Answer:
When both computers collaborate, the task will be completed in 24 minutes
Step-by-step explanation:
Given the following conditions:
There are two computers; the slower model can send all company emails in 60 minutes.
The faster unit manages to perform the same task in 40 minutes
To determine the LCM of 40 and 60
LCM (40, 60) = 120
To evaluate the efficiency of both computers
Let x represent the efficiency of the faster model and y stand for the efficiency of the slower model
x = 120/40 = 3
y = 120/60 = 2
Hence, adding them gives x + y = 3 + 2 = 5
Consequently, the combined efficiency of both computers working in tandem = x + y = 5
To calculate the time required for both to finish the job together
time = 120/5 = 24 minutes
To determine the inverse of f(x)=2x+5, first express it without using f(x). Set y = 2x + 5, then exchange x and y and solve for y. Subtract 5 from both sides to get x - 5 = 2y, and divide through by 2 to find y = (x-5)/2. Therefore, f-1(x) is (x-5)/2. To find f-1(8), substitute 8 for x, resulting in (8-5)/2 = 3/2.
Detailed derivation:
dA/dt = 6 - 0.02A
dA/dt = -0.02 (A - 300)
Rearranging terms.
dA / (A - 300) = -0.02 dt
Integrate both sides.
ln(A - 300) = -0.02t + C
Isolate A.
A - 300 = Ce^(-0.02t)
A = 300 + Ce^(-0.02t)
Apply initial condition to determine C.
50 = 300 + Ce^(-0.02 × 10)
50 = 300 + Ce^(-0.2)
-250 = Ce^(-0.2)
C = -250e^(0.2)
A = 300 - 250e^(0.2)e^(-0.02t)
A = 300 - 250e^(0.2 - 0.02t)
Answer:
The mouse's total distance over the course of 3 hours amounts to 
of a mile
. The same distance was covered by the mouse each hour. Therefore, to ascertain the distance traveled within a single hour, we need to split the total distance of 3 hours by 3. This yields the distance the mouse managed in one hour.
Thus, the distance covered during one hour becomes = 
of a mile
. The mistake made by Matt was that he only adjusted the denominator of the expression by dividing it by 3, which likely led to a miscalculation.
The accurate assessment is: The mouse covers 1/24 of a mile every hour
Answer:
cuando hables de raviolis de queso, dile a Martha que vaya al supermercado a comprar raviolis Chef Boyardee.
