Answer:
Step-by-step explanation:
The max value that this function reaches is 6, and the function reaches this value repeatedly, beginning at x = 0 and then at x = 6, 12, 15, etc. This tells us that the period of the function is 6.
The function is increasing on (3, 6), (9, 12), and so on
The function is even because the graph is symmetrical about the y-axis.
The information provided is that you have smaller cubes that measure 1 cm on either of the three sides. In order words if you lie each cube side by side you would have the length/width/height of the indicate sides.
For a cube made up of 27 smaller cubes, you can determine the length of each side by factoring the entire size provided. That means for a cube made up of 27 smaller cubes you would have;

This means you would have 3 smaller cubes on the length, 3 smaller cubes on the width and 3 smaller cubes on the height.
Therefore, if you now have 150 of the smaller cubes, by factoring this you would have the following possibility;

This means you would have one side (length) 6 cubes, on another side (width) 5 cubes and on the third side (height) 5 cubes.
That means with 150 smaller cubes you could make a cube with the dimensions,

ANSWER:
The largest big cube you could make would be a 6 cm by 5 cm by 5cm big cube
Answer:
<em>Answer below</em>
Step-by-step explanation:
<u>Arithmetic Sequences
</u>
They can be identified because any term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The formula to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
Suppose we know the 4th term (n=4) of a sequence is 25:

Simplifying:
a1 + 3r = 25
We can choose any combination of a1 and r to satisfy the equation above.
Solving for a1:
a1 = 25 - 3r
a)
Choosing r = 3:
a1 = 25 - 3*3 = 16
The sequence is:
16, 19, 22, 25, ...
And the term rule is:

Choosing r=8
a1 = 25 - 3*8 = 1
The sequence is:
1, 9, 17, 25, ...
The term rule is:

Choosing r=-10
a1 = 25 - 3*(-10) = 25 + 30 = 55
The sequence is:
55, 45, 35, 25, ...
The term rule is:

Answer:
A. 1200
Step-by-step explanation:
Since 10 times 3 is 30, then 400 times 3 is 1200. Hope I helped!