Answer:
The temp got colder by -1
Step-by-step explanation:
The difference of -3 to -4
-4 + -3 = -1
Answer:
B) 1
Step-by-step explanation:
Given:
We need to solve the given expression.
Now We know that when base of the exponents then the law of indices applied for the same.
Now According to Law of Indices.
On Solving the above expression we get;
Hence The Simplified form of given expression is 1.
Answer:
Step-by-step explanation:
Volume of tank is 3000L.
Mass of salt is 15kg
Input rate of water is 30L/min
dV/dt=30L/min
Let y(t) be the amount of salt at any time
Then,
dy/dt = input rate - output rate.
The input rate is zero since only water is added and not salt solution
Now, output rate.
Concentrate on of the salt in the tank at any time (t) is given as
Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000
dy/dt= dV/dt × dM/dV
dy/dt=30×y/3000
dy/dt=y/100
Applying variable separation to solve the ODE
1/y dy=0.01dt
Integrate both side
∫ 1/y dy = ∫ 0.01dt
In(y)= 0.01t + A, .A is constant
Take exponential of both side
y=exp(0.01t+A)
y=exp(0.01t)exp(A)
exp(A) is another constant let say C
y(t)=Cexp(0.01t)
The initial condition given
At t=0 y=15kg
15=Cexp(0)
Therefore, C=15
Then, the solution becomes
y(t) = 15exp(0.01t)
At any time that is the mass.
Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
Answer:
-0.55n - 0.05
Step-by-step explanation:
You can start by distributing:
(0.25n - 0.3) - (0.8n - 0.25)
0.25n - 0.3 - 0.8n + 0.25
Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)
-0.55n - 0.05
