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Question: Solve the given problems by determinants. Set up appropriate systems of equations. All numbers are accurate to at least two significant digits.
In a laboratory experiment to measure the acceleration of an object, the distances traveled by the object were recorded for three different time intervals. These data led to the following equations:
s0 + 2v0 + 2a = 20
s0 + 4v0 + 8a = 54
s0 + 6v0 + 18a = 104
Here ,s0 is the initial displacement (in ft), v0 is the initial velocity (in ft/s), and a is the acceleration (in ft/s2) Find s0, v0 and a.
How do you solve a system of linear equations by substitution? Give an example and explain.
How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
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Write a piecewise-defined function that gives the cost C(n) for a museum visitor who is n years old. What is the range of the function
how many seconds after the rock is thrown will it reach maximum height, and what is that height in meters? how many seconds after the rock is thrown will it reach the ground?
Find the margin of error and the 95% confidence interval for the survey. Give your answers as percentages rounded to the nearest tenth of a percent. What is the margin of error? The 95% confidence interval is from ____ to ____ percent?
Can this phenomenon help to explain the existence of unemployment? Explain in a paragraph.
Explain how regression and analysis can be used to test a Survey?
Important information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting
If the temperature is 35oF, what wind speed makes it feel like 25oF? If the temperature is 25oF, what wind speed makes it feel like 12oF?
A fair die is rolled five times. Calculate the probability of obtaining exactly two 1s. (Round your answer to four decimal places.)
on a certain anxiety questionnaire the population is known to have a mean of 12 and a standard deviation of 2.3. a
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