Answer:
Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:
On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:
List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:
Answer:
t = 74 / 9
Step-by-step explanation:
-9(t - 2) = 4(1 - 15)
-9t + 18 = 4 - 60
-9t + 18 = -56
-18 -18
-9t = -74
/-9 /-9
t = 74 / 9
t = 8.22
Answer:
26 yards = 78 ft square
78 × 78 = 6084 foot of surface area
Step-by-step explanation:
I think this is correct. Multiply 26y× 3 ft = (78)^2
Answer:
Step-by-step explanation:
z=5x-11y
+11y on both sides
z+11y=x
divide by 5 on both sides
<h2>
</h2>
Answer:
The Pacific seahorse eats 8 shrimp per day
Step-by-step explanation:
<u><em>The complete question is</em></u>
As a part of its diet, a Pacific seahorse eats about 56 shrimp per week. It eats the same amount each day.
a) How much shrimp does the Pacific seahorse eat per day?
Complete the statement with the unit rate.
The Pacific seahorse eats _____ shrimp per day.
Part a) How much shrimp does the Pacific seahorse eat per day?
Let
x ---> the number of shrimp that the Pacific seahorse eats per day
we know that
The number of shrimp that the Pacific seahorse eats per day, multiplied by the number of days in a week, must be equal to 56 shrimp
so
The linear equation that represent this situation is equal to
solve for x
Divide by 7 both sides
therefore
The Pacific seahorse eats 8 shrimp per day