A baseball player went up to bat 250 times in a season. He hit the ball 100 times. Find the rate of balls hit to times at bat. E
1 answer:
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Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is . Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:
Therefore,
or just
and in terms of time,
Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt
Answer:
Both lines are equal (they are the same)
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Step-by-step explanation:
Given
Required
What is true about graph of both lines
<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check if both lines are either parallel or perpendicular</em>
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To do this,
The first thing to do is to calculate the slope of both lines
Add 8 to both sides
Divide both sided by 3
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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Divide both sides by 6
Simplify fractions to lowest term
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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By comparing the slope, x intercept and y intercept of both lines;
It'll be observed that they have the same slope, x intercept and y intercept
<em>This implies that both lines are equal; in other words, they are the same.</em>
Answer:
The answer is .
Step-by-step explanation:
This is because when you multiply them together you get
,
,
, and
When you add the like terms you get,