Is the ordered pair left parenthesis 4 comma negative 1 right parenthesis(4,−1) a solution of the following system of equations
1 answer:
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Remember that an exponent means repeated multiplication.
The exponent of 4 means you have four 's mutiplied together:
And then each exponent of 2 inside means you have two 's multiplied inside each set of parentheses.:
There are 8 b's there when you expand this out.
General Idea:
The volume of cylinder is given by , where r is the radius and h is the height of the cylinder.
Applying the concept:
Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.
Volume of full cylinder
Volume of half cylinder
Step 2: Let x be the number of minutes of filling the sand.
of sand filled every 15 seconds, there are four 15 seconds in a minute.
So volume of sand filled in 1 minute.
of sand taken out of cylindrical vase every minute.
Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute
Net volume of sand filled in 1 minute
Volume of sand filled in x minutes .
We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.
Conclusion:
The number of minutes required for the base be half filled with sand is 57