The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3
The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.
The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.
The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L
The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L
Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L
Answer:
The sum of the first six terms is 38.39
Step-by-step explanation:
This is a geometric sequence since the common difference between each term is 
Thus, 
To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.
To find the fifth term:
The general form of geometric sequence is 
To find the fifth term, substitute
in 

To find the sixth term, substitute
in 

To find the sum of the first six terms:
The general formula to find Sn for
is 

Thus, the sum of first six terms is 38.39
Answer:
The answer is 17
Step-by-step explanation:

Answer:
16 - 9 = x
Step-by-step explanation:
The house is 7 years old right now.
<h3>What are word problems in algebraic equations?</h3>
Word problems leading to algebraic equations are real-life problems that can be interpreted and solved with the use of variables and arithmetic operations.
From the information given:
- Let us assume that the age of the house is (m)
Now, the amount paid on the mortgage is:
m + 21
This is equal to 4 times as old as it is now;
i.e.
m + 21 = 4m
m- 4m = -21
-3m = -21
m = -21/-3
m = 7
Therefore, we can conclude that the house is 7 years old.
Learn more about word problems in the algebraic equations here:
brainly.com/question/21405634
#SPJ1