B. $33,175.00
C. $35,140.00
D. $35,162.50
b. 30
c. 43
d. 120
Answer:
Option b is correct
30 is the average rate of change of f(x) over the interval [1, 5]
Step-by-step explanation:
Average rate of change (A(x)) of f(x) over interval [a, b] is given by:
....[1]
As per the statement:
Given the function:
We have to find the average rate of change of f(x) over the interval [1, 5].
At x = 1
then;
At x= 5
then;
Substitute these given values in [1] we have;
⇒
⇒
Therefore, the average rate of change of f(x) over the interval [1, 5] is, 30
Answer:
Its b.30
Step-by-step explanation:
Answer:
192 sponsors
Step-by-step explanation:
If Scott started by asking 3 friends to sponsor him, and each of those friends asked three friends to sponsor him on the second week, and this pattern continued for four weeks, you can calculate the total number of sponsors he would have on the 4th week as follows:
Week 1: Scott has 3 sponsors.
Week 2: Each of the 3 sponsors from Week 1 asks 3 friends, so there are 3 x 3 = 9 new sponsors. In total, there are 3 (from Week 1) + 9 (from Week 2) = 12 sponsors.
Week 3: Each of the 12 sponsors from Week 2 asks 3 friends, so there are 12 x 3 = 36 new sponsors. In total, there are 12 (from Week 2) + 36 (from Week 3) = 48 sponsors.
Week 4: Each of the 48 sponsors from Week 3 asks 3 friends, so there are 48 x 3 = 144 new sponsors. In total, there are 48 (from Week 3) + 144 (from Week 4) = 192 sponsors.
So, on the 4th week, Scott would have a total of 192 sponsors.
The probability of selecting a number, from the set {1,2,3,4,5,6,7,8,9,10}, that does not have the digit '1' on it, is 9 out of 10, or 9/10. Each selection is an independent event.
The subject of this question is Probability, a branch of Mathematics. Given the numbers 1,2,3,4,5,6,7,8,9,10, we have ten numbers in total, and only one of these numbers (1) is what we're trying to avoid. Hence, the probability of choosing a number that does not have the digit 1 on it is 9 (total numbers) - 1 (digit 1) divided by 10 total numbers, giving us a final answer of 9/10.
Probability can be represented as a fraction, where the numerator represents the favorable outcomes and the denominator represents the total number of outcomes.
Choosing each individual number is an independent event, meaning the outcome of each selection does not affect the probability of the subsequent selection.
#SPJ12
The expression (1/2)[x+10] represents the one half of the sum of a number and 10.
It is defined as the combination of constants and variables with mathematical operators.
We have:
One half of the sum of a number and 10
Let's suppose the number is x:
So from the problem, the one half of the sum of a number and 10 is:
The above expression represents the one half of the sum of a number and 10.
Thus, the expression (1/2)[x+10] represents the one half of the sum of a number and 10.
Learn more about the expression here:
#SPJ2
One half of the sum of a number and 10
n - a number