(iii) The volume of air, V mL , in a spherical balloon at time t seconds, is decreasing dV at a rate proportional to V. That is, = -kV , where k is a positive constant. dt Initially the balloon held 1000 mL of air and the air was escaping at a rate of 50 mL/s . (a) Show that k = 20 Calculate the volume of air in the balloon after 30 seconds. Give your answer correct to the nearest mL . (b) (c) Determine the time taken for the volume of the air in the balloon to reduce to 300 mL.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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