Answer:
60, if they all have the same age, 60 * 3 = 180.
The oldest one has to be aged 60 along with the youngest aged.
Answer:
(B)
General Formulas and Concepts:
<u>Calculus</u>
Limits
Derivatives
- The definition of a derivative is the slope of the tangent line.
Derivative Notation
Instantaneous Rates
- Tangent Line:
Step-by-step explanation:
Since we are trying to find a <em>rate</em> at which W(t) changes, we must find the <em>derivative</em> at <em>t</em> = 3.
We are given 2 close answer choices that would have the same <em>numerical</em> answer but different <em>meanings</em>:
- (A)
- (B)
If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the <em>rate</em> at which the volume would be changing and it is not a derivative.
If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a <em>derivative</em> at <em>t</em> = 3, and a derivative tells us what <em>rate</em> something is changing.
∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when <em>t</em> = 3.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
Answer:
1st box in justification is going to be subtraction property.
2nd box is multiplication property.
1 box in steps is going to be (2/3y)=-6
2nd box in steps (2/3y)*(3/2)=-6(3/2)
3rd box in steps y=-9
Step-by-step explanation:
you're basically trying to solve for y. trying to get it by it self.
if you want me to explain it further down, you can tell me.
and I hope that helped
Answer:
75.0%
Step-by-step explanation:
There are a total of 69+59 = 128 people in the group. Of those, 69 are men and 27 more are people (women) who earn more than $50,000. So the group (man or person earning more than $50,000) consists of 96 people.
The probability of selecting one of those 96 from the group of 128 is ...
96/128 = 3/4 = 75.0%
_____
In a problem such as this, where the group of interest consists of parts of overlapping groups, the trick is always to find the easiest way to determine the size of the group of interest. Since the group "men" includes "high-earning men" and "low-earning men" and the group "women" includes "high-earning women" and "low-earning women", we could go to the trouble to figure the numbers in each of those four groups. In the end, we want ...
man or high-earner = "low-earning man" + "high-earning man" + "high-earning woman"
As we saw above, the sum of the first two of these is just "men", so we can find the size of our group of interest by adding ...
= "men" + "high-earning women"