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1) Calculate the integralsa) integral of (x^3/2 -5x)/(sqrt(x))b) integral of ((x^3 +x)^10 * (3x^2+1))2) Starting with 500 bacteria ,a colony grows with a rate proportionnal to its total . It has 800 bacteria after 3 hoursa) Determine the expression that gives the number of bacteria in function of time b) What is the number of bacteria after 4 hours?c) How much time is necessary for having 30 000 bacteria?
To make an open-top rectangular box, a 3 inch by 5 inch rectangular sheet of cardboard has congruent squares cut from each corner. What are the dimensions of the maximum volume, and what is the volume of that box?
Write and solve an inequality to find the possible number of times you can have Dream Pools clean your pool within your budget. Show your work and explain your thinking.
A high school graduating class is made up of 360 students. There are 118 more girls than boys . How many boys are in the class?
Selena left an 18% tip for a meal. The total cost of the meal, including the tip, was $40.71. What was the cost of the meal before the tip was added?
A box has 100 numbered balls in it, 30 black and 70 red. Four are picked at random. What is the probability that there are at least two red balls?
create a correlation table for the variables in our data set. use analysis toolpak function correlation.a. interpret
Answer the following questions about the standard normal random variable Z. (Use 4 decimal places in your answers to parts a. through, What is the 97.5th percentile of the standard normal distribution?
A manufacture has been selling 1200 television sets a week at $420 each. A market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. How would you find out the rebate that would max..
A function f is continuous on interval [1,3]. A horizontal line is drawn somewhere between the lines y=f(1) and y=f(3). According to the intermediate value theorem, how many times is such a line guaranteed to intersect the graph of f(x)?
Determine q such that the system-Has no solution
assume that a random sample is used to estimate a population p. find the margin of error e that corresponds to the
practice question 1in the table below there are 25 different fuses that will are supposed to trip at 30 seconds when
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