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Question 1110893: The width of a rectangular table is 1.2 feet less than its length. If the area of the table is 12.4 square feet, find its dimensions.
Click here to see answer by josgarithmetic(39613)

Question 1110938: 1: Graph a sine function whose amplitude is 6, period is 4π , midline is y=−4 , and y-intercept is (0, −4)
The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
2: When plucked, the E string on a violin has a frequency of 659 cycles per second.
What sine function represents this note when it is graphed with an amplitude of 2.5 units?
Let x represent the number of seconds
3: An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 46 inches and its minimum height is 18 inches. It takes the ball 2 seconds to go from its maximum height to its minimum height.
Which model best represents the height, h, of the ball after t seconds
A h(t)=18sin(πt2)+32
B h(t)=14sin(πt2)+32
C h(t)=32sin(πt)+18
D h(t)=14sin(πt)+32
4: Gerald launches a projectile from the top of an 80-foot high building. The initial velocity of the projectile is 32 feet per second. The height of the projectile is modeled by the function h(t)=−16t2+64t+80 , where t is measured in seconds since the launch.
What is the maximum height the projectile reaches?
A 80 ft
B 124 ft
C 132 ft
D 144 ft
5: A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline.
The model is accurate for 0≤t≤4 .
On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again
A 1.25 s
B 1.5 s
C 2 s
D 2.75 s
6: On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a.m. and 12 p.m. The low tide is 0.4 meter and only occurs at 6 a.m. and 6 p.m.
Which function models the height of the tide t hours after 12 a.m.
A h(t)=1.1sin(πt3)+0.7
B h(t)=1.8cos(πt3)+0.4
C h(t)=0.7cos(πt6)+1.1
D h(t)=0.7sin(πt6)+1.1

Enter the amplitude of the function f(x) .

f(x)=−sin(3x)−

7: The height of an object projected upward from the ground with an initial velocity of 96 feet per second is modeled by the function h(t)=−16t2+96t , where t is measured in seconds.
How long does it take for the object to return to the ground?

A 2 s
B 3 s
C 4 s
D 6 s
Click here to see answer by ikleyn(52747)

Question 1111078: P1A1V1 = P2A2V2 solve for V2
Click here to see answer by ikleyn(52747)

Question 1111111: The area of a square is73.96 m2.calculate the length of its side
Click here to see answer by ikleyn(52747)

Question 1111113: How many litres of water will flow out of a pipe that has an area of cross section 15 sqcm in 5 minutes .if the speed of water in the pipe is 40 cm/sec ?
Click here to see answer by ikleyn(52747)

Question 1111330: A submarine is 75m below sea level
What is its depth below sea level if ut goes down a further 120m below?
Click here to see answer by Alan3354(69443)

Question 1111327: 1.The pilot of the Western Airlines flight from Los Angeles to
Honolulu announced en route that the plane was flying at a certain
airspeed with a west wind blowing at 30 mph. However, after flying
for 3 hours, the wind decreased to 20 mph (airspeed constant).
The plane arrived in Honolulu 2 hours later. If the distance from
Los Angeles to Honolulu is 2500 miles, what did the pilot
announce was the airspeed of the plane?
2.Hank and Hossein open a print shop. They receive a job which
Hank can do in 12 hours or Hossein in 14. They start to work on
it together, but after 3 hours, Hossein has to stop to finish another
job. Hank works alone for an hour, when he is called out on an estimate. Hossein come back and finishes the original job alone.
How long will it take him to finish?
3.A 4-inch-wide picture frame surrounds a picture 2 inches longer
than it is wide. If the area of the frame is 208 square inches, what
are the dimensions of the picture~ (Hint: Find the difference
between the area of the picture and the area formed by the
outside dimensions of the frame.)
4. Bud and Karen went fishing. At the end of the day they compared
catches. Together they had caught 40 fish. If Bud had caught two
more and Karen had caught two fewer, they would have caught the
same number of fish. What was the size of each catch~
5. Maggie and Rod left at 9 A.M. on a hike to Tahquitz peak, traveling
at an average rate of 2 mph, with three 5-minute rest stops. After a
45-minute lunch at the peak, they returned home averaging 3 mph
and arrived at 3 P.M. How long did it take them to reach the peak
and how far did they hike to reach it?
Click here to see answer by Boreal(15235)

