(1 point) A radioactive substance has a halflife of 84 days. A sample has a mass of 140 mg initially. Find a formula for the mass remaining after 1 days. Mass remaining after t days is === mg Find the mass remaining after 144 days. Mass remaining after 144 days is mg The decay rate is minus one times the rate of change of the mass. What is the rate of decay after 144 days? Decay rate after 144 days is EEE mg/day How long does it take the sample to decay to a mass of 50 mg? Sample will decay to 50 mg after === days (1 point) A bacteria culture grows at a rate proportional to the current size. The bacteria count was 900 after 3 hours and 4700 after 5 hours. Find the relative growth rate, (rate of change of size) divided by (size). Relative growth rate is 1/2|n(9/47) EEE per hour What was the initial size of the culture? Initial size was 300/(|n(3/(47A(1/2)))) iii bacteria Find a formula for the size of the culture after 1' hours. Alter 1' hours, size will be 363e'\\(0.8265(t)) ::: bacteria Find the number of bacteria after 4.5 hours. bacteria After 4.5 hours there will be I 14968 E Find the rate of growth after 4.5 hours. After 4.5 hours the rate of growth will be bacteria per hour When will the population reach 5300? The population will reach 5300 after 324 H: hours Results for this submission Entered Answer Preview Result 0.0247574 0.0247574 meters per minute meters per minute correct At least one of the answers above is NOT correct. (1 point) Suppose that water is stored in a cylindrical tank of radius 6 m. It the height of the water in the tank is h, then the volume of the water is V = 77.7% = 367111 m2. If we drain the water at a rate of 280 liters per minute, what is the rate at which the water level inside the tank changes? (Note that 1 cubic meter contains 1000 liters.) The water level changes at a rate of 00247574 EEE meters per minute V Note: You can earn partial credit on this