Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
Answer:
2 
Step-by-step explanation:
Change the mixed numbers to improper fractions
(
- 
) + 
← the LCM of 2 and 3 is 6
= 
- 
+ 
= 
- 
+ 
= 
+
= 
= 
= 2
<h2>
Answer:</h2>
The conditional statement is:
- If two lines are parallel then they lie in the same plane.
<h2>
Step-by-step explanation:</h2>
We know that a conditional statement is the statement which is written in the form of:
If p then q i.e. p → q
where p is the hypothesis of the statement.
and q is the conclusion of the statement which is based on the hypothesis.
Here we are given a statement as:
Two parallel lines lie in the same plane.
i.e. the hypothesis of the conditional statement is:
Two lines are parallel.
and conclusion is: They will lie in the same plane
( Because if two lines lie in the same plane then we can't conclude that they will be parallel )
Answer:
A = B + 15
Step-by-step explanation:
Let Diane sold B books in one hour,
Additional earning by selling 1 book = 1$
Additional earning by selling B books = Number of books sold × Additional earning by selling one book
= B × ($1.00)
= $B
Fixed earning of Diane in one hour of part time = $15
Total earnings = B + 15
A = B + 15
Table to find the input-output values for the graph,
A 15 16 17 18
B 0 1 2 3
Now we can plot the points on the graph.
