14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17
3 drops per minute
20 drops = 1 ml
How many minutes are there in a day?
60*24 = 1,440 minutes
1,440*3 = 4320 drops
How many milliliters?
4320/20 = 216 ml
Answer:
3/4 pounds
Step-by-step explanation:
Given the weights :
weight of beans 1/4 pound, 1/2 pound, 3/4. pound and 1 pound.
Greatest weight = 1 pound
Least weight = 1/4 pound
Difference = greatest weight - Least weight
Difference = (1 - 1/4) pound
Difference in weight = 3/4 pounds
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer:
up 2, right 3
Step-by-step explanation:
up 2, to the right 3.
