Answer:
<h2>11/26</h2>
Step-by-step explanation:
Since we have 13 heart card then
p(heart) = 13/52
Since we have 12 picture card then
p(picture) = 12/52
Since we have 3 heart and picture (at the same time) card then
p(heart∩picture) = 3/52
finally,
the possibility that you are dealt a heart or a picture card = p(heart or picture)
p(heart or picture) = 13/52 + 12/52 - 3/52 = 22/52
Answer: 
Step-by-step explanation:
Given
d(t) = 0.8t ^2
t= 5 secs
d(5) = 0.8(5)^2 = 0.8 * 25 = 20
t= 10 secs
d(10) = 0.8(10)^2 = 0.8 * 100 = 80
20 m / 5 secs = 4 meters per sec
80 m / 10 sec = 8 meters per sec
4 mps + 8 mps = 12 mps
12 mps / 2 = 6 mps
6 mps is the average speed of the rock between 5 and 10 sec after being dropped
Answer:
yes
Step-by-step explanation:
If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.
Answer:
D
Step-by-step explanation:
The average rate of change of a function over an interval a ≤ x ≤ b is found by:
Here, a is 0 and b is 3, so: 
Just plug in 3 for the first term and 0 for the second term in the numerator:
- First term: 
- Second term: 
So, the final answer is:
![\frac{[\frac{1}{2} (3^{3\frac{1}{2} })+3]-[\frac{1}{2} (3^{\frac{1}{2} })+3]}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B%5Cfrac%7B1%7D%7B2%7D%20%283%5E%7B3%5Cfrac%7B1%7D%7B2%7D%20%7D%29%2B3%5D-%5B%5Cfrac%7B1%7D%7B2%7D%20%283%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%29%2B3%5D%7D%7B3%7D)
Thus, the answer is D.
Hope this helps!
