There are 6 cubes in the last figure. Just count them
The volume of each cube individually is 1 so 6 * 1 = 6 units cubed
Answer:
Step-by-step explanation:
In choices a and b, the bases are positive numbers greater than 1, and so these are growth functions. In c and d, the bases are between 0 and 1, and thus these are decay functions.
In the second problem we have 3ln(x + 1). Rewrite this as ln(x + 1)^3.
We also have 9ln(x - 4). Rewrite this as ln(x - 4)^9.
Because of the + sign connecting ln(x + 1)^3 and ln(x - 4)^9, these two logs combine to form
ln [ (x + 1)^3 ] * (x - 4)^9 (the log of a product).
Now we have:
ln [ (x + 1)^3 ] * (x - 4)^9 - 4ln(x + 7), or:
[ (x + 1)^3 ] * (x - 4)^9
ln ------------------------------------
(x + 7)^9
Answer:
The answer is 1800.
Step-by-step explanation:
3/540 = 10/x
3x = 540 × 10
x = 5400/3
x = 1800
Answer:
<h2>b. 1.2 in</h2>
Step-by-step explanation:
The formula of a circumference:
<em>d</em> - diameter
We have <em>C = 3.75 in</em><em>.</em>
Substitute:
Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
