Answer: an=8+(n-1)(-6) .
Step-by-step explanation:
Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Answer:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
Answer:
a) h = 6 2/17
b) k = 3 8/17
Step-by-step explanation:
We can make a list of corresponding sides:
AB (17 cm) and DE (13 cm)
BC (15 cm) and EC (8+k cm)
CA (8 cm) and CD (h cm)
Because the triangles are similar, we know corresponding sides are proportional.
<h3>a)</h3>
CD/CA = DE/AB
h/8 = 13/17
h = 8(13/17) = 6 2/17
__
<h3>b)</h3>
EC/BC = DE/AB
(8+k)/15 = 13/17
8 +k = 15(13/17)
k = 11 8/17 -8 = 3 8/17
