Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer:
3,000 words
Step-by-step explanation:
we know that
Emilio cay type 850 words in 17 minutes
Remember that
so
using proportion
Find out how many words can Emilio type in 60 minutes (one hour)
Let
x ---> the number of words
Answer:
A. g=11
Step-by-step explanation:
We want to find which choice makes the equation true. Let's plug in each answer choice.
A. g=11
26=7(11-9)+12
26= 7(2)+12 Solve inside the parentheses.
26= 14+12 Multiply 7 and 2.
26= 26 Add 14 and 12.
This answer must be correct, but let's check the other choices .
B. g=12
26=7(12-9)+12
26= 7(3)+12 Solve inside the parentheses.
26= 21+12 Multiply 7 and 3.
26≠33 Add 14 and 12.
This choice is not correct.
C. g= 13
26=7(13-9)+12
26= 7(4)+12 Solve inside the parentheses.
26= 28+12 Multiply 7 and 4.
26≠40 Add 28 and 12.
This is also not correct.
D. g= 14
26=7(14-9)+12
26= 7(5)+12 Solve inside the parentheses.
26= 35+12 Multiply 7 and 5.
26≠47 Add 35 and 12.
This choice is not correct either.
The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.
Answer: 52:3
Step-by-step explanation:
260 divided by 5 = 52
15 divided by 5 = 3
260:15 = 52:3
