John found a recipe online for cupcakes with icing on top. Each cupcake required 0.2 liters of icing. John has 1.5 liters of icing in his fridge to put on cupcakes. How many cupcakes will he able to frost with his 1.5 liters of icing?

What is the solution set of the quadratic inequality x^2-5< or equal to 0

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.