Answer: option D is the correct answer.
Step-by-step explanation:
The given sequence is a geometric sequence because the consecutive terms differ by a common ratio.
The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a1 represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a1 = 36
r = 12/36 = 4/12 = 1/3
Therefore, the formula for the nth term of the sequence is
an = 36 × 1/3^(n - 1)
an = 36 × 3^-1(n - 1)
an = 36 × 3^(-n + 1)
an = 36 × 3^(1 - n)
Answer:
raise ^that 4 to the power of -1+2 like this
raise ^to the power -2 like this
5-2=3 <Awnser
Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
It could be 8ft, if the area is 64.
First I chose two points on the line that fall on 2 intervals or 2 lines. Then if found the slope of the two points. Using the slope and one of the points I pugged the numbers into an equation to solve for b. Once I found b I wrote an equation using b and the slope.
y=-2/3+300
steps:
(250,200)(300,100)
100-200/300-150
-100/150 or -2/3
100=-2/3(300)+b
100=-200+b
300=b
y=-2/3b+300
