Answer:
C. Starting with a given set of rules and figuring out what must be true
. TRUE
Step by step explanation:
Mathematical Induction
Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.
Here, we assume the statement to be true for a smaller natural number (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.
Now, from the given options:
A. Writing down the steps to solve a complicated math problem
.
FALSE as the induction method is based on ASSUMPTION and INDUCTION.
B. Forming rules based upon observations and experiences
.
FALSE as the induction method is based on ASSUMPTION and INDUCTION. We need to induce the needed statement or Result.
C. Starting with a given set of rules and figuring out what must be true
.
TRUE as the induction method is based on ASSUMPTION and INDUCTION.
We try and find out the result with the given existing data.
D. Reducing the solution to a problem in lowest terms.
FALSE as the induction method is based on ASSUMPTION and INDUCTION.
Answer:
SA = 1099 square inches.
Step-by-step explanation:
Just plug into the formula
SA = 2pir^2 + 2pi r h where pi = 3.14, r = 5 and h = 30
SA = 2 (3.14) (5^2) + 2 (3.14)(5)(30)
SA = 157 + 942
SA = 1099 square inches.
Sorry, but I generally respond to only 1 or 2 problems when someone gives me a long list of homework. It would take you just a little longer to post one problem at a time.
75 5 -375
Let's look at #5: 75 / (-1/5) is the same as -------- = 75 * ------ = --------- -1 -1 1
---
5
and this is equivalent to -375 (answer to #5)
