Answer:
80
Step-by-step explanation:
0, 3, 8, 15, 24, <u>35,</u> <u>48,</u> <u>63,</u> <u>80</u> which is the nth term
first step you have to find how many steps the sequence was going with.
examples= from 0 to 3 the steps were 3
=from 3 to 8 the steps were 5
= from 8 to 15 the steps were 7
you will recognize that the steps the sequence is going with is odd numbers.
so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.
Number 1.
, first we will take the
of both of these numbers getting us,
, which then gives us that 
Number 2
, solve for our exponent,
, use the logarithmic formula, and we get,
, which then we get that 
Answer:
186
Step-by-step explanation:
Your entire surface area is
216
the area of the rectangle on the bottom is 30
substract 30 from 216

so the value of the function at x=-3 is -192
Answer:
99.87% of cans have less than 362 grams of lemonade mix
Step-by-step explanation:
Let the the random variable X denote the amounts of lemonade mix in cans of lemonade mix . The X is normally distributed with a mean of 350 and a standard deviation of 4. We are required to determine the percent of cans that have less than 362 grams of lemonade mix;
We first determine the probability that the amounts of lemonade mix in a can is less than 362 grams;
Pr(X<362)
We calculate the z-score by standardizing the random variable X;
Pr(X<362) = 
This probability is equivalent to the area to the left of 3 in a standard normal curve. From the standard normal tables;
Pr(Z<3) = 0.9987
Therefore, 99.87% of cans have less than 362 grams of lemonade mix