Answer:
All integers are rational numbers
Step-by-step explanation:
Since any integer can be written as the ratio of two integers, all integers are rational numbers. Remember that all the counting numbers and all the whole numbers are also integers, and so they, too, are rational.
Answer:
0.375 feet-lb
Step-by-step explanation:
We have been given that the work required to stretch a spring 2 ft beyond its natural length is 6 ft-lb. We are asked to find the work needed to stretch the spring 6 in. beyond its natural length.
We can represent our given information as:
We will use Hooke's Law to solve our given problem.
Substituting this value in our integral, we will get:
Using power rule, we will get:
We know that 6 inches is equal to 0.5 feet.
Work needed to stretch it beyond 6 inches beyond its natural length would be
Using power rule, we will get:
Therefore, 0.375 feet-lb work is needed to stretch it 6 in. beyond its natural length.
WhenWhen we divide 8x⁴ - 6x³ + 2 by 2x² + 3 The result obtained is 4x² - 3x - 6 remainder 9x + 20
<h3>What is quotient?</h3>
Quotient is the result obtained when division operation is carried out.
For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3
<h3>How to divide 8x⁴ - 6x³ + 2 by 2x² + 3 </h3>
To divide 8x⁴ - 6x³ + 2 by 2x² + 3, we shall apply the long division method. This is illustrated below:
<u> </u><u> </u><u>4</u><u>x² </u><u>-</u><u> </u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u> </u>
<u>2x² + 3 </u>| 8x⁴ - 6x³ + 2
<u> -(8x⁴ + 12x²)</u>
-6x³ - 12x² + 2
<u> -(-6x³ - 9x) </u>
-12x² + 9x + 2
<u>-(-12x² - 18)</u>
9x + 20
Thus, the result obtained when we divide 8x⁴ - 6x³ + 2 by 2x² + 3 is 4x² - 3x - 6 remainder 9x + 20
Learn more about quotient:
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Answer:
I understand it very well