document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388654>Question 388654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have selected 10 problems i am having trouble with if anyone could PLEASE help i would be so grateful. thank you so much :)\r<BR>\n" );
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document.write( " Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term.<BR>\n" );
document.write( "&#8722;5 + 12n\r<BR>\n" );
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document.write( "&#8722;5 + 10n\r<BR>\n" );
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document.write( "5 + 10n\r<BR>\n" );
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document.write( "5 + 12n\r<BR>\n" );
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document.write( "Q2)  What is the measure of the angle &#952; in the triangle shown?\r<BR>\n" );
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document.write( "&#952; 31.07\r<BR>\n" );
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document.write( " &#952; 58.93\r<BR>\n" );
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document.write( " &#952; 62.70\r<BR>\n" );
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document.write( " &#952; 27.30\r<BR>\n" );
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document.write( "Q3)  Solve 3 tan x &#8722;&#8730;3 = 0.<BR>\n" );
document.write( "x = &#960;/6 + n&#960;\r<BR>\n" );
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document.write( " x = &#960;/6 or x = 7&#960;/6\r<BR>\n" );
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document.write( " x = &#960;/6 + 2n&#960;\r<BR>\n" );
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document.write( " x = &#8730;2 or x = &#8730;3\r<BR>\n" );
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document.write( "Q4)  Two terms of an arithmetic sequence are a8 = 76 and a28 = 296. Find a rule for the nth term.<BR>\n" );
document.write( "&#8722;12 + 11n\r<BR>\n" );
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document.write( " 12 + 13n\r<BR>\n" );
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document.write( " 12 + 11n\r<BR>\n" );
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document.write( " &#8722;12 + 13n\r<BR>\n" );
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document.write( "Q5)  MONSTER TRUCKS A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 8 feet and a horizontal length of 28 feet. What is the angle &#952; of the ramp? Round your answer to the nearest integer, if necessary.<BR>\n" );
document.write( "&#952; 16\r<BR>\n" );
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document.write( " &#952; 14\r<BR>\n" );
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document.write( " &#952; 12\r<BR>\n" );
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document.write( " &#952; 10\r<BR>\n" );
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document.write( "Q6)  Solve cos x &#8722; 1 = 0 on the interval 0 &#8804;x &#8804; &#960;/2.<BR>\n" );
document.write( "x = &#960;/3\r<BR>\n" );
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document.write( " x =0\r<BR>\n" );
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document.write( " x = &#960;/6\r<BR>\n" );
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document.write( " x = &#960;/4\r<BR>\n" );
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document.write( "Q7)  Describe the pattern, write the next term, and write a rule for the nth term of the sequence 5, 5.3, 5.6, 5.9. . . What is the next term in the pattern? The next term in the pattern is<BR>\n" );
document.write( "5.9\r<BR>\n" );
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document.write( " 6.5\r<BR>\n" );
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document.write( " 6.9\r<BR>\n" );
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document.write( " 6.2\r<BR>\n" );
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document.write( "Q8)  What is the measure of the angle &#952; in the triangle shown?\r<BR>\n" );
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document.write( "&#952; 63.43\r<BR>\n" );
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document.write( " &#952; 30.00\r<BR>\n" );
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document.write( " &#952; 60.00\r<BR>\n" );
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document.write( " &#952; 26.57\r<BR>\n" );
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document.write( "Q9)  Graph f(x) = sin (x &#8722; 2&#960;) &#8722; 1. Vertical shift =?<BR>\n" );
document.write( "Vertical shift = -2\r<BR>\n" );
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document.write( " Vertical shift = -1\r<BR>\n" );
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document.write( " Vertical shift = -3\r<BR>\n" );
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document.write( " Vertical shift = 0\r<BR>\n" );
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document.write( "Q10)  Two terms of an arithmetic sequence are a7 = 33 and a22 = 138. Find a rule for the nth term.<BR>\n" );
document.write( "16 + 10n\r<BR>\n" );
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document.write( " 16 + 7n\r<BR>\n" );
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document.write( " &#8722;16 + 10n\r<BR>\n" );
