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Answer:
x = 1
Step-by-step explanation:
<u><em>since the function ln is the inverse of the function exponential then :</em></u>

:)
<h2>
Answer:37 paintings of $50 and 15 paintings of $75</h2>
Step-by-step explanation:
Let
be the number of paintings Ella sells for $
.
Let
be the number of paintings Ella sells for $
.
Profit made through $
paintings is 
Profit made through $
paintings is 
So,total profit is given by 
It is given that total profit is $
So,
..(i)
Given that the total number of prints is 
So,
..(ii)
using (i) and (ii),


<h3>
Answer: 112</h3>
=========================================================
Explanation:
The angle adjacent to the 146 degree angle is 180-146 = 34 degrees.
In other words, the angles 34 and 146 combine to 180. These angles are supplementary.
The tickmarks on this triangle tell us it is isosceles. The angles opposite the congruent sides are congruent angles. So the unmarked interior angles (not marked x) are 34 degrees each.
Now use the fact that any triangle has its interior angles always add to 180
x+34+34 = 180
x+68 = 180
x = 180-68
x = 112
L=2w-3
w(2w-3)=54
2w²- 3w-54=0
A= 2 , B= -3, C= -54
sub values into quadratic formula
i attached picture of formula
Final answer: you will be given 2 answers 6 and -4.5. -4.5 is rejected since a negative value cannot represent length because that just doesn't make sense.
w=6
Check:
L=2w-3
=2(6)-3
=12-3
=9
9*6=54
Therefore the dimensions of the photograph are 6 cm by 9 cm
<span>The value of cot is √13/6</span>