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- Solve for x: z=x.Drug doses for dogs are known to scale with their weight. If the weight (W) of the dog is given in kilograms, then to convert from a human drug dose to a drug dose for your dog (in milligrams), you can use the formulaD(W) = 0.0584 * W^2/3 * ℎ where ℎ is the human drug dose in milligrams. 1) What is the drug dose in milligrams if your dog weighs 7 kg and the adult dose of aspirin is 150 mg?Round your answer to the nearest integer. 2) If you gave your dog 28 mg of the aspirin and the adult dose of aspirin is 150 mg, how much does your dog weigh in kilograms?Round your answer to one decimal place.An investment earned interest of $380 during the 10th unit period. If a(t) = 1 + t^2 , find the amount of interest earned during the 6th unit period. The answer given is $220, but I do not know how to get this.
- The total profit (in dollars) from the sale of x cell phones is P(x) = 15x -x² - 70 for 1 .2 4 0You peer around a corner. A velocity raptor 64 meters away spots you. You run away at a speed of 6 meters per second. The raptor chases, running towards the corner you just left at a speed of {\displaystyle 4t}4t meters per second (time {\displaystyle t}t measured in seconds after spotting). After you have run 4 seconds the raptor is 32 meters from the corner. At this time, how fast is death approaching your soon to be mangled flesh? That is, what is the rate of change in the distance between you and the raptor?Solve for x: 1/(x+2)-(1/x)>2.The total cost of manufacturing x units during the daily production run at a factory, isC(x) = x^2 + x + 900 dollars. Usually, x(t) = 25t units are manufactured during the first t hours of production.(a) Express the total manufacturing cost as a function of t.(b) How much will have been spent on production by the end of the third hour?(c) When will the total manufacturing cost reach $11,000?The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) = 250,000 (.8) * where the interval x is measured in decades. What would the population be in 2006?The altitude h (in ft) of a jet that goes into a dive and then again turns upward is given byh = 16t^3 − 240t^2 + 10, 000, where t is the time (in s) of the dive and turn. What is the minimum altitude that the jet reaches during the dive and turn? Use calculus methods to solve this problem, and include units with your answer.By using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age group of width years (x to x+n years) that is show tha nqx = (2*n* nmx) /(2+n*nmx)A person leans over a cliff that is 2000 feet high and throws a rock vertically upward at a speed of 100 ft/sec. When it falls, it barely misses the cliff and falls on the ground at the base of the cliff. The height of the rock (in feet) above the ground t seconds after it was thrown is given by the function f(t) = -16^2 + v0t + s0 where v0 is the initial velocity of the rock and so is the original height of the rock. Therefore f(t)=-16t^2+100t+2000. Determine when the rock will hit the ground at the base of the cliff. What was the maximum height of the rock?A mountain climber uses the model T = 20 – 10h | to estimate the temperature T (in °C) at elevation h (in kilometers, km). (a) Make a table that gives the temperature for each 1-km change in elevation, from elevation 0 km to elevation 5 km. How does temperature change as elevation increases? (b) If the temperature is 5°C, what is the elevation?