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- The volume of Earth is on the order of 1021m3 . (a) What is this in cubic kilometers (km3) ? (b) What is it in cubic miles (mi3) ? (c) What is it in cubic centimeters (cm3) ?A city's population in the year x = 1993 was y = 3,042,850. In 1964 the population was 3,044,300. Compute the slope of the population growth (or decline) and choose the most accurate statement from the following: O The population is increasing at a rate of 100 people per year. The population is increasing at a rate of 50 people per year. The population is decreasing at a rate of 50 people per year. The population is decreasing at a rate of 200 people per year. The population is increasing at a rate of 200 people per year. O The population is decreasing at a rate of 100 people per year.Density Here is a simple problem. Then we'll do one that requires a little more thought. The shape of a city is roughly a circle with a radius of 5 miles. If the population density for the city is 10,000 people per square mile, what is the population of the city? 11111 Now here's a problem that will stretch your problem solving skills. This time the city is also in the shape of a circle, but the population density is higher towards the center of the city and lower towards the outskirts. The numbers in the diagram represent miles. The population density is 10,000 people per square mile in the inner circle. In the first ring out from the center the density is 8,000 people per square mile, the second ring out it's 6,000, in the third ring out it's 4,000 and in the largest ring it's only 2,000 people per square mile. Finally, here is a three dimensional problem. Density is defined as weight per unit of volume. So which weighs more, a ball of zinc with a radius of 3 cm, or a ball of…
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- a. A painter uses 4.5 litres of paint to cover a wall with an area of 50 m2. Calculate the average rate of paint coverage in m2/L. b The painter works for 1.5 hours and then rests for half an hour before completing the painting in another hour. Find the average rate at which the painter paints the wall in m2/h.Paperweight I bought a pack of 100 rectangular index cards. Each card measured 15 by 10 cm. The pack said ：Paper Density = 200 GSM (grams per square meter). This means that a square meter of those cards weighs 200 g. A) All of the cards in the pack are place flat on a table without overlap. In square meters, what is the total area of the table covered by the cards? B) Each pack of cards is wrapped in a sheet of 50 GSM paper with an area of 800cm squared. I have a number of packs and wish to store them on a shelf that cannot hold more than 10 kg. What is the largest whole number of wrapped packs that can be stored? C) The total weight of 500 identical sheets of paper is 2.4kg. If each sheet measures 30cm by 20cm, what is its paper density in GSM? D) A business card measures 55mm by 90mm. Its paper density is 300 GSM. Fins its exact weight in grams.This year 116 kangaroos were adopted from a shelter. This is 24 fewer than twice the number that were adopted last year. Write an equation that you can use to find the number of pets adopted last year?
- The population of India can be modeled by the function P(t) = 1462(1 +0.0177) where P(t) measures the population in millions andt represents the number of years since 2000. 1. Using this model, what was the population of India in 2009? 2. Predict the population of India in 2019. 3. If this growth rate continues, in what year will the population of India reach 2 billion people? Hint:Suppose that a population of bacteria for an experiment increases according to the law of exponential growth, i.e. the number of bacteria y changes with respect to time t (in days) according to dy = ry; y(0) = C dt There were 50 bacteria at the start of the experiment and 100 bacteria 5 days after. a) Find the value of r. Round off your answer to four decimal places. b) How many bacteria are there after 8 days of the experiment? Round off your answer to the nearest whole number.A typical human cell is approximately 12.00 μm in diameter and enclosed by a membrane that is 9.000 nm thick. What is the volume of the cell including the membrane? To simplify the calculations, model the cell as a sphere. total volumetotal volume: ? What is the volume of the cell membrane? membrane volume: What percent of the total volume does its membrane occupy? membrane percentage: