Step-by-step explanation:
log(z) is defined when z > 0.
For log(9 - x²) to be defined, we have 9 - x² > 0.
=> x² < 9, -3 < x < 3.
The domain of y = log(9 - x²) is (-3,3).
Answer:
160,000 sq ft
Step-by-step explanation:
2018 is 13 years after 2005.
Put x=13 in the equation and evaluate:
... y = 0.538·13 +9.02 = 6.994 +9.02 = 16.014
This is the number of 10,000 sq ft, so the required area is ...
... 16 times 10,000 sq ft = 160,000 sq ft.
Answer:
Step-by-step explanation:
Formula to be used is N=N0e^(kt)
N0 - amount of bacteria at time 0, which is 10g
t=2, 30g
30 = 10*e^(k*2)
3 = e^(2k)
2k = ln3
k = 0.5ln3
At t=6:
N = 10*e^(0.5ln3*6)
N = 10e^(3ln3)
N = 10e^ln27
N = 10*27 =270
So the amount of bacteria at t=6 is 270
Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.
All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.
