Answer:
Yes, she can.
Step-by-step explanation:
We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.
The surface area of a rectangular prism is given as:
A=2(wl+hl+hw)
where w = width, l = length, h = height
The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:
A = 2[(7 * 15) + (9 * 15) + (9 * 7)]
A = 2[105 + 135 + 63]
A = 2 * 303 = 606 square inches
1 square inch = 0.000771605 square yards
=> 606 square inches = 606 * 0.000771605 = 0.468 square yards
Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.
Answer:
An old bone contains 80% of its original carbon-14 in 1844.6479 years
Step-by-step explanation:
We know that
half life time of C-14 is 5730 years
so, h=5730
now, we can use formula

we can plug back h
and we get

An old bone contains 80% of its original carbon-14
so,
P(t)=0.80Po
we can plug it and then we solve for t





So,
An old bone contains 80% of its original carbon-14 in 1844.6479 years
Step-by-step explanation:
f(x) = x² - 2x - 3
g(x) = 4x²
f(g(x)) = f(4x²)
f(4x²) = (4x²)² - 2(4x²) - 3
= 16x⁴ - 8x² - 3
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