For this item, we represent first the proportionality constant by the variable k. Being directly proportional to both b and c, these variable will be in numerator and d will be in the denominator. That is,
a = kbc / d
Substituting the known values,
400 = k(16)(5) / (2)
The value of k is 10. The equation that models the relationship is therefore,
a = 10bc/d
Using The Almighty Formula (attached)
Note the symbol ^ is used to denote a raise to power
Where from the equation given x^2-5x-7
With a,b,c coefficients
a=1 b=-5 c=-7
From the Almighty Formula
√b^2-4ac=√(-5)^2-4(-7)=√53
Substituting in the Almighty Formula
-(-5) ±√53/2(1)= 5±√53/2
x=5+√53/2 and x=5-√53/2
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
Answer:
a) cluster sampling
Step-by-step explanation:
In cluster sampling method, each member of a population is assigned to one and only one group.This means clusters are formed through probability method usually a simple random sampling.The participants in the clusters are the only one to be surveyed.
In this example, simple random sampling is used to identify 12 home rooms(cluster) where a group of 20 students (participants) in each room is given the survey.
The parameter of a rectangle can be alculated using the following rule:
parameter = 2(length + width)
from the givens:
length = 13 inches
width = 10 inches
so, just substitute with the givens in the equation to calculate the parameter:
parameter = 2(10+13) = 2*23 = 46 inches
