Answer:
The statement is false.
Step-by-step explanation:
Let a and b represent two odd integers.
The average (A) is defined by:
A=
In order to prove the statement, you have to show that it's true for all odd integers. But, to disprove it, you just have to find a counterexample where the statement is false.
Notice that it is easier to try to find a counterexample.
For example, a=3 and b=5
A= 
The result of the average is even, therefore the statement is false.
The previous calculation is a counterexample.
Answer:
<em>The compound inequality that shows the voltage amount the necessary range is 
</em>
Step-by-step explanation:
Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.
That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.
Suppose, the amount of voltage is 
volts to make the experiment work correctly.
Now, Voltage amount is greater than 3.5 volts means: 
or 
and voltage amount is less than 7.2 volts means: 
Thus, the compound inequality by combining the above two inequalities will be:
Answer:
30 square feet.
Step-by-step explanation:
We have to find the main area of the rectangle to determine the changes.
We know, Area of a rectangle = Length × Width
Given,
Length = 12 feet
Width = 5 feet
Therefore, the area of the rectangle = (12 × 5) Square feet.
The area of the rectangle = 60 square feet.
Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.
If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.
The new area of that rectangle = (15 × 6) square feet = 90 square feet.
The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.
Answer:
This is a geometric sequence with a common ratio of -4
Step-by-step explanation:
Take the second term and divide by the first term
-4/1 = -4
Take the third term and divide by the second term
16/-4 = -4
Take the fourth term and divide by the third
-64/16 = -4
This is a geometric sequence with a common ratio of -4
Answer : 2/3 or 0 R 6
Step-by-step explanation:
hope it helps
