Answer:
f(3) = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 1/3x + 5
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute: f(3) = 1/3(3) + 5
- Multiply: f(3) = 1 + 5
- Add: f(3) = 6
Proof with explanation:
We know that the sum of first 'n' terms of a Geometric progression is given by
where
a = first term of G.P
r is the common ratio
'n' is the number of terms
Thus the sum of 'n' terms is
Now the sum of first '2n' terms is
Now the sum of terms from 
to 
term is 
Thus the ratio becomes
Answer:
25%
Step-by-step explanation:
3/4 (the probability of drawing a quarter) would equal 75% plus 1/4 (the coin that isnt a quarter) would equal 25% so 75% + 25% = 100%
Answer: 17.69 miles
Step-by-step explanation:
Activity time (hours) :
Activity - - - - - - - - - - - - - time (hours)
Hiking - - - - - - - - - - - - - - - - - - - - 3
Mountain biking - - - - - - - - - - - 1.45
Horseback riding - - - - - - - - - - 1.2
Cross-country skiing - - - - - - - - 0.75
Average speed = 12.2 miles per hour.
How many miles did Brian bike?
Recall;
Speed = distance ÷ time
Distance = speed × time
Speed = 12.2 mi/hr
biking time = 1.45 hours
Distance (mountain biking) = 12.2 × 1.45 = 17.69 miles
Answer: 13225.7
Step-by-step explanation:
The volume of a cylinder is π × r² × h (height)
18 meters squared is 324, 324 times 13 is 4212, and then finally we multiply 4212 by π (3.14), which is approximately 13225.7
