Answer:
Step-by-step explanation:
Here is a problem with the concept of properties of the exponent.
We are given 
and we have to find the value of 5x.
Now, 
{Since we are given that }
⇒ 
{Since we can write 
}
⇒ {Since we know the formula of exponent as 
}
(Answer)
Answer:
p = 39 f = 44
Step-by-step explanation:
p = $ 1.73
f = $ 1.44
<u><em>equation </em></u>
p + f = 83
1.73 p + 1.44 (83 - p) = $ 130.83
p = 39 (amount of times fruit pies were sold).
Therefore,
<em>p = 39</em>
<em>f = 44</em>
He added 8 to both sides. He did the write thing.
Let y be the total cost and x be the miles taken:
y = 0.30x + 35
35 is a fixed cost. No matter how many miles you drive the car you will still need to pay $35
.30 is a cost that depends on the miles taken (x).
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
