B.
Let's simply look at each conjecture and determine if it's true or false.
A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will
always be even. And an even number minus 1 is always odd. Doesn't matter
if n is positive or not. So this conjecture is true.
B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.
C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always
be odd, regardless of what n is. So this conjecture is true.
D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.
Of the 4 conjectures above, only conjecture B is false. So the answer is B.
12/27 tulips to total flowers
Answer: 37
Explanation:
Order of operations says you do multiplication first, you get 4 • 10 = 40
Then do subtraction, so 40 - 3 = 37
Hope this helps!
9514 1404 393
Answer:
6. A
7. C
8. E
Step-by-step explanation:
6. Devon gets $0.45 for each of the s programs he sells, so his pay for selling is 0.45s. He gets a $40 flat rate for each game, so his total pay is ...
p = 0.45s + 40 . . . . . matches choice A
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7. Robert gets $25 per hour in tips for each of the x hours he works, so his tip earnings are 25x. He gets a $40 flat rate for each day he works, so his total pay for working x hours is ...
y = 25x +40 . . . . . matches choice C
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8. The graph of a proportional relationship is a straight line through the origin. This is described by B and C, so choice E is the best.
Answer:
31.5 ft
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 23² = 39²
Subtract 23² from both sides
a² = 39² - 23²
a² = 1521 - 529
a² = 992
Take the square root of both sides
a = 31.496031496
Rounded
a = 31.5 ft
