consider a function z(x, y) and its partial derivative (∂z/∂y)x. can this partial derivative still be a function of x?

Answers

Answer 1

A function z(x, y) and its partial derivative (∂z/∂y)x is aslo a function.

Function:

In set math, function refers an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)

Given,

Consider a function z(x, y) and its partial derivative (∂z/∂y)x.

Here we need to identify that the partial derivative still be a function of x.

In order to find the solution for this function, we must know the definition of partial derivative,

The definition of partial derivative is, "partial derivative of any function having several variables is its derivative with respect to one of those variables where the others are held constant."

Here the partial derivative of a function f with respect to the differently x is variously denoted by f’x, fx, ∂xf or ∂f/∂x.

The symbol ∂ is partial derivative.

So, as per the definition of the partial derivative, the given partial derivative  (∂z/∂y)x is also a function.

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Related Questions

480 people went to the Yellowstone National Park yesterday.
180 of them were children, and the remaining were adults.
What percent of the visitors at the park were adults?
%

Answers

Answer:

11

Step-by-step explanation:

Help me solve this question!

Answers

The volume of foam needed for the 45 cones is

v = 16,956 cm³

How much foam is needed to make 45 cones?

We know that the volume of a cone of diameter F and height H is:

V = pi*(D/2)²*H/3

Where pi = 3.14

Here we know that:

D = 12cm

H = 10cm

And we want to find the volume of 45 of these cones, so the total volume of foam needed is:

v = 45*V = 45*(3.14*(12cm/2)²*10cm/3

v = 16,956 cm³

That is the volume of foam needed.

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Is the converse of the following conditional True or False? "If a polygon is a triangle, then it has exactly three sides."


Answers

The converse of the following conditional True which is If a polygon is a triangle, then it has exactly three sides."

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

A polygon has precisely three sides if it is a triangle. The opposite is also accurate.

Contrarily, a polygon is a triangle if it has precisely three sides. Both of the statements can be joined to create a biconditional because they are both true.

Thus, the converse of the following conditional True which is If a polygon is a triangle, then it has exactly three sides."

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Eliza solves the equation (x-7)^2 = 25 and gets X = 12. Winnie solves the same equation and finds a different solution. What is the other solution to the problem?

Answers

Answer: 5^2

Step-by-step explanation:

5 x 5 = 25

and (x-7)^2 = 25

a cheese merchant looks again at the data set about total cheese sales, in which the sample mean is 164.5 and the sample standard deviation is 103. find the rounded upper level of the 68% confidence interval estimate.

Answers

The rounded upper level of the 68% confidence interval estimate is

164.5 ± 3.260.

Given:

a cheese merchant looks a again at the data set about total cheese of sales, in which the sample mean is 164.5 and the sample of standard deviation is 103.

μ = x =164.5

σ = s = 103

n = 987

z score at 68 % :

= 0.9945

Confidence interval CI = x + z * s/[tex]\sqrt{n}[/tex]

= 164.5 + 0.9945 * 103 / √987

= 164.5 ± 3.260

Therefore The rounded upper level of the 68% confidence interval estimate is  164.5 ± 3.260.

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Help me please :) thank you

Answers

Answer:

a=90°

c=45°

b=45°

Step-by-step explanation:

this triangle is a right triangle. (shown by the box in angle a) this means a must equal 90°

and by extension means the other two angles have to equal 45° each because right angles always have two angles of the same degree and the angles of a triangle always Equal 180°

Easy! Sorry about the hand writing. Some of the steps are bit wonky but it’s the right answer I believe.

The graph below shows the number of hours Dario
worked and the amount he earned.
DARIO'S EARNINGS
Earnings (in dollars)
100
90
80
70
60
30
20
10
(2, 24).
Review / End Test
(5, 60)
0 1 2 3 4 5 6 7 8 9 10
Time (in hours)
Flag
(8, 96)
Options
V
What was Dario's hourly wage?
A $10
B
$12
(C) $24
D $54

Answers

Answer:

Step-by-step explanation:

B.

Find the distance between the two points.
(3,2)
(3,0)
✓ [?]
Enter the number
that goes beneath the
radical symbol.
Enter
4

Answers

Answer:

[tex] \Large{\boxed{\sf d = \sqrt{40} }} [/tex]

[tex] \\ [/tex]

Explanation:

The distance between two points is given by the following formula:

[tex] \Large{\sf d = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}} [/tex]

Where:

d is the distance between the points.[tex] \sf (x_A \: , \: y_A) [/tex] and [tex] \sf (x_B \: , \: y_B) [/tex] are the coordinates of the points.

