The answer is 18 because it just is trust me
1. (x^2+1)*(x^3+2*x)*(x^2-64)
=(x^2+1)*x*(x^2+2)*(x+8)(x-8)
Solving for each factor in turn, for example,
x^2+1=0 => x^2=-1 => x=+i, x=-i
x=0 => x=0
x^2+2=0 => x^2=2 => x=+sqrt(2)i, -sqrt(2)i
x+8=0 => x=-8
x-8=0 => x=+8
we have solution set
S, whereS={+i, -i, 0, +sqrt(2)i, -sqrt(2)i, -8, +8)
2. A.
x^4-81=0 => x^4=81 => x^2=+9 or x^2=-9
x^2=+9 => x=+3, -3
x^2=-9 => x=+3i, -3i
S={+3i, -3i, +3, -3}
B.
x^4+10x^2+25=0 => (x^2+5)^2=0 => ± (x^2+5)=0 => x^2=-5
=> x=+sqrt(5)i (multiplicity 2 and x=-sqrt(5)i (multiplicity 2)
S={+sqrt(5)i (multiplicity 2) -sqrt(5)i (multiplicity 2)}
C.
x^4-x^2-6=0 => (x^2-3)(x^2+2)=0 => x^2=3 or x^2=-2
S={+sqrt(2)i,-sqrt(2)i, +sqrt(3), -sqrt(3) }
3.
x^4+3x^2-4=0 = (x^2-1)(x^2+4) => x^2=1 or x^2=-4
S={+2i, -2i, +1, -1}
Answer:
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Step-by-step explanation:
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Answer:
8 hours.
Step-by-step explanation:
The initial water level is 24.8 meters, and the rate of water level drop is 2 meters/ hour, that means after 
hours the water level 
will be
Now we want water level to be 8.8 meters, I.e 
, therefore, we have:
we solve the equation for :
it will take 8 hours for the water level to drop to 8.8 meters.
Answer:
The answer is -1.2
Step-by-step explanation:
Recalling the standard deviation formula,
we have : σ = sqrt[ P * ( 1 - P ) / n ]
Where sqrt = square root
n = Number of derivative
Therefore,:
if, H0: p is not 48% vs H1: p1 = 48%
standard deviation is:
σ = sqrt[ P * ( 1 - P ) / n ] = sqrt[ .48*.49/900 ] = .01666333+
z -score is (p-P)/σ
= (.51-.53)/.01666333
The answer therefore = -1.2
ICONCLUSION:
It can therefore be concluded that there is statistical evidence that the proportions are different. H0 accepted in the hypothesis.
