Geometry - eh?
I think there's something missing here.
#1. assuming base 8, just for ease of readability, 2logx = log(4x+12) log(x^2) = log(4x+12) so, if the logs are equal, so are the numbers: x^2 = 4x+12 x^2-4x-12=0 (x-6)(x+2)=0 x=6 only, since log(-2) is not real. #2. so far, so good. Recall that adding/subtracting logs means m...
in an island ecosystem a beetle feeds on a shrubby plants -- a songbird preys on the beetle and the hawk preys on the songbird. which has the smallest population?
Both circles are tangent to the x-axis, at (2,0) and (8,0). The line joining their centers is inclined at an angle θ such that tanθ = (9-1)/(8-2) = 4/3 So, the two tangent lines meet at an angle 2θ. Thus, our slope m of the other line is tan2θ = (8/3)/(1-16...
math ergent help someone please
just ignore everything but the highest power in the numerator and denominator So, (3x^3-5x+2)/(2x^3+9x^2-100) looks like 3x^3/2x^2 = 3/2 for large x. Or, you can think of it like this. Divide top and bottom by the highest power. That gives you (3-5/x^2+2/x^3)/(2+9/x-100/x^3) F...
If there are n terms, the sum of the last five is a+(n-5)d + a+(n-2)d + a+(n-1)d = 5a + (5n-15)d, so a+(n-3)d = 17 a+3d=9 subtract to get (n-6)d = 8 So, either #1: n=7 d=8 a=-15 #1: n=8 d=4 a=-3 #3: n=10 d=2 a=3 #4: n=14 d=1 a=6 #1: S7 = 7/2(-30+48) = 63 S2 = 2/2(-30+8) = -24 ...
magnesium carbonate is MgCO3 So, each molecule will produce a molecule of CO2 27% of 670kg is 180.9kg each mole of MgCO3 has a mass of 84.3g, so we have 2145.9 moles of MgCO3. That will produce 2145.9 moles of CO2, each with a mass of 44g.
If there are x adults, then add up the cost of the tickets. 7x + 3(3x) = 6000 x=375 ...
a/b = 3/5 (a-10)/(b+10) = 1/3 a = 30
Hora aderat briligi. Nunc et Slythia Tova Plurima gyrabant gymbolitare vabo; Et Borogovorum mimzebant undique formae, Momiferique omnes exgrabure Rathi.