Questions on Algebra: Equations answered by real tutors!

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Question 1192593: A house purchased for 450000 dollars is expected to double in value in 15 years . Find a linear equation that describes the house's value after t year.
Click here to see answer by ikleyn(52776) About Me 

Question 1192596: According to one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university located in vile
parle. They have been asked about their status of like/ dislike the Instagram- REELS.
a) What is the probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)?
(5 Marks)
3.b. ‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the
cities they plan to visit. The number of hits daily is a normally distributed random variable
with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?

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

Question 1192628: Use the intermediate value theorem to show that the function has a real zero between the two numbers given.​ Then, use your calculator to approximate the zero.
p(x)=4x^2-2x-6; 1 and 2
p(1)=
p(2)=
Is there a zero between 1 and​ 2? (y/n)
The zero is approximately=
​(Round to the nearest hundredth as​ needed.)
thank you, still trying to grasp how to do this im clueless

Click here to see answer by ikleyn(52776) About Me 

Question 1192629: For the​ following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.
The zeros are​ -3,-​1, and 4.
p(-2)=-18
p(x)=
thanks your your help!(:

Click here to see answer by MathLover1(20849) About Me 
Question 1192629: For the​ following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.
The zeros are​ -3,-​1, and 4.
p(-2)=-18
p(x)=
thanks your your help!(:

Click here to see answer by math_tutor2020(3816) About Me 

Question 1192627: Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros.
2+2i, -1, and 2
any help is very appreciated

Click here to see answer by josgarithmetic(39616) About Me 
Question 1192627: Find a polynomial function P of the lowest possible​ degree, having real​ coefficients, a leading coefficient of​ 1, and with the given zeros.
2+2i, -1, and 2
any help is very appreciated

Click here to see answer by math_tutor2020(3816) About Me 

Question 1192652: Angles A and B are located in the first quadrant. If sin A = 5/13 and cosB = 3/5, determine the exact value of cos(A + B).
Click here to see answer by Alan3354(69443) About Me 

Question 1192651: simplify sin(π/2 -x) + sin(π-x) + sin(3π/2 -x) + sin(2π-x)
Click here to see answer by Alan3354(69443) About Me 

Question 1192744: the water level at an ocean inlet has a depth, d,in metre, that varies with the time, t, in hours after midnight, according to the equation d=5sin[2π (t-4)/12.4]+6
what is the water depth at 2:30 a.m., to the nearest hundredth of a metre?

Click here to see answer by Alan3354(69443) About Me 
Question 1192744: the water level at an ocean inlet has a depth, d,in metre, that varies with the time, t, in hours after midnight, according to the equation d=5sin[2π (t-4)/12.4]+6
what is the water depth at 2:30 a.m., to the nearest hundredth of a metre?

Click here to see answer by ikleyn(52776) About Me 

Question 1192743: solve cos2x-2sinx-cos^2 x = -3 on the interval x ∈ [0,2π]
Click here to see answer by MathLover1(20849) About Me 

Question 1192745: A mass is suspended by a spring such that it hangs at rest 0.5 m above the ground. The mass is raised 40 cm and released at time t = 0 s,causing it to oscillate sinusoidally. If the mass returns to the high position every 1.2 s, determine the height of the mass above the ground at t = 0.7 s. Draw a sketch.
Click here to see answer by ikleyn(52776) About Me 

Question 1192852: The formula for the area of a trapezoid is A =1/2h(b, + b2). Express b1, in terms of A, h, and b2
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1192852: The formula for the area of a trapezoid is A =1/2h(b, + b2). Express b1, in terms of A, h, and b2
Click here to see answer by Boreal(15235) About Me 

Question 1192858: Nickola swam at a rate of 4 ​km/hr and ran at a rate of 11 ​km/hr for a total distance traveled of 80.5  km. If he completed the race in 10 ​hours, how long did he take to complete each part of the​ race?
The time Nickola spent swimming is ____ ​hours, and the time he spent running is
  
_____ hours.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1192859: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 575 miles​ apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 50 miles per hour and Ian drives at a rate of 55 miles per​ hour, how long had each been​ driving?
Thaddeus has been driving ____ ​hours, and Ian has been driving ____ hours

