if angles of a triangle are congruent then are the sides also congruent

The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

From the above given data, the following solution is given below:

Given:

Let f(x,y,z) = x³z - yz²

To find the partial derivatives of f

Here the directional derivative of a function f(x,y,z) is given by:

(df/dx , df/dy, df/dz)

df/dx = 3x²

df/dy = -z²

df/dz = x³ - 2yz

at points(1,3,2)

(df/dx)₍₁,₃,₂₎ = 3(1)² = 3

| (df/dx)₍₁,₃,₂₎ | = 3

(df/dy)₍₁,₃,₂₎ = -2² = 4

| (df/dy)₍₁,₃,₂₎ | = 4

(df/dz)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11

| (df/dz)₍₁,₃,₂₎  | = 11

As we got the maximum modulus of derivative in direction of x. Since, therefore we should move into z direction to maximize the directional derivative.

(df/dz)₍₁,₃,₂₎  = -11

Hence, the instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

To know more about derivative check the below link:

https://brainly.com/question/28376218

#SPJ4

The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point | (∂f/∂z)₍₁,₃,₂₎  | = 11.

What is instantaneous rate of change?

The derivative value change at a particular point is the same as the instantaneous rate of change, which is the change in rate at a specific instant. The tangent line slope and the instantaneous rate of change at a given point on a graph are the same. That is, the slope is curved.

From the given data, the solution is given below:
Given:
Let f(x, y, z) = x³z - yz²
To find the partial derivatives of f
Here the directional derivative of a function f(x, y, z) is given by:
(∂f/∂x , ∂f/∂y, ∂f/∂z)

∂f/∂x = 3x²

∂f/∂y = -z²

∂f/∂z = x³ - 2yz

at points(1,3,2)

(∂f/∂x)₍₁,₃,₂₎ = 3(1)² = 3

| (∂f/∂x)₍₁,₃,₂₎ | = 3

(∂f/∂y)₍₁,₃,₂₎ = -2² = 4

| (∂f/∂y)₍₁,₃,₂₎ | = 4

(∂f/∂z)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11

| (∂f/∂z)₍₁,₃,₂₎  | = 11

As we got the maximum modulus of derivative in direction of z. Since, therefore we should move into z direction to maximize the directional derivative.
(∂f/∂z)₍₁,₃,₂₎  = -11
Hence, The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

To know more about instantaneous rate of change, click on the link
https://brainly.com/question/24592593
#SPJ4

Complete question:

Complete question is attached below.

Answer:

Use the Triangle Proportionality Converse. If the ratios are equal, then the lines are parallel.

Answer: y=-3

Step-by-step explanation:  In order to figure out what y would be in this problem, you would subtitute -1 in for x . and ask your self " What is 2* a -1? , The answer to that question would be -2 , ok. then the next step is to take the -2 and subtract by y which in case is 1 or -1 which will get you the answer of y=-3.

Hoped that helped!

The equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x, is y = 4 + x.

Two or more expressions with an equal sign are defined as an equation.

Given that, Leon has already taken 4 quizzes, and now, he will have 1 quiz per week.

The number of quizzes taken by Leon in x weeks is:

1x

=x

Since Leon already has 4 quizzes, the total number of quizzes after x weeks is:

y = 4 +x

Hence, the equation that shows how the total number of science quizzes, y, depends on the number of weeks that have passed, x, is y = 4 + x.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ1

Answer:35.70

Step-by-step explanation:

Answer:

35.7

Step-by-step explanation:

Regular priced is=. ₹42

off persent is =15%

15/100×42=6.3

42-6.3=35.7

The name of the property is transitive property if 3x= 4 and 4=z then 3 =z.

According to the transitive property, "if two quantities are equal to the third quantity, then we can claim that all quantities are equal to each other." The term transitive refers to the act of transferring something. If a, b, and c are three quantities and an is connected to b by some rule and b is related to c by the same rule, then a and c are related to each other by the same rule; this is known as the transitive property of equality.

The transitive property of equality states that if a = b and b = c for any values of a, b, and c, then a = c. In other words, because a and c are both equal to the same item (in this case, b), they must be equal as well.

Given,

3x=4 and 4=z then 3=z

Here a=3, b=4, c=z

The name of the property is transitive property

To know more about transitive property, visit:

https://brainly.com/question/2437149

#SPJ1

Answer:

5

Step-by-step explanation:

Answer:

A) convex B) convex C) concave D) concave

Step-by-step explanation:

concave means going in on itself and convex is going outwards.

