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dd/dt has units of ft/min. The question asks for flow rate in ft^3/min....
a) P3 initially accelerating in the + x direction means the net force on P3, in the y direction, is 0: [(kq1q3)/(r13^2)]sin45 + [(kq2q3)/(r23^2)]sin53.36 = 0 Divide out common factors k and q3, and sub in known quantities to solve for q2: [(70.5 *
Take the smallest 5 digit number, 10000, subtract 23, and divide the result by 36 - this gives 277.14, so the smallest integer multiplier we can use on 36 to get a five digit number is 278. Now use a graphing calculator (or Excel spreadsheet) to generate a
Resistance is proportional to length, so it will also increase by 20%.
(3/5)(2/4) = ?
You pulled black 7 times out of 20. Let x be estimated number of black cubes in the bag of 200 cubes. 7/20 = x/200 x = ____ Use a similar process for estimating The number of red cubes in the bag.
AD is 30. (Add AK and KD, both given) Since AB = CD, this is an isosceles trapezoid. Thus we have symmetry: Given that BK is perp. To AD with AK = 10 We can draw CL perp to AD; and by symmetry, LD will also be 10. This leaves KL as 10 ( given that KD is
Angular acceleration: = change in speed/ change in time = [(5500 - 9000)*(2pi/60) rad/s] / 7.5 s = -48.869 rad/s^2 T = angular acceleration*moment of inertia = ______ N*m
Let x be the magnitude of the first force (and the larger force). Let y be the magnitude of the second force. Greatest resultant happens when they act in the same direction: x + y = 29 Least resultant happens when they act in opposite directions: x - y = 3
The file is just photo.gif (the rest is the path). The type of link is an image link.
(2/3)(2x + 19) - 11 = 95 x = _____
Yes, good work!
Great question! Student can solve by using y in terms of x and then verify their answer by using x in terms of y. Also like Reiny's elegant solution.
(22/50)(100) = ____ %
The difference between -5 mC and -6.6 mC is 1.6 mC. Half of this amount, 0.8 mC, is how much charge the -6.6 mC body must give to the other body so that they are equally charged. 0.8 mC x 6.24150975⋅10^15e/mC = _______ electrons
The shape does matter as the question asks for the rate in cubic ft/ min. If this were a cylinder, we could express this rate of change of volume in terms of t as: Pi*r^2 * dd/dt cubic ft/min. However, an inverted cone shape does not make sense for this
6c1 * 8c2 = 6 x 8 x 7/2 = 168
"E in terms of M" is like "y in terms of x", so let M be the independent variable and let E be the dependent variable. Thus we have two points on this linear graph: (25, 40) and (125, 280) Use m=(E2 - E1)/(M2 - M1) to get the slope. Sub slope and one of
Let x be the number of years after which A and B have the same amount of money. 500 + 50x = 500(1.05)^x Work out x with a table of values or a graphing calculator to get x=0 (doesn't count) or x ~ 27 years.
The 4 possible outcomes are HH, HT, TH, TT. So theoretically, HH should occur 1in 4 times. 1/4 = x/20 x = 5 So why is it actually 2 in 20 when theoretically it should be 5 in 20? One reason is that theoretical probabilities gain more accuracy with larger
List all the possible outcomes: 1, 2, 3, 4, 5, 6 There are 6 of them. List all the even numbers: 2, 4, 6 There are 3 of them. So the chance of rolling an even number is 3/6, or 1/2. Use similar logic for a number less than 5. ( it wasn't clear from your
The independent variable is the one that you are able to change - the mass of the car. The dependent variable is distance, because we are seeing what happens to it as a result of changing the car's mass. Controls: 1. Starting position 2. Path 3. Some
The coefficient of determination is always positive.