[tex] \\ [/tex]

First, let's identify our values:

[tex] \sf (\underbrace{\sf -3}_{\sf x_A} \: , \: \overbrace{\sf 2}^{\sf y_A}) \: \: and \: \: (\underbrace{\sf 3}_{\sf x_B} \: , \: \overbrace{\sf 0}^{\sf y_B}) [/tex]

[tex] \\ [/tex]

Now, substitute these values into our formula:

[tex] \sf d = \sqrt{\sf (3 - (-3))^2 + (0 - 2)^2} \\ \\ \sf d = \sqrt{\sf 6^2 + (-2)^2} \\ \\ \sf d = \sqrt{\sf 36 + 4 } \\ \\ \boxed{\boxed{\sf d = \sqrt{40} }} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

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express 8 3/5 in simplest radical form

Answers

Answer:  

5 radical 8 to the power of 3

Step-by-step explanation:

a helicopter is lifting an 800-pound unit at a rate of 200 feet per minute. how much horsepower, of work energy, is the helicopter using in the process?

Answers

4.84 HP is the amount of work energy used.

Given info,

A helicopter is lifting an 800-pound unit at a rate of 200 feet per minute.

1 horsepower = 550 foot-pounds per second

⇒ 800 x 200 = 160,000 foot-pounds per minute

                      = 160,000/60 foot pounds per second.

Horsepower = 160,000/60 * 550 = 428/33

                                                       = 4.848 HP

Therefore, the horsepower of work energy used is 4.84 HP

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Please help I’m timed
If g(n) varies inversely with n and g(n)= 10 when n=3 then find the value of n when
g(n)= 3
Round final answer to the tenths place. If answer is a whole number then put a zero
in the tenths place before entering your answer. Work must be shown for this
problem in order to receive any credit.

Answers

The value of n when the function g(n) assumes a value of 3 is of:

n = 10.

What is a proportional relationship?

In the case of an inverse proportional relationship, as is the case in this problem, the output variable y is obtained as the division of the constant of proportionality k by the input variable x, as follows:

y = k/x.

Considering the variables in this problem, the equation is given as follows:

g(n) = k/n.

g(n)= 10 when n=3, hence the constant is obtained as follows:

10 = k/3

k = 3 x 10

k = 30.

Hence the equation is:

g(n) = 30/n.

When the input variable n when g(n) = 3 is obtained as follows:

3 = 30/n

3n = 30

n = 30/3

n = 10.

(we replaced the output variable g(n) by it's value and solved for the input variable)

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Someone answer this please

Answers

Answer:

Step-by-step explanation:

B because that is the letter of my first name!

In ACDE, M/C = (x-4)°, m/D = (9x + 4)°, and m/E = (2x + 12)°.
Find m/D.

Answers

Thus, in ΔCDE the m/∠D = 130⁰, which can be calculated using angle sum property of triangle.

What is triangle?

Triangle is derived from the Latin word triangulus, which means "three-cornered" or "having three angles," and is composed of the roots tri-, "three," and angulus, "angle or corner." Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.

Given that: In ΔCDE

m/∠C = (x-4)°

m/∠D = (9x + 4)°

m/∠E = (2x + 12)°

Now, to find m/∠D

So, We know that sum of internal angles of a triangle is equal to 180⁰ .Here, we are given a ΔCDE and all its three internal angles.

Putting the sum of all three equal to 180⁰:

∠C + ∠D + ∠E = 180⁰(x-4)°+ (9x + 4)°+ (2x + 12)°

= 180⁰12x +12

= 180⁰x +1 = 15⁰

x = 14⁰

Thus, Putting value of x in m/∠D = (9x + 4)°.

m/∠D = (9 × 14 +4)⁰

m/∠D = 130⁰

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The complete question is as follows:

In ΔCDE, m ∠ C = ( x − 4 ) ∘ m∠C=(x−4) ∘ , m ∠ D = ( 9 x + 4 ) ∘ m∠D=(9x+4) ∘ , and m ∠ E = ( 2 x + 12 ) ∘ m∠E=(2x+12) ∘ . Find m ∠ D.

Calculate the margin of error for a ampling ditribution that ha a ize of 36 for a 93% confidence level. The population tandard deviation i known to be 12

Answers

The margin of error for a sampling distribution is found as 3.34.

Explain the term margin of error?The margin of error, sometimes known as the confidence interval, provides information on how closely your survey results will likely reflect the opinions of the general community. Keep in mind that conducting surveys requires you to strike a balance by using a smaller group (the survey respondents) to represent a much broader one.

