Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1119000: What is the simplified form of 5=(4x-1)^2
Click here to see answer by josgarithmetic(39613) About Me 
Question 1119000: What is the simplified form of 5=(4x-1)^2
Click here to see answer by ikleyn(52748) About Me 

Question 1119010: A rectangle has an area of 2x^2 + 2x - 112.
a) If one side is (x -7) cm, show that the perimeter is 6(x +3)cm.
b) Hence or otherwise, find the range of possible values for x

Click here to see answer by josgarithmetic(39613) About Me 

Question 1119016: Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y=%28x-5%29%285x%2B4%29-5x%5E2
A) Quadratic function.
Quadratic term: -5x%5E2
Linear term: -21x
Constant term: -20
B) Linear function.
Linear term: 15x
Constant term: -25
C) Linear function.
Linear term: -21x
Constant term: -20
D) Quadratic function.
Quadratic term: 5x%5E2
Linear term: 15x
Constant term: -25

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1119017: Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
f%28x%29=%283x%2B3%29%285x-2%29
A) Linear function.
Linear term:15x%5E2
Constant term:-6
B) Linear function.
Linear term:9x
Constant term:-6
C) Quadratic function.
Quadratic term:9x%5E2
Linear term:-1x
Constant term:-6
D) Quadratic function.
Quadratic term:15x%5E2
Linear term:9x
Constant term:-6

Click here to see answer by josgarithmetic(39613) About Me 

Question 1119023: Which of the following is |-3-6i|
A) ±3i sqrt(5)
B) ±3 sqrt(5)
C) 3 sqrt(5i)
D) 3 sqrt(5)

Click here to see answer by ikleyn(52748) About Me 

Question 1119182: Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below.
(3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2)
= 3y2 – 12y2
= –9y2
Is the student’s work correct?
No, she did not multiply –6y2 by 2 correctly.
No, she did not add 3y2 and –12y2 correctly.
No, she did not use the distributive property correctly.

Click here to see answer by Theo(13342) About Me 

Question 1119224: The sum of two numbers is 16 and the sum of their numbers is 146.Find the two numbers.

Click here to see answer by Alan3354(69443) About Me 

Question 1119253: In which quadrant does the vertex of the graph f(x) = | x + 1| + 3 lie?
Click here to see answer by ikleyn(52748) About Me 
Question 1119253: In which quadrant does the vertex of the graph f(x) = | x + 1| + 3 lie?
Click here to see answer by rothauserc(4718) About Me 

Question 1119288:
Click here to see answer by Shin123(626) About Me 

Question 1119340: What is a quadratic function in standard form having zeros of 9 and -5?
Thank you

Click here to see answer by ikleyn(52748) About Me 

Question 1119492: Find all value of 'h' for which the quadratic equation has two real solutions.
7x^2-9x-h=0
Write your answer as an equality or inequality in terms of h.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1119588: Do the following for the given f(x).
Identify the vertex and axis of symmetry on the graph of y=f(x)
Graph y=f(x)
Evaluate f(-2) and f(5)
f(x)=x^2-10

Click here to see answer by solver91311(24713) About Me 

Question 1119601: Given x^3 + x^2 * y - 20 = 0 and y^3 + x * y^2 - 45 = 0 what is y?
It is also given that x and y are positive real numbers

Click here to see answer by josgarithmetic(39613) About Me 

Question 1119702: Determine the truth value of each simple statement. Then using the truth values, determine the truth value of the compound statement.
1. If the moon circles the earth and the earth circles the sun, the moon is made of cheese.
2. Honda makes automobiles or Honda makes motorcycles, if and only if Mazda makes cereal.

