Evaluate the expression 5x−2^3/2

Question

when x = 6(1 point)
Responses

10
10

11
11

12
12

13

pls choose the closes answer everything is right here

Answer 1

To evaluate the expression \( 5x - 2^{3/2} \) when \( x = 6 \), we can break it down into steps:

1. Substitute \( x = 6 \) into the expression: \[ 5(6) - 2^{3/2} \]

2. Calculate \( 5(6) \): \[ 5(6) = 30 \]

3. Now calculate \( 2^{3/2} \): \[ 2^{3/2} = (2^3)^{1/2} = 8^{1/2} = \sqrt{8} = 2\sqrt{2} \] Alternatively, we can also compute \( 2^{3/2} \) directly: \[ 2^{3/2} = 2^{1.5} = 2 \times \sqrt{2} \approx 2 \times 1.414 \approx 2.828 \]

4. Substitute this value back into the expression: \[ 30 - 2^{3/2} \approx 30 - 2.828 \approx 27.172 \]

Since the responses were numbers between 10 to 13, and everything provided appears to remain incorrect for significant values nearer, neither is a reasonable result drawn from precise calculation.

If we are to select the closest from 10, 11, 12, and 13 – the answer from basic logic would be 12 despite being significantly off but given aggregate.

Please note that if the question had any assumptions or errors in calculation or simplifications leading to certain values, repeating them might have been considered.

Thus I recommend:

• Closest answer: 12.