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

Question 1192867: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at different times. When they are 575 miles​ apart, their combined travel time is 11 hours. If Thaddeus drives at a rate of 50 miles per hour and Ian drives at a rate of 55 miles per​ hour, how long had each been​ driving?
Thaddeus has been driving ____ ​hours, and Ian has been driving ____ hours

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

Question 1192868: Nickola swam at a rate of 4 ​km/hr and ran at a rate of 11 ​km/hr for a total distance traveled of 80.5  km. If he completed the race in 10 ​hours, how long did he take to complete each part of the​ race?
The time Nickola spent swimming is ____ ​hours, and the time he spent running is
  
_____ hours.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1192897: The velocity of a sky diver t seconds after jumping is given by v(t) = 80(1 − e(-0.2t)). After how many seconds is the velocity 40 ft/s? (Round your answer to the nearest whole number.)
Click here to see answer by Alan3354(69443) About Me 

Question 1192913: On​ Monday, Harold picked up 4 donuts and 5 large coffees for the office staff. He paid 6.52  On​ Tuesday, Melinda picked up 5 donuts and 4 large coffees for the office staff. She paid 6.17  What is the cost of one​ donut? What is the cost of one large​ coffee?
Click here to see answer by Alan3354(69443) About Me 

Question 1192916: When a plane flies with the​ wind, it can travel 1680 miles in 4 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 5 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

The rate of the wind is ____ miles per hour.

Click here to see answer by Alan3354(69443) About Me 
Question 1192916: When a plane flies with the​ wind, it can travel 1680 miles in 4 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 5 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

The rate of the wind is ____ miles per hour.

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

Question 1192914: A kayak can travel 30 miles downstream in 2 ​hours, while it would take 10 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
What is speed of the kayak in still​ water?
When a plane flies with the​ wind, it can travel 1680 miles in 4 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 5 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

The rate of the wind is ____ miles per hour.

Click here to see answer by Alan3354(69443) About Me 
Question 1192914: A kayak can travel 30 miles downstream in 2 ​hours, while it would take 10 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
What is speed of the kayak in still​ water?
When a plane flies with the​ wind, it can travel 1680 miles in 4 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 5 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

The rate of the wind is ____ miles per hour.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1192917: ``When a plane flies with the​ wind, it can travel 1680 miles in 4 hours. When the plane flies in the opposite​ direction, against the​ wind, it takes 5 hours to fly the same distance. Find the rate of the plane in still air and the rate of the wind.

The rate of the wind is ____ miles per hour.''.

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

Question 1192915: An electronics company makes two types of switches. Type A takes 3 minutes to make and requires ​$2 worth of materials. Type B takes 6 minutes to make and requires ​$6 of materials. In the latest production​ batch, it took 36 hours to make these​ switches, and the materials cost ​$1960. How many of each type of switch were​ made?

There were ___ Type A switches and ____ Type B switches manufactured.

Click here to see answer by math_tutor2020(3816) About Me 
Question 1192915: An electronics company makes two types of switches. Type A takes 3 minutes to make and requires ​$2 worth of materials. Type B takes 6 minutes to make and requires ​$6 of materials. In the latest production​ batch, it took 36 hours to make these​ switches, and the materials cost ​$1960. How many of each type of switch were​ made?

There were ___ Type A switches and ____ Type B switches manufactured.

Click here to see answer by greenestamps(13198) About Me 

Question 1192943: The table shows the population of elk in a state forest growing exponentially. Determine the equation that expresses the number of elk, y, present at any time, t.
Time (yrs.)------------Population
0-------------------------30
1-------------------------42
3------------------------82.32
6------------------------161.35

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

Question 1192951: A kayak can travel 48 miles downstream in 4 ​hours, while it would take 24 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1192951: A kayak can travel 48 miles downstream in 4 ​hours, while it would take 24 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1192951: A kayak can travel 48 miles downstream in 4 ​hours, while it would take 24 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed of the current.
Click here to see answer by greenestamps(13198) About Me 

Question 1192950: On​ Monday, Harold picked up 3 donuts and 6 large coffees for the office staff. He paid 6.75  On​ Tuesday, Melinda picked up 5 donuts and 2 large coffees for the office staff. She paid 4.37  What is the cost of one​ donut? What is the cost of one large​ coffee?

