Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
The answer would be E because as you may know, 10 mm is equal to 1 cm. So, 230 mm³ is equal to 23 cm³.
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.
Hope this helps!
Using the Pythagoras theorem
8^2 = 5^2 + x^2 where x = 1/2 length of the base
x^2 = 64-25 = 39
x = = sqrt39 = 6.24
so base length = 2*6.24 = 12.5 cm to nearest tenth
