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Question 1139602: The Gateway Arch in a city has the shape of a catenary (a U-shaped curve similar to a parabola). It can be approximated by the following model, where x and y are measured in feet.
y = -(3/1000)(x + 400)(x - 400). How high is the arch?
Click here to see answer by Alan3354(69443)

Question 1139603: The Gateway Arch in a city has the shape of a catenary (a U-shaped curve similar to a parabola). It can be approximated by the following model, where x and y are measured in feet.
y = -(3/1000)(x + 400)(x - 400). How high is the arch?
Click here to see answer by Alan3354(69443)

Question 1139610: A manufacturer of baseballs has a daily cost of C(x) = 500 - 8x + 0.04x^2, where C is the total cost in dollars and x is the number of baseballs produced. What is the minimum total cost?
Click here to see answer by josmiceli(19441)

Question 1139609: The number of cycles that a bicycle company sells can be modeled by -6p + 180 where "p" is the price of a cycle. What price will maximize the revenue? What is the maximum revenue?
Click here to see answer by josmiceli(19441)

Question 1139621: If the inequality contains > symbol, then graph the equation using a _______________ line.
Click here to see answer by josgarithmetic(39617)

Question 1139619: The graph of an equation divides the ________ into two regions.
Click here to see answer by ikleyn(52778)

Question 1139671: Find X if the distance between points A and B is 13 and B is located in the second quadrant.
A=(5,-1)
B=(x,4)
Click here to see answer by ikleyn(52778)

Question 1139620: The region which does not satisfy the inequality is ______________ to the inequality.
Click here to see answer by ikleyn(52778)

Question 1139712: The area of a sector of a circle is given by A = πr^2 (a/360) where r is the radius of the circle and a is the angle measure of the sector. Solve for a.
Click here to see answer by greenestamps(13198)

Question 1139715: A soccer team won four times as many games as they lost. They won 20 games. How many games did the team lose? Justify the solution.

Click here to see answer by addingup(3677)

Question 1139716: The distance between school and home is 8 km and home and playground is 7 km. Find the distance between school and ground in meters.
Click here to see answer by josgarithmetic(39617)

Question 1139706: If a^a√a = (a√a)^a, then the value of a = ___ .
Click here to see answer by dkppathak(439)

Question 1139708: Find the integer value of x in √(519 + x) to get the greatest integer nearest to √519?
Click here to see answer by Alan3354(69443)

Question 1139845: if two lines are perpendicular, then the slope of one is the negative reciprocal of the slope of the other. what is the slope of the line that is perpendicular to the line 5x-2y=7.
Give your answer as a fraction
Click here to see answer by Alan3354(69443)

Question 1139858: Solve the following system of equations.
y = -x - 8
y = 3x
Click here to see answer by ikleyn(52778)

Question 1139967: 8square root r _5= squareroot r+ 9
Please sir solve this for me
Click here to see answer by josgarithmetic(39617)

Question 1139999: let: L1: y=3 and L2: x=3 prove that:slop(L1) × slop(L2) = - 1
Click here to see answer by MathLover1(20849)

Question 1139999: let: L1: y=3 and L2: x=3 prove that:slop(L1) × slop(L2) = - 1
Click here to see answer by greenestamps(13198)

Question 1140108: if point A, having coordinates (9,p) and point B, have coordinates (p,7), lie on a line having slope of -1/3, what is the value of p?
Click here to see answer by MathLover1(20849)

Question 1140113: what is the slope intercept form for the equation of the line passing through the point (-3,4) and having a slope of 5/6?
Begin your answer with y=
Click here to see answer by MathLover1(20849)

Question 1140112: PROJECT: DATA ANALYSIS
Do you ever think about the number of calories in your favorite foods? Maybe ice cream is better for you than a hamburger. One way to find out would be to figure out how many calories and grams of saturated fat are in both foods. Typically, foods have nutritional information like this on the packaging. Or if you eat out, many fast food places will provide this information. Once you have collected the data, you can begin to analyze it.
OBJECTIVES
Collect, organize, and analyze data.
Make predictions based on data.
According to the U.S. Food and Drug Administration, 30% of daily calories should come from fats and only 10% from saturated fats. Based on a 2,000-calorie-a-day intake, this translates to about 600 calories from fat and 20 grams of saturated fat.
FDA Daily Values
By knowing the number of fat calories in a fast food item, can you predict the number of grams of saturated fat?
Your task:
I. Collect data from several fast food chains on the number of fat calories and grams of saturated fat in menu items. Record at least 12 ordered pairs of (fat calories, grams of saturated fat). Organize your data in a table.
II. Make a scatter plot of the data on graph paper. Be sure to label the axes and use an appropriate title for the graph.
You may wish to use a graphing calculator, spread sheet, or other technology resource (such as the graphing utility link below) to aid you in graphing.
Create a Graph
III. Draw a trend line for the scatter plot. Use the following scatter plot of the ordered pairs (fat grams, total calories) as an example.

