1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vlabodo [156]
3 years ago
7

Find the geometric mean of 24 and 45​

Mathematics
1 answer:
Allushta [10]3 years ago
3 0
G.M. of 24 and 45:
(24*45)^(1/2) = 32.863
You might be interested in
(1 point) A student was asked to find the equation of the tangent plane to the surface z=x2−y3 at the point (x,y)=(5,1). The stu
Nonamiya [84]

Answer:

Options a and d are the correct ones.

Step-by-step explanation:

The complete question is as follows

A student was asked to find the equation of the tangent plane to the surface z = x^2-y^3 at the point (x,y)=(5,1). The student's answer was  z = 24+2x(x-5)-3y^2(y-1). (a) At a glance, how do you know this is wrong. What mistakes did the student make? Select all that apply.

a) The answer is not a linear function

b) The (x-5) and (y-1) should be x and y

c) the 24 should not be in the answer

d) the partial derivatives were not evaluated at the point

e) all of the above.

Recall that, given a surface of the form z=f(x,y) where f is differentiable, then at a given point (x_0,y_0) we can find the equation of the tangent plane by

z=f(x_0,y_0)+\frac{df}{dx}(x_0,y_0) (x-x_0)+\frac{df}{dy}(x_0,y_0) (y-y_0)

We are given that (x_0,y_0) = (5,1) Note that f(5,1) = 24. Then, c is not true. Also, the formula says that we must have the factors (x-5) and (y-1), since we are evaluating the tangent plane in a neighborhood of that point, hence option b is not true. Since B and C are not true, then E is not true. Note that the given function by the student has a mutiplication of 2x and (x-5) which will give us the function 2x^2-10 which is of degree two. Then, the function given by the student is not a linear function, since linear functions have a degree at most 1. Finally, we must check that d is also true.

REcall that

\frac{df}{dx} = 2x, \frac{df}{dy} = -3y^2

so we see that this coincide with the the terms that multiply the factors (x-5) and (y-1) respectively, which tell us that even though the student was trying to follow the formula, he/she forgot to evaluate the partial derivatives at the given point, hence the option D is also true.

Recall that if we want the tangent plane at the point given, we must evaluate the partial derivatives at x=5 and y=1. Hence, the formula of the tangent plane is

z = 24+10(x-5)-3(y-1)

5 0
2 years ago
Consider the Graph Choose True or False for each statement.
lakkis [162]

Answer:

True, False, False, True

6 0
3 years ago
Read 2 more answers
Find an equation of the line described below. Write the equation is slope-intercept from ( solved for y), when possible. Through
Sladkaya [172]

Answer:

The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

Step-by-step explanation:

Given that the line passes through the point (5,4).

As the line is parallel to the x-axis, the slope of the line would be zero.

And we have point (5,4) from which the line is passing.

So, x_1=5\  ,\ y_1=4\ and\ m=0

The equation of the line passing through point (x_1,y_1) is

y-y_1=m(x-x_1)\\y-4=0(x-5)\\y-4=0\\y=4

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be y=4

4 0
3 years ago
Which term describes the set of all possible output values for a function?
Firdavs [7]

The <em><u>correct answer</u></em> is:

C. Range

Explanation:

The definition of domain is the set of all possible input values, or x-values, of a function.

The definition of range is the set of all possible output values, or y-values, of a function.

3 0
3 years ago
Read 2 more answers
Which of these is a unit of density?<br> km/m<br> kg/m?<br> kg/m<br> kg/m
Zielflug [23.3K]

Answer: Kg/m³

Step-by-step explanation: Mass/ Volume

5 0
3 years ago
Read 2 more answers
Other questions:
  • The frequency of A4 is 440.00 Hz.<br> what is the frequency of A6, which is two octaves above A4?
    5·2 answers
  • What percent of 300 is 51?
    5·1 answer
  • A standard paper clip is 1 1/4
    15·2 answers
  • Combine like terms to simplify the expression:<br> 1.17-0.07a+(-3.92a)
    10·1 answer
  • EMERGENCY!!! What is the volume of the following rectangular prism
    11·2 answers
  • 99 pints = how many quarts
    8·2 answers
  • 2 divided by 3 2/3<br> 4 3/4 divided by 7/8
    7·1 answer
  • Please help me on both?!?
    7·1 answer
  • Jada has read 3/5 of a book. she has read 75 so far. how many pages are in the whole book?​
    11·1 answer
  • Find The Angle (See Image)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!