We are given 85
Firstly, we will find all possible factors of 85
we can write it as

so, exponential form is
................Answer
Answer:
height of vertical post = 6ft
its shadow = 20 in
For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)
So the ratio is
4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,
and if h is the height of the cell tower,
h/122 feet = 4
h = 4 x 122 feet = 488 feet. <---------------- Final answer
Hope I helped,
-Adrian Velez
Step-by-step explanation:
Answer:
hello your question is incomplete attached below is a the complete question
answer : n = 5
Step-by-step explanation:
lets consider N to be 5
To prove that the least number 'n' = 5
we will represent this information in a graph as vertex
Black edge = Friends
Blue edge = not Friends
From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines
attached below is an explanation related to the choice of n = 5
considering n = 5 is satisfied by the explanation given
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
Isosceles triangle has 2 sides that are the same length. So what you have is three sides that measure: x, x, and (x-8). 70 = x + x + (x-8).
70 = x + x + x - 8
78 = 3x
x = 26.
and 26 - 8 = 18.
So two of your sides are 26 inches and the last side is 18 inches.