Answer:
Step-by-step explanation:
First you will have to put the formula of the rectangular rectangle L x W
Making you the answer you will do this
120 x 53 and then you divide the answer with 360 and then multiply 6 x2 and then add it and you get the answer
To solve this problem, let us first find for the binary
equivalents of the numbers. They are:
Decimal --> Binary
+ 29 --> 00011101
+ 49 --> 00110001
- 29 --> 11100011
- 49 --> 11001111
Now we apply the normal binary arithmetic to these converted
numbers:
(+ 29) + (- 49) ---> 00011101 + 11001111 =
11101100 ---> - 20 (TRUE)
(- 29) + (+ 49) ---> 11100011 + 00110001 = 00010100
---> + 20 (TRUE)
(- 29) + (- 49) ---> 11100011 + 11001111 = 10110010
---> - 78 (TRUE)
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
Answer:
(a) the initial count of bacteria
(b) the growth factor (per hour)
(c) the initial count in the second study
(d) the difference in initial counts between the two studies
Step-by-step explanation:
(a) 1200 is b1(0), the initial count of bacteria.
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(b) 1.8 is the growth factor per hour, the factor that multiplies the previous hour's count to get this hour's count.
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(c) Assuming b2(t) = 1000(1.8)^t, the value 1000 is the initial count of bacteria in the second study, b2(0).
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(d) The difference between 1200 and 1000 means the first study started with 200 more bacteria than the second study did