Answer:
To hit the ground, it will take the watch:
Step-by-step explanation:
Making use of the provided equation:
- <u>h (t) = - 16t ^ 2 + initial height
</u>
Which can be modified specifically for this case:
- <u>h (t) = - 16t ^ 2 + 6400 feet.
</u>
Time must be replaced a certain number of times until the value is zero, this can be done one by one, but since it would be too many iterations I will show you some examples and what you could deduce in each case.
<em>With t = 1 second:
</em>
- h (1) = - 16 (1) ^ 2 + 6400 feet = 6384 feet (only the watch has dropped 16 feet)
<em>With t = 7 seconds:
</em>
- h (7) = - 16 (7) ^ 2 + 6400 feet = 5616 feet (has fallen 784 feet)
<em>With h = 15 seconds:
</em>
- h (15) = - 16 (15) ^ 2 + 6400 ft = 2800 feet (3600 ft has fallen, it is not long)
<em>With h = 21 seconds:
</em>
- h (21) = - 16 (21) ^ 2 + 6400 feet = -656 feet (When obtaining a negative number, it is understood that the time was too long, therefore a shorter time must be taken)
<em>With h = 20 seconds:
</em>
- <u>h (20) = - 16 (20) ^ 2 + 6400 feet = 0 feet
</u>
<u>Since with 20 seconds the exact value of zero is obtained, this time is the exact time it would take the watch to fall to the ground</u>, since when this time is reached the height (h) will be zero, that is, at ground level .
We are given here that a blackjack hand consists of:
1 of the 4 aces = 4 / 52
1 of the 16 cards worth 10 points (10, jack, queen, king)
= 16 / 52
So assuming that cards are dealt without replacement,
therefore the probability of getting a blackjack hand is:
<span>P = 1st is ace * 2nd is 10 pt card +
1st is 10 pt card * 2nd is ace</span>
P = (4 / 52) * (16 / 51) + (16 / 52) * (4 / 51)
P = 0.04827 = 4.83%
Therefore there is a 4.83% probability to get a blackjack
hand.
<span> </span>
Answer:
X= 
Step-by-step explanation:
To get 2 to 5, you multiply 2 by 2.5. do the same to 2/3 to get your answer. 2/3 times 2.5 = 2/3 times 5/2 equals 10/6 or 5/3 cups of sugar (1 and 2/3 cups of sugar) i believe
The b value refers to the coefficient in front of the 2nd term, which is -8 in this case:
