Answer:
π
V-foam = 4r³( 2 - ----- )
3
Step-by-step explanation:
Let r denote the radius of the sphere. The volume of the sphere is expressed as
V = (4/3)(π)(r³).
Next, understand that the cube's side length is 2r, hence the cube's volume is
V = (2r)³, which equals 8r³.
The volume of the foam is derived from the cube's volume subtracting that of the sphere:
V-foam = 8r³ - (4/3)(π)(r³). This can be simplified to
π
V-foam = 4r³( 2 - ----- )
3
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years
An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years
I hope this is helpful:-)
Answer:
The correct response is: b)
Step-by-step explanation:
a4b=24, where a × 4 × b = 24 implies a × b = 6
The pairs of numbers with a product of 6 include: {1,6} and {2,3}
In base 10, a4b translates to 100a + 40 + b
Calculating gives us:
100×1+40+6=146
100×6+40+1=641
100×2+40+3=243
100×3+40+2=342
Summing these results yields: 146 + 641 + 243 + 342 = 1372
The correct answer is: b)