IV. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)
Note: Graphing calculators and spread sheets have features with which to draw trend lines and determine the equation. You may choose to use one of these options. If you use technology, indicate what steps were taken to arrive at your equation.
V. Using the slope and y-intercept, write the equation of the trend line ( y = mx + b).
VI. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step V to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.
VII. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.

Click here to see answer by greenestamps(13198)

Question 1140120: Richey Loaner inherited $2105.22 from a not-so-rich uncle. If Richie deposits his money into an account that pays 3% compounded continuously for t years, then the function A(t)=2105.22e^0.03t gives the account balance after t years.
a. Find Richie's account balance 6 years from now.
b. Show all the work to algebraically find the number of years it will take for Richie to become a millionaire (1,000,000)? Show all steps to solve algebraically.
Click here to see answer by Boreal(15235)

Question 1140124: Fill in Table A for the exponential function y=3^x Use the "inverse property" to fill in Table B.
Table A- (x)[-1,0,1,2] (y=3^x)[MUST FILL IN]
Table B-(x)[MUST FILL IN] (inverse)[MUST FILL IN]
b. Plot the points from TABLE B t sketch a graph of the inverse
c. Use your graph from (b) to give the natural domain and range of the inverse

Click here to see answer by MathLover1(20849)

Question 1140126: Graph the line with slope 3/2 and y-intercept -7
Click here to see answer by Boreal(15235)

Question 1140305: if line PQ passes through (1,2) and perpendicular to y=5x-1, determined the equation of PQ.
If the gradient of AB,is 15, 3,and line PQ is parrell to line AB,and passes through point (-4,5) for the equation of line AB
Click here to see answer by Boreal(15235)

Question 1140412: The function f(x) =x^2 +5x -6 is shifted 4 units to the left to create g(x). What is g(x)?
Click here to see answer by greenestamps(13198)

Question 1140408: Find the solution set of 3^4x - 6.3^2x - 27 = 0
Click here to see answer by greenestamps(13198)

Question 1140691: Solve the system graphically.
y = e^(x+3)
x^2 - 4y^(2) = 11
A) ≈(-3.52, .59)
B) ≈(1.04, -0.14) and ≈(3.52, -1.69)
C) ≈(2.75, -1.28)
D) ≈(2.75, 1.28)

Click here to see answer by Alan3354(69443)

Question 1141145: solve: |x|^(3x^2-4x-4) > 1 ,x ∈ R
Click here to see answer by greenestamps(13198)

Question 1141200: Graph the inequality.
y < 3x - 5
Click here to see answer by Alan3354(69443)

Question 1141215: Which is the equation of the line that is parallel to y=6x-9 and passes through the point (0,5)?
1.y=-1/6x+5
2.y=-1/6x-5
3.y=6x+5
I couldn't get the 1 over 6 to look right, but its 1 over 6.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1141216: Which equation has a slope of 1/2 and a y-intercept of -3?
1.y=-3x+1/2
2.y=-3x-1/2
3.y+3=1/2x
1/2 means 1 over 2. Couldn't type it correct
Click here to see answer by Alan3354(69443)

Question 1141213: Which is an equation of the line whose slope is 2 and which passes through the point (-2,3)?
1.y=-2x+7
2.y=-2x+1
3.y=2x+7
Click here to see answer by Alan3354(69443)

Question 1141214: Which of the following is an equation of a line whose slope is 0?
1.y=6
2.x=6
3.x+y=1
Click here to see answer by Alan3354(69443)

Question 1141243: ``Which of the following is an equation of a line whose slope is 0?
1.y=6
2.x=6
3.x+y=1
Click here to see answer by Alan3354(69443)

Question 1141241: ``Which equation has a slope of 1/2 and a y-intercept of -3?
1.y=-3x+1/2
2.y=-3x-1/2
3.y+3=1/2x
1/2 means 1 over 2. Couldn't type it correct ''.
Click here to see answer by Alan3354(69443)

Question 1141242: ``Which is an equation of the line whose slope is 2 and which passes through the point (-2,3)?
1.y=-2x+7
2.y=-2x+1
3.y=2x+7''.
Click here to see answer by Alan3354(69443)

Question 1141301: find the (nth) derivative of. y= x^n * sqrt(x)
Click here to see answer by MathLover1(20849)

Question 1141270: if a, b belong to R+ such that

then
Click here to see answer by Edwin McCravy(20054)

Question 1141463: solve : x^2 + x = y^2 - 2y , x, y belong to N (integer)
Click here to see answer by greenestamps(13198)

Question 1141543: Find the center of the circles tangent to 5x-2y-1=0 at 1,2 with a radius of 3

Click here to see answer by MathLover1(20849)

Question 1141543: Find the center of the circles tangent to 5x-2y-1=0 at 1,2 with a radius of 3

Click here to see answer by Edwin McCravy(20054)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975