Answer:
n = -5.792 ≈ - 5.80
Step-by-step explanation:
The question denotes,
1/32 ÷ √3 = 2^n
Solving for n,
- 1/32 * 1/√3 = 2^n
- 0.018042 = 2^n
Taking log on both sides,
- log (0.018042) = log(2^n)
Rewrite it as,
Transposing log(2) to the RHS,
- n = log(0.018042)/log(2)
- n = -5.792 ≈ -5.80
The compound interest is given by:
A=p(1+r/100)^n
where;
A=amount
p=principle
r=rate
n=time
therefore the time taken for Felicia's money to double will be:
350=175(1+4/100)^n
350/175=1.04^n
2=1.04^n
therefore introducing natural longs we get:
ln2=nln1.04
n=(ln2)/(ln1.04)
n=17.7 years
The answer is 17.7 years
Answer: Simple cubic=0.39nm
Face centred cubic
=0.55nm
Body centered cubic
=0.45nm
Diamond lattice= 0.9nm
Step-by-step explanation: The lattice constant (a)
for SC=2*r
Fcc=4*r/√2
Bcc= 4*r/√3
Diamond lattice=8*r/√3
Here,
r is the atomic radius measured in nm
r = 1.95Å * 1nm/10Å
=0.195nm
Now let's calculate (a)
SC = 2*r = 2*0.195 nm=0.39nm
Fcc = 4*r/√2 =4*0.195nm/√2
= 0.55nm
Bcc = 4*r/√3 =4*0.195nm/√3
= 0.45nm
Diamond lattice = 8*r/√3
=8*0.195nm/√3
= 0.9nm
Answer:
No, doubling the base and height would actually quadruple the area,
Step-by-step explanation:
With the original measurements of b = 3 ft and h = 5 ft,
<em>b x h = A</em>
<em>(3) x (5) = </em><em>15 ft</em>
So lets say we <em>doubled</em> the factors:
<em>(2)(3) x (2)(5) = A</em>
We would end up with 60 feet, four times that of 15.
<em>(6) x (10) = </em><em>60 ft</em>