Answer:
The rate at which water leaking is
gal/min.
Step-by-step explanation:
Given:
A large container holds 8 gallons of water.
After 56 minutes the container only has 1 gallon of water left.
Now, to find at what rate is the water leaking.
So, water leaked from the container = 8 gallons - 1 gallon = 7 gallons.
Time taken for leakage = 56 minutes.
<em>Now, to get the rate:</em>



The rate =
gal/min.
Therefore, the rate at which water is leaking is
gal/min.
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:
The integer is -16
Step-by-step explanation:
The first scuba diver is 23 feet below sea level. THe second is 7 feet closer.
23 - 7 = 16. He is still under sea level, so it would be -16
we have that
*-------------------------*--------------------------------*
E F G
EF=2x-12
FG= 3x-15
EG=23
we know that
EF + FG = EG
so
[2x - 12] + [3x - 15] = 23 simplify
5x - 27 = 23 add 27 to both sides
5x = 50 divide both sides by 5
x = 10
EF=2x-12-------> EF=2*10-12-------> EF=8
FG= 3x-15------> FG=3*10-15------> FG=15
therefore
the answer part a) is
the value of x is 10
the answer part b) is
the value of EF is 8
the answer part c) is
the value of FG is 15
Answer:
x = 7
Step-by-step explanation:
Start by solving for
which is a common expression for both equations. Then in the first equation:

and in the second equation:

Now we make the two
expressions equal so we get:
