Answer:
option 3
Step-by-step explanation:
sorry if im wrong
Answer:
y = e^x
Step-by-step explanation:
That curve represents a typical function of y = e^x, and to decide if it is y = e^x or y = e^x + 1 you need to replace x = 0
y = e^(0) = 1
y = e^(0) + 1 = 2
If you see the graph when x = 0, y = 1
So it is y = e^x
Answer:
p = 9
Step-by-step explanation:
8(8p + 8) = 640
use the dist property
64p + 64 = 640
<u> -64 -64</u>
64p = 576
divide by 64
p = 9
Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