Margin of error = z × σ/√n

n = sample size (36)σ = population standard deviation  (12) z = z-score

Thus, put the values;

z-score for 93% confidence level = 1.67

Margin of error = 1.67 ×12/√36

Margin of error = 3.34

Thus, the margin of error for a sampling distribution is found as 3.34.

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Phone-Phriends charges $35 for a text-message plan with 250 text messages included. If the customer goes over the 250 messages, the cost is $0.14 per extra text message.

A customer sent and received 329 text messages last month. What are the total charges?

Answers

Answer:

Step-by-step explanation:

11.

A person weighing 150 pounds burns about 320 calories per hour walking at a moderate rate. Suppose the same person burns about 1500 calories per day through basic activities. The total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking. What is the slope and y- intercept​

Answers

The slope of the equation and y- intercept​ is 320 and 1500 respectively.

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given that the total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking.

To find the slope and y- intercept​.

y=320x+1500

Therefore, the slope of the line is;

m =320

Then the y- intercept is 1500

Hence, The slope of the equation and y- intercept​ is 320 and 1500 respectively.

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Laptop computers are measured according to the diagonals of their screens.
8 in.
19 in.
A(n) 19-inch laptop has a screen that is 8 inches tall. How wide is the screen?
Round your approximation to 2 decimal places.

Answers

Check the picture below.

Select the equation of the line that passes through (3, 4) and (-1, -4).

y= -1/2x+2

y=2x+2

y=2x-2

y=-1/2x+4

none of the above

Answers

The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are (3, 4) and (-1, -4). Then the equation of the line is given as,

(y + 4) = [(4 + 4) / (3 + 1)](x + 1)

y + 4 = 2(x + 1)

y = 2x + 2 - 2

y = 2x - 2

The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.

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لیا
The prism below is made of cubes which measure 1/4 of a centimeter on one side. What is the volume?

Answers

Answer:

Below

Step-by-step explanation:

You didn't include the picture......

each cube has a volume of  1/4 * 1/4 * 1/4 = 1/64 cm^3

     count the total number of cubes and multiply by  1/64

                                         to get volume in cm^3

5. Find the measure of each angle in the figure below.
Lines are named with the capital letter; angles are named with the lower case letter.
B
A a
e d
C

Answers

The measure of each angle are mentioned below

What is angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of each angle is

∠a = 90°

∠b = 45°

∠c = 45°

∠d = 90°

∠e = 45°

∠f = 45° {coordinate judgment angle }

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a tree is 37.95 feet tall. what is its height in meter? use the following conversion: 1 meter is 3.3 feet

Answers

The height of tree in meter is 11.5 meter after the conversion from 37.95 feet to meter.

What is conversion factor?

A conversion factor is measurement value in numbers that is used in converting one unit to another unit by arithmetic operations.  

 

Given that a tree is 37.95 feet tall and 1 meter is 3.3 feet.

So to find 37.95 feet tree in meter we have to divide 37.95 by 3.3  

= 37.95 / 3.3

= 11.5 meter

1 meter is 3.3 feet, then 11.5 meter is 37.95 feet.

Therefore, the height of tree in meter is 11.5 meter.

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a university charges students $2,300 less for tuition each year to encourage them to stay in school. the tuition for freshman year is $34,000. write a regression equation for this formula, with y

Answers

a regression equation for this formula, where x represents the number of years enrolled and y represents the tuition.

y = 34000 - 2300x

Regression is a statistical technique that connects one or more independent (explanatory) variables to a dependent variable. If there is a relationship between changes in one or more of the explanatory factors and changes in the dependent variable, it can be shown using a regression model.

The regression equation for this formula would be:

Y = 34,000 - 2,300x

where Y is the tuition cost and x is the number of years in school.

The equation states that the tuition cost for any year in school (x) is equal to the freshman year tuition cost (34,000) minus 2,300 multiplied by the number of years in school (x).For example, if x = 4 (4 years in school), then the tuition cost for that year would be 34,000 - 2,300(4) = 25,400.

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Samuel prob please answer

Answers

The system of equation that is used to determine the number of cans of soup purchased and the number of frozen dinners purchased is 300x+450(x+5)=6000mg.

What is meant by linear equation?

A linear equation can be generated by equating a linear polynomial over some field with zero coefficients. The values that, when substituted for the unknowns, make the equality true are the solutions of such an equation. The phrase linear equation is frequently used to refer to this specific scenario, in which the variable is appropriately referred to as the unknown.

Each solution in the case of two variables can be regarded as the Cartesian coordinates of a point on the Euclidean plane. A linear equation's solutions form a line in the Euclidean plane, and every line can be seen as a set.

