Answer:
Step-by-step explanation:
If this is an exponential function, it is of the form
where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate. To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b. Just a hint: If at all possible, choose the coordinate that gives you an x of 0. You'll see why in a minute.
I chose the first 2 points from your table: (0, .2) and (1, .8). Solving first for a:
The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1. So our equation then becomes:
so
a = .2 Easy enough.
Now use that value along with the other coordinate to solve for b:
b to the first is just b, so,
.8 = .2b
Divide both sides by .2 and you'll get that
b = 4
The equation, then, is
which is growth, since the value for b is greater than 1.
Answer:
area = 117
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A =
h (b₁ + b₂ )
here h = 6, b₁ = 14 and b₂ = 25
A =
× 6 × (14 + 25) = 3 × 39 = 117
A full circle is 360 degrees. A half circle is 180. And a quarter is 90. If he turns 47 degrees then he only needs to turn 223 degrees more till he faces north.