Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15
lbvjy [14]
Answer:
8192
Step-by-step explanation:
The number of subsets of an n-element set is 2^n.
Your set has 13 elements, so has 2^13 = 8192 subsets.
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This count includes the empty set and the full set.
<span> 3x+5y = 15
5y = -3x + 15
y = -3/5(x) + 3
hope it helps
</span>
Answer:
Refer below
Step-by-step explanation:
Installation fee equation will be added onto the original equation
So g = base cost + percent cost + $100
(Cost of carpet) ---> g = $7.5x + ($7.5x * 0.05) + $100
Plug in 150 into the formula that gives you $1281.25
Make sure to study these, questions like these will for sure strengthen your math skills
Answer: I think the answer is B
Step-by-step explanation:
Which of the following is an arithmetic sequence? A.-2, 4, -6, 8, ... B.2, 4, 8, 16, ... C.-8, -6, -4, -2, ...
castortr0y [4]
Answer:
C. -8, -6, -4, -2, ...
Step-by-step explanation:
An arithmetic sequence increases by the same amount every time through addition or subtraction. There is a common difference.
A: -2, 4, -6, 8, ... If there were a common difference, the numbers would not switch between being positive and back to negative. The numbers would either keep going positive or keep going negative.
B: 2, 4, 8, 16, ... The common difference between 16 and 8 is 16 - 8 = 8. The difference between 8 and 4 is 8 - 4 = 4. Since the difference changes between the numbers, this is not an arithmetic sequence.
C. -8, -6, -4, -2, ... The common difference between -2 and -4 is -2 - (-4) = -2 + 4 = 2. The difference between -4 and -6 is -4 - (-6) = -4 + 6 = 2. The difference between -6 and -8 is -6 - (-8) = -6 + 8 = 2. Since the common difference is always two, this is an arithmetic sequence.
Hope this helps!
