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
miss Akunina [59]
3 years ago
11

Consider the ellipse 25xsquared plus 4y squared equals 1 in the​ xy-plane. a. If this ellipse is revolved about the​ x-axis, wha

t is the equation of the resulting​ ellipsoid? b. If this ellipse is revolved about the​ y-axis, what is the equation of the resulting​ ellipsoid?
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0

Answer:

  • about x: 25x² +4y² + 4z² = 1
  • about y: 25x² +4y² +25z² = 1

Step-by-step explanation:

When the figure is revolved around the x-axis, its extent in the z-direction will match its extent in the y-direction. So, the z-term will have the same coefficient as the y-term. 25x² +4y² +4z² = 1

Similarly, when the figure is revolved around the y-axis, its extent in the z-direction will match its extent in the x-direction. Then the z-term will have the same coefficient as the x-term. 25x² +4y² +25z² = 1

You might be interested in
If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdra
Burka [1]

Answer:

The amount is $3372.13 and the interest is $872.13

Step-by-step explanation:

5 0
2 years ago
The mean of the data set is 40 and one standard deviation is 5. About what percent of the numbers fall between 35 and 50?
Nataly [62]

Answer:

The correct option is D. 81.8%

Step-by-step explanation:

Mean of the data set is given to be 40

⇒ μ = 40

Standard deviation of the data set is given to be 5

⇒ σ = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

\implies z =\frac{x-\mu}{\sigma}

Now for P(35 < x < 50) :

Substitute x = 35 ⇒ z = -1

Substitute x = 50 ⇒ z = 2

So, P(-1 < z < 2) = P(z < 2) - P(z < -1)

⇒ P(-1 < z < 2) = 0.9772 - 0.1587

⇒ P(-1 < z < 2) = 0.8185

⇒ P(-1 < z < 2) = 81.8%

Therefore, 81.8% percent of the numbers fall between 35 and 50

Hence, The correct option is D. 81.8%

8 0
3 years ago
At 4:00 a.m., the outside temperature was -28°F. How much warmer does 1 pc
asambeis [7]

Step-by-step explanation:There's a hundred and four days of summer vacation

'Til school comes along just to end it

So the annual problem for our generation

Is finding a good way to spend it

Like maybe

Building a rocket or fighting a mummy

Or climbing up the Eiffel Tower

Discovering something that doesn't exist

Or giving a monkey a shower

Surfing tidal waves, creating nanobots

Or locating Frankenstein's brain

Finding a dodo bird, painting a continent

Or driving our sister insane

This could possibly be the best day ever

And the forecast says that tomorrow will likely be

A million and six times better

So make every minute count

Jump up, jump in and seize the day

And let's make sure that in every single possible way

Today is gonna be a great day

Crossing the tundra or building a roller coaster

Or skiing down a mountain of beans

Devising a system for remembering everything

Or synchronizing submarines

Racing chariots, taming tiger sharks

Constructing a portal to Mars

Building a time machine, stretching a rubber tree

Or wailing away on guitars

This could possibly be the best day ever

And the forecast says that tomorrow will likely be

A million and six times better

So make every minute count

Jump up, jump in and seize the day

And let's make sure that in every single possible way

Today is gonna be a great day

Let's put our heads together and design a master plan

We may miss dinner but I know mom will understand

We've got our mission and some pliers

Yogurt, gumballs and desire

And a pocketful of rubber bands

The manual on handstands

A Unicycle, compass

And a camera that won't focus

And a canteen full of soda

Grab a beach towel

Here we go!

This is Ferb-tastic!

This could possibly be the best day ever

And the forecast says that tomorrow will likely be

A million and six times better

So make every minute count

Jump up, jump in and seize the day

And let's make sure that in every single possible way

Seriously, this is gonna be great!

This could possibly be the best day ever

Today is gonna be a great day

This could possibly be the best day ever

8 0
3 years ago
2 m − 3 ≤ 5 m + 15 solve this equation
Paul [167]

Answer:

<h3>m≥ -6</h3><h3 />

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The table shows the number of people waiting in line for different rides at an amusement park.What is the ratio of people waitin
Mashcka [7]

Answer:

11:4

Step-by-step explanation:

Hello. All you have to do here is make it as a fraction, so it would be people at the round-up to people at the slingshot. Really it would be a fraction, but on this question it wants a ratio. Hopefully you understand! :D

7 0
2 years ago
Read 2 more answers
Other questions:
  • Is 15 a multiple of each of its factors
    6·1 answer
  • Joseph cycled a distance of 4 miles in 45 minutes.
    10·2 answers
  • What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
    8·1 answer
  • The area of rhombus ABCD is 120 square units.
    14·2 answers
  • can you help me write an equation to this problem four times the sum of a number and is -3 is 27 less than the number
    15·1 answer
  • Help me with this question please
    9·2 answers
  • Please help i’ll give brainliest
    15·1 answer
  • I NEED HELP PLEASE!!
    13·2 answers
  • The sum of the first n consecutive even numbers can be found using S = n2 + n. What is the value of n when the sum is 272?
    7·2 answers
  • Please help (get brainliest)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!