Answer:
According to the passage, we have the next equation:
where "K" is a proportional constant
Leaving at the end with the next equation:
Integrating the equation, we have:
where "C" is a constant
Then, we have the 2 conditions for the problem:
1) t=0 → r=10
Replacing in the equation, we have C = 10
2) t=5 → r=8
Replacing in the equation, we have K = -0.4
Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation
t = 25 minutes
Answer:
rrnnrnnrnrnrehjrhhrhrhreebbh5hjhj4hjhjehjhj
Step-by-step explanation:
The amount of RENT forgot to write is $ 50.
<h3>
What is Transaction?</h3>
A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.
Here, Total expected amount = $ 900
Actual amount = $ 750
Deposit forgot = $ 100
Amount of RENT = 900 - (750 + 100)
= 900 - 850
= $ 50
Thus, The amount of RENT forgot to write is $ 50.
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The standard form of a quadratic function is y = 3/2x² + 17/2x - 7
<h3>How to determine the
quadratic equation?</h3>
From the question, the points on the quadratic equation are given as
(2,4), (3,5) and (4,3)
The standard form of a quadratic equation is represented as
y = ax² + bx + c
So, we have
Point (2,4):
4a + 2b + c = 4
Point (3,5):
9a + 3b + c = 5
Point (4,3):
16a + 4b + c = 3
Solving using an online calculator. we have
a = 3/2, b = 17/2 and c = -7
Substitute a = 3/2, b = 17/2 and c = -7 in y = ax² + bx + c
y = 3/2x² + 17/2x - 7
Hence, the equation is y = 3/2x² + 17/2x - 7
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