Final answer:
The quotient in the expression 5.3t - (20÷4) 11 is obtained by dividing 20 by 4. For the quadratic equation t² + 10t - 2000, rearrange it to t² + 10t - 2000 = 0 and use the quadratic formula to solve for t.
Step-by-step explanation:
In the expression 5.3t - (20÷4) 11, the part (20÷4) is considered the quotient because it involves the division of 20 by 4. A quotient is the result of division. To solve this expression, first, carry out the division: 20÷4 equals 5. Then you can multiply 5 by 11 to continue simplifying the expression. Now, to address the quadratic equation t² + 10t - 2000, rearrange it as t² + 10t - 2000 = 0 to prepare for solving via the quadratic formula. The quadratic formula for solving equations of the form at² + bt + c = 0 is t = (-b ± √(b² - 4ac))/(2a), where a, b, and c are constants in the equation.