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If 153=2(z+z)n, then what is the value of 2n(2z)-193 ? Choose 1 answer: (A) -113 (B) -40 (C) 40 (D) 113

If 153=2(z+z)n 153=2(z+z) n , then what is the value of 2n(2z)−193 2 n(2 z)-193 ?\newlineChoose 11 answer:\newline(A) −113-113\newline(B) −40-40\newline(C) 4040\newline(D) 113113

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Full solution

Q. If 153=2(z+z)n 153=2(z+z) n , then what is the value of 2n(2z)−193 2 n(2 z)-193 ?\newlineChoose 11 answer:\newline(A) −113-113\newline(B) −40-40\newline(C) 4040\newline(D) 113113
  1. Divide by 44: Now, let's solve for znzn by dividing both sides of the equation by 44.\newlinezn=1534zn = \frac{153}{4}\newlinezn=38.25zn = 38.25
  2. Find 2n(2z)2n(2z): Next, we need to find the value of 2n(2z)2n(2z). Since we know znzn, we can multiply it by 22 to find 2n(2z)2n(2z).
    2n(2z)=2×zn2n(2z) = 2 \times zn
    2n(2z)=2×38.252n(2z) = 2 \times 38.25
    2n(2z)=76.52n(2z) = 76.5
  3. Subtract 193193: Now, we subtract 193193 from the value of 2n(2z)2n(2z) to find the answer to the problem.\newline2n(2z)−193=76.5−1932n(2z) - 193 = 76.5 - 193\newline2n(2z)−193=−116.52n(2z) - 193 = -116.5

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