Answer:
Candice ran 1/6 of a lap further than Chris.
Step-by-step explanation:
we know that
To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs
so

therefore
Candice ran 1/6 of a lap further than Chris.
Answer:
80
Step-by-step explanation:
10 divided by 1/8 is equal to 10 times 8
(its called recipical)
Answer:
The value of x that gives the maximum transmission is 1/√e ≅0.607
Step-by-step explanation:
Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.

We need to equalize f' to 0
- k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
- 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
- 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
- ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
- 1/x = e^(1/2)
- x = 1/e^(1/2) = 1/√e ≅ 0.607
Thus, the value of x that gives the maximum transmission is 1/√e.
Answer:
4(b-6)+19
4(b) +4(-6) +19 distributive property
4b-24+19 combine like terms
4b-5
8/5
We have to just divide.
Here 1 is the quotient while 3 is the remainder when 8 is divided by 5.
So, 8/5 is also equal to 1 3/5.
Hope This Helps You!