Answer:
y=25600
y=100(2)^{2t}
y=252
Step-by-step explanation:
A bacteria culture starts with 100 bacteria and doubles in size every half hour.

where x represents the number of hours
(a) t= 4 hours
Plug in 4 for t and find out the number of bacteria y

25600 bacteria

convert 40 seconds into hour
40 divide by 60 =2/3

The graph is attached below
Answer:
a: 120m
b:rs. 9000
Step-by-step explanation:
Lenght:35m
Breadth:25m
Lenght of wooden strip required to frame(perimeter) = 2(L + B)
=2(35m +25m)
= 2(60m)
= 120m
Cost of wooden strip =Rs.75/m
Total cost= length of wooden strip × cost
= 120m × Rs.75/m
= Rs. 9000
The required value of x is 4.
Answer:
2044 cubic inches
Step-by-step explanation:
The amount of concrete required is the larger volume MINUS the smaller volume.
Note: Volume of cube = s^3 where s is the side length
Larger Volume = s^3 = 15^3 = 3375
and
Smaller Volume = s^3 = 11^3 = 1331
Hence, amount of concrete needed to make 1 planter = 3375 - 1331 = 2044 cubic inches
Answer: has a maximum
the maximum is 11
Step-by-step explanation:
f(x)= -5x^2-10x+6
the function f(x)= ax^2+bx+c=0 has a<0 so the equation has a maximum
I know V has the coordonate x=-b/2a, and y=-(b^2-4ac)/4a
b^2-4*a*c= (-10)^2-4*(-5)*6=100+120=220
so -b/2a=-(-10)/-2*5=+10/-10=-1 and
-(b^2-4ac)/4a=-220/4*(-5)=-220/-20=22/2=11
so V( -1, 11)
and the maximum is 11