Click here to see answer by ikleyn(52748) About Me 

Question 1119709: One linear one quadratic
4/×^2+3/y^×=8

Click here to see answer by Alan3354(69443) About Me 
Question 1119709: One linear one quadratic
4/×^2+3/y^×=8

Click here to see answer by solver91311(24713) About Me 

Question 1119708: One linear one quadratic
3x^2-8y^2=80 and 5x^2+6y^2=56

Click here to see answer by Alan3354(69443) About Me 
Question 1119708: One linear one quadratic
3x^2-8y^2=80 and 5x^2+6y^2=56

Click here to see answer by josgarithmetic(39613) About Me 

Question 1119894: How would you solve this problem and show work i'm trying to understand the concept, i have a test coming up soon. Thank You!
Three novice sailors were attempting to sail to Cancun mexico from fl during the Christmas break when a storm overtook them. the most composed of the sailors fired a shot with the flare gun straight up into the air hoping against hope that someone would see the distress signal. The height H of the flare, in meters above the "ground", t seconds after firing, can be modeled by the function: H(t)=-4.9t^2+166t+2.2
1. Evaluate H(3) and explain what it means in the context of the situation
2. Based on the height of the model, is it likely the sailor was sitting or standing in the raft when he fired the flare gun? How do you know?
3. Give the height from which the flare was fired in meters and also in inches.
4. Determine the maximum height reached by the flare,
5. How long did it take for the flare to reach its maximum height?
6. How long was the flare in the air?
7. A second boat was several miles away from the lost sailors, and, if the occupants of the second boat happened to be looking at the right moment in the right direction, the flare would be visible as long as it was at least 400 meters in the air. Determine how long the flare would have been visible to the occupants of the second boat.

Click here to see answer by solver91311(24713) About Me 

Question 1120040: Find a mathematical model representing the statement. (Determine the constant of proportionality). Show all work.
P varies directly as x and inversely as the square of y.
p=3/2 when x=25 and y=10.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1120124: Use “completing the squares” to convert the quadratic function into vertex form Given the quadratic function f(x) = 2x2– 8x + 11

Click here to see answer by ikleyn(52748) About Me 

Question 1120176: Given the quadratic function f(x) = 2x2– 8x + 11
Use “completing the squares” to convert the quadratic function into vertex form
State the vertex, Find the x- and y-intercepts, Graph the function
the end answer is 2(x-2)^2 +3, I need the steps in-between the problem and the answer

Click here to see answer by ikleyn(52748) About Me 
Question 1120176: Given the quadratic function f(x) = 2x2– 8x + 11
Use “completing the squares” to convert the quadratic function into vertex form
State the vertex, Find the x- and y-intercepts, Graph the function
the end answer is 2(x-2)^2 +3, I need the steps in-between the problem and the answer

Click here to see answer by greenestamps(13195) About Me 

Question 1120299: A ball is thrown from an initial height of 2 meters with an initial upward velocity of 25 m/s
. The ball's height
h (in meters) after t
seconds is given by the following.
h=2+25t-5t^2
find all values of t for which the ball's height is 7 meters
Round your answer(s) to the nearest hundredth.

Click here to see answer by Boreal(15235) About Me 

Question 1120490: Find the solution of 7x^2-22x-24=0 in exact value.
Click here to see answer by josmiceli(19441) About Me 

Question 1120524: An object is propelled vertically upward with an initial velocity of 20 m/s. The distance s (in meters) of the object from the ground after t seconds is given by +s%28t%29+=+-4.9t%5E2+%2B+20t+. When will the object be 15 meters above the ground?
Click here to see answer by Alan3354(69443) About Me 
Question 1120524: An object is propelled vertically upward with an initial velocity of 20 m/s. The distance s (in meters) of the object from the ground after t seconds is given by +s%28t%29+=+-4.9t%5E2+%2B+20t+. When will the object be 15 meters above the ground?
Click here to see answer by ikleyn(52748) About Me 

Question 1120590: What is an equation in standard form of the parabola that has the same shape as the graph of f(x)=−3x^2, but with vertex at (−16,−14).
Click here to see answer by solver91311(24713) About Me 

Question 1120591: With an equation in standard form of the parabola that has vertex (−9,−7) and passes through the point (1,593), I got y=593/93(x+9)^2-7. But i am incorrect. What did I do wrong?
Click here to see answer by solver91311(24713) About Me 

Question 1120589: Find the domain and the range of the quadratic function whose minimum value is 15 at x=−5, Would I just plug in 15 for x?
Click here to see answer by solver91311(24713) About Me 
Question 1120589: Find the domain and the range of the quadratic function whose minimum value is 15 at x=−5, Would I just plug in 15 for x?
Click here to see answer by ikleyn(52748) About Me 

