Answer:
Step-by-step explanation:
(-1/9) /(1/3) = (1/3)/(-1) = -1/3....the common ratio of geometric sequence
the recursive rule is :
the nth term is : An =A1 × r^(n-1)
r : the common ratio
A1 ; the first term
r = -1/3 and A1 = 3
An =3 ×(-1/3)^(n-1)
Answer:
Step-by-step explanation:
Given that radius of the circle = 10
Using π, we need to find about which equation expresses the ratio of the circumference of the circle to the circle's diameter.
diameter of the circle = 2(radius) = 2(10)=20
circumference of the circle = 2 π r = 2 π (10) = 20 π
then ratio of the circumference of the circle to the circle's diameter is given by: 
.
Hence required equation is
2x/3+1=3
-1
2x/3=2
*3
2x=6
/2
x=3
Answer:
750%
Step-by-step explanation:
We know that 100% of 5 is 5,
200% of 5 is 10,
300% of 5 is 15,
400% of 5 is 20,
500% of 5 is 25,
600% of 5 is 30,
700% of 5 is 35,
800% of 5 is 40.
So 37 1/2 percent of 5 must be between 700 and 800 percent of 5. We also know that 2.5 is 50% of 5, and 35 + 2.5 = 37.5. So 37 1/2 is 750% of 5
Answer:
Find the prime factorization of 14
14 = 2 × 7
Find the prime factorization of 6
6 = 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 7
LCM = 42
