Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0
answer is third one
Answer:
Step-by-step explanation:
From order of growth rate ; Constant < Logarithmic < Polynomial < Exponential
Hence in ascending order ; n (log n)³ < n^4/3 < n^log n < 2√^(logn) < 2n < 2n² < 2^2n
Answer:
- k = 0.005
- doubling time ≈ 139 years
Step-by-step explanation:
Matching the form
A = A0·e^(kt)
to the given equation
A = 8·e^(.005t)
we can identify the value of k as being 0.005.
k = 0.005
___
The doubling time is given by the formula ...
t = ln(2)/k = ln(2)/0.005 ≈ 138.63
It will take about 139 years for the population to double.
Scaling on map is defined as the ratio of a distance on the map to the corresponding distance on the ground.
Here, 3.2 centimeters on the map is equivalent to 4 kilometers.
We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to.
Using the unitary method:
Therefore, the scale of map represents 1.25 kilometers for each centimeter.
There's an infinite amount of numbers that round to 8.21 when rounded to the nearest hundredth, for example:
8.211
8.209
8.214
8.21145683204
etc...
Just pick whichever two numbers you like :)
