Answer: a = 17/6
Step-by-step explanation:
I will use two laws of indices to solve this question
1. x^a / x^b = x^(a-b)
2. x^a = x^b, => a = b
Using both laws
x³/x^1/6 = x^a
x^(3-1/6) = x^a
3 - 1/6 = a
a = 3 - 1/6
a = (18 - 1)/6 using LCM
a = 17/6
Y=11x+4. formula: y=mx+b. insert the number of tickets where x is times 11 then add 4 to your total
Answer:
x=5
From the dashed lines on the two sides of this triangle, we can see that these two sides are congruent, or equal, to each other.
In geometry, if a triangle has two congruent sides, then we can call it a <em>isosceles triangle</em>.
In an isosceles triangle, the corners opposite the congruent sides are also congruent, meaning, that the angle measures of this triangle are: 88, 9x+1, and 9x+1.
We also know that angles in a triangle add up to 180 degrees.
So, we have: 88+(9x+1)+(9x+1) = 180
Simplifying: 18x + 2 = 92
Solving: 18x = 90, so x=5
Hope this helps!
Answer:
3.48 hours
Step-by-step explanation:
The equation is:

Where
M(t) is the amount of medication remaining in mg
t is the time it takes, in hours
The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??
We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

<u>Note: </u> Ln(e) = 1
This means, the amount of time it will take is about 3.48 hours