Answer:

Step-by-step explanation:
The given equation is

We take logarithm of both sides to base 10.


We expand the brackets to get;

Group similar terms;




To the nearest hundredth.

Answer:
The correct option is B
(-1)(1/2)(-1)(1)
Step-by-step explanation:
First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).
Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.
It is now between options B and C.
Option B, by inspection is simply 1/2
Option C is 12/4 = 3
The problem itself is 12/35
12/24 = 1/2
12/36 = 1/3
Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.
Answer:
d
Step-by-step explanation:
the answer is d because if you do 3+2 it equals 5 so therefore it is b
C: 6n
Product means multiplication
Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:



The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is



The volume of a prism is:

Where, B is the base area and h is the height of the prism.


The volume of combined figure is:



Therefore, the volume of the figure is 381 cubic in.