Step-by-step explanation:
sqrt(-4) = sqrt(4×-1) = sqrt(4)×sqrt(-1) = 2i
Fraction=8/20 kids ate a grilled cheese at her restaurant in the last week. This simplifies to 2/5. Therefore the probability that a randomly selected child at her restaurant is eating a grilled cheese is 2/5.
Answer:
<h2><em>
30page essay/min</em></h2>
Step-by-step explanation:
Speed is the change in distance of a body with respect to time.
Speed = Distance/Time
If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs
To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).
If 3 page essay = 6secs
x page essay = 60 secs
cross multiply
3*60 = 6x
180 = 6x
x = 180/6
x = 30
<em>This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.</em>
Expand everything in the limit:
We have 
approaching 0, and in particular 
, so we can cancel a factor in the numerator and denominator:
Alternatively, if you already know about derivatives, consider the function 
, whose derivative is 
.
Using the limit definition, we have
which is exactly the original limit with 
. The derivative is 
, so the value of the limit is, again, -14.
Distributive
5d + 12 - 4d = 36
Combining like terms
d + 12 = 36
Solve
d = 24
