Answer:
The prism
Step-by-step explanation:
The surface area of a cube is:
where
L is the length of the side
For the cube in this problem,
L = 6 cm
So the surface area of the cube is
The surface area of a rectangular prism with squared base is:
where
L is the length of the base
h is the height of the prism
For the prism in this problem,
L = 3 cm
h = 12 cm
Therefore,
So, the prism has a greater surface area.
Answer:
B= (-1, 7)
Step-by-step explanation:
Midpoint formula is X1 plus X2, then divided by 2. So, because the midpoint is given you work backwards. So for the x value do (-3 + x) divided by 2 equals -2 and solve for x and you do the same thing for the Y value
Answer:
1845 years
Step-by-step explanation:
Decay of Carbon-14 is usually modeled by an exponential function. It x is the number of years since the original amount was brought into existence, then the fraction remaining (y) is modeled by ...
... y = (1/2)^(x/5730)
We want to find the value of x when y = 80% = 0.80. The equation is then ...
... 0.80 = 0.50^(x/5730)
Taking logarithms, we get
... log(0.80) = (x/5730)·log(0.50)
Multiplying by the inverse of the coefficient of x, we have
... x = 5730·log(0.80)/log(0.50) ≈ 1845 . . . . years
Multiply by 2 to get the whole answer
