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.
The slope-intercept form of the linear equation 
is 
Step-by-step explanation:
We need to write slope-intercept form of the linear equation
The standard equation of slope-intercept form is:
Converting given equation in slope-intercept form.
Add -4x on both sides
Divide both sides by 2
So, the slope-intercept form of the linear equation is
Keywords: Slope-intercept form
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Answer:
194.
Step-by-step explanation:
x = (7+4√3)
x^2 = x = (7+4√3)^2
= 49 + 48 + 56√3
= 97 + 56√3
x^2 + 1/x^2 = 97 + 56√3 + 1/(97 + 56√3)
= 194.
Answer: 13%
Step-by-step explanation:
The formula to find the simple interest is given by :-
, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).
Given : P = $19,100 , I=$9932.00 and t= 4 years
Substitute all the above values in the formula , we get
In percent , 
Hence, the rate of interest = 13%
Answer:
960
Step-by-step explanation:
3/8*total number of animals = 600
total number of animals = 8/3 * 600 = 1600
number of animals fed = 40/100 * 1600 = 640
animals still to be fed = 1600 - 640 = 960
