Answer:
6.1 hours
Step-by-step explanation:
The starting number 275 is multiplied by the factor 1135/275 in 3 hours. This gives rise to the exponential model ...
... n(t) = 275·(1135/275)^(t/3)
We want to find t when n(t) = 5000. Substituting this into the equation and solving, we have ...
... 5000 = 275·(1135/275)^(t/3)
... 5000/275 = (1135/275)^(t/3) . . . . divide by 275
... log(5000/275) = (t/3)·log(1135/275) . . . . take the log
... t = 3·log(5000/275)/log(1135/275) . . . . multiply by the inverse of the x-coefficient
... t ≈ 6.13795 . . . hours
Rounded to reasonable precision, the time is approximately 6.1 hours.
Answer:
Step-by-step explanation:
Given
Required
Factorize
Expression:
Start by expressing the expression as a sum of products.
and
So;
Notice that constant 3 is common in both terms.
This can then be factorizes as:
Hence:
Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, = 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
Answer:
Step-by-step explanation:
a.6/1/2=x
b. 12