Answer:
b Superscript positive
Step-by-step explanation:
Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.
We have
1/b⁻² = b²
Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.
This is the property of exponents.
Answer:
95 degrees
Step-by-step explanation:
The degrees of a pentagon adds up to 540 so just subtract the angles you have from that to get the answer
Answer:
AB = 12
Step-by-step explanation:
Since the triangle is isosceles, the sides AB and BC are congruent. Then you have ...
4x = 2x+6
2x = 6 . . . . . . subtract 2x
4x = 12 . . . . . .multiply by 2
The side AB has length 12.
Answer: it will take 125 additional minutes for both costs to be equal.
Step-by-step explanation:
Let a represent the number of additional minutes that it will it take for the two to be the same.
Company A charges a flat fee of 59.99 a month and .43 additional minutes. This means that the total cost of a additional units would be
0.43x + 59.99
Company B charges 69.99 a month and .35 for additional minutes. This means that the total cost of a additional units would be
0.35x + 69.99
For the cost of the two plans to be the same, it means that
0.43x + 59.99 = 0.35x + 69.99
0.43x - 0.35x = 69.99 - 59.99
0.08x = 10
x = 125
The volume of the balloon is 1441.64cm³.
<h3>How to calculate the volume?</h3>
The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²
The circumference c will be:
= 2πr = 2 × 22/7 × 7
= 44
The volume will be:
= c³/6π²
= 44³/(6 × 3.14²)
= 85284/(59.1576)
= 1441.64
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