Question 1111391: 1. A farmer wishes to fence a circular ring for his ponies. If he has
264 feet of fencing, what would he make the radius of the circle?
22 (Use 1t = 7.)
2. Jake Zablowski has a collection of coins worth $96.07. He has five
times as many 50-cent pieces as he has silver dollars. The number
of dimes is twice the number of 50-cent pieces. There are seven
more than 3 times as many pennies as dimes. How many of each
kind of coin does he have?
3. The boys have a small game going in the back room. Mr. X decides to
pull out and finds he has $194. If he has four times as many $1 bills as
$5 bills, one-fifth as many $2 as $5 bills, and the same number of $50
bills as $2 bills, how many bills of each kind does he have?
4. Mr. Swanson needs to move a 3S0-pound refrigerator. He has no
dolly, so he gets his son to help balance the refrigerator while he
slides a 6-foot board under it and uses a block as a fulcrum. (This
enables him to get a rug under the refrigerator on which it will
slide.) If the fulcrum is 18 inches from the end of the board, how
much force is needed to raise the refrigerator~
5. A plane flies from Los Angeles west to Paradise Isle and returns.
During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the
return trip to Los Angeles took 13 hours, what was the plane's
average airspeed~
Click here to see answer by ikleyn(52747)

Question 1111496: 111.011+110.1+11.011 all are base 2
Click here to see answer by Alan3354(69443)

Question 1111498: 11.01+111.101+10000.01 all are base 2
Click here to see answer by Alan3354(69443)

Question 1111495: 11000(base 2)+10000(base 2)
Click here to see answer by Alan3354(69443)

Question 1111494: 1110(base 2)+111101(base 2)
Click here to see answer by Alan3354(69443)

Question 1111509: lim x->infinity: cos(x)
Click here to see answer by ikleyn(52747)

Question 1111509: lim x->infinity: cos(x)
Click here to see answer by amalm06(224)

Question 1111511: lim x->pi/2: tan(x)
Click here to see answer by ikleyn(52747)

Question 1111603: an object is projected straight up with an initial velocity of k ft. /sec. The height of the object, h, at any time, t, is given by the function h(t)= -16t^2+ kt. if the object returns to the ground at t=8 sec., find the height (in feet) of the object at t=7 sec.Explain in words your steps to finding the value of k.
I tried to find k but i could finish because i didn't know what to do after u plug in the numbers and simplify also i got a crazy number when i didn't simplify
Click here to see answer by Alan3354(69443)

Question 1111657: A flowerbed is in the shape of rectangle 4m by 2,5m.a rectangular path around the bed has a width of 70cm.what is the perimeter of the outside of the path?
Click here to see answer by josgarithmetic(39613)

Question 1111612: equation T(t)= Te+(T0-Te) e^-kt
T(t) is the temperature of the object at the time t
Te is the constant temperature of the environment
T0 is the initial temperature of the object and k is a constant that depends on the material properties of the object
Problem:
You are part of a special CSI taskforce team investigating a murder. You are called to the scene of a crime where a dead body has just been found. You arrive the scene at 10:25 am and begin your investigation. immediately, the temperature of the body is taken and is found to be 80 degrees Fahrenheit. You check the programmable thermostat and find that the room has been kept at a constant 68 degrees Fahrenheit for the past 3 days. Also, google the constant k and you found the k=0.1336 for humans. The next day, the Police captain ask your team " what time did our victim die?" assuming that the victims body temperatures was normal 98.6 degrees Fahrenheit prior to death, what is your answer to this question? show work your Newtons law of cooling and explaining your reasoning.
I plugged them in put didn't get a time in got like 354.52
Click here to see answer by solver91311(24713)

Question 1112139: △KAR is regular, m∠ APK=95∘, and m∠ PKR=107∘. Fill in the missing angle measures.
∠AKP=
∘
∠AKR=
∘
∠ARK=
∘
∠KAR=
∘
∠PAK=
∘

Click here to see answer by greenestamps(13195)

Question 1112382: Find the coordinates of all corner points
4x + 5y ≤ 4
4x − 5y ≥ 4
−y ≥ 2
(x, y) = (smaller x-value)
(x, y) = (larger x-value)
Click here to see answer by stanbon(75887)

Question 1112442: A landscaper is designing a flower garden in the shape of a garden. She wants the length to be 5 yards greater than the width. For what length will the garden have an area of 360 square yards? Round to the nearest tenth of a yard.

