 0.20)^(4 - 3)

Calculating:

P(X = 3) = 4 * 0.008 * 0.80

P(X = 3) = 0.0256

To calculate the probability that she sells to more than two clients, we need to sum the probabilities of selling to three clients and selling to all four clients.

Probability of selling to more than two clients:

P(X > 2) = P(X = 3) + P(X = 4)

Substituting the values:

P(X > 2) = \(0.0256 + (4 C 4) * (0.20)^4 * (1 - 0.20)^(4 - 4)\)

Calculating:

P(X > 2) = 0.0256 + 1 × 0.0016 × 1

P(X > 2) = 0.0272

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Answer:

12 - D = X

Step-by-step explanation:

Im not REALLY x2 sure but hope its helpful

Answer:

Y9 x4

Step-by-step explanation:

Each arrow points up from a y of 5 and an x of 0. They end at a y of 9 and an x of 4.

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

0.4615

Step-by-step explanation:

1/780 x 360 = 0.4615

Answer:

3/4°

Step-by-step explanation:

84+72+108+60+156= 480 people

480*x= 360°

x= 360°/480= 3/4°

The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

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Answer: x= 2/3

Step-by-step explanation:

The correct statements that call the area function are: area(s1,s2) =(The area is {area (s1,s2)} area (s1,s2)

Here are the statements that correctly call the area function: def area (side1, side2): return side1 * side2 s1 = 12 s2 = 6

The area function calculates the area of a rectangle with the given dimensions. Here are the statements that call the area function correctly: area (s1,s2) = (The area is {area (s1,s2)}') area (s1,s2) = area (side1,side2)

Note that the third statement, result = area(side1,side2), does not call the area function correctly. This is because side1 and side2 have not been defined in this statement. The correct way to call the function with variables is as follows: result = area(s1, s2).

The first statement calls the area function and prints the result to the console using the function.

The second statement calls the area function and assigns the result to the variable result.

Therefore, the correct statements that call the area function are: area (s1,s2) =(The area is {area(s1,s2)} area(s1,s2)

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Dhamby, this is the solution:

(i) For the Euclidean inner product (dot product) on R2 with u = (1, 2) and v = (3, 4), (u, v) = 1 * 3 + 2 * 4 = 11. The distance between u and v, dist(u, v), is given by the square root of the sum of the squared differences of the corresponding components, which in this case is approximately 2.828. The norm of v, ||v||, is given by the square root of the sum of the squared components, which in this case is 5.

(ii) For the Euclidean inner product (dot product) on C² with u = (1 + i, 1) and v = (0, -i), (u, v) = (1 + i)(0) + 1(-i) = -i. The concepts of distance and norm are not applicable in this case because the Euclidean inner product on C² is defined for complex numbers, and the concepts of distance and norm do not hold in the same way as in real numbers.

(i) The Euclidean inner product (dot product) on R2 calculates the sum of the products of the corresponding components of two vectors. For u = (1, 2) and v = (3, 4), (u, v) = 1 * 3 + 2 * 4 = 11. This represents the dot product between u and v. The distance between two vectors in R2 is determined by the Euclidean distance formula, which computes the square root of the sum of the squared differences of the corresponding components. In this case, dist(u, v) = sqrt((3 - 1)^2 + (4 - 2)^2) = sqrt(8) ≈ 2.828. The norm (or length) of a vector v in R2 is given by the square root of the sum of the squared components. Here, ||v|| = sqrt(3^2 + 4^2) = sqrt(25) = 5.

(ii) The Euclidean inner product (dot product) on C² operates similarly to the dot product in R2, except it considers complex numbers. For u = (1 + i, 1) and v = (0, -i), (u, v) = (1 + i)(0) + 1(-i) = -i. In this case, the distance between u and v and the norm of v are not applicable in the same way as in R2. The concept of distance measures the separation between vectors, but in complex space, there is no natural notion of distance that aligns with the real numbers. Similarly, the norm measures the length or magnitude of a vector, but complex vectors do not possess the same ordering properties as real numbers, making the notion of a norm more complex and context-dependent.

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Answer:

C. 26

Step-by-step explanation:

\({ \tt{f(x) = - 9x + 8}}\)

- f(-2) implies that x = -2, therefore; we substitute -2 in place of x in the function;

\({ \tt{f( - 2) = - 9( - 2) + 8}} \\ \\ { \tt{f( - 2) = 18 + 8}} \\ \\ { \tt{f( - 2) = 26}}\)

Answer:

Step-by-step explanation:

The question is

There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?

Givens

Let's transform 48 dag to kilograms.

\(48dag \times \frac{1kg}{100dag}= 0.48 \ kg\)

Therefore, the first costumer bought 0.48 kilograms of candies.

The remaining amount is: \(11.73kg-0.48kg=11.25kg\)

Now, we need to multiply the remaining amount of candies with 4/5

\(\frac{4}{5} \times 11.25kg=9 \ kg\)

Therefore, the second costumer bought 9 kilograms of chocolate candies.

At last, we need to find the new remaining part of candies, which is

\(11.25-9=2.25 \ kg\)

Therefore, the last costumers got 2.25 kilograms of chocolate candies.

Answer:

0.375 ft

Step-by-step explanation:

15 / 60 = 0.25

0.25 x 1.5 = 0.375 ft

Answer:

3/8 feet

Step-by-step explanation:

1 minute = 60 seconds

60 seconds = 15 feet

Divide by 60 on BOTH sides

1 second = 1/4 feet

Divide by 2 on both sides

0.5 second = 1/8 feet

1.5 seconds = 1 second + 0.5 second = 1/4ft + 1/8ft = 2/8ft + 1/8ft = 3/8ft

Hope this helps :)

Answer:  70

Step-by-step explanation:

Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.

The his or her elevation should be 70.

Since the diameter is 120 And, elevation of Antoine should be halfway to the top so here we split the diameter into half i.e. half of 120 is 60 and there is the height for stand holding the wheel i.e. 10

So, the elevation should be

= 60 + 10

= 70

Therefore, The his or her elevation should be 70.

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Answer:

11.6°

Step-by-step explanation:

In ΔGHI, g = 3.4 cm, i = 8.2 cm and ∠I=29°. Find all possible values of ∠G, to the nearest 10th of a degree.

We solve the above question using Law of Sines

= g/sin G = I / sin I

Substituting

= 3.4/ sin G= 8.2/ sin 29

Cross Multiply

3.4 × sin 29 = sin G × 8.2

sin G = 3.4 × sin 29/ 8.2

G = arc sin[3.4 × sin 29/ 8.2]

G = arcsin [0.2]

G = 11.59653°

Approximately = 11.6°

∠G = 11.6°

Answer:

\( \frac{ \sqrt{2} }{2} \\ \)

Step-by-step explanation:

\( \frac{ \sqrt{3} }{ \sqrt{6} } \\ \frac{ \sqrt{3} }{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ \frac{ \sqrt{3 \times 6} }{ \sqrt{ {6}^{2} } } \\ \frac{ \sqrt{18} }{6} \\ \frac{ \sqrt{2 \times 9} }{6} \\ \frac{3 \sqrt{2} }{6} \\ \frac{ \sqrt{2} }{2} \)

Answer:

⇛√2/2.

Step-by-step explanation:

Given that,

√3/√6

The denominator is √6

We know that

The rationalising factor of √a is √a

Therefore, the rationalising factor of √6 is '√6’.

Now,

⇛(√3/6) × (√6/√6)

⇛{√3(√6)}/(√6)(√6)

⇛(√3*6)/(√6)²

⇛(√18)/(6)

⇛(√2*9)/6

⇛(2√2)/6

⇛√2/2

Hence, the denominator is rationalised.

Answer:

For completing the square, you need the coefficient of the x^2 term to be 1.

http://www.1728.org/quadr2.htm

Step-by-step explanation:

Based on the equation 3, the data on resistivity agrees well with the given values. However, there may be some sources of experimental error that can affect the accuracy of the data. These sources of error which include Measurement, Human, Random errors.

1. Measurement errors: These can occur due to the inaccuracy of the measuring instruments used in the experiment. For example, if the instrument used to measure the slope is not calibrated correctly, it can lead to inaccurate results.

2. Human errors: These can occur due to the mistakes made by the experimenter. For example, if the experimenter does not read the measurements correctly, it can lead to inaccurate results.

3. Random errors: These can occur due to the uncontrollable factors that can affect the experiment. For example, if there is a change in temperature during the experiment, it can affect the resistivity of the material.

Overall, it is important to consider these sources of experimental error in order to obtain accurate data on resistivity.

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Answer:

\(x^{\frac{1}{8}}y^8\).

Step-by-step explanation:

The given expression is

\((x^{\frac{1}{4}}y^{16})^{\frac{1}{2}}\)

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

\((x^{\frac{1}{4}})^{\frac{1}{2}}(y^{16})^{\frac{1}{2}}\)     \([\because (ab)^m=a^mb^m]\)

\((x^{\frac{1}{4}\times \frac{1}{2}})(y^{16\times \frac{1}{2}})\)     \([\because (a^m)^n=a^{mn}]\)

\(x^{\frac{1}{8}}y^8\)

Therefore, the required expression is \(x^{\frac{1}{8}}y^8\).

The simplified form of the indices is \(x^{1/4}y^8\)

Given the expression:

\((x^{1/4}y^{16})^{1/2}\)

Using the law of indices below:

\((a^m)^n = a^{mn}\)

Multiplying the power will give:

\(= (x^{1/4})^{1/2} \cdot (y^{16})^{1/2}\\=x^{1/4}y^8\)

Hence the simplified form of the indices is \(x^{1/4}y^8\)

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Answer:

-3a² - ab - 7ac - 2b² + 6bc + 4c²

Step-by-step explanation:

Step 1: Distribute

3a² + 3ab + 3ac - 2ab + 2b² -2bc

Step 2: Combine like terms

3a² + ab + 3ac + 2b² - 2bc

Step 3: Distribute again

-4ac + 4bc + 4c² - (3a² +ab + 3ac + 2b² -2bc)

Step 4: Combine like terms again

-3a² - ab - 7ac - 2b² + 6bc + 4c²

And you have your final answer.

Step-by-step explanation:

14^2 + 8^2 = 260

third side=√260 = 16.12 ~ 16

Given,

f(x) = 1x + 12

expression to be in form of h

To find on the interval: [9, 9 + h]

∵ Average rate of change of f(x) on interval (a,b) is

A = f(b) - f(a) / b - a

⇒ f(9) = 1 x 9 + 12 = 21

⇒ f(9 + h) = 9 +h + 12 = 21 + h

⇒ f(b) - f(a) = 21 + h - 21 = h

⇒ (b-a) = 9 + h - 9 = h

∴ Average rate of change = h / h

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