Answer:
Step-by-step explanation:
They are both straight lines. Function A has slope -5
Function B has slope -4.5
-4.5 > -5
B has the greater rate of change.
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Answer:
24 m^2
Step-by-step explanation:
There are two areas to consider here: first, the area of the wall, and second, the area of the window. We answer this question by finding these two areas and subtracting the area of the window from the area of the wall.
Wall area: (4 m)(7 m) = 28 m^2
Window area: (2 m)(2 m) = 4 m^2
Net area of wall, to be covered in brick:
28 m^2 - 4 m^2 = 24 m^2
Answer:
41.89 units
Step-by-step explanation:
Area of a sector: Θ/360 * (pi)(r)^2
