It takes three identical water pumps 8 hours to fill a pool. how long would it take four of these same pumps to fill the pool, assuming they all pump at the same rate?

Use the function value to find the indicated trigonometric value in the specified quadrant.function value quadrant trigonometric valuecsc(θ) = −4 iv cot(θ)cot(θ)=?

Need match the functions with correct transformation. f(x) = -3x f(x) = |x-1|+3 f(x) = √(x+3) 1/2x² f(x) = (x+1)²-3 4|x| 1. compress by a factor of 1/2 2. stretch by a factor of 4 3. shift to the left 3 4. shift to the left 1 5. shift up 3 6. reflection

21 a stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. how long are the two pieces?