Answer:
The weight of the block of ice after 1 day is of 4.81 pounds.
Step-by-step explanation:
Equation for exponential decay:
The equation that models an amount after t hours, subject to exponential decay, is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A 10-pound block of ice melts at a rate of 3% per hour.
This means that 
So
Find the weight of the block of ice after 1 day.
One day has 24 hours, so this is A(24).
The weight of the block of ice after 1 day is of 4.81 pounds.
The probability of you being the leadoff hitter is <span>8.3%.</span>
Explanation:
The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.
Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600
The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800
The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters
</span> = 6652800 / 79833600
= 1 / 12
= 0.08333
= 8.3%
Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.
Answer:
x² - 12x + 27
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x² - 13x + 36 + x - 9 ← collect like terms
= x² - 12x + 27 ← in standard form
Answer:
X=15
Step-by-step explanation:
Answer:
<h2><u><em>
9/40</em></u></h2>
Step-by-step explanation:
Carol ate 2/5 of the cake; Dima ate 3/8 of the remaining cake, mom ate the rest. What fraction of the whole cake did mom eat?
1 - (2/5 + 3/8) =
1 - 31/40 =
9/40
-----------------
check
9/40 + 2/5 + 3/8 = 1
the answer is good
