Answer:
Step-by-step explanation:
The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r
Common ratio = 6/3 = 12/6 = 2
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 3
r = 2
The function, f(n), representing the nth term of the sequence is
f(n) = 3 × 2^(n - 1)
Answer:
C. x+log(z)
Step-by-step explanation:
Taking the log of the equation gives ...
log(z) = (x -y)log(1/10) = (x -y)log(10^-1)
log(z) = (x -y)(-1) = y -x
Adding x gives ...
x + log(z) = y . . . . . matches choice C
So she breaded 1/2 of the fish and then ate 1/3 of that 1/2. So we need to find 1/3 of 1/2.
When you see "of" it means "×"
1/3 of 1/2 =
1/3 × 1/2 =
1/6
She ate 1/6 of the fish. She only ate 1/6 because fish is gross.
Answer: -3.
Step-by-step explanation:
We are given that : (1)
It means that f(x) and g(x) are proportional.
[Equation of direct variation: y=kx , where k= proportionality constant.]
From the given graph ,
At x= -3 , f(x)=1 and g(x) =-3
Put value of x=-3 in (1) , we get
[∵ f(x)=1 and g(x) =-3]
i.e. The value of k = -3
Hence, the correct answer is -3.