Those are right ...........................
Answer=3610.201
3*1000=3,000
6*100=600
1*10=10
2*1/10=0.2
1*1/1000=0.001
3000+600+10+0.2+0.001=3610.201
Answer:
Below.
Step-by-step explanation:
a. 5 * 1000 = 5,000 micrometers
b. 5000 / 1000 = 5 kg
c. 4.23 * 10^12 = 4,230,000,000,000 picograms
d. 1.9 ^ 10^9 = 1,900.000,000 nanoseconds.
e. 2.3 million.
Hi there! We are given the expression:

To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm

These two properties are what we need for our problem. Therefore,

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

Answer
- log base 4 of (a^5/b^6) is our simplifed form.
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Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6