Answer:
See below
Step-by-step explanation:
Part A
<em><u>Formula</u></em>
M = 2/3 * log(E/Eo)
<em><u>Givens</u></em>
M = ??
E = 2 * 10^15 joules
Eo = 10^4.4
<em><u>Solution</u></em>
M = (2/3) * log(2 * 10^15 / 10^4.4)
M = (2/3 ) log (7.96 * 10 ^ 11)
M = (2/3) * 11.901
M = 7.934
Part B
What the question is saying is that E/Eo = 10000
You don't have to figure out exact values.
M = 2/3 * log(10000)
M = 2/3 * 4
M = 8/3 or 2 2/3 or 2.66667
If you have choices, please list them.
Solution:
<u>Note that:</u>
- Given inequality: 12p < 96
<u>Dividing both sides by 12:</u>
- 12p < 96
- => 12p/12 < 96/12
- => p < 8
Correct option is A.
<u />
Answer:
11/4 seconds
Step-by-step explanation:
We can see from the given equation that the height at the diving board is h = 3.
This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.
To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.
h(t) = 3
h(t) = -4t^2 + 11t + 3 = 3
-4t^2 + 11t + 3 - 3 = 0
-4t^2 + 11t = 0
t*(-4t + 11) = 0
so h(t) = 3 when t = 0 and when t = 11/4 sec
we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.
the diver is back at the height of the diving board at t = 11/4 sec
Answer: the IQR is 3.5
Step-by-step explanation: