Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 38
d = 32 - 38 = - 6 or 20 - 26 = - 6
Substitute the values into the above formula
A(n) = 38 + (n - 1)-6
= 38 - 6n + 6
We have the final answer as
<h3>A(n) = 44 - 6n</h3>
Hope this helps you
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
7 everytime you look at it the answer disappears merry Christmas everyone
Answer:
9/40
Step-by-step explanation:
The probability of event A happening, then event B, is the probability of event A happening times the probability of event B happening given that event A already happened.
In this case, event A is the Captain missing the pirate ship and event B is the pirate hitting the Captain's ship.
The Captain fires first, so her ship can't be sunk before she fires her cannons.
So, the probability of the Captain missing the pirate ship is
3/5
If the Captain missed the pirate ship, the pirate has a normal chance to fire back.
So, the probability of the pirate hitting the Captain's ship given the Captain missing the pirate ship is
3/8
The probability that the Captain misses the pirate ship, but the pirate hits is then the probability of the Captain missing the pirate ship times the probability of the pirate hitting the Captain's ship given the Captain missing the pirate ship.
this is 3/5 X 3/8 = 9/40