If the value of test statistic does not lie between -1.96 and +1.96 then, the difference would be significant and the null hypothesis will be rejected.

Using the significance levels as reported by forecast Xtm, we would check the difference of means between the two items.

The critical value of Z at 95% confidence level is 1.96.

Then we would calculate the Test statistic, viz, difference of means/ standard deviation.

Decision Rule:

If we find that the value of test statistic is more than the value of Z, i.e., the test statistic does not lie between -1.96 to +1.96, then, the difference would be significant and the null hypothesis must be rejected.

But, the other way round, if the difference between the two means is not significant at the 95% confidence level,  then the null hypothesis should not be rejected.

To know more about null hypothesis:

https://brainly.com/question/9546890

#SPJ4

The mean GPA is greater than 2.75.

A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.

Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.

GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.

Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.

Mean GPA = total / 50    

                  = 2.75.

Learn more about Mean Grade Point Average:

https://brainly.com/question/16905011

#SPJ4

dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.

The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.

Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.

Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.

So, the dx/dt will be:

The circle's equation is: x² + y² = 16

Assuming that x = 2, then:

2² + y²   = 16

y² = 12

y = ±√12

Hence, the first quadrant is positive:

y = √12

y = 2√3

When implicit differentiation is used, we get that:

2x dx/dt + 2y dy/dt = 16

If fracdydt = -3, as is the case, then

2(2) dx/dt - 12√3 = 16

4 dx/dt = 16 + 12√3

dx/dt = 16+12√3/4

dx/dt = 4+3√3

Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.

Know more about implicit differentiation here:

https://brainly.com/question/25081524

#SPJ4

Answer: $17.16

Step-by-step explanation:

To find the cost of the untaxed money, you have to divide your sales tax amount by the tax rate.

1.16÷.0725=16

Once you have your untaxed amount, you then add your sales tax to your untaxed amount,

16+1.16=17.16

Ginny initial charge = $80, Bob initial charge =$60 For the initial fee, Bob charges less than Ginny.

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.

Ginny initial charge = $80

Bob initial charge =$60

Hence, For the initial fee, Bob charges less than Ginny.

To learn more about unit rate form the given link

brainly.com/question/11258929

#SPJ1

Answer:

28

Step-by-step explanation:

first, find out 12 / 3, which is 4

next multiply 4 by 7, which is 28

3:7 = 12:28

Answer: $0.14

Step-by-step explanation: All we have to do is divide $1.12 by 8 to get our answer, that being $0.14.

Lets break this down.

We are given the amount of students, which is 33, and so far the amount of boys in the class, which is 4. This can easily be written as [tex]\frac{4}{33}[/tex]. Now, we have a remainder of 29 students (most likely them being girls). This means that the fraction of the class that are girls would be [tex]\frac{29}{33}[/tex].

Hope this helps!

Answer: -13.7142x ≈ -13.72x

Step-by-step explanation:

Combine like terms. (-4/7) and (4/7) cancel each other out because you are subtracting the exact number you are starting with. So you are left with 2/7x - 14x. 2/7-14 = -13.7142 so the answer is -13.7142x. Depending on how you round, the number will be slightly different. You may want to round to the nearest hundredth or tenth place.

(I left out the x in the answer in the picture but it is supposed to be after the -13.7142)

Answer:

There were 51 managers.

Step-by-step explanation:

First, turn the percentage into a decimal by moving the decimal point over twice to get 0.68. Then, set up this equation:

0.68 x 75 = 51 managers.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer: She bowled 4 games

Step-by-step explanation:

21 - 3 = 18
18 ÷ 4.50 = 4

Answer:

Shakira bowled 4 games.

Step-by-step explanation:

If Shakira paid $3 for rent, we can subtract 3 from 21.

21-3=18.

Now, find out how much 4.50 can go into 18.

First, multiply 4.50 by 2.

4.50x2=9

Now, Since 2 games is $9, multiply 9 by 2.

9x2=18

Now that we found out that 9x2=18, we can see that Shakira bowled 4 games.

Hope this helps! :D

1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

An expression is combination of variables, numbers and operators.

Given expression is  1/2s−4+3/4s+1/8−s³

One by two times of s minus four plus three by four times of s plus one by eight minus s cube.

In the given expression minus, plus are the operators, s is the variable,

The expression has five terms

1/2s, -4, 3/4s, 1/8 and -s³ are the terms

Like terms contain the same variable which is raised to the same power.

In the given expression  1/2s and 3/4s are the like terms

Hence,  1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

We would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.

