Answer:
14 = x and 2.5 = y
Step-by-step explanation:
For ABCD - the top is 8 and the sides are 11. 11 minus 8 is 3. 11 plus 3 equals 14, that’s x.
For GHIJ - the bottom is 8 and both sides are 5.5. So 8 minus 5.5 is 2.5. That’s y.
Answer:
B - either remains the same or increases
Step-by-step explanation:
To determine which seating arrangement would be able to seat more people you will find the distance around each table.
For the rectangle, you will find the perimeter:
P = 2l + 2w
2 x 6 + 2 x 4
P = 20 feet
For the circle you will find the circumference:
C = pi x d
3.14 x 6
C = 18.84 feet
The rectangle would seat more people because the distance around the table is longer.
You would be able to fit about 7-8 people around the rectangular table and 6-7 people around the circular table.
Answer:
Intial Value: f(t) = 2 , Exponential Growth
Step-by-step explanation:
To find the initial value, all we have to do is find the value of f(t) at t = 0
In this case the given equation becomes

from the law of indices we know that any number with the power 0 is equal to 1 (except 0 with the power 0)

hence the above equation becomes

so the initial value is 2.
To find out whether this is exponential growth or exponential decay we need to see whether the base value of the power t is less than 1 or greater than 1, i.e. from

is
> 1 or
< 1
if the value is greater, then with each increment in power, the total value will increase while if it is less than 1 then with each increment in power the total value will decrease.
Hence since
> 1 then this is an exponential growth