Answer:
the answer is 60
Step-by-step explanation:
because 2(30)=60
A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958
b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
Answer:
yes, they are proportional
Step-by-step explanation:
A proportion is a relation that can be modeled by a straight line through the origin. The equation will have the form ...
y = kx
where x is the independent variable, y is the dependent variable, and k is a constant of proportionality.
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If you start with the equation relating distance, rate, and time:
d = rt
and you fix the time at 50 seconds, then the equation becomes ...
d = 50t
This is the equation of a proportion with a constant of proportionality of 50. It tells you the distance run is proportional to the rate you run. When this equation is graphed, it is a straight line through the origin.
Answer is A. To simplify you multiply numerator and denominator by the conjugate of the denominator.
I am 99% sure. Good luck.
Generic exponential growth model: y = Ao[1+r]^t
In this case: r = 3.5% = 0.035
y = 2Ao .....[the double of the initial value]
Then: 2Ao =Ao (1 + 0.035)^t
(1.035)^t =2
Take logarithm to both sides
t ln(1.035) = ln(2)
t = ln(2) / ln(1.035) = 0.693 / 0.0344 = 20.15
Answer: 20.15 hours.