The next number in the given series is going to be 565.
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
Answer:
[(cosθ-1)^2]/(sinθ)^2
Step-by-step explanation:
(cotθ-cscθ)^2
(cotθ)^2-<em>2cscθcotθ</em>+<u>(cscθ)^2</u>
(cosθ/sinθ)^2-2<em>(cosθ/(sinθ)^2) +</em><u>1/(sinθ)^2</u>
All have same denominator, (sinθ)2, add/subtract
((cosθ)^2-2cosθ+1)/(sinθ)^2
Factor the top
[(cosθ-1)^2]/(sinθ)^2
The y-intercept of a function is that function's value when x=0.
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.
If you want them to differ by zero (be the same), you have to move them to the same point.
Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.
Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.
Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.
Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.
___
The appropriate choice is the 1st one.
f(x) - 3 and
g(x) + 1
The total number of sides on a dice are 6.
The number of even numbers on a dice are 3 (2,4,6).
Since we have 3 even numbers and include the number 3, we have a total of 4/6. 4/6 simplifies to 2/3.
Your probability of rolling a 3 or even is 2/3.
Answer:
It is proved
Step-by-step explanation:
A curve immersed in the three-dimensional sphere is said to be a Bertrand curve if there exists another curve and a one-to-one correspondence between and such that both curves have common principal normal geodesics at corresponding points.
See attachment for the step by step solution of the given problem.