Answer:
1. -7
2. 212
3. -49
4.-1,991
5. 78
6. -16
7. 2
8. 100
9. 16
10. 16
11. 13
12. 75
13. |12| = 12
14.|12| = 12
15. |8|
16.| 10|
17.15
18. 1,400
Step-by-step explanation:
Answer:
The answer is (C)
Step-by-step explanation:
because unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long .The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.
Answer:
c = 8.14 million×(0.9166)^t
4.83 million
Step-by-step explanation:
Data:
t = y - 2007
c₀ = 8.14 million
c₃ = 23 % less than c₁
Part 1. Calculate c₃
c₃ = c₀(1 - 0.23) = 0.77c₀
Part 2. Calculate r
c₃ = c₀r^t
0.77c₀ = c₀r³
0.77 = r³ Divided each side by c₀
r = 0.9166 Took the cube root of each side
The explicit decay model is c = 8.14 million×(0.9166)^t
Part 3. Prediction
t = 2013 - 2007 = 6
c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million
The model predicts that there will be 4.83 million cars for sale in 2013.
Answer:
0.150 < (Proportion of Sandy's pie) < 0.167
15% < (Percentage of Sandy's pie) < 16.7%
Step-by-step explanation:
Total percentage of pie = 100% or 1
George, Sandy, Carlos, and Michelle all ate a piece of the pie.
George ate a fraction of 0.150
Michelle ate a fraction of (1/6) = 0.167
Carlos ate a fraction of (1/7) = 0.143
The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405
And Sandy is known to eat more than two of her friends, but less than one of them.
Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.
Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).
So, mathematically, the possible proportion of cake that Sandy ate is
0.150 < (Proportion of Sandy's pie) < 0.167
Hope this Helps!!!
Answer:
2x + 3y = 10, 3y = 18 (in both cases, for each input x, there is exactly one output y.
Step-by-step explanation:
3y = 10 - 2x, or y = (1/3)(10 - 2x) Yes, this is a function.
4x = 16 → x = 4 NOT a Function, because for x = 4 there are an infinite number of possible y -values
2x - 3 = 14 → 2x = 17 → x = 17/2 Not a function. See reason given above.
3y = 18 → y = 6 Function
2x = 14.6 → x = 7.3 Not a function. See reason given above
