<span>loga (2) = 0.3812
</span><span>loga (3) = 0.6013
</span><span>loga (5) = 0.9004
</span><span>and we should know that loga a = 1
</span>
∴ loga (30a)³ = 3 loga (30a) = 3 loga (2 * 3 * 5 * a) = 3 ( loga 2 + loga 3 + loga 5 + loga a ) = 3 ( <span>0.3812 + 0.6013 + 0.9004 + 1 )
</span> = 3 * 2.8829 = 8.6487
The correct answer is option <span>C. 8.6487</span>
Hey there!!
Perimeter of a rectangle =2 ( length + width )
Let's take the measure of the width as ' x '
Then, the length would be ' 3x '
Hence,
... 2 ( x + 3x ) = 96
... 2 ( 4x ) = 96
... 8x = 96
... x = 96 / 8
... x = 12
Width = 12 inches
And, length would be 36 inches.
Hope my answer helps!!
1. Living Things are Composed of Cells:
Single-cell organisms have everything they need to be "self-sufficient". In multicellular organisms, specialization increases until some cells do only certain things.
2. Different Levels of Organization:
Living things must be able to organize simple substances into complex ones.
Living things organize cells at several levels:
Tissue - a group of cells that perform a common function.
Organ - a group of tissues that perform a common function.
Organ system - a group of organs that perform a common function.
Organism - any complete living thing
3. Living Things Use Energy:
Living things take in energy and use it, for maintenance and growth.
4. Living Things Respond To Their Environment:
Living things will make changes in response to a stimulus in their environment. A behavior is a complex set of responses.
5. Living Things Grow:
Cell division - the orderly formation of new cells.
Cell enlargement - the increase in size of a cell. Cells grow to a certain size and then divide.
An organism gets larger as the number of its cells increases.
6. Living Things Reproduce:
Reproduction is not essential for the survival of individual organisms, but must occur for a species to survive.
All living things reproduce in one of the following ways:
Asexual reproduction - Producing offspring without the use of gametes.
Sexual reproduction - Producing offspring by the joining of sex cells.
7. Living Things Adapt To Their Environment:
Adaptations are traits giving an organism an advantage in a certain environment.
Variation of individuals is important for a healthy species.
Answer: 3082.2
Step-by-step explanation:
Intersection means elements both have. Both sets have -1 but they have nothing else in common so the intersection is {-1}
Union means combining the sets so {-1, 1, 2, 3, 7} Note that I only wrote 1 twice. No duplicates allowed!
