A Model Rocket Is Launched With An Initial Upward Velocity Of 215/fts.

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• a model rocket is launched with an initial upward velocity of 215/fts.

a model rocket is launched with an initial upward velocity of 215/fts. Content Type

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uyyl0626

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Mathematics

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The rocket's height h (in feet) after t seconds is given by the following: h=215t-16t^2. Find all values for t when the rocket's height is at 97 feet

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

We need to find those values of t for which h(t) = 97. This means we have to solve 215*t - 16*t^2 = 97. Subtracting 97 from both sides, we get 215*t - 16*t^2 - 97 = 0. Rearranging terms to get the quadratic in standard form, we get -16*t^2 +215*t - 97. I sure don't know the factors off-hand, but I do know how to find them. The quadratic formula. The general form of a quadratic equation is a*x^2 + b*x + c = 0. For our problem, we have

a = -16, b = 215, and c = -97. From quadratic formula, x = [-b +/- sqrt(b^2 - 4*a*c)]/2*a. Plugging in, we get

x = [-215 +/ sqrt((-215)^2 - 4 * (-16) * (-97))]/(2 * (-16) = [-215 +/ sqrt(46225 - 6208)]/(-32), so

x = [-215 +/ sqrt(40017)]/(-32)

x ~ [-215 +/- 200.043]/(-32) so x ~ (-215 - 200.043)/(-32) or x ~ (-215 + 200.043)/(-32), so

x ~ -415.043/(-32) or x ~ -15.053/(-32).

You can calculate these two positive roots.

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During 2014, Dan and Freida furnished over half of the total support of each of the following individuals, all of whom still live at home: a. Gina, their daughter, age 22, a full-time student, who married on December 21, 2014, has no income of her own and for 2014 did not file a joint return with her husband, Casey, who earned $10,600 during 2014. Gina’s social security number is 123-45-6788. b. Sam, their son, age 20, who had gross income of $6,300 in 2014, dropped out of college in October 2014. He had graduated from high school in May 2014. Sam’s social security number is 123-45-6787. c. Ben, their oldest son, age 26, is a full-time graduate student with gross income of $5,200. Ben’s social security number is 12304506786.Dan was employed as a manager at WJJJ, Inc. (employer ID number is 11-111), 604 Franklin Street, Corbin KY 40702), and Freida was employed as a sales-person for Corbin Realty, Inc. (employer ID number is 98-7654321, 899 Central Street, Corbin, KY 40701). Selected Information from the W-2 forms provided by the employers is presented below. Dan and Freida use the cash method.Line Description Dan Freida1 Wages, tips, other compensation $74,000 $86,0002 Federal Income tax withheld $11,000 $12,40017 State income tax withheld $2,960 $3,440Freida sold a house on 12/30/2014 and will be paid a commission of $3,100 (not included in the $86,000 reported on the W-2) on the January 10, 2015 closing date. Other income (as reported on 1099 Forms) for 2014 consisted of the following:Dividends on CSX stock (qualified) $4,200Interest on savings at Second Bank 1,600Interest on City of Corbin bonds 900Interest on First Bank CD 382The $382 from First Bank was original issue discount. Dan and Freida collected $16,000 on the First Bank CD that matured on September 30, 2014. The CD was purchased on October 1, 2012, for $14,995, and the yield to maturity was 3.3%Dan received a schedule K-1 from the Falcon partnership, which showed his distributive share of income as $7,000. In addition to the above, Dan and Freida’s itemized deductions included the following:Paid on 2014 Kentucky income tax $700Personal property tax paid 600Real estate taxes paid 1,800Interest on home mortgage (Corbin S&L) 4,900Cash contributions to the Boy Scouts 800Sales tax from the sales tax table is $1,860. Dan and Freida made Federal estimated tax payments of $8,000. The Kentucky income tax rate is 4%.Tax Computation:Compute Dan and Freida’s 2014 Federal income tax payable (or refund due).Using tax forms for your computations you will need 1040 and schedules A,B, and E.Attach separate document showing any work done in order to complete forms 5 pages 20200511230215project 1 2 2 Use the following scenario to answer questions #1 – 7 in the space provided. 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Include the following in your post:A brief description of the published article you selected, including:research question,dataset used, andsource of the data.An explanation of your position on the use of big data for health care. Do you think that analyzing and using big data in health care can provide crucial answers and lead to great innovation and breakthroughs?To what extent do you think that privacy and data security concerns and the potential misuse of data outweigh the potential advantages? Justify your position.Using examples, describe how local health authorities can use secondary data sources in their jurisdictions.Support your post based on the Learning Resources and current literature. Use APA formatting for your Discussion and to cite your resources. ResourcesLee, C., Famoye, F., Shelden, B., & Brown, A. (n.d.a). Data manipulation. SPSS On-Line Training Workshop. Retrieved from http://calcnet.mth.cmich.edu/org/spss/data_manipulation.htmHellerstein, J. M. (2008). Quantitative data cleaning for large databases. Retrieved from http://db.cs.berkeley.edu/jmh/papers/cleaning-unec... Anticipated Salary Tom has just received a new job offerHe told that his salary will be $75,000.00 per yearHe is also told that his salary wi ... Anticipated Salary Tom has just received a new job offerHe told that his salary will be $75,000.00 per yearHe is also told that his salary will probably be $81,000.00 in four yearsWe will use this data to try to anticipate his future earnings in any given yearAssume that y= Tom's salary amount in dollars and X = the number of years workedUse the date given to find the rate of change, or the salary increase per year (hint: compute the slope)We are now going to use a line model Tom's salary growthUse the data given and the slope value from step 1 to write the slope- intercept form of the lineBased on your equation from step 2, what will Tom's salary be in ten yearsRemember to type and save your assignment as a Microsoft Word documentShow all your steps and use Microsoft equation editor to render all of your algebraic expression View the slideshow assignment above. After completing the review of the slideshow, answer all three parts of the assignment. Remember to type and save your assignment as a Microsoft Word document and show all your work. View more Earn money selling your Study Documents Sell Documents

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