Determine if the following equation is an identity equation, a conditional equation, or an inconsistent equation. −4x−6x−23=−10−
1 answer:
The given equation is inconsistent equation.
Step-by-step explanation:
Lets define all three types of equations first
<u>Identity Equation:</u>
An equation is called identity equation when it is true for all values of variable involved.
<u>Conditional equation:</u>
Conditional equation is an equation which only true for some values.
<u>Inconsistent Equation:</u>
When the variable is unknown, the equation is called inconsistent equation.
The given equation is:
Solving the equation
In the given equation, the variable has become unknown so the given equation is an inconsistent equation
Keywords: Linear equation, variables
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Answer:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.
Step-by-step explanation:
The volume of the sphere (), measured in cubic feet, is represented by the following formula:
Where is the radius of the sphere, measured in feet.
The change in volume is obtained by means of definition of total difference:
The derivative of the volume as a function of radius is:
Then, the change in volume is expanded:
If and
, the change in the volume of the sphere is approximately:
The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.