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document.write( " &#8722;16 + 7n<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275046 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two terms of an arithmetic sequence are <BR>\n" );
document.write( "a(9) = 85 and a(30) = 295. <BR>\n" );
document.write( "Find a rule for the nth term.<BR>\n" );
document.write( "a(30) = a+29d = 295<BR>\n" );
document.write( "a(9)  = a+8d = 85<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Subtract and solve for \"d\":<BR>\n" );
document.write( "21d = 210<BR>\n" );
document.write( "d = 10<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "a+8*d = 85<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Therefore: a(n) = 5+(n-1)10 = 5+10n-10 = -5+10n\r<BR>\n" );
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document.write( "&#8722;5 + 12n <BR>\n" );
document.write( "&#8722;5 + 10n <BR>\n" );
document.write( "5 + 10n <BR>\n" );
document.write( "5 + 12n<BR>\n" );
document.write( "=============================================================== \r<BR>\n" );
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document.write( "Q2) What is the measure of the angle &#952; in the triangle shown? <BR>\n" );
document.write( "&#952; 31.07 <BR>\n" );
document.write( "&#952; 58.93 <BR>\n" );
document.write( "&#952; 62.70 <BR>\n" );
document.write( "&#952; 27.30<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Triangle not shown.<BR>\n" );
document.write( "=============================================================== \r<BR>\n" );
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document.write( "Q3) Solve 3 tan x &#8722;&#8730;3 = 0.<BR>\n" );
document.write( "tan(x) = sqrt(3)/3<BR>\n" );
document.write( "x = invtan(sqrt(3)/3) = pi/6 or (7/6)pi<BR>\n" );
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document.write( "x = &#960;/6 + n&#960; <BR>\n" );
document.write( "x = &#960;/6 or x = 7&#960;/6 <BR>\n" );
document.write( "x = &#960;/6 + 2n&#960; <BR>\n" );
document.write( "x = &#8730;2 or x = &#8730;3<BR>\n" );
document.write( "=========================== \r<BR>\n" );
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document.write( "Q4) Two terms of an arithmetic sequence are a8 = 76 and a28 = 296. Find a rule for the nth term.<BR>\n" );
document.write( "&#8722;12 + 11n <BR>\n" );
document.write( "12 + 13n <BR>\n" );
document.write( "12 + 11n <BR>\n" );
document.write( "&#8722;12 + 13n<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Follow the pattern above to get the answer.<BR>\n" );
document.write( "======================================================================== \r<BR>\n" );
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document.write( "Q5) MONSTER TRUCKS A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 8 feet and a horizontal length of 28 feet. What is the angle &#952; of the ramp? Round your answer to the nearest integer, if necessary.<BR>\n" );
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document.write( "invtan(8/28) = 15.95 degrees<BR>\n" );
document.write( "&#952; 16 <BR>\n" );
document.write( "&#952; 14 <BR>\n" );
document.write( "&#952; 12 <BR>\n" );
document.write( "&#952; 10 <BR>\n" );
document.write( "===========================================================<BR>\n" );
document.write( "Q6) Solve cos x &#8722; 1 = 0 on the interval 0 &#8804;x &#8804; &#960;/2.<BR>\n" );
document.write( "x = &#960;/3 <BR>\n" );
document.write( "x =0 <BR>\n" );
document.write( "x = &#960;/6 <BR>\n" );
document.write( "x = &#960;/4 <BR>\n" );
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document.write( "Done elsewhere<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Q7) Describe the pattern, write the next term, and write a rule for the nth term of the sequence 5, 5.3, 5.6, 5.9. . . What is the next term in the pattern? The next term in the pattern is<BR>\n" );
document.write( "5.9 <BR>\n" );
document.write( "6.5 <BR>\n" );
document.write( "6.9 <BR>\n" );
document.write( "6.2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Done elsewhere<BR>\n" );
document.write( "============================ \r<BR>\n" );
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document.write( "Q8) What is the measure of the angle &#952; in the triangle shown? <BR>\n" );
document.write( "&#952; 63.43 <BR>\n" );
document.write( "&#952; 30.00 <BR>\n" );
document.write( "&#952; 60.00 <BR>\n" );
document.write( "&#952; 26.57 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "Triangle not shown<BR>\n" );
document.write( "==============================\r<BR>\n" );
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document.write( "Q9) Graph f(x) = sin (x &#8722; 2&#960;) &#8722; 1. Vertical shift = -1<BR>\n" );
document.write( "Vertical shift = -2 <BR>\n" );
document.write( "Vertical shift = -1 <BR>\n" );
document.write( "Vertical shift = -3 <BR>\n" );
document.write( "Vertical shift = 0<BR>\n" );
document.write( "================================ \r<BR>\n" );
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document.write( "Q10) Two terms of an arithmetic sequence are a7 = 33 and a22 = 138. Find a rule for the nth term.<BR>\n" );
document.write( "16 + 10n <BR>\n" );
document.write( "16 + 7n <BR>\n" );
document.write( "&#8722;16 + 10n <BR>\n" );
document.write( "&#8722;16 + 7n<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Follow the pattern above to get the answer.<BR>\n" );
document.write( "=================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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