The price of your favorite brand of jeans is $35 last month. This month the price is $42. What is the percent of change from las
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Answer:
<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>Step-by-step explanation:
We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as: .
So, if we apply this consideration to each case we have:
Using cold and hot water:
Using only cold water:
Using only hot water: ; because we don't knot the time it takes to fill the bathtub with hot water.
Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:
Solving the equation for <em>x: </em>
Therefore, it takes 36 minutes to fill the bathtub using just hot water.
<u>Given</u>:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
<u>Constant of proportionality:</u>
The constant of proportionality can be determined using the formula,
Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;
Thus, the constant of proportionality is 10 meters per second squared.
Answer:
The range stays the same.
The domain stays the same.
Step-by-step explanation:
The function is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.
The domain for this kind of functions is: All real numbers.
And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.
Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.