Answer:
Step-by-step explanation:
By definition, we can write ln instead of log. WHEN??
Whenever the base of the logarithm is the number "e".
Hence, when we have:
We can write it in shortcut as:
Hence, ln x can also be written as 
Fourth answer choice is right.
Answer:
Six
Step-by-step explanation:
Find the greatest common factor of each number.
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
The greatest common factor of 30 and 24 is 6.
Jane can make six fruit baskets if she divides the fruit evenly among them.
To find of a cone
hope this help you
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Answer:
After 1 year, both the tress will be of the same height.
Step-by-step explanation:
Let us assume in x years, both trees have same height.
Type A is 7 feet tall and grows at a rate of 8 inches per year.
⇒The growth of tree A in x years = x times ( Height growth each year)
= 8 (x) = 8 x
⇒Actual height of tree A in x years = Initial Height + Growth in x years
= 7 + 8 x
or, the height of tree A after x years = 7 + 8x
Type B is 9 feet tall and grows at a rate of 6 inches per year.
⇒The growth of tree B in x years = x times ( Height growth each year)
= 6 (x) = 6 x
⇒Actual height of tree B in x years = Initial Height + Growth in x years
= 9 + 6 x
or, the height of tree B after x years = 9 + 6x
According to the question:
After x years, Height of tree A =Height of tree B
⇒7 + 8x = 9 + 6x
or, 8x - 6x = 9 - 7
or, 2 x = 2
or, x = 2/2 = 1 ⇒ x = 1
Hence, after 1 year, both the tress will be of the same height.