Sodium contains in a can of soup is 300mg

Sodium contains in a can of frozen dinners is 450mg

Let the number of cans of soup purchased be x

Then, the number of frozen dinners purchased=x+5

Total sodium purchased=6000mg

So, 300x+450(x+5)=6000mg

Therefore, the system is 300x+450(x+5)=6000mg

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a binomial experiment consists of 10 independent trials. the probability of success in each trial is 0.43. give the variance of the random variable associated with this experiment. a) 1.5656 b) 4.3000 c) 0.2451 d) 2.4510 e) 2.0736 f) none of the above.

Answers

Part (d) is correct.

i.e. The variance of the random variable associated with this given experiment is 2.4510.

What is Binomial experiment?

It is an experiment with a set number of independent trials, each having the same chance of success and the two outcomes of success or failure. A binominal distribution can be used to describe the likelihood of a certain number of successes.

Given that,

No. of independent trials ( n ) = 10

Probability of success in each trail ( p ) = 0.43

∴ probability of failure in each trial ( q ) = 0.57

we can find the variance of a binomial experiment by using the formula i.e. npq.

∴ Variance = npq

                  = 10 × 0.43 × 0.57

                  = 2.4510.

Hence, part (d) matches with the answer.

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a sample of 17001700 computer chips revealed that 366% of the chips fail in the first 10001000 hours of their use. the company's promotional literature states that 399% of the chips fail in the first 10001000 hours of their use. the quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. is there enough evidence at the 0.020.02 level to support the manager's claim? step 1 of 7 : state the null and alternative hypotheses. answer

Answers

After solving, the value of Test statistic z is 1.449.

In the given question,

A sample of 1700 computer chips revealed that 36% of the chips fail in the first 1000 hours of their use.

The company's promotional literature states that 39% of the chips fail in the first 1000 hours of their use.

Then we have to find the value of z statistic.

Hypothesized proportion (p) = 36%=0.36

Sample proportion (p') = 39% = 0.39

Sample size (n) = 1700

Hence,

Test statistic z

z= (0.76-0.78)/√(0.78* 0.22/900)

z= (-0.02)/√(0.78* 0.000244)

z= -0.02/√0.00019032

z= -0.02/0.0138

z = -1.449

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three regular dice are rolled simultaneously. if the probability that the sum of the faces is 7 can be represented by m n in simplest form, what is m n?

Answers

The probability that the sum of the faces is 7 = 15/216

The value of m = 15 and the value of n = 216

In this question, we have been given three regular dice are rolled simultaneously.

We need to find the probability that the sum of the faces is 7.

When three dice are rolled simultaneously, the total number of outcomes

n(S) = 6 * 6 * 6

n(S) = 216

Let event A: sum of the faces is 7

A = {(1, 2, 4), (1, 4, 2), (4, 1, 2), (4, 2, 1), (2, 1, 4), (2, 4, 1), (1, 3, 3), (3, 3, 1), (3, 1, 3), (2, 2, 3), (2, 3, 2), (3, 2, 2), (1, 5, 1), (5, 1, 1), (1, 1, 5)}

n(A) = 15

So, the probability that the sum of the faces is 7 = 15/216

Hence, if the probability that the sum of the faces is 7 can be represented by m/n in simplest form then m = 15 and n = 216

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plsss don't pickk E
...................................

Answers

Answer:

answer is c!

because it's domain is -7!!

a conducting sphere of radius r is connected to ground through a battery with a voltage vo as shown. a. assuming ground is at infinity, find the net charge on the sphere. the sphere is disconnected from the battery, and a thick shell of a neutral, polarizable material is placed around the sphere. b. on the diagram, sketch vectors to indicate the direction of the polarization density in the shell. where do positive and negative bound charges appear? explain. c. consider a point inside the polarizable shell. at this point, is the magnitude of the net electric field greater than, less than, or equal to the magnitude of the electric field before the shell was added? explain. consider a point outside the shell. at this point, how does the magnitude of the electric field with the shell compare to before the shell was added? explain. d. is the electric potential difference between the sphere and ground in this case greater than, less than, or equal to the electric potential difference before the shell was added? explain. the sphere is re-connected to the battery with the shell still attached. e. will the total amount of charge on the sphere change? explain why or why not. f. does adding this polarizable shell change the capacity of the sphere to hold charge? explain.

Answers

when the charged rod is brought closer to the sphere negative charges get induced on the sphere by gathering some electrons from the ground and the negative  remain on the sphere even after disconnecting it.

here the ground acts as a reservoir of electrons.a conducting sphere of radius r is connected to ground through a battery with a voltage vo as shown. a. assuming ground is at infinity, find the net charge on the sphere. the sphere is disconnected from the battery, and a thick shell of a neutral, polarizable material is placed around the sphere.

