Answer:
13.95
Step-by-step explanation:
Complete Question:
Alejandro jumped from a cliff into the ocean in Acapulco while vacationing with some friends.
Where t is the time in seconds and h is the height in feet
(a) How long did it take for Alejandro to reach his maximum height
(b) What was the highest point Alejandro reached
(c) Alejandro hits the water after how many seconds
Answer:
(a) 0.5 seconds
(b) 484 feet
(c) 6 seconds
Step-by-step explanation:
Given
Solving (a): Time to reach maximum height
This is the maximum of the function and it is calculated using:
Where
So:
Solving (b): Highest point reached
Time to reach the highest point is 0.5.
So, the highest point is: h(0.5)
Solving (c): Time he hits water.
At this point, h(t) = 0
So;
Factorize
Divide both sides by -16
Expand
Factorize
Time can't be negative.
So:
<h2>
Answer:</h2>
True
<h2>
Step-by-step explanation:</h2>
A counterexample is a special type of example that is an exception to a general rule, law, proposition or statement. Hence if we prove that then this is a counterexample for the expression . Thus:
So we observe that the equation is not fulfilled because . In conclusion:
<u><em>A counterexample for the expression sin(x)+cos(x)=1 is 45° </em></u><u><em>is true!</em></u>
There are 10,000 total four-digit numbers (1000 through 9999).
Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.
Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.
There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.
Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.