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Evaluate the expression (25 - 4r^(-1) + 222 - 10) for r = 5.

a) 220
b) 226
c) 236
d) 246

User KenEucker
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1 Answer

2 votes

Final answer:

Upon evaluating the expression with r = 5 and rounding to whole numbers, the result is 236, which is closest to option c.

Step-by-step explanation:

To evaluate the expression (25 - 4r^(-1) + 222 - 10) when r equals 5, we first substitute the value of r into the expression:

25 - 4(5)^(-1) + 222 - 10

Perform the exponent operation next:

25 - 4(1/5) + 222 - 10

Multiply the fraction:

25 - 0.8 + 222 - 10

Combine the like terms:

25 - 0.8 + 222 = 246.2

Subtract 10 from the sum:

246.2 - 10 = 236.2

However, since we're not provided with options that include decimal values, we consider that the expression may have been intended to use whole number arithmetic. If we take 4r^(-1) as representing whole numbers only (essentially rounding 4/5), the value is 4. Approximating as whole numbers:

25 - 4 + 222 - 10 = 233

Therefore, the closest answer to the provided options would be 236 (option c).

User Rudster
by
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