Answer:

Step-by-step explanation:
we would like to expand the following logarithmic expression:

remember the multiplication logarithmic indentity given by:

so our given expression should be

by exponent logarithmic property we acquire:

hence, our answer is A
Answer:
f(3) = 3
Step-by-step explanation:
f(1) = 1
f(2) = 2
f(n) = f(n − 2) + f(n − 1)
f(3) = f(3 - 2) + f(3 - 1)
= f(1) + f(2) = 1 + 2 = 3
Special Note: Have you heard of the Fibonacci sequence?
The formula f(n) = f(n − 2) + f(n − 1) is used to find the terms of the of the Fibonacci sequence
Answer:
The water she need is
and strawberry syrup
.
Step-by-step explanation:
Given:
Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.
Now, to find the quantity of water and syrup she need to use.
As given in question ratio so:
Strawberry syrup = 2 1/4 = 9/4.
Water = 3/4.
Total cups of strawberry drink = 15 3/4 = 63/4.
Let the strawberry syrup be
.
And let the water be
.
According to question:
.
<em>On adding the fractions:</em>
⇒
⇒
<em>Multiplying both sides by 4 we get:</em>
⇒
<em>Dividing both sides by 12 we get:</em>
⇒
<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>
⇒
Now, putting the value of
on ratios:
Strawberry syrup =
= 
=
Water = 
=
= 
Therefore, the water she need is
and strawberry syrup
.
Answer:
B
Step-by-step explanation:
For 11 1/2 gallons, he paid $36.80.
We need to find the cost per gallon.
First, converting 11 1/2 gallons to decimal, it is:
1/2 = 0.5
So, 11 1/2 is 11.5 gallons
So, Cost Per Gallon (last week) = 
There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.
<em>5% = 5/100 = 0.05</em>
<em>0.05 * 3.20 = 0.16</em>
<em>So,</em>
<em>3.20 + 0.16 = $3.36 per gallon</em>
<em />
Cost Per Gallon (this week) = $3.36
To buy 9 1/4 gallons it would take:

<u>Note:</u> 1/4 = 0.25, so 9 1/4 = 9.25
It would cost $31.08 to buy 9.25 gallons this week
Correct answer is B
To find Y you must divide two by each side, making y=-2
- I hope this helps :)