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:
Part A) 82% of $5.00 is $4.10.
Part B) Less, because $5.00 is 2x as much as $2.50, therefore anything over 50% would be less, and anything under would be more.
Answer:
$319.60
Step-by-step explanation:
Normal Game console cost : $399.50
Discount: %20 (0.20)
$399.50×0.20= $79.90
Total cost of discount $79.90
$399.50-$79.90= $319.60
New cost after Discount= $319.60
Answer:
-24/5
Step-by-step explanation:
The solution to the problem is as follows:
cscx < 0 means 1/sinx < 0, or sinx < 0.
sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established
sinx is negative.
sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25
cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5
tan2x = sin2x / cos2x = -24/5
