Based on the capacity of the container and the capacity currently being used, the amount of water in the container is <u>3/8 gallons. </u>
The container is capable of holding 1/2 gallons of water.
If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:
<em>= Capacity of container x Percentage full </em>
= 1/2 x 3/4
= 3/8 gallons of water
In conclusion, the container is currently holding 3/8 gallons of water.
<em>Find out more about this at brainly.com/question/11459708. </em>
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is
(x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
(x¹³)
<h3>What is an exponent?</h3>
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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In short, for a vertical parabola, namely one whose independent variable is on the x-axis, usually is x², if the leading term coefficient is negative, the parabola opens downward, and its peak or vertex is at a maximum, check the picture below at the left-hand-side.
and when the leading term coefficient is positive, the parabola opens upwards, with a minimum, check the picture below at the right-hand-side.