Answer: 2nd most popular country = 15895 students
most popular country = 24390 students
Step-by-step explanation:
Total students: 40,285
2nd most popular country = x students
most popular country = x + 8,495 students
x + x + 8495 = 40285
2x + 8495 = 40285
2x = 40285 - 8495
2x = 31790
x = 15895
2nd most popular country = x = 15895 students
most popular country = x + 8,495 = 15895 + 8,495 = 24390 students
1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3
Recall that
, so
ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:


Then
ln(2/3 <em>x</em> ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)
exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)
Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to
2/3 <em>x</em> ¹ʹ³ = exp(3)
Now solve for <em>x</em>. Multiply both sides by 3/2 :
3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)
<em>x</em> ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³
<em>x</em> = 3³/2³ exp(3×3)
<em>x</em> = 27/8 exp(9)
which is the same as
<em>x</em> = 27/8 <em>e</em> ⁹
Answer:
Answer:
The answer is 39°
Step-by-step explanation:
BAD = 90°
ADE = 51°
AED = 180° - BAD + ADE = 180° - 90° + 51°
= 39°
39° is the Final answer
#AnswerforTrees
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
Answer:thre
Step-by-step explanation: