Which is a sum of cubes?

a3 + 18
a6 + 9
a9 + 16
a12 + 8

ANSWER

EXPLANATION

Consider the constants, 18,9,16, and 8.

The only number that is a perfect cube among these numbers is 8.

We can rewrite

as

Therefore the correct choice is is D.

Step-by-step explanation:

Given :

To Find : Which is a sum of cubes?

Solution :

1)

Since 18 is not a perfect cube

So,   is not a sum of cubes

2)

Since 9 is not a perfect cube

So,   is not a sum of cubes

3)

Since 16 is not a perfect cube

So,   is not a sum of cubes

4)

Since 8 is a perfect cube

Cube root of 8 is 2

=

So,   is a sum of cubes.

Hence   is a sum of cubes

We have been given a graph which describes temperature of pizza ( in degree Celsius) as a function of time (in minutes).

We can see that time is independent variable and temperature is dependent variable as it depends on time.  

Let us find when temperature of pizza will reach 0 degree Celsius. We can find the time when temperature will be 0 degrees by finding when y is zero.  

We can see that initial temperature of pizza is about -6 degree Celsius. As time is increasing temperature of pizza is also getting less negative and it is approaching to zero.        

At t= 0.75 minutes our function h(t) equals zero. Therefore, it will take 0.75 minutes the pizza to reach 0 degree Celsius.