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.
Answer:
Choices 2, 3, and 5 are correct.
Step-by-step explanation:
Complete question is:
Check all that apply.
1. ln ab² - ln a
2. ln a + 2 ln b
3. ln a² + ln b² - ln a
4. 2 ln ab
5. ln ab²
ANSWER:
The given expression is : 2 ln a + 2 ln b - ln a
It simplifies to: ln a + ln b² = ln ab²
Checking the given options.
1. ln ab² - ln a = ln (ab²)/a = ln b²
FALSE
2. ln a + 2 ln b = ln ab²
TRUE
3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²
TRUE
4. 2 ln ab = ln a²b²
FALSE
5. ln ab²
TRUE
Answer:
(-1,-1)
Step-by-step explanation:
finding y
-6x + 5y = 1
+ (6x + 4y = -10)
---------------------------
9y = -9
y = -1
finding x
-6x + 5(-1) = 1
-6x - 5 = 1
+ 5 = +5
-6x = 6
x= -1
Answer:
x=-17, y=5. (-17, 5).
Step-by-step explanation:
-2x-5y=9
3x+11y=4
---------------
3(-2x-5y)=3(9)
2(3x+11y)=2(4)
---------------------
-6x-15y=27
6x+22y=8
-----------------
7y=35
y=35/7
y=5
3x+11(5)=4
3x+55=4
3x=4-55
3x=-51
x=-51/3
x=-17