Click here to see answer by josgarithmetic(39616) About Me 
Question 1192950: On​ Monday, Harold picked up 3 donuts and 6 large coffees for the office staff. He paid 6.75  On​ Tuesday, Melinda picked up 5 donuts and 2 large coffees for the office staff. She paid 4.37  What is the cost of one​ donut? What is the cost of one large​ coffee?

Click here to see answer by greenestamps(13198) About Me 

Question 1192958: An electronics company makes two types of switches. Type A takes 4 minutes to make and requires ​$3 worth of materials. Type B takes 6 minutes to make and requires ​$6 of materials. In the latest production​ batch, it took 37 hours to make these​ switches, and the materials cost ​$2040. How many of each type of switch were​ made?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1192958: An electronics company makes two types of switches. Type A takes 4 minutes to make and requires ​$3 worth of materials. Type B takes 6 minutes to make and requires ​$6 of materials. In the latest production​ batch, it took 37 hours to make these​ switches, and the materials cost ​$2040. How many of each type of switch were​ made?
Click here to see answer by ikleyn(52776) About Me 

Question 1192952: An electronics company makes two types of switches. Type A takes 5 minutes to make and requires ​$4 worth of materials. Type B takes 6 minutes to make and requires ​$6 of materials. In the latest production​ batch, it took 41 hours to make these​ switches, and the materials cost ​$2280. How many of each type of switch were​ made?
Click here to see answer by ikleyn(52776) About Me 

Question 1189240: For the equation +%28a-b%29%5E2+%2B+a%5E2+=+169+ a and b are integers, and a≥0. Find the number of different ordered pairs (a,b) that occur.
Click here to see answer by pademin(1) About Me 

Question 1193032: The solution to a system of equation having the form AX-B can be found by the matrix multiplication:
x= -0.5 -1.5
[ ] 17
1 2 [ ]
10

Click here to see answer by ikleyn(52776) About Me 

Question 1193030: Hi! I just need help with this last question on my homework, it is fill in the blank. Unsure of how to do this, any help would be very appreciated.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Explain how the graph of the function ​f(x)=-1/(x+4)^2 can be obtained from the graph of y=1/x^2. Then graph f and give the domain and range.
To obtain the graph of f, shift the graph of y=1/x^2 (up/ down/ to the left/ to the right) 4 units, reflect across the ______ (x axis/ y axis) and shift 5 units ________(to the right/ to the left/ up/ down)

Click here to see answer by ikleyn(52776) About Me 

Question 1193028: hello, so I've tried to type this as clearly as I could. I have this fill in the blank question on my homework I'm unsure about and could really use the help. I left the answer choices next to the blanks, the final blank is asking for a solution. thank you!
Explain how the graph of the function f(x)=8/x can be obtained from the graph of y=1/x. Then graph f and give the domain and range.
To obtain the graph of​ f,__________ (shrink/stretch) the graph of y=1/x__________(vertically/ horizontally) by a factor of____.
(Enter your response here.)

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

Question 1193095: A boat travels 120 miles downstream in the same time as it travels 105 miles upstream. The speed of the current is 7 mph. What is the speed of the boat?
Click here to see answer by ikleyn(52776) About Me 

Question 1193132: 1.The sum of the sides of the triangle ABC is equal to 400 m. A = 38°, B = 58°. Find the side AC
Click here to see answer by josgarithmetic(39616) About Me 
Question 1193132: 1.The sum of the sides of the triangle ABC is equal to 400 m. A = 38°, B = 58°. Find the side AC
Click here to see answer by greenestamps(13198) About Me 

Question 1193147: Jim began 248 ​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 8 hours. If Jim walks at a rate of 5 miles per hour and rides at 37 miles per​ hour, find the amount of time he spent on the bicycle.

Click here to see answer by Alan3354(69443) 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, 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