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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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Round 3,872.3155 to the nearest hundred
zlopas [31]

Answer:

3,872.32

Step-by-step explanation:

the nearest hundredth is 2 numbers on the right of the decimal sign. So you round up from 5 to get answer above.

6 0
2 years ago
erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b
bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made =  x

Let the number of bracelets made by Erica  = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x  times 3 hours  = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y  times 2 hours  = 2y

So, total time taken to make x necklace and y bracelets =  3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets =  18 x + 15 y

So according to the question:

x + y =  25 ..... (1)

3x + 2y = 60  ....  (2)

Solving the above system  substitute y =  25- x in (1)

we get: 3x + 2y = 60 ⇒  3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x  =  25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

8 0
2 years ago
Read 2 more answers
Patricia is separating 16 soccer cards and 22 baseball cards into groups each group have the same number of cards madk and each
Rama09 [41]
We have to find the Greatest Common Factor of 16 and 22.GCF ( 16, 22 ) = 2So the greatest number of cards she can put in each group is 2.16 : 2 = 822 : 2 = 11There will be 8 groups of soccer cards and 11 groups of baseball cards.

3 0
2 years ago
Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.
kotegsom [21]
X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

x + (7 -3i) + (5 + 9i) = 10 - 18i

Subtract (5 + 9i). MAKE SURE YOU SUBTRACT 9i TOO. In other words, distribute the negative and subtract 5 and 9i at the same time.

x + (7 - 3i) = 5 - 27i

Do the same with (7 - 3i). You'll be adding 3i since -(-3i) = 3i.

x = -2 - 24i
5 0
2 years ago
Read 2 more answers
The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th
Anit [1.1K]

we are given

a=f(t)=2t^2

we can use average rate of change formula from t=a to t=b

A=\frac{f(b)-f(a)}{b-a}

Here, we are given from t=1 to t=4

so, we will get formula as

A=\frac{f(4)-f(1)}{4-1}

now, we can plug values

A=\frac{2(4)^2-2(1)^2}{4-1}

now, we can simplify it

A=10

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4  is 10 acres/ month.............Answer

6 0
2 years ago
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