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Question 1015058: Hello, could you please help me with this word problem: In 1971, Apollo 14 astronaut Alan Shepard hit to golf balls on the moon. A golf enthusiasts of the future decides to play golf on many worlds throughout the solar system, and hits the golf ball consistently at an angle of 45° and a speed of 144 feet per second. The path of the golf ball can be modeled by the quadratic equation: y=- g/20736 x^2+x where X is the balls horizontal position (in feet) and G is its corresponding height (in feet) and she is the acceleration due to gravity (in feet per second squared).
When the golf ball is hit on Jupiter's moon Ganymede, it travels a horizontal distance of 4431 feet and reaches a maximum height of 1108 feet. What is the value of G on Ganymede?
Click here to see answer by ikleyn(52747)   |
Question 1015193: Please help me solve this problem, I would really appreciate it if you would look over my answer and tell me whether I am right or wrong.
The number of bacteria y after time t (in minutes) is given by y= 10000e^(-0.01t). At what rate is the population changing at t= 3 minutes? Express your answer to the nearest unit. Is this an example of natural growth or decay? Explain.
I took the first derivative and got:
y'(t)= 100e^(-0.01t)
Then plugged in 3 for t:
y'(3)= 100e^(-0.01(3))
And finally got:
y'(3)= 100e^(-0.03)
Is this right or wrong?
As for the explanation, I know that it's an example of exponential decay but I need help explaining why it is.
Thanks, your help is always appreciated!
Click here to see answer by solver91311(24713)  |
Question 1015192: Please help me answer this word problem:
The rate at which a radioactive isotope disintegrates is proportional to the amount present. If a 30g sample will contain only 20g after ten minutes, what is the half-life of this isotope, correct to the nearest tenth of a minute? Answer this question by first finding the amount y of this isotope as a function of time t(in minutes) in the form y=y0e^kt.
Thank-you, your help is always appreciated!
Click here to see answer by stanbon(75887) |
Question 1015192: Please help me answer this word problem:
The rate at which a radioactive isotope disintegrates is proportional to the amount present. If a 30g sample will contain only 20g after ten minutes, what is the half-life of this isotope, correct to the nearest tenth of a minute? Answer this question by first finding the amount y of this isotope as a function of time t(in minutes) in the form y=y0e^kt.
Thank-you, your help is always appreciated!
Click here to see answer by solver91311(24713) |
Question 1015308: Please help me solve this word problem:
A population of grasshoppers quadruples in twenty days. Assuming exponential growth, if the present population is 40 million, what will it be in fifty days? Answer the question by first finding the number y of grasshoppers as a function of time t(in days) in the form y=y0e^kt
Thank-you, your help is always appreciated!
Click here to see answer by Theo(13342)  |
Question 1015357: Please help me solve this problem and tell me whether my answer is correct or incorrect.
Express 13^n as a power of e.
I got:
13^n = e^x
(n)In(13) = x
Is this wrong?
Thanks, your help is always appreciated!
Click here to see answer by ikleyn(52747) |
Question 1015355: Please help me solve this problem and tell me whether my answer is correct or incorrect.
What is the x-intercept of the tangent to y=e^x at x=45?
I got y=e^45 with the tangent point being (45, e^45). Is this wrong?
Thanks, your help is always appreciated!
Click here to see answer by Alan3354(69443)  |
Question 1015468: I am in straight panic mode and can't figure this out
The following amounts represent the costs for producing a particular item. Assume the cost function for producing x items is linear. Find the cost function, revenue function, and profit function.
Fixed Cost Marginal Cost Per Item Item Sells For
15,000 8.50 45
What is the cost function C(x)=
What is the revenue function R(x)=
What is the profit function? P(x)=
Click here to see answer by Theo(13342) |
Question 1015662: please help me with this problem too:
Suppose that g is a function such that g'(1) = 0 and g' > 0 when x lies in the interval (-1,1)and g' < 0 when x lies in the interval (1,3). Sketch the shape of g for x values near x = 1. Indicate any special characteristics of g at x =1.
Click here to see answer by richard1234(7193)  |
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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, 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