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Marianna [84]
3 years ago
15

How many subsets of 1,2,3,4,6,8,10,15 are there for which the sum of the elements is 15

Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer:

6

Step-by-step explanation:

10+5

10+1+4

10+3+2

8+1+2+4

8+6+1

6+4+3+2


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Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro
mrs_skeptik [129]

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.

8 0
3 years ago
Read 2 more answers
(t9)-8 what is the simplify expression
musickatia [10]
The answer would be -72t because all you would have to do is multiply the expression
7 0
3 years ago
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Help me solve this problem
ruslelena [56]

Answer:

The length of the missing leg is six

Step-by-step explanation:

Assuming that this is a right triangle, you can use the Pythagoras theorem

12^2+x^2=sqrt180^2

144+x^2=180

x^2=36

x=6

Therefore, the length of the missing leg is six.

8 0
2 years ago
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What is 84 divide by 4
prohojiy [21]
The answer to 84 divided by 4=21.
3 0
3 years ago
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How many milliliter of pure acid should be added to 10 ml of 20% acid to make 50% acid solution? Round answer to the nearest hun
Ymorist [56]
We have 10 ml of 20% acid to which we need to add "x" milliliters of 100% acid to make 50% acid.
 
.20 * 10 + 1.00x = .50 * (10 +x)
in which "x" is the volume of the 100% acid to be added.
2 + x = 5 + .5 x
.5x = 3
x = 6 milliliters

Source:
http://www.1728.org/mixture.htm
Scroll down to problem B


5 0
3 years ago
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