6 sin^2(x) - 7 cos^2(x) = 1 Find the numerical value of csc^2(x)

6 sin^2(x) - 7 cos^2(x) = 1 Find the numerical value of csc^2(x)

A person is ordered by a doctor to take 11 units of vitamin A, 8 units of vitamin D, and 7 units of vitamin E each day. There are three brands of vitamin supplement available: brand X contains...

The distance that an object falls from rest, when air resistance is negligible, varies directly as the square of the time. A stone dropped from rest travels 144 feet in the first 3 seconds. How far...

Four more than twice a number is less than negative eighteen

How long would it take for both values to be equal?

A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a constant altitude of 100 feet, passes over an intersection. Find an expression for the distance d (measured...

When a boy pulls his sled with a rope, the rope makes an angle of 35 with the horizontal. If a pull of 16 pounds on the rope is needed to move the sled, what is the horizontal component force?

Ovida Fentz hits a baseball at 60 miles per hour. The closest fence is 250 feet away and 4 feet high. Ovida hits the ball when it is 3 feet off the ground.

Money is invested with continuous compounding, and triples in time t. Express the interest rate, a decimal, as a function of t. Interest rate as a function of tripling time

This question has two parts. Alice invests $5000 at Bob's bank and $8000 at Charlie's bank. Bob compounds interest continuously at a nominal rate of 8%. Charlie compounds interest continuously...

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. r = 2 inches, s = 20 inches

The position of an object is given by x(t)=4/7(1- e^-7t) 1.) What value does the position approach after a very long time? 2.) How long does it take to get halfway between the start...

Alice makes an initial investment on September 1, 2000 into a bank account on that compounds continuously at an unknown rate. On September 1, 2002, the balance was $270.00. On September 1,...

sqrt(8+2e^10x) = 7 e^5x

You are standing 125 feet from a 55 foot tall building. What is the approximate angle of elevation from your location to the top of the building?

The 40 Watt can sell 80 shirts per concert if they charge $20 per shirt. They are able to sell 5 fewer shirts for every additional dollar they charge. Assuming the number of shirts they can sell is...

what is the domain of (sqrt(?x)+?5)/ (x^2 -6x +8) in interval notation?

Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 5.3 feet per second. Find a function, d(t),...

f(x)=4x-2, g(x)=7x+5. Find (fg)(x).

Find (f-g)(-3) when f(x)=3x^2-4 and g(x)=x+7.

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