Answer:
measure of what?
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) Determine the GCF of the numbers 96 and 88
=> Decompose each number in their prime numbers:
=> 96 = (2^5)(3)
=> 88 = (2^3) (11)
=> GCF of 96 and 88 = 2^3 = 8
2) Determine the GCF of the letters, x^2 and x
=> x
3) Conclude the GCF of the terms is 8x
4) Now you can factor the expression by dividing each term by the GCF, 8x:
96 x^2 / (8x) = 12x
88x / (8x) = 11
The factored form is (8x) (12x + 11)
Answer:
the constant is 3.683
Step-by-step explanation:
11. No
12. 85
13. 5 square root of 2
14.
Answer:
ln(108) = 3.58
Step-by-step explanation:
Data provided:
ln(2) ≈ 0.69
and
ln(3) ≈ 1.10
equation to be solved
ln(108)
now,
ln(108) = ln (2 × 54)
or
= ln( 2 × 2 × 27 )
or
= ln( 2 × 2 × 3 × 3 × 3 )
or
= ln( 2² × 3³ )
Now,
we have the property of log function as:
1) ln(AB) = ln(A) + ln(B)
and,
2) ln(xⁿ) = n × ln(x)
on applying the above properties , we get
ln( 2² × 3³ ) = ln(2²) + ln(3³) using property (1)
or
= 2ln(2) + 3ln(3) using property (2)
on substituting the values given in the question
we get
ln(108) = ( 2 × 0.69 ) + ( 2 × 1.10 )
= 1.38 + 2.20
= 3.58