answer:The Euler totient function, phi(n), counts the number of positive integers less than n that are coprime to n. To compute phi(11435), we factorize 11435 into its prime factors. 11435 = 5 times 7 times 329 Now, we apply the formula for the Euler totient function for a product of distinct primes: phi(n) = n cdot left(1 - frac{1}{p_1}right) cdot left(1 - frac{1}{p_2}right) cdots left(1 - frac{1}{p_k}right) Where p_1, p_2, ldots, p_k are the distinct prime factors of n. So, phi(11435) = 11435 cdot left(1 - frac{1}{5}right) cdot left(1 - frac{1}{7}right) cdot left(1 - frac{1}{329}right) phi(11435) = 11435 cdot frac{4}{5} cdot frac{6}{7} cdot frac{328}{329} phi(11435) = 9144 The Euler totient function of 11435 is 9144.

answer:The original question and answer contain several errors. First, the value of x given in the question is -22, but the answer uses x=-2. Second, the answer incorrectly states that tan (5153637) = -2.865. This is not a valid mathematical expression, as the tangent function is not defined for complex numbers. To evaluate the function f(x)=tan (5-x^5) at the point x=-2, we can simply substitute the value of x into the function and evaluate. f(-2) = tan (5-(-2)^5) = tan (51) = 1.2799 Therefore, the correct answer is tan (51) = 1.2799. The answer is tan (51) = 1.2799

answer:To calculate the taxable income for this year, follow these steps: 1. Start with the gross income: Gross income = 540,000 2. Subtract the cumulative net losses from the previous two years: Net loss (second year) = 95,000 Net loss (first year) = 70,000 Total net losses = 95,000 + 70,000 = 165,000 3. Adjust the gross income by the total net losses: Adjusted income = Gross income - Total net losses Adjusted income = 540,000 - 165,000 = 375,000 4. Deduct the current year's deductions: Deductions = 274,000 5. Calculate the net taxable income: Net taxable income = Adjusted income - Deductions Net taxable income = 375,000 - 274,000 = 101,000 Therefore, your taxable income for this year is 101,000.

answer:When two lines have different slopes, they will intersect at a single point, resulting in one solution. If the lines have the same slope and different y-intercepts, they will be parallel and never intersect, resulting in no solution. If the lines have the same slope and the same y-intercept, they will be coincident and have infinitely many solutions. To determine the number of solutions to a linear system, we can compare the slopes of the lines represented by the equations. First, we rearrange both equations into slope-intercept form (y = mx + b): x + 5y = 1 5y = -x + 1 y = (-1/5)x + 1/5 -3x + 4y = 16 4y = 3x + 16 y = (3/4)x + 4 Now, we can compare the slopes of the two lines, which are -1/5 and 3/4. Since the slopes are different, the lines are not parallel and will intersect at exactly one point. Therefore, the system of equations has one solution.