Answer:
A
Step-by-step explanation:
Just subtract the smaller volume from the larger:
10 × 10 ×15 - 7 × 9 × 12
First you would multiply 10 × 10 × 15 = 1500 and then multiply 7 × 9 × 12 = 756.
After you would subtract 1500 - 756 which would give you 744
I hope that helped!
Answer:
a) The estimates for the solutions of
are
and
.
b) The estimates for the solutions of
are
and
Step-by-step explanation:
From image we get a graphical representation of the second-order polynomial
, where
is related to the horizontal axis of the Cartesian plane, whereas
is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:
a) 
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
b) 
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
Answer:
The error is at step (3) .
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Given:
The given expression is:

According to Kylie,


To find:
The correct statement for Kylie's explanation.
Solution:
We have,

According to the perfect square trinomial
.


Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.