Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Answer: option d
Step-by-step explanation:
Remember the identity:
The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":
Knowing that: you need to find the measure of the angle "S" , 
(which is the adjacent side) and 
(which is the opposite side), you can sustitute values into
Then, you get that the measure of "S" rounded to the nearest tenth is:
Answer and Step-by-step explanation:
To find the surface area of a pyramid, start by multiplying the perimeter of the pyramid by its slant height. Then, divide that number by 2. Finally, add the number you get to the area of the pyramid's base to find the surface area.
The answer is 76.99 but rounded would make it 77.00 which is C
Answer:
last one equally likely, the probability is 0.5
