Let xyz=e^z Use partial derivatives to calculate ∂z/∂x and ∂z/∂y and enter your answers as functions of x,y&z. ∂z/∂x= ∂z/∂y=

Answer:

The price per pound of apples is greater than $1.

Step-by-step explanation:

Three coworkers decided to buy fruit to share at lunchtime. Antonii spent $1.47 on bananas. Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges.   If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1? how can you tell?

To find the price of apples per pound, we need to divide the total amount paid by Laura ($2.88) with the total pounds of apples (2.1 pounds) bought.

Price of apples per pound = $2.88/2.1

price of apples per pound= $1.37142857

Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.

We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.

(hope this helps can i plz have brainlist :D hehe)

The cost of one pound of apple is $1.37.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Laura spent $2.88 on apples.

If Laura bought 2.1 pounds of apples

Cost of 1 pound apple =2.88/2.1

= $1.37

1.37>1

Therefore, the cost of one pound of apple is $1.37.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

"Your question is incomplete, probably the complete question/missing part is:"

Three coworkers decided to buy fruit to share at lunch time. Antoni spent $1.47 on bananas. Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?

The mean of the puppy weights changes by 0.14 pounds.

To determine how the mean of the puppy weights changes with the removal of the outlier, follow these steps:

1. First, identify the outlier in the given data set: Puppy Weights: 2.9, 3.0, 3.1, 3.1, 3.2, 3.3, 3.3, 3.4, 4.4. The outlier is 4.4 as it is significantly higher than the rest of the values.

2. Calculate the mean with the outlier: Add all the weights and divide by the total number of puppies (9). (2.9+3.0+3.1+3.1+3.2+3.3+3.3+3.4+4.4)/9 = 29.7/9 = 3.3

3. Calculate the mean without the outlier: Remove the outlier (4.4) from the sum and divide by the new total number of puppies (8). (29.7 - 4.4)/8 = 25.3/8 = 3.1625

4. Calculate the change in mean by subtracting the mean without the outlier from the mean with the outlier, and round to the nearest hundredth of a pound: 3.3 - 3.1625 = 0.1375, which rounds to 0.14.

With the removal of the outlier, the mean of the puppy weights changes by 0.14 pounds.

To learn more about mean

https://brainly.com/question/14728690

#SPJ11

Answer:

  -1056.87

Step-by-step explanation:

You want to know the number that represents the change in a bank balance from +$708.88 to -$347.99.

The change in a value is found by subtracting the beginning value from the ending value:

  -$347.99 -708.88 = -$1056.87

The number -1056.87 can be used to describe the change in the account balance.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

The function that could be used to model the value of the car V after years is V(t) = 32000(1 - 0.12)^t

The given parameters are:

Initial value, a = 32000

Rate, r = 12% --- depreciation rate

Since the value of the function decreases with time, the equation of the exponential function would be:

V(t) = a(1 - r)^t

So, we have:

V(t) = 32000(1 - 12%)^t

Express as decimal

V(t) = 32000(1 - 0.12)^t

Hence, the function that could be used to model the value of the car V after years is V(t) = 32000(1 - 0.12)^t

Read more about exponential functions at:

https://brainly.com/question/11464095

#SPJ1

Answer:

24.5

Step-by-step explanation:

38.5 / .5π =

Answer:

30 i think please be right

Answer:

its 30

Step-by-step explanation:

The size of the key space is 256^8, or 2^64. The average key search time would be 2^64/processing power of PC, which would be a very large number.

The question is asking about the size of the key space if 8 randomly chosen 8-bit ASCII characters are used, and how long it would take to find a key on a single PC.

The size of the key space if all 8 characters are randomly chosen 8-bit ASCII characters is 256^8 = 2^64 = 18,446,744,073,709,551,616.

The average key search time with a single PC would be 18,446,744,073,709,551,616 / 2,000,000,000,000 (2 trillion) operations per second = 9,223,372,036,854,775.8 seconds, which is approximately 292,030 years.

The size of the key space for an 8-bit ASCII character is 2^64 combinations. On average, it will take a single PC 2^64 / (processing speed of PC in Hz) seconds to search through the entire key space.

To learn more about ASCII link is here:

brainly.com/question/30267082

#SPJ4

As per the statement we can predict the deacresing population that there will be about 9,427,816 people living in Greece in 2044.

125,000 is the current populace (P).

Rate of growth (R) equals 2% annually. Time (n) equals three years. People three years later = p(1 + R 100) n=125000(1+2100) 3=125000×(5150) 3=125000×5150×5150×5150=13265

Yearly decline:

10,341,277 multiplied by 0.0042 equals 43,454.7314

To calculate the population in 2044, we must deduct from the present population 21 times the annual decline:

People in 2044 equals 9,427,815.8 - (10,341,277 - (21 x 43,454.7314)).

By rounding this to the closest whole number, In 2044, there will be approximately 9,427,816 individuals residing in Greece.

