The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π
1 answer:
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Answer:
Rational number as denominator is not equal to zero and numerator is a integer.
The potential solutions of are 2 and -8.
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -
- Quotient Rule for Logarithms -
- Power Rule for Logarithms -
The exercise asks the potential solutions for . In this expression you can apply the Product Rule for Logarithms.
Now you should solve the quadratic equation.
Δ=. Thus, x will be
. Then:
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
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Answer:
$11,500
Step-by-step explanation:
This is a problem of optimization, therefore we have to identify the constraints and the objective function. First, we are gonna name the variables of the problem as follows:
: quarts of orange juice produced
: quarts of orange concentrate produced
The first and second constraints are related with the demand, both quantities of orange juice and concentrate must be greater or equal than the given values for demand:
The third constraint is related with the oranges required, as the company anticipates using at least 260000 oranges for these products, the sum of the oranges used to produce both products must be greater or equal than this value:
And finally the objective function is the equation to determine the costs:
We look for minimizing this last function, therefore we use the Solver tool in an Excel spreadsheet (file attached), and we add the constraints explained above. Finally we get:
$11,500