Answer:
At 1.5 seconds and 2.5 seconds
Step-by-step explanation:
Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.
Set that equal to 0 and factor to solve for t:
Using the quadratic formula, we get t = 1.5 and t = 2.5
Answer: It is proportional because 195/3 equals 65 and 325/5 equals 65 as well, so it is proportional.
Hope this helps! :)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x≤−3
Interval Notation: ( − ∞ , − 3 ]
Answer:
The number of possible combinations is 180
Step-by-step explanation:
The numbers to select from are 3-8
These are 6 numbers
Now, the restriction we have is that the 3 characters cannot be the same
For the first character, we have 6 choices;
For the second character, we have another 6 choices
For the last character, since it cannot be the same, we can only have 5 choices
So the possible number of choices will be;
6 * 6 * 5 = 189 combinations
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
