Question
A) An engineer is constructing a Newton's pendulum using a frame that weighs 15 kilograms and steel balls that weigh 13 kilograms each. Let \( b \) represent the number of steel balls used and \( w \) represent the total weight of the pendulum. Use the function \( w=13 b+15 \) to find the value of \( w \) when \( b=5 \). \( w=\square \)
Ask by Weber John. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( w = 80 \) kilograms
Solution
To find the total weight \( w \) of the pendulum when \( b = 5 \) steel balls are used, substitute \( b = 5 \) into the given function:
\[
w = 13b + 15
\]
\[
w = 13(5) + 15
\]
\[
w = 65 + 15
\]
\[
w = 80
\]
**\( w = 80 \) kilograms**
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To find the total weight \( w \) when \( b = 5 \), we can substitute \( b \) into the equation \( w = 13b + 15 \). So, \( w = 13(5) + 15 \) Calculating that gives: \[ w = 65 + 15 \] \[ w = 80 \] Thus, \( w = 80 \).
