Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.

Answer:
side of base, a = 10.1 inches, height, h = 40.1 inches
Step-by-step explanation:
Volume of rectangular solid, V = 4096 cubic inches
Let the side of base is a and the height is h.

surface area of the solid

So, h = 40.2 inches
Answer:
true
Step-by-step explanation:
let me know if this is right
Answer:
A fixed cost: Does not change with changes in the volume of activity within the relevant range
Step-by-step explanation:
Fixed Cost:
In economics, a fixed cost in a specified period of time does not change with respect to an increase or decrease in the production of goods or services. In contrast, the variable cost changes in proportion to changes in production of goods or services.
Examples of Fixed Cost:
Salaries, Rents, insurance payments, taxes, some utilities etc
Answer: 1-17/30, or 47/30
Step-by-step explanation:
Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)
Your new fractions are 27/30 and 20/30. Now add the numerators.
27+20=47.
Your new fraction is 47/30.
Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.