To know more about Compound Intrest visit:

brainly.com/question/8557811

#SPJ1

Answer:

25metres

Step-by-step explanation:

Complete question

Shenelle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by: A(x )= -(x-25)² + 625

What width will produce the maximum garden area?

At maximum area of the garden dA/dx = 0

dA/dx = -2(x-25)

0 =-2(x-25)

-2(x-25) = 0

x - 25 =0

x = 0+25

x = 25

Hence the width that will produce the maximum garden area is 25metres

Answer:

625  square meters

Step-by-step explanation:

The garden's area is modeled by a quadratic function, whose graph is a parabola.

The maximum area is reached at the vertex.  

So in order to find the maximum area, we need to find the vertex's y-coordinate.  

The function A(x)  is given in vertex form.

The vertex of -(x-25)^2+625 is at (25,625)  

In conclusion, the maximum garden area is 625square meters.

correct on khan academy

Answer:

There were 60 kids in class.

Step-by-step explanation:

Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:

children(Tom and Jerry) = children(Shin Chan)/3

children(Tom and Jerry) = 45/3 = 15

Therefore the number of children in the class is:

children(class) = children(Tom and Jerry) + children(Shin Chan)

children(class) = 15 + 45 = 60

There were 60 kids in class.

The length of radius AO, given that chord AB has a length of 32 cm and the distance from the center of the circle to chord AB is 9 cm, is approximately 15.6 cm.

In a circle, the radius perpendicular to a chord bisects the chord. Therefore, we can divide chord AB into two equal parts by drawing a line segment from the center of the circle, O, to the midpoint of AB.

Given that the length of chord AB is 32 cm, and the distance from the center of the circle to chord AB is 9 cm, we can use the Pythagorean theorem to find the length of radius AO.

Let's denote the midpoint of AB as point M. We have:

OM = 9 cm (distance from the center to the chord)

AB = 32 cm (length of the chord)

Using the Pythagorean theorem, we can calculate the length of radius AO:

AM^2 + OM^2 = AO^2

(16 cm)^2 + (9 cm)^2 = AO^2

256 cm^2 + 81 cm^2 = AO^2

337 cm^2 = AO^2

Taking the square root of both sides, we find:

AO ≈ √337 ≈ 18.36 cm

Therefore, the length of radius AO, to the nearest tenth, is approximately 15.6 cm.

Learn more about radius perpendicular here:

https://brainly.com/question/19005228

#SPJ11

Answer: 0x+7y=4

horizontal line

The variance for the sum of the squared deviation scores is SS = 20 for a sample of n = 5 scores is 5.

The formula for the variance of a sample is:

\(s^2\) = SS / (n - 1)

where SS is the sum of squared deviation scores, n is the sample size, and \(s^2\) is the variance.

In this case, SS = 20 and n = 5, so we can substitute these values into the formula:

\(s^2\) = 20 / (5 - 1)

\(s^2\) = 5

Therefore, the variance for this sample is 5.

Learn more about variance:

https://brainly.com/question/29505178

#SPJ4

Answer:

Step-by-step explanation:

a+4<-9a-6

10a<-6-4

10a<-10

a<-1

-9a-6≤6-5a

-6-6≤-5a+9a

-12≤4a

-3≤a

-3≤a<-1

The solution to the monomial in standard form is  0.04b^19.

The term "polynomials in standard form" can also refer to a polynomial written in the decreasing order of the degree of the variable.

The degree of the polynomial is significant when writing it in its standard form since the terms are written in descending order of the power of x.

Given that:

= (-0.2b^6)^3*5b

Rewrite using the commutative property of multiplication

= 5(-0.2b^6)^3b

Apply the product rule to −0.2b^6

= 5(-0.2^3)(b^6)^3b

= 5(-0.008b^18)b

= 5(-0.008^19)

= 0.04b^19

Learn more about the standard form here:

https://brainly.com/question/19169731

#SPJ1

Explicit formula for this sequence is (C) an= 6+ (n-1)(-4)

Given sequence,

6, 2, -2, -6.....

First term = a = 6

Difference = d = 2 - 6

                        = -4

No. of terms = n

Therefore, an = a + (n-1)d

                       = 6 + (n-1)(-4)

Hence, an= 6+ (n-1)(-4).

To learn more about sequence here:

https://brainly.com/question/23857849

#SPJ1

Answer:

That's the answer attached, whatever answer matches up with it is correct.

Step-by-step explanation:

The probability that you and your friends are on time for the movie when choosing a line uniformly at random depends on the number of people in your group and the probability of each person being on time.

To calculate the probability that you and your friends are on time for the movie when choosing a line uniformly at random, we need to make some assumptions.

Let's assume that there are only two lines to choose from, and that the probability of being on time for the movie is the same for both lines. Also, let's assume that your group consists of n people.

The probability that all n people in your group are on time for the movie is p^n, where p is the probability of one person being on time. This assumes that each person's arrival time is independent of the others.

Now, let's consider the probability that at least one person in your group is late. This can happen in several ways:

- One person is late: p*(1-p)^(n-1)

- Two people are late: p^2*(1-p)^(n-2)

- Three people are late: p^3*(1-p)^(n-3)

- ...

