Answer:
25
Step-by-step explanation:
Since y varies inversely with x, the relation between y and x will be:
Introducing the proportionality constant, we can write:
Using the first set of given values of x and y, we get:
This means, the relation between y and x is:
We have to find y if x = 20. Using this value in above equation, we get:
Thus y would be 25 if x is 20.
Step-by-step explanation:
ln(n) is smaller than n for all n ≥ 1.
Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.
1 / n³ converges (p series test). Therefore, the smaller function ln(n) / n⁴ also converges.
I guess that <em>d</em> is the distance you can see? Since they don't mention it in the question.
30.65 = (5/6)√h ← Divide both sides by 5/6, or multiply by 6/5
(6/5)30.65 = √h
36.78 = √h ← Square both sides to get h
h = 1352.76 or D
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer:
0 of a polynomial is that point where the graph cuts the x axis so the answer is
<h2>-2</h2>
