8 + 5 (x - 3)^3...when x = 9
8 + 5 (9 - 3)^3 =
8 + 5 (6^3) =
8 + 5(216) =
8 + 1080 =
1088
If is the water level after days, then at the start we have . After the first day , the water level falls by 1.5, so that . After the second day , the water level falls by a total of 2(1.5) = 3, so that . And so on.
The idea is that has the closed form (to answer part b).
could be any non-negative number of days, which means we can pick from the set of non-negative real numbers. However, after a certain point, our function will start returning negative values, which would translate to the water level falling below the riverbed. So for the purposes of this problem, we should first find out when reaches 0:
That is, the river dries up completely after 14 days. So we can say the domain of is .
The range is the set of values that can take on for the values of in the domain. In this case, we start at 21 and steadily fall to 0, so the range is .
After 9 days, the water level falls to
so in total, the water level would have subsided by a depth of 21 - 7.5 = 13.5 ft.
Answer:
50% 4 red marbles 8 total marbles
Step-by-step explanation:
Length • Width = area. Length is 14. So set it up like an equation. W • 14 = 161. This simplifies to 14W= 161. Divide both sides by 14 to get the variable alone. This gets you 11.5. So the width is 11.5. Hope this helps
The correct question is
<span>What is the approximate circumference of the largest circle that could be cut out of an 8 1/2-inch by 11-inch piece of paper? use 3.14 for p and round to the nearest inch?
we know that
the circumference=pi*D
where D is the diameter
dimensions piece of paper
8 1/2 in x 11 in----> 8.5 in x 11 in
so
</span><span>The longest diameter (that remains on the paper) would be 8.5 inches
circumference=3.14*8.5-----> 26.69 in------> nearest inch----> 27 in
the answer is
27 in</span>