Answer:
Growth, with a 9% increase.
Step-by-step explanation:
Exponential patterns are usually defined by some kind of <em>repeated multiplication</em>. In most exponential patterns we start with some <em>initial value</em> (let's call it a) and some <em>multiplier</em> (let's call it b), and a is multiplied by b some number x times. We capture this as a function y with the equation
There are three broad categories for this pattern:
- <em>No growth/decay </em>- The function has an initial value that never changes. In order for the initial value to stay constant, we need
, since multiplication by 1 doesn't change the number it's multiplied by. - <em>Growth</em> - The function grows at some exponential rate; for every increase in x, our initial value will be at <em>least</em> as big as it was for smaller values of x, so
in this case. (Example: A bacteria population starts at size 3 and doubles in size every hour; after x hours, there will be
bacteria) - <em>Decay - </em>The function decays or decreases at some exponential rate; for every increase in x it <em>can't be as large</em> as it was for smaller values of x, so
here. (Example: An Instagram post gets an initial wave of 100 new likes, and every hour it gets half the number of likes as the previous hour, so the number of new likes per hour is
.
In the function
,
, so we have exponential <em>growth</em>, but by what percent? Well, for every step in x, we take 1.09 (109%) of the previous value, so that's a 9% increase.
Answer:
Part A) The area total of the design is 
Part B) The total area of the four large shaded triangles is 
Part C) The cost to purchase the material to make the triangles for the quilt will be 
Step-by-step explanation:
Part A) Find the area total of the design
The area total of the design is a square
so
To find the length side of the square design multiply the number of squares by 3 in



Part B) Find the total area of the four large shaded triangles
the area of the four large triangles is equal to
![A=4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have that


substitute
![A=4[\frac{1}{2}(6)(6)]=72\ in^{2}](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%286%29%5D%3D72%5C%20in%5E%7B2%7D)
Part C) How much will it cost to purchase the material to make the triangles for the quilt ?
To find the cost multiply the area of each design of four large triangles by 30 and then multiply by $0.08 per square inch
The cost is equal to

Answer:
A(x) = x(200-x)
Step-by-step explanation:
400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet
If x is length and y is breadth. Perimeter is given by :
P = 2(x+y)
400 = 2(x+y)
⇒ (x+y) = 200 .....(1)
y = 200-x
Area of a rectangle is given by :
A = xy
A(x) = x(200-x)
Hence, the area as a function of length of rectangle is x(200-x).
Answer:
If we are converting between two bases other than decimal, we typically have to convert ... For two digits in base 8, we need 4, 5, or 6 digits in base 2.
The rarest form of dichromatism is = tritanopia