Given that \(\cot \left(\frac{2\pi }{7}\right)=\tan z\ \), first express \(\frac{2\pi }{7}\) as a difference between \(\frac{\pi }{2}\) and an angle, and then apply a cofunction identity to determine th

The acceleration due to gravity is inversely proportional to the square

The acceleration due to gravity is inversely proportional to the square of the distance from the centre of Earth. The acceleration due to gravity for a satellite orbiting 7000 km above the centre of Earth is 8.2 m/s^2.

I work at a utility company and we often have to calculate resultant force on our distribution lines. Example... If I have a force pulling against a utility pole at 90 degrees and a force pulling against the same pole at 315 degrees (500lbs and 700lb

A distributor has two gasohol blends: one that contains 5.00% alcohol and another with 11.0% alcohol. How many gallons of each must be mixed to make 500 gal of gasohol containing 9.50% alcohol?

Learning how to find the discriminant of a quadratic and its solutions

how do you find the discriminant of a quadratic in standard form? and also find out how many solutions it may have? Is there any steps or rules to make sure your solutions are reasonable

Graph one complete cycle for the following function

Graph one complete cycle for the following function.

y=-3 sin(2x- π/3)

Calculate the period and phase-shift, and find the coordinates of the y-intercept, starting and end point of the cycle. Label your graph’s amplitude, period

Writing an equation for cosine with several hints given

I have to write the equation of the cosine wave whose amplitude is 1.5, has a period of 270°, a phase-shift of -60°, and is reflected about the x-axis.

Suppose that under continuous compounding of interest, the ef

Question Part Points Submissions Used Suppose that under continuous compounding of interest, the effective rate is 7% per annum. Compute the nominal rate. (Round your answer to two decimal places.)

Many income tax systems are calculated using a tiered method. under a certain tax law

Many income tax systems are calculated using a tiered method. under a certain tax law, the first $100000 of earnings are subject to a 35% tax, earnings greater than $100000 and up to $500000 are subject to a 45% tax. Any earnings above $5