- All n people are late: (1-p)^n

The probability of at least one person being late is the sum of these probabilities:

P(at least one person is late) = p*(1-p)^(n-1) + p^2*(1-p)^(n-2) + ... + (1-p)^n

Therefore, the probability that everyone in your group is on time for the movie when choosing a line uniformly at random is:

P(everyone is on time) = 1 - P(at least one person is late)

We can use this formula to calculate the exact probability for any given value of n and p.

It can be calculated using the formula P(everyone is on time) = 1 - P(at least one person is late), where P(at least one person is late) is the sum of the probabilities of each possible number of people being late.

To know more about probability refer here:

https://brainly.com/question/14210034#

#SPJ11

The general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

We are given the differential equation: d²y/dx - 36y = cosh(3x).

In this case, the homogeneous equation is d²y/dx - 36y = 0.

The characteristic equation associated with the homogeneous equation is obtained by replacing the derivatives with their corresponding algebraic expressions. In our case, we have r² - 36 = 0. Solving this quadratic equation, we find the roots to be r = ±6.

Since the roots are distinct and real, the general solution for the homogeneous equation is given by:

\(y_h = C_1e^{6x} + C_2e^{-6x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

The term cosh(3x) can be written as a linear combination of exponential functions using the identities:

\(cosh(ax) = (e^{ax} + e^{-ax})/2, \\\\sinh(ax) = (e^{ax} - e^{-ax})/2.\)

Therefore, \(cosh(3x) = (e^{3x} + e^{-3x})/2.\)

Now, we assume the particular solution has the form:

\(y_p = A_1e^{3x} + A_2e^{-3x}\)

where A₁ and A₂ are undetermined coefficients.

Substituting these derivatives into the original differential equation, we get:

\((9A_1e^{3x} + 9A_2e^{-3x}) - 36(A_1e^{3x} + A_2e^{-3x}) = (e^{3x} + e^{-3x})/2.\)

To satisfy this equation, the coefficients of the exponential terms on both sides must be equal. Therefore, we have the following system of equations:

9A₁ - 36A₁ = 1/2,

9A₂ - 36A₂ = 1/2.

Solving these equations, we find A₁ = -1/70 and A₂ = -1/70.

Thus, the particular solution is:

\(y_p = (-1/70)e^{3x} + (-1/70)e^{-3x}\)

Finally, the general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

To know more about differential equation here

https://brainly.com/question/30074964

#SPJ4

The number of individuals who took the quiz is D) 21.

To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.

Let's add up the frequencies:

6 + 5 + 5 + 3 + 2 = 21

The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.

Therefore, the correct answer is D. 21.

Know more about frequency distribution here,

https://brainly.com/question/30371143

#SPJ11

The probability that a fair coin will show tails exactly 3 times in 7 tosses is approximately 0.273.

The probability of getting tails in a single coin toss is 1/2, and the probability of getting heads is also 1/2 since the coin is fair.

Using the binomial probability formula, the probability of getting exactly 3 tails in 7 tosses can be calculated as:

P(3 tails) = (7 choose 3) * (1/2)^3 * (1/2)^(7-3)

P(3 tails) = (7! / (3! * (7-3)!)) * (1/2)^7

Simplifying the expression, we get:

P(3 tails) = 35 * (1/2)^7

P(3 tails) ≈ 0.273

Therefore, the probability that a fair coin will show tails exactly 3 times in 7 tosses is approximately 0.273, rounded to three significant digits.

Learn more about probability  : brainly.com/question/31828911

#SPJ11

Answer:

80\(\leq\)20x+0.1(100)

Step-by-step explanation:

x for the number of days you are trying to find.

$20 to rent the car per day.

$0.1 for every mile driven and she wants to drive 100 miles so $0.1(100).

she cannot spend over 80 so the sign should be equal to $80 or less than.

Answer:

\(d=\sqrt{274}\)

Step-by-step explanation:

\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(6-(-9))^2+(-4-3)^2} \\d= \sqrt{(15)^2+(-7)^2} \\d= \sqrt{225+49} \\d= \sqrt{274}\)

An "onto" function, also known as a surjective function, maps every element of the domain to at least one element of the codomain. A "one-to-one" function, or injective function, maps each element of the domain to a unique element in the codomain. If f: x → y is onto but not one-to-one, it means that some elements in x have the same corresponding element in y.

To determine if the inverse relation, f^(-1), is a function, let's recall the definition of a function: for every input, there must be exactly one output. Since f is not one-to-one, multiple elements in x correspond to a single element in y. Thus, when considering the inverse relation f^(-1), a single element in y would correspond to multiple elements in x.

In conclusion, f^(-1) would not be a function because it does not satisfy the requirement of having a unique output for each input.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

7) 96

8) 84

9) 72

Step-by-step explanation:

A = bh

7)

b = 12, h = 8

A = 12*8 = 96

8)

b = 12, h = 7

9)

b = 8, h = 9