Answer:
8 in
Step-by-step explanation:
since the box is the same length in all sides, it is a cube.
length, width and height are all the same.
the volume is 512 in³.
and the volume of a cube is length×width×height = side length³.
512 = length³
length = 8 = width = height
Answer:
Part 1) The exponential function is equal to 
Part 2) The population in 2010 was
Step-by-step explanation:
Part 1) Write an exponential decay function that models this situation
we know that
In this problem we have a exponential function of the form

where
y ----> the fish population of Lake Collins since 2004
x ----> the time in years
a is the initial value
b is the base
we have


substitute
----> exponential function that represent this scenario
Part 2) Find the population in 2010
we have
so
For 
substitute
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Answer:
10,000 is the total amount of.money that was distributed
triangle on right is the same as the triangle on the left
use pythagorean theorem
hypotenuse will give to the sides of the rectangle
a^2 + b^2 = hypotenuse squared
10.4^2 = 108.16
15.3^2 = 234.09
342.25 = hypotenuse squared
take the square root in both sides
hypotenuse = the square root of 342.25 =
18.5
add up the areas of the 2 triangles and rectangle
triangle area is 1/2 times 10.4 times 15.3 =
79.56
2 triangles areas are 159.12
rectangle area is 18.5 × 7 = 129.5
159.12 + 129.5 = 288.62
answer 1 = 288.62
second question:
to get 1 side take the
square root of 702.25 which is
26.5
to get the perimeter
multiply 26.5 by 4 which is
106
answer 2 is choice B 106