Step-by-step explanation:
a polynomial has two or more terms and cannot have a variable in the denominator. so the answer is B and C
If a skilled wrapped does 4000 egg rolls in an 8-hour day, then he does 4000 / 8 = 500 egg rolls per hour. It means that he can make 500 / 60 = 8,(33) egg rolls per minute. So Bettie's claim is not reasonable.
It would be reasonable if the wrapper would make 1 * 60 = 60 egg rolls per hour and 60 * 8 = 480 egg rolls in one shift. So she's far away from truth :)
Hope this helps!
The center of this triangle is created by intersection of altitudes of the triangle, so this point T is an orthocenter.
So, the answer is A.
<span>Given number is 41/50,
Now, let’s find which one is closer to the given choices:
=> 9/11
=> 10/11
Notice that the given number and given choices are fraction numbers. In order
know which one is closer to the given number, we need to convert these numbers
into a decimal.
Note, that in converting a fraction number to a decimal is we need to divide
our numerator by our denominator to get the answer.
=> 41/50
=> 0.82
The value of 41/50 is 0.82. Now, let’s find the value of the given choices.
=> 9/11
=> 0.818 or 0.82
=> 10/11
=>0.909 or 0.91
Thus, the correct answer is 9/11 is equals to 41/50.</span>
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
