Answer: The volume is 480 in^3
Step-by-step explanation:
v= lwh
v= 12 * 5 * 8
v= 480 in^3
Answer:
A) The maximum error in the calculated surface area: 
Relative error: 
B) The maximum error in the calculated volume: 
Relative error: 
Step-by-step explanation:
A) The formula for the surface area is:

The measured value is the circumference which is equal to:

then the radius is:

Substituting in the formula of the surface:

Using the formula to calculate the error:

Where
is the variable measured and
is a function of
(
).

We have C=80cm and dC=0.5cm

The relative error is the maximum error divide by the total area. The total area is: 

B) The formula for the volume is:

Using 

The maximum error is:

The calculated volume is:

The relative error is:

Greetings!
Solve for d.

Distribute the Parenthesis.



Reduce.

Add
-2/3 to both sides.

Simplify.


Add
-1/4d to both sides.

Simplify.


Divide both sides by
-1/12.

Simplify.


Reduce.


Hope this helps.
-Benjamin
There is only solutions to the systems of equations - y = x -2 & y = -x + 2. We can find this by looking at the slopes of each line, which is 1 and -1. They are not negative reciprocals or the same exact slope, which would give the system of equations no solutions. Since the lines are not exactly the same, the system does not have infinitely many solutions. A system of LINEAR equations cannot have two solutions, giving us an answer of only one solution. Hope this helps!
F(x) = x^3 + 2x^2 - x - 2
<span>f(x) = x^2(x + 2) - (x + 2) </span>
<span>f(x) = (x^2 - 1)(x + 2) </span>
<span>f(x) = (x + 1)(x - 1)(x + 2) </span>
<span>Roots: -1, 1, -2 </span>