Answer:
dV(t)/dt = kV(t)
Step-by-step explanation:
The annual change in the car's value, represented by dV(t)/dt, has a proportional relationship with V(t), the car's current value.
dV(t)/dt ∝ V(t)
dV(t)/dt = kV(t)
Answer:
45 mph
Step-by-step explanation:
Calculate the unit rate (i.e., speed):
6 mi 60 min
--------- * ------------- = (3/4)(60) mph = 45 mph
8 min 1 hr
Let's define c as the total expense for attending the carnival and t as the number of tickets bought. We determine that the function's domain spans the interval [0,∞) since ticket purchases cannot be negative. The function's range is [10,∞) because the total cost cannot fall below zero. Refer to the attached graph tool for illustration, where the answer is represented.
To solve this problem, I would add 7 to obtain...
... 2x² = 16
Next, I would divide by 2 to yield
... x² = 8
I would then take the square root, noting that both positive and negative solutions exist.
... x = ±√8
This root can be simplified to give...
... x = ±2√2
_____
This method appeared to be the most straightforward to me. Although one could apply the quadratic formula, that entails more steps.
... 2x² -16 = 0.... continuing by subtracting 9
... x = (-0 ± √(0² -4·2·(-16)))/(2·2).... inserting the coefficients into the formula
... x = ±(√128)/4 = ±√8 = ±2√2..... simplifying the final expression
This scenario involves combinations.
To find the total number of 2-item combinations, calculate (1000 choose 2)
The count for 2-defective combinations is (300 choose 2)
The probability =
