Answer:
y=3/4(4)^x
Step-by-step explanation:
hello :
the graph passes through the point (1,3) : when x=1 and y=3 : 3= ab^1
the graph passes through the point (2,12) : when x=2 and y=12 : 12= ab^2
so the system : ab=3 ...(*)
ab² =12..(**)
ab² = b(ab) = 12 but : ab=3 so : (**) equivalent to b(3)=12 .... b=12/3=4
now : ab= 3 and b=4 so : 4a=3 ... a=3/4
y=3/4(4)^x
Answer:
1, 3, 17, 51
Step-by-step explanation:
1 X 51 = 51
3 X 17 = 51
Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
Answer:
Slope is 1/4
Step-by-step explanation:
Count the rise over run from somewhere the line is matched up with a whole point, like 20 or 60. The next place the point is a whole (if starting from 20) is 60. Run is 4. The Rise from 20 to 60 is 1
