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Leokris [45]
2 years ago
14

Jose is applying to college. He receives information on 7 different colleges. He will apply to all of those he likes. He may lik

e none of them, all of them, or any combination of them. How many possibilities are there for the set of colleges that he applies to?
Mathematics
1 answer:
marta [7]2 years ago
6 0

Answer:

128 posibilities

Step-by-step explanation:

We have 7 colleges (A,B,C,...,H) which form a set with seven elements.

What you are asking is the number of elements (or cardinality) of the set that contains all possible sets formed by those 7 elements (or the "power set").

It is known that if n is the number of elements of a given set X, then the cardinality of the power set is 2^n.

Therefore, there are 2^7 or 128 possibilities (or elements) for the set of colleges that he applies to.

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stepan [7]
The decay rate should have units, it should be negative and it should be 100 times smaller than what you posted.
k = -.000124 / years

k = -.000124 / years
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.000124
Half-Life = <span> <span> <span> 5589.8951612903 </span> </span> </span>
Half-Life = 5,590 (rounded)

elapsed time = half-life * log(bgng amt / end amt) / log(2)
elapsed time = 5,590 * log(10) / <span> <span> <span> 0.3010299957 </span> </span> </span>
elapsed time = 5,590 * 1 / <span> <span> 0.3010299957 </span>
</span>elapsed time = <span> <span> <span> 18,569 years

</span></span></span>Source:
http://www.1728.org/halflife.htm



5 0
2 years ago
Read 2 more answers
Share £180 in the ratio<br> 1:9
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Answer:

18:162

Step-by-step explanation:

1:9

1+9=10

(1×180)÷10= 18

(9×180)÷10=162

4 0
1 year ago
During her pre-college years, Elise won 30% of the swim races she entered. During college, Elise won 20% of the swim races she e
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During her pre-college years, Elise won 30% of the swim races she entered. During college, Elise won 20% of the swim races she entered. We can conclude that, in high school and college combined, Elise won <span>more than 20% but less than 30% of the races she entered</span>
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1 year ago
Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no
Triss [41]
2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
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8 0
1 year ago
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation? What
alexandr402 [8]

Answer:

1. Multiply (2) by 2 to eliminate the x-terms when adding

2. Multiply (2) by 3 to eliminate the y- term

Step-by-step explanation:

Use this system of equations to answer the questions that follow.

4x-9y = 7

-2x+ 3y= 4

what number would you multiply the second equation by in order to eliminate the x-terms when adding the first equation?

4x-9y = 7 (1)

-2x+ 3y= 4 (2)

Multiply (2) by 2 to eliminate the x-terms when adding the first equation

4x-9y = 7

-4x +6y = 8

Adding the equations

4x + (-4x) -9y + 6y = 7 + 8

4x - 4x - 3y = 15

-3y = 15

y = 15/-3

= -5

what number would you multiply the second equation by in order to eliminate the y- term when adding the second equation?

4x-9y = 7 (1)

-2x+ 3y= 4 (2)

Multiply (2) by 3 to eliminate the y- term

4x - 9y = 7

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Adding the equations

4x + (-6x) -9y + 9y = 7 + 12

4x - 6x = 19

-2x = 19

x = 19/-2

= -9.5

x = -9.5

6 0
1 year ago
Read 2 more answers
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