The difference of squares method:
a² - b² = (a-b ) (a+b)
54² - 46² = (54+46) · ( 54 + 46 )= 100 · 8 = 800
Answer: B)
Mathematics majors 
Computer science majors 
We need to use product rule because the first event is picking the mathematics major and second event is picking the computer science major

We need to use sum rule because the first event is picking OR mathematics major and second event is picking the computer science major

What is mathematics ?
- One of the most essential disciplines is mathematics.
- Math is a topic that involves numbers, forms, facts, measurements, and logical processes.
- Every aspect of our lives, including medical, engineering, finance, the natural sciences, economics, etc., are greatly affected by it.
- The universe of mathematics is all around us.
- Mathematical ideas, theories, and formulae have a wide range of practical applications.
- We must master the formulae and principles in order to solve diverse difficulties. To comprehend its many uses and relevance, it is crucial to grasp this subject.
So the more about mathematics visit.
brainly.com/question/24204166
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A 33 gram sample has k value of .1124
(Actually I think the problem SHOULD be worded: A 33 gram sample has k value of -.1124/days)
See attached graphic:
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.1124/days
Half-Life =
<span>
<span>
<span>
6.1667882562
</span>
</span>
</span>
days
Source:
http://www.1728.org/halflif2.htm
<h3>
Answer: 12/25</h3>
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Reason:
60% = 60/100 = 0.6 is the probability of making any given free-throw.
1 - 0.6 = 0.4 is the probability of missing any given free-throw.
We have these probabilities
- A = P(making 1st, missing 2nd) = 0.6*0.4 = 0.24
- B = P(missing 1st, making 2nd) = 0.4*0.6 = 0.24
The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48
Convert this to a fraction:
0.48 = 48/100 = (4*12)/(4*25) = 12/25
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.
How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.
1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.
6C + 7S = $174
10C + 14S = $318
2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.
-12C - 14S = -$348
10C + 14S = $318
Combine like terms.
-2C = $30
Divide by -2 on both sides. The left side cancels out.
C = $30/-2
C = -$15 (In this case the negative doesn't matter)
C = $15 (cost of senior citizen ticket)
Plug the value of C into any of the two equations so we can get the value of S.
6($15) + 7S = $174
Distribute the 6 into the parenthesis.
$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.
7S = $84
Divide both sides by 7.
S = $12
Student ticket: $12
Senior citizen ticket: $15