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1 answer:
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Answer:
Step-by-step explanation:
6) Convert mixed fraction to improper fraction and then plugin the values in the formula.
b) 10 cubic yard is less than 11 2/3 cubic yard. So, it will fit in the wood shed.
7) Right side rectangular prism:
l = 16 in
w = 5 in
h = 20 - 14 = 6 in
Volume 1 = 16 * 5 * 6 = 480 cubic inches
Left side rectangular prism:
l = 9 in
w = 5 in
h =14 in
Volume 2 = 9 * 5 * 14 = 630 cubic in
Volume of composite solid = 480 + 630 = 1110 cubic inches
Answer:
34
Step-by-step explanation:
Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.
The general formula of that geometric sequence will be: t = 1 + 2^(n-1)
We need to find the value of n when t will be over 5,000,000,000.
So, the equation becomes:
5,000,000,001 = 1 + 2^(n-1)
(n-1) * log(2) = log(5,000,000,000)
n-1 = log(5,000,000,000) / log(2)
n-1 = 22.25
n = 33.25
Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.