This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Calister, unaendelea na swali la kwanza lakini kwa namba tofauti. Nitachukulia unataka kukokotoa P wakati t=2, kama ilivyokuwa kwenye swali la awali. Swali: Tunapewa formula ya idadi ya samaki P baada ya miaka t: P = 45.28 × (1.346)^t Tunahitaji kukokotoa idadi ya samaki wakati t=2 na kutoa jibu la mwisho kwa nambari nzima iliyo karibu. Step 1: Badilisha thamani ya t=2 kwenye formula. P = 45.28 × (1.346)^2 Step 2: Tumia logariti kurahisisha hesabu. Chukua logariti ya pande zote mbili: P = (45.28 × (1.346)^2) Tumia sheria za logariti (ab) = a + b na (a^n) = n a: P = 45.28 + (1.346)^2 P = 45.28 + 2 1.346 Kutoka kwenye jedwali la logariti (au kikokotoo): 45.28 ≈ 1.6559 1.346 ≈ 0.1290 Badilisha thamani hizi: P = 1.6559 + 2 × 0.1290 P = 1.6559 + 0.2580 P = 1.9139 Step 3: Tafuta antilogariti ili kupata thamani ya P. P = antilog(1.9139) P ≈ 82.02 Step 4: Zungusha jibu la mwisho kwa nambari nzima iliyo karibu. Idadi ya samaki ni takriban 82. Jibu la mwisho ni: 82 That's 2 down. 3 left today — send the next one.