Click here to see answer by josgarithmetic(39613)

Question 1112478: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT
Maximize p = x + y subject to
x + 2y ≥ 30
2x + 2y ≤ 30
2x + y ≥ 30
x ≥ 0, y ≥ 0.
p=
(x, y)=

Click here to see answer by greenestamps(13195)

Question 1112477: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.
Maximize p = x − 7y subject to
2x + y ≥ 8
y ≤ 5
x ≥ 0, y ≥ 0
p=
(x, y) =

(I got (1.5, 5) as x and y and it was wrong)
Click here to see answer by greenestamps(13195)

Question 1112482: You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.� Your home has 80 light fittings and 1,500 square feet of uninsulated exterior wall. You can spend no more than $1,600 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase?
compact fluorescent light bulbs =
insulation =
How much will you save in energy costs per year?
Click here to see answer by ikleyn(52747)

Question 1112502: Maximize p = x − 7y subject to
2x + y ≥ 8
y ≤ 5
x ≥ 0, y ≥ 0
I know P= unbounded but what does x and y equal? I have already tried 1.5 and 5 and it was incorrect.
Click here to see answer by ikleyn(52747)

Question 1112501: Maximize p = x + y subject to
x + 2y ≥ 30
2x + 2y ≤ 30
2x + y ≥ 30
x ≥ 0, y ≥ 0.
I know the region is empty, but what does P equal?
Click here to see answer by ikleyn(52747)

Question 1112583: suppose the population of a town is growing exponentially the population was 4,636 in 2008 and grew to 5,508 in 2010 what is the approximate growth rate of the population
Click here to see answer by josgarithmetic(39613)

Question 1112828: In a circle the circumference and diameter vary directly. Without using a value of pi, find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44.
Click here to see answer by Alan3354(69443)

Question 1112984: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}. Find the number indicated.
n(A ∩ (B ∩ C))
Click here to see answer by ikleyn(52747)

Question 1112872: Sue wants to form a right angle to create a right triangular garden and decides to make a blueprint of the right angle .
AB has the equation: y= 2x+1
AC has the equation x=4
BC is perpendicular to AB passing through the point (-8,0)
Graph all three equation on a single graph
What is the soulution of AB and BC on the graph label it B
Prove the solution you got for the intersection of AB and BC was correct by solving the system of equations algebrically
Find the perimeter of the right triangle garden

Click here to see answer by solver91311(24713)

Question 1113063: The demand for a book is given by
q = −1,000p + 120,000
copies per year, where p is the price per book in dollars. The supply is given by
q = 2,000p + 90,000 copies
per year. Find the price at which supply and demand balance.
Click here to see answer by greenestamps(13195)

Question 1113064: Determine the values of the constants a and b so that the function f ( x )= x3 + ax2 + bx + 5 may have a relative maximum at x= -3 and a relative minimum at x= 1
Click here to see answer by greenestamps(13195)

Question 1113106: Evaluate the expression when b is 6 and t is -3
Click here to see answer by Alan3354(69443)

Question 1113117: A test requires that you answer either part A or part B. Part A consists of 7 true-false questions, and part B consists of 6 multiple-choice questions with one correct answer out of six. How many different completed answer sheets are possible?

Click here to see answer by josmiceli(19441)

Question 1113245: Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and Bali. How many possible itineraries are there?
Click here to see answer by solver91311(24713)

Question 1113264: 2 � divide by 2/5

Click here to see answer by Alan3354(69443)

Question 1113521: Consider the following hypothesis test for the mean difference. (Give your answers correct to four decimal places.)
(a) Determine the p-value for Ho: μd = 0 and Ha: μd > 0, with n = 20 and t = 2.

(b) Determine the p-value for Ho: μd = 0 and Ha: μd ≠ 0, with n = 19 and t = -1.89.

(c) Determine the p-value for Ho: μd = 0 and Ha: μd < 0, with n = 25 and t = -2.6.

(d) Determine the p-value for Ho: μd = 0.75 and Ha: μd > 0.75, with n = 7 and t = 3.48.

Click here to see answer by stanbon(75887)

Question 1113729: Jessica spent $195 on 3 chairs & 5 pots of flowers
Alondra spent $246 on 6 chairs & 2 pots of flowers
Marisol bought 8 chairs & 12 pots of flowers
How much should Marisol expect to pay?
Click here to see answer by addingup(3677)

Question 1113744: Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and Bali. How many possible itineraries are there?
Click here to see answer by ikleyn(52747)

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, 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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, 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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, 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