9514 1404 393
Answer:
48 ft
Step-by-step explanation:
For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.
t = -48/(2(-16)) = 1.5
Then the maximum height is ...
f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12
f(1.5) = 48
The maximum height the object will reach is 48 feet.
Answer:
The probability that Alice wins the game=
Step-by-step explanation:
We are given that Alice and Bob are playing a game .
We have to find the probability that Alice wins the game .
If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.
Total results in a coin=Head, tail=2
Number of head in a coin=1
Number of tail in a coin= 1
Probability is defined as the possibility of an event that occurred

The probability that Alice wins the game=
The probability that Alice wins the game=
The probability that Alice wins the game=
Answer:
Square Root of 162 ~ 12.727
Step-by-step explanation:
Simply do the Pythagorean Theorem!
a^2 + b^2 = c^2
This case we're solving for the long side which is the hypothenuse.
9^2+9^2= c^
81+81=c^
162=c^
Square root of 162
Which is 12.727
Answer:
c = -2
Step-by-step explanation:
-5c - 10 - 5c - 2 = 8
-10c - 12 = 8
+12 +12
-10c = 20
/ -10 / -10
c = -2
Answer:
As a percent: 115%
As a decimal: 1.15
As a fraction: 
Step-by-step explanation:
<u>Percentages</u>
Suppose Michael spends some amount of money on food, and that money is set at 100%. He leaves a 15% tip for the waitress.
Thus, he is really paying 100%+15% = 115% of the original price.
To express a percentage as a decimal, we just divide by 100:
115% = 115/100 = 1.15
The same division should be simplified instead of operated to express the percentage as a fraction:
115% = 
Simplifying by 5:
115% = 
Summarizing:
As a percent: 115%
As a decimal: 1.15
As a fraction: 