Let
x-------> the width of the rectangular area
y------> the length of the rectangular area
we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2
substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
the length of the rectangular area is at most 45 ft
see the attached figure
the solution is<span> the shaded area</span>
The limit of the function <span>( sin3x sin5x ) / x^2 as x approaches zero is evaulated by substituting the function by zero. Since the answer is zero / zero which is indeterminate. Using L'hopitals rule, we derive separately the numerator and the denominator. we all know that sin 5x and sin 3x are equal to zero. Upon teh first derivative, the answer is still zero / zero. We derive further until the function has a denominator of 2 and a numerator still equal to zero. Since the answer is now zero/ 2 or zero not zero/zero, the limit then is equal to zero.</span>
Answer:
Odds for male= 1.538
Odds for female = 0.65
Step-by-step explanation:
The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9
In this case, the odds of selecting a male will be:
number of male : number of female= 20:13 = 1.538
The odds of selecting a female will be
number of female : number of male = 13/20 = 0.65
Answer:
<h2>The answer is .... <u><em>
x = 3/2</em></u><em>
</em>
and if you want to write it as a mixed fraction i will be x= <u><em>
1 and 1/2</em></u></h2>
Step-by-step explanation:
Hope this Helped :)
a. By the fundamental theorem of calculus, the velocity function is
The particle starts at rest, so 
, and we have
Then the position function is
with 
, so
b. The particle is at rest whenever 
; this happens for
where 
is any integer.