A confidence interval is a range of estimates for an unknown quantity in frequentist statistics.

The most frequent confidence level is 95%, but other levels, such as 90% or 99%, are infrequently used for generating confidence intervals.

To obtain a 99.7% (almost complete) confidence range for the real population proportion, you would add and deduct around three standard deviations from the sample proportion.

A confidence interval is a range of values that are bound by the statistic's mean and that is likely to include an unidentified population parameter.

The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Therefore we would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.

Know more about the confidence interval here:

https://brainly.com/question/15712887

#SPJ4

Correct question:
To obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about __________ standard deviations to/from the sample proportion.

The standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.

For the stated question-

Let's assume that our sample size is 30 and that the population standard deviation is 10.

standard error = 10/√30 = 1.83

Now let me use a sample size of 100 while keeping overall population standard deviation constant.

=10/10 = 1

It is obvious that with this sample size, the standard error will alter.

Therefore, when our sample size grows, the standard error will drop rather than stay the same.

Thus, the standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.

To know more about the standard error, here

https://brainly.com/question/1191244

#SPJ4

Professional tennis players may constitute a(n) symbolic group for an amateur tennis player

A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.

Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.

Read more about the symbolic group on:

https://brainly.com/question/29038156

#SPJ4

The domain is the set of all words in the English language that has a partial order relation and not a total order relation.

Given:

The domain is the set of all words in the English language (as defined by, say, Webster's dictionary.

Assume,

The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is a substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in the order of the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.

Now, x is related to y if x is a substring of y.

Considering the following points through the example:

(A) Clearly, x is a substring of itself. Therefore, x is related to x and hence it is called reflexive.

(B) If x is related to y or y is related to x then x =y and it is called antisymmetric.

(C) If x is related to y and y is related to û then we can say that x is related to û (i.e. if x is a substring of y and y is a substring of û then x is also inscribed in û. Hence, we called it transitive.

Hence, the order is not the total order relation. It is a partial order relation.

To learn more about partial order visit: https://brainly.com/question/22681784

#SPJ4

Answer:

Your answer would be 1 chocolate chip cookie and 1.5 sugar cookie each.

Step-by-step explanation:

We know that Kim's sister ate two Chocolate Chip cookies, so: [tex]4-2 =2[/tex] and we also know that the rest of the cookies were shared by two people, so:

[tex]3[/tex] ÷ [tex]2 = 1.5[/tex] and [tex]2[/tex] ÷ [tex]2=1[/tex]

Answer:

1/3, 2/3, 4/3, 8/3, 16/3, 32/3

or

1/3, 2/3, 1 1/3, 2 2/3, 5 1/3, 10 2/3

Step-by-step explanation:

Answer:

Sea star tuna

Step-by-step explanation:

The value for speed V is 188.15 m/s

It was given that a particle accelerates from rest with an acceleration of 3 m/s² to a speed V

It continues at this speed for time T and then decelerates to rest at 1.5m/s². The total time for the motion is 1 minute, and the total distance traveled is 1 km

During acceleration:

a = 3 m/s², at rest u = 0, t = T

V = u + at

V = 0 + 3T

V = 3T

During deceleration:

a = 1.5 m/s², t = 1 minute = 60 s, distance(s) = 1 km = 1000 m

V² = u² +2as

V² = (3t)² +2(1.5×1000)

V² = (3×60)² + 3000

V² = 32400 + 3000

V² = 35400

V = √35400

V = 188.15 m/s

Learn more about acceleration on:

https://brainly.com/question/19365526

#SPJ1

Answer:

check the attached file

Step-by-step explanation:

The journal entry for the following transaction will be:

Equipment A/c....Dr. 73120

Prepaid Insurance A/c....Dr. 590

Cash A/c....Cr. 3260

Accounts payable A/c....Cr.  70450

Any cost that has been incurred by the company to make an asset ready to use, is also included in its purchasing price. So, any transportation, legal, or maintenance fee is also included in the asset cost.

The total cost of the new machine = Purchase price + Sales tax + Shipment of machine + Installation of machine

Total cost of new machine = 65,000 + 5,450 + 890 + 1,780

The total cost of the new machine = $73,120

Journal entry for the same:

Equipment A/c....Dr. 73120

Prepaid Insurance A/c....Dr. 590

Cash A/c....Cr. 3260

Accounts payable A/c....Cr.  70450

Learn more about journal entries:

https://brainly.com/question/20421012

#SPJ4