Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
Nastasia [14]
Answer:
for all n>0, 
Step-by-step explanation:
Let 
be the sequence described.
A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that 
forr all n>0.
To find r, note that
Similarly
Thus 
for all n>0, and
Answer:
The concept which best describes the change of the population is the derivative of 
.
Step-by-step explanation:
Observe that the function describes the amount of rabbits at the time t (in years) but no the rate of change of the population at a given instant. So you have to use the derivative of 
to obtain that rate of change at any instant. For example, if we derivate the function we obtain:
And if we want to find the rate of change at 
years we evaluate
rabbits/year
Answer:
Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.
2. 45, 135, 135
Step-by-step explanation:
2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.
For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1
180-45=upper angle 1
upper angle 1 = 135 degrees
Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.
Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.
135+135=270 degrees (sum of upper angles)
45+45= 90 degrees (sum of base angles)
270+90=360
So the angle measures of the other three angles are 135, 135, and 45.
Hope this helps!
Let
x:adult tickets
y:youth tickets
We have
2x+3y=134
3x+2y=146
Rewritting
6x+9y=402
-6x -4y=-292
adding
5y=110
Clearing y:
y=110/5
y=22
Answer:
the price of a youth ticket is 22$
Think of PEMDAS, or Please Excuse My Dear Aunt Sally. Which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction in that order.
