Why?
The liters of milk remaining in the tank after leaking for t weeks is represented by an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent.
The function that represents the liters of milk remaining in the tank after leaking for t weeks is an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent. In this case, the liters of milk lost each week is constant, so the amount of milk remaining in the tank is decreasing exponentially over time.
Formula for exponential decay: M = P * (1 - r)^t, where M is the amount of milk remaining, P is the initial amount of milk, r is the rate of decay, and t is the number of weeks.
In this case, the initial amount of milk, P, is 600 liters and the rate of decay, r, is 60/600 = 0.1 (10%). So the exponential function that represents the liters of milk remaining after t weeks is M = 600 * (1 - 0.1)^t.
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2. (x +4) • 9
3. y + 7 + 8 – 7(x -8)
4. (4 – 5) + x(6 – 8)
5. y(4 – 8) – 3y
6. x + 8y – 16x(1- 3)
7. 82 – x(4 – 8) + √25
8. 53 – 4(y – 7y) - √81
9. x2 – 4 – 5y - √36 • √144 + 23(x – 5x)
Directions: For problems 10-14 solve the following expressions by substituting these values: x = 2, y = 3.
10. y(4 – 8) – 3y
11. x + 8y – 16x(1- 3)
12. 82 – x(4 – 8) + √25
13. 53 – 4(y – 7y) - √81
14. x2 – 4 – 5y - √36 • √144 + 23(x –5x)
Answer:
Step-by-step explanation:hutcryketkdrfyhgjbnm