Question 1120594: A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 452 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. Remember to reduce any fractions and simplify your answers as much as possible. I need to find the shorter side(s), longer side(l),and maximum area(m). For this I had s=113ft, l=226ft, m=25538square ft. WHat did I do wrong?
Click here to see answer by solver91311(24713) About Me 
Question 1120594: A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 452 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. Remember to reduce any fractions and simplify your answers as much as possible. I need to find the shorter side(s), longer side(l),and maximum area(m). For this I had s=113ft, l=226ft, m=25538square ft. WHat did I do wrong?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1120740: A tennis ball is tossed vertically upward from a height of 5 metres according to the height equation
h= -16t^+21t+5,where h is the height of the tennis ball in metres and t is the time in second.
After how many seconds will the height be 11 meters?

Click here to see answer by josgarithmetic(39613) About Me 

Question 1120793: Hi, I need help with this question, it's really confusing:
"A rectangular piece of cardboard is twice as long as it is wide. A four-centimeter square is cut out of each corner, then the sides are turned up to
make a box. The volume of the box is 616 cubic centimeters. Find the original
dimensions of the rectangular piece of cardboard."
Thanks!

Click here to see answer by josgarithmetic(39613) About Me 

Question 1120815: A projectile that is fired vertically into the air with an initial velocity of 120 ft. per second can be modeled by the equation s=(120t-16t)2.In the equation,s is the distance in feet of the projectile above the ground after t seconds.
Click here to see answer by Alan3354(69443) About Me 

Question 1120810: Hi, I'm not really sure of this question:
"In the quadratic formula, to find both solutions you
must add and subtract (square root of b2 − 4ac) divided by 2a . What are you
adding and subracting this to? (Hint: consider the graph of the parabola)"
Thanks!

Click here to see answer by Alan3354(69443) About Me 

Question 1120817: hi, I need some help with this:
"The area of a certain square is one-half the area of the rectangle formed if the length of one side of the original square is increased by nine and the adjacent side is increased by six. What is the perimeter of the square?"
Thank you!

Click here to see answer by rothauserc(4718) About Me 

Question 1121035: Hello, I am currently struggling with a problem that has to do with quadratic functions.
53. The driver of a car puts on the brakes and skids through a red light at an intersection. The length of the skid mark depends on the speed of the car before the brakes are applied. The investigating officer uses the table on the next page to determine the car's speed.
Speed (km/h)
0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100
Skid Length (m)
0 | 0.7 | 2.8 | 6.3 | 11.2 | 17.5 | 25.2 | 34.3 | 44.8 | 56.7 | 70
I had to draw the curve for the data:
https://imgur.com/a/5vAxeE1
The curve represented by the graph is a quadratic function. The relationship is non-linear.
However, I am stuck on the second question which is:
B) The skid mark was 104 m. Estimate the speed of the car.

I am not sure what formula I should write to solve this problem. Any help would be very appreciated.

Click here to see answer by ikleyn(52748) About Me 
Question 1121035: Hello, I am currently struggling with a problem that has to do with quadratic functions.
53. The driver of a car puts on the brakes and skids through a red light at an intersection. The length of the skid mark depends on the speed of the car before the brakes are applied. The investigating officer uses the table on the next page to determine the car's speed.
Speed (km/h)
0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100
Skid Length (m)
0 | 0.7 | 2.8 | 6.3 | 11.2 | 17.5 | 25.2 | 34.3 | 44.8 | 56.7 | 70
I had to draw the curve for the data:
https://imgur.com/a/5vAxeE1
The curve represented by the graph is a quadratic function. The relationship is non-linear.
However, I am stuck on the second question which is:
B) The skid mark was 104 m. Estimate the speed of the car.

I am not sure what formula I should write to solve this problem. Any help would be very appreciated.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1121157: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by Upper N left parenthesis x right parenthesis equals negative 0.6 x squared plus 14.4 x plus 14​, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that​ day?
Click here to see answer by Theo(13342) About Me 

Question 1121333: How to Solve a Fractional Equation by Reducing it to a Quadratic Equation?
Click here to see answer by FrankM(1040) About Me 

Question 1121319:
Click here to see answer by FrankM(1040) About Me 

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240