Answer:
Inertia is a tendency to do nothing or to remain unchanged.
It is a property of matter by which it continues in its existing state of rest or uniform motion in a straight line unless that state is changed by an external force.
Answer: x = 8
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I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)
log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2
Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.
Only x = 8 is a proper solution.
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You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)
So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed
Step-by-step explanation:
This is the answer of this question.
Answer:0.3, 0.386,0.683,0.836
Step-by-step explanation:
You look left to right in the numbers (0.12,0.12)
Hello!
To find the area of the trapezoid, you use the formula A=1/2h(a+b), where a and b represent the two base lengths.
Since we already know the two bases and the height, we can just plug them into the equation to find the area.
A=1/2·15.4(26.7+9.9)
A=1/2·15.4(36.6)
A=1/2·563.64
A=281.82
The area is 281.82 ft².
I hope this helps!
