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
yKpoI14uk [10]
3 years ago
14

Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro

ughout the year as a function of time. A ball is hit into the air by a baseball player, rises until it reaches its highest point, and then falls into left field. The volume of a spherical balloon increases as the balloon is blown up and decreases as air is let out of it.
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
8 0

Answer:

  • a) Restriction: days of the year (a discrete time)

  • b) The time the ball is on the air: t = 0, until the balls touchs the ground (any real value from t = 0 to t when the ball hits the ground)

  • c) Any positive real value: x ≥ 0

Explanation:

The <em>domain </em>is the set of elements that can be inputs of the <em>function</em>.

<u><em>1. The price of a stock fluctuates several times throughout the year as a function of time.</em></u>

The input variable is the time through out the year.

If you assume that the fluctuaion is recorded once a day, and not every second, the logical assumption is that the time is a day of the year.

Thus, the restricion is the days of the year.

You could represent them in different forms, like DD/MM/YY, or even as a number from 1 to 365 if it covers just one year.

<u><em></em></u>

<u><em>2. A ball is hit into the air by a baseball player, rises until it reaches its highest point, and then falls into left field.</em></u>

The domain is the time the ball is on the air, which may be any real value from t = 0, until the balls touchs the ground.

It is not restricted to integer numbers.

<u><em>3. The volume of a spherical balloon increases as the balloon is blown up and decreases as air is let out of it.</em></u>

The inputs of the function are amounts of air, which may be measured as number of moles.

The number of moles can be any real value equal or greater than zero.

Thus, the domain is the positive real values x ≥ 0.

nydimaria [60]3 years ago
5 0

Answer:

A.) Time is bounded below by zero, or by whatever time the stock price begins to be tracked (the beginning of January, for example), because it doesn’t make sense to have negative time.

B.) Again, time can’t be negative, so the domain is bounded below by zero. Since the height also can’t be negative, the domain is bounded above by the time when the ball hits the ground.

C.) The radius of the balloon is bounded below, because the balloon won’t continue to get smaller once all the air is removed. The radius is also bounded above because at some point the balloon can’t be blown up any more or it will pop.

Step-by-step explanation:

You might be interested in
A triangle has sides with lengths of 6 inches, 8 inches is it a right triangle? ​
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

8²+6²=100

√100

=10

6 0
3 years ago
Can someone please help me with these questions.
Juli2301 [7.4K]

Answer:

Question 1 - 81.74 Pound sterling

Question 2 - 20.28 Pound sterling

Question 3 - 21.72 United States Dollar

Question 4 - 429.38 New Zealand Dollar

Question 5 - 451.28 Euro

Question 6 - 2,936.88 Chinese Yuan

(That's all I got.)

5 0
3 years ago
A bouncing rubber ball has each of the following except _____.
REY [17]
The answer is c heat
6 0
3 years ago
Determine whether or not the two triangles are congruent. If they are state by what postulate.
avanturin [10]
Congruent
SSS (because of Pythagoras)
8 0
3 years ago
Find the product 4 2/3 x 3 3/4
storchak [24]

Answer:

45.6

Step-by-step explanation:

trust me bro(don't)

7 0
3 years ago
Read 2 more answers
Other questions:
  • The length of RT is 4x-4.Given that point S is between point R and T,
    14·1 answer
  • What number is one fourth of the way between 4 and 12.4
    5·1 answer
  • Alice, Bryan and Cindy share the cost of renting an apartment in the ratio
    7·1 answer
  • What is the answer to ....... <br>-6 + 10 + (-7)=?​
    14·2 answers
  • 1/2x-6=-6+1/2x solve and show work plss :))
    8·1 answer
  • The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number
    14·1 answer
  • Need this real quick, please.
    13·2 answers
  • A rectangular lot is 75 yards wide and 120 yards long. Give the length and width of another rectangular lot that has the same pe
    10·1 answer
  • Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
    7·1 answer
  • Help me on this math thing
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!