Answer:
What picture?
Step-by-step explanation:
Answer:
I think it's 2.56
you convert the 8 percent to a decimal and then you times it to 3.20
3.20×.8=2.56 (it's wrong)
Answer: There are 33 dimes and 17 quarters in my pocket.
Step-by-step explanation:
Step 1: To assign and label the variables.
Suppose,
The number of dimes= x
The number of quarters= y
Step 2: To write the system of equations.
Equation related to the total coins:
x + y = 50 equation 1
Equation related to the total value of the coins:
0.10x + 0.25y = 9.95 equation 2
Step 3: To solve the system of equations.
Multiply equation 1 by 0.10 and then subtract it from equation 2 to eliminate the variable, x.
0.10x + 0.25y – (0.10x + 0.10y)= 9.95 – 5
0.15y = 4.95
y= 33
So, x=50 - 33= 17
Step 4: Therefore, there are 33 dimes and 17 quarters in my pocket.
Answer:
(B) ![\displaystyle \frac{W(3.1) - W(2.9)}{0.2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BW%283.1%29%20-%20W%282.9%29%7D%7B0.2%7D)
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:
![\displaystyle f'(x) = \frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D)
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)
![\displaystyle \lim_{t \to 3} W(t)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Clim_%7Bt%20%5Cto%203%7D%20W%28t%29)
- (B)
![\displaystyle \frac{W(3.1) - W(2.9)}{0.2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BW%283.1%29%20-%20W%282.9%29%7D%7B0.2%7D)
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
-2 and 6, because they add to make 4 and multiply to make -12