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Consider the figure shown below. Find the value of each variable mentioned in the figure below​

Answers

a = 26, b = 64, c = 42

-------------------

The measure of an inscribed angle is half the measure of the intercepted arc:

a = 52/2 = 26,c = 84/2 = 42.

Angles a and b sum to a right angle since inscribed between the tangent and diameter.

Then we have:

a + b = 9026 + b = 90b = 90 - 26b = 64

suppose x is a normal random variable with exam image and exam image find p(3.6 < x < 53.5). a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.

Answers

After using the test statistic z, P(3.6<X<53.5) = 0.967.

In the given question, suppose X is a normal random variable with mean 35 and sdev 10.

We have to find P(3.6<X<53.5).

Fro the given question,

Mean x = 35

sdev s = 10

Z = X - mu / sd

P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )

P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )

P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )

P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)

left tail of both

P(3.6<X<53.5) = 0.9678 - 0.0008

P(3.6<X<53.5) = 0.967

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The right answer is:

Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)

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with relatively symmetric faces and bodies are generally seen as more attractive than others. Which of the following is FALSE regarding this symmetry effect?A. When women are judging men, the effect is stronger among women who are ovulating (most prone to getting pregnant) than women who aren't.B. The effect is stronger among men rating women than among women rating men.C. The effect can occur just based upon smell; people literally do not need to see symmetric people in order to prefer them.D. The effect seems to occur, at least in part, because symmetry is a sign of good health. 3) AaSquare with an area of 25m andperimeter of 20 is reflected across lineL, then translated 20m right, and thenrotated 20 degrees clockwise, what isarea and perimeter after these transformations?the please help me with my homework Find the value of x in the parallelogram Quickly and fast which expression is equivalent to 4(3/4y - 2 + 1/2y? choose all that apply a.4y-8b.5y-8c.3y-8+2yd.-3ye.3y+8+2yf.5y+8 what is the calcium ion concentration, [ca2 ], in 1.5m calcium chloride, cacl2? what is the chloride ion concentration, [cl1-]? 1) one major advantage of using arabidopsis thaliana as a model system for studies of plant form and function is its a) fast generation time. b) exceptionally large genome. c) large seeds. d) high tolerance to stress. e) high mutation rate. What mode of transportation is limited to specialized products such as liquids and gases?. a nurse who works in a long-term care facility has observed the high incidence of infectious illnesses among the older adults who reside there. what is the best explanation for a diminished immune capacity in older adults? a company reported that its bonds with a par value of $50,000 and a carrying value of $60,500 are retired for $64,200 cash, resulting in a loss of $3,700. the amount to be reported under cash flows from financing activities is: if the fda schedules an appointment to inspect your studies, which department at emory should you contact first in preparation for the fda visi which of the following options is not one of the four fundamental types of relationships? a. equality matching b. communal sharing c. relationship preservation d. market pricing the effect theory illustrates president eisenhower's view that the communist takeover of one government might cause others to fall. eisenhower suez domino china communist 20 chairs at four tables equals how many chairs per table representative jansen, a u.s. congresswoman, believes in the reproductive rights and welfare of women but voted to ban late-term abortions. jansen feels very uneasy about the conflict between her beliefs and her behavior. this sense of unease is what psychologists call prepare a differential analysis report comparing operations utilizing the new machine with operations using the old machine. the analysis should indicate the differential income that would result over the eight-year period if the new machine is acquired. true or false (explain): being a price-taker means the firm can set any price for the goods it produces. a recipe for vanilla cake calls for 2 cups of sugar for every 4 eggs. what is the ratio of sugar to eggs? You and a classmate have been paired to solve an equation. Your partner says they got an answer but the solution they found does not work when they checked it. Here is their work: 6 (8-3x ) 3 (9x1 )+ 60 54 - 18x = 27x 3 + 6054 - 18x = 27x + 57-18x = -27x + 39x = 3x= 1/3Explain all of the mistakes your partner made and how to correct them. After correcting the mistakes, write the correct answer for this equation. the nurse educator is preparing to conduct a teaching session for the nursing staff regarding the theories of growth and development and plans to discuss kohlberg's theory of moral development. what information should the nurse include in the session? select all that apply a client with a diagnosis of schizophrenia is admitted to the psychiatric hospital in a catatonic state. during the physical examination, the client's arm remains outstretched after the nurse obtains pulse and blood pressure readings, and the nurse must reposition the arm. this client is exhibiting: