Answer:
16%
Step-by-step explanation:
Given
Required
The percentage of household with 2 people
First, calculate the total frequency
The frequency of household with 2 people is:
So, the percentage is calculated as:
(a)
<span>p'(25) = -1.179 millions of cells per cubic meter per meter.
The density of plankton cells in millions of cells per cubic meter is
decreasing at a rate of </span><span>1.179 millions of cells per cubic meter per meter.
____________
(b)
The volume is 3·dh, where dh is an infinitesimally small height.
Therefore, the amount of plankton is density * volume.
______
</span>
(c)
The total plankton cells are given by
As 0 ≤ f(h) ≤ u(h) for all h ≥ 0 (f and u are nonnegative), then:
Since ultimately
, that integral can have at most 105. Therefore, the maximum total amount is
____________
(d)
Answer:
85 square units
Step-by-step explanation:
The area of a kite is half of the product of the diagonals.
The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.
Now we need to find the length of the vertical diagonal.
The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.
Upper vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = [5sqrt(2)]^2
25 + x^2 = 50
x^2 = 25
x = 5
The upper segment of the vertical diagonal has length 5.
Lower vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = 12
The lower segment of the vertical diagonal has length 12.
The length of the vertical diagonal is the sum of the lengths of the two vertical segments:
5 + 12 = 17
The diagonals of the kite measure 1`0 and 17.
area = d1 * d2/2
area = 10 * 17/2 = 170/2 = 85
Answer:
35.228
Step-by-step explanation:
It's 369.6
(840X44)/100 = 369.6