<h3><u>
Answer:</u></h3>
- The simplified form of (4m3)2 is 24m.
<h3><u>
Step-by-step explanation:</u></h3>
- (4m3)2
- => 4 x m x 3 x 2
- => 24m
<h3><u>Conclusion:</u></h3>
Therefore, the simplified form of (4m3)2 is 24m.
Hoped this helped.
Answer:
-b + 5
Step-by-step explanation:
translation
Answer:
(x + 13, y + 7)
Step-by-step explanation:
Hello there!
In order to find what the translation rule is, we need to find how much it move to the right/left and up/down
In this case, the line segment VW moved up 7 and to the right by 13
We can get this by checking how far apart the points are
I checked how far apart V and V prime
(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)
V is 13 units to the left of V prime and 7 units below V prime
This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units
So, the translation rule is (x + 13, y + 7)
*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*
<span>1 - All real numbers are rational numbers. FALSE
All real numbers are NOT rational numbers. The real numbers are made up of rational numbers and irrational numbers.
2 - Some rational numbers are natural numbers. TRUE
All natural number are rational numbers but not all rational numbers are natural numbers. Thus, some rational numbers are natural numbers.
3 - No real numbers are irrational numbers. FALSE
</span><span>The real numbers are made up of rational numbers and irrational numbers.
Thus, some real numbers are natural numbers.
4 - All whole numbers are integers. TRUE
The whole numbers are the natural numbers plus 0. The integers comprises of the whole numbers plus the negative of the whole numbers.
Thus, all whole numbers are integers.
5 - Some integers are natural numbers. TRUE
</span>The integers comprises of the whole numbers plus the negative of the whole numbers. <span><span>The whole numbers are the natural numbers plus 0. The natural numbers are the counting numbers, i.e. 1, 2, 3, . . . which are also part of integers.
Thus, some integers are natural numbers.
</span>6 - No rational numbers are integers.
FALSE
The rational numbers are made up of the integers and any number that can be expressed as a fraction.</span>
Thus, all integers are rational numbers and some rational numbers are integers.
Again, a spreadsheet or suitable calculator makes this short work.
The sum is 184.
_____
The terms being summed are ...
2·3² +3 = 2·9 +3 = 18 +3 = 21
2·4² +3 = 35
2·5² +3 = 53
2·6² +3 = 75
Their total is
21 +35 +53 +75 = 184
