Answer:
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Step-by-step explanation:
Given the data in the question;
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?
dA/dt = rate in - rate out
first we determine the rate in and rate out;
rate in = 3pound/gallon × 5gallons/min = 15 pound/min
rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min
= 0.005A pounds/min
so we substitute
dA/dt = rate in - rate out
dA/dt = 15 - 0.005A
Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Plan 1 because she spends 435.88 more if she goes with plan 2
Answer:
36%
Step-by-step explanation:
the <em>complement </em>of it raining on at least one of these days = it not raining on any day
this means that if it does not rain on at least one day, it does not rain on any day
thus,
1 - probability of it not raining at all = probability it rains at least one day
probability it doesn't rain on monday = 1- 20% = 80%
probability it doesn't rain on tuesday = 1 - 20% = 80%
probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all
P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64
1 - 0.64 = 0.36 as our answer
Answer:
The probability is 1/3
Step-by-step explanation:
There are 6 faces on a die and you are given two faces to possibly land on. 2/6 can be reduced to 1/3