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Giải bài 66 trang 51 sách bài tập toán 11 - Cánh diều

Tốc độ của gió S (dặm/giờ) gần tâm của một cơn lốc xoáy được tính bởi công thức

🉐Tổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Cánh diều

Toán - Văn - Anh - Lí - Hóa - Sinh
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Đề bài

Tốc độ của gió S (dặm/giờ) gần tâm của một cơn lốc xoáy được tính bởi công thức: \(S = 93\log d + 65,\) trong đó d (dặm) là quãng đường cơn lốc xoáy đó di chuyển được.

(Nguồn: Ron Larson, Intermediate Algebra, Cengage)

Tính quãng đường cơn lốc xoáy đã di chuyển được, biết tốc độ của gió ở gần tâm bằng 140 dặm/giờ (làm tròn kết quả đến hàng phần mười).

Phương pháp giải - Xem chi tiết

Từ công thức \(S = 93\log d + 65,\) đế suy ra quãng đường cơn lốc xoáy đã di chuyển được.

Lời giải chi tiết

Ta có: \(S = 93\log d + 65 \Rightarrow \log d = \frac{{S - 65}}{{93}} \Rightarrow d = {10^{\frac{{S - 65}}{{93}}}} = {10^{\frac{{140 - 65}}{{93}}}} \approx 6,4\) (dặm).Vậy quãng đường cơn lốc xoáy đã di chuyển được là 6,4 (dặm).

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