<span>Three powers with whole number bases that have values greater than 120 and less than 130 are:
</span>11² = 11 x 11 = 121
<span>5³ = 5 x 5 x 5 =125 </span>
<span>2⁷ = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
</span>
The rational numbers who absolute value is 11 by 13 are recurring decimal fraction.
Step-by-step explanation:
The rational numbers are included in the real numbers. On the other hand, they include the integers, natural numbers. In mathematics, a rational number is any number that can be expressed as the fraction p/q of two integers, a numerator p and a non-zero denominator q.
Absolute value means non-negative number with the same magnitude as a given number. In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.
Rational numbers consists of fractions which are of rational form following recurring and terminating fraction rules.
11 / 13 is a recurring fraction as it's rounded value is 0.846......
Answer with Step-by-step explanation:
We have to prove that
by using Euler's formula
Euler's formula :

By using Euler's identity, we get





Comparing imaginary part on both sides
Then, we get

Hence, proved.
The answer is a+b+c = d it’s is equivalent to a and d
Number of stocks held = 30
Price at which each shares of Lofty Cheese Company bought = 20 1/4
= (81/4) dollars
Price at which each shares of Lofty Cheese Company sold = 25 1/4
= (101/4) dollars
Amount of profit made per share of Lofty Cheese Company = [(101/4 - (81/4)] dollars
= (20/4) dollars
= 5 dollars
Amount of profit made for 30 shares of Lofty Cheese Company = (30 * 5) dollars
= 150 dollars.
So you will make a profit of $150.The correct option in regards to the question given is option "C".