Answer:
f(n) = a+200(n -1)
Step-by-step explanation:
The constant difference between terms indicates the sequence is an arithmetic one. The explicit formula for an arithmetic sequence is ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
Your first term is "a", and your common difference is 200, so the n-th term of the sequence is ...
an = a + 200(n -1)
Written as a function of n, this is ...
f(n) = a + 200(n -1)
_____
Based on the problem description, we cannot tell how n relates to time, so we have created an f(n) that gives the same result as the recursive definition of f(n).
Answer:
vertical angles, x=5 The angles each measure 35 degrees
Step-by-step explanation:
These are vertical angles, so they are equal
3x+20 = 10x-15
Subtract 3x from each side
3x+20-3x = 10x-13-3x
20 = 7x-15
Add 15 to each side
20+15 = 3x-15+15
35=7x
Divide by 7
35/7 = 7x/7
5 =x
The angles are equal so they each measure
3x+20 = 3(5)+20 = 15+20 = 35
The each measure 35
Answer:
Line MK is the perpendicular bisector of LN. and ML is congruent to MN
Step-by-step explanation:
For a better understanding of the explanation provided here kindly go through the file attached.
Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.
Now, we know that the total angle in radians covered by a cosine in a given period is 
and the period given in the question is t=3 seconds. Therefore, the angular velocity, 
of the mentioned system will be:
Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:
Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.
Answer:
sry i dont know
Step-by-step explanation:
