2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
Answer: The loser's card shows 6.
Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
4 3
5 3
6 2
6 3
9 2
12 1
15 1
18 1
Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.
1 12
1 15
1 18
2 6
2 9
3 4
3 5
3 6
6 2
6 3
Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.
2 6
3 6
Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
Answer:
Step-by-step explanation:
Given
Required
Determine the expression for s
The speed is calculated as:
Substitute S for speed
Let the number of books be b and the time be m.
The expression becomes
Hence, the expression for the scenario is:
Answer:
y = 1/3x - 4/3
Step-by-step explanation:
slope is change in y over the change in x
-1 +3/ 1+5= 2/6= 1/3
y+1 = 1/3(x-1)
y + 1 = 1/3x - 1/3
y = 1/3x - 4/3
Answer:
25 and there a leftpover of 2
Step-by-step explanation:
