Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
Answer:
a = -4.
Step-by-step explanation:
25(√5)^a * (√5) ^3 = 5√5
25*5^a/2 * 5^3/2 = 5*5^1/2
25*5^a/2 = 5*5^1/2 / 5^3/2
25*5^a/2 = 5^1 *5^1/2 / 5^3/2
25*5^a/2 = 5^3/2 / 5^3/2 = 1
5^a/2 = 1/25 = 5^-2
The bases are equal, so
a/2 = -2
a = -4.
Answer:
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Step-by-step explanation:
Answer:
The 500 mice would be the carrying capacity of the field being studied.
Step-by-step explanation:
For the first year of study, the mouse population demonstrates exponential growth.
But by third year, the mouse population has stabilized at approximately 500 mice.
Thus, this 500 mice would be the carrying capacity of the field being studied.
Carrying capacity is defined as the measure to demonstrate the maximum population size that any given environment can sustain for an unspecified time period.
Answer:
Step-by-step explanation:
we have 105 marbles
number of blue marbles= x
green marbles= x+25
x+x+25=105
2x=105-25
2x=80
x=40 blue marbles