Answer:
4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
Suppose the number of bacteria are increasing exponentially, We can model the number of bacteria at a given time t, using the formula:
f(t)=ae(tk)
where, k=constant of proportionally and a=initial number;
thus;
f(t)=2000e(0.005t)
Therefore the population after 12 hours will be:
f(12)=2000e^(0.005*12)
f(12)=2,123.67=2,123 bacteria
ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph
I've already been complemented twice on my previous answer, but then I discovered that I mis-read the question. My entire original answer was wrong, and I have to delete it.
I don't believe that any number can satisfy both of those conditions.
I'll say the question has no answer.
Answer:
<u>Cost = 25 + 50h</u>
cost for 8 hours of work = $425
cost for 10 hours of work = $525
Step-by-step explanation:
The question is as following:
A plumber charges $25 for a service call plus $50 per hour of service write an equation to represent the cost of hiring this plumber.
what will be the cost for 8 hours of work? 10 hours of work?
=======================================================
A plumber charges $25 for a service call plus $50 per hour
<u>Cost = 25 + 50h</u>
Where h is the number of hours of service
8 hours of work: h = 8
Substitute with h = 8 at the equation of cost
<u>Cost = 25 + 50* 8 = $425</u>
10 hours of work: h = 10
Substitute with h = 10 at the equation of cost
<u>Cost = 25 + 50 * 10 = $525</u>