That's correct. Then, 2x^2+8x-24=0 2(x^2+4x-12)=0 2(x+6)(x-2)=0 x = -6, x = 2
Let x be the time running, in minutes. Then 2x, 4x, 8x, and 16x are the times on the bike, truck, car, and helicopter, respectively, in minutes. Total time = 2 hours and 4 minutes = 124 minutes x + 2x + 4x + 8x + 16x = 124 x = 4 minutes 4 minutes = 240
Let d be the distance she drives to school, in km. Let t be the difference between the time school starts and the time the teacher leaves for school, in hours. 5 minutes = 1/12 hours 4 minutes = 1/15 hours d=s*t d=24 * (t+1/12).....eq1 d=(1.25)(24) *
Time required to stop: theta = (1/2)(w0 + w)*t 163(2π) rad = (1/2)(30(2π) rad/s +0 rad/s)*t t ~ 10.87 s Angular acceleration of wheel: = (0 rad/s - 30*2π rad/s) / 10.87 s ~ -17.3 rad/s^2 Required slowing torque: T = I * alpha = (0.015 kg*m^2)(-17.3
"7 more than twice Jenny's age" means 2 times Jenny's age plus 7
Looks like you used 500 as your principle, P, but 500 is your interest, I. Use I=Prt and solve for P.
On the first line, the 2 should get distributed only across the first set of brackets: (2x+4)(x+2)-4=28 Work it down again similar to what you did, then get all your terms to one side of the equation. Solve by factoring (if possible) or by using the
It looks good most of the way; just a small error near the end: First work out -2.1 + 13.13, and then divide the result by 0.24. Same correction needed for your second solution.
Yes.
Populations normally grow exponentially, so transforming your data with logarithms should work. What base did you use? You might also try the natural logarithm.
A better description is needed, since this forum doesn't display images.
You are right about the negative answer. Assuming the stone is thrown straight up, d=(10 m/s)(10 s) + (1/2)(-10 m/s^2)(10 s)^2 d= -400 m It coud be possible if the stone were thrown straight up, over a deep pit. It would mean that the stone was located
Assuming you meant the region below y= 2cos(x) and above y=sec(x): Area = int (-π/4)^(π/4) (2cos(x) - sec(x)) dx = (-π/4)^(π/4) [2sin(x) - ln|sec(x) +tan(x)| ] =[2sin(π/4) - ln|sec(π/4) +tan(π/4)|] - [2sin(-π/4) - ln|sec(-π/4) +tan(-π/4)|] =
A speed of 166.35 mph means he travels 166.35 miles in one hour. If he can travel this many miles in one hour, how far can he travel in 5 hours?
Correction: under "Before the leak:" , 437V should be 437V/RT
PV=nRT V,R, and T remain the same before and after the leak. Let the combined moles of He and Xe be n1 before the leak, and n2 after the leak. Before the leak: n1=874V/RT Because n1 is equally split between He and Xe, the mole fraction of n1 that is He is
PV=nRT Since your volume and pressure are provided in L and atm, respectively, you can use the version of the gas law constant that has these units: R= 0.082057 L*atm/(K*mol) Now convert temperature from deg C to deg K: T=273 K + 30 C = _____K Substitute
Do a search on: "A race car is initially travelling at 75 mph at point A as it enters the S-curve shown." First result, Kinematics of Particles - Curvilinear Motion Has this question, with a video and further explanations as to how to go about solving it.
Right
As a start: Because she is making regular deposits to save money, at the same frequency as compound interest is being accrued, this is a standard future value annuity. Use the future value annuity formula, taking care about which variable the question is
What have you tried? A quick search of force between two charges gives you Coulomb's Law: F=(k*Q1*Q2)/d^2 Make sure your charges are in Coulombs and d is in metres.
Since the child is blonde, and blonde hair is recessive, the child has two blonde hair genes, bb. In order for this to happen, the child would need to have inherited a "b" from each parent. The parents can't be bb because that would mean they too were
P = 15/20 = 3/4 Since 3/4 of the experimental group bought roses, we can estimate that 3/4 of the larger group would do so too. 3/4 * 120 = ______ people
You could use volume = pi*r^2h
Yes, that works. Just be sure to use lowercase "y" in your equation to match the variable in your sentence.
Thanks for catching the denominator errors. (Drawing can mean either with or without replacement; depends on the textbook, country, etc. so always good to clarify)
Angular acceleration of flywheel: alpha = (120 rad/s - 0 rad/s)/14 s alpha ~ 8.571 rad/s^2 Moment of inertia of flywheel: I = mk^2 I = (50kg)(0.3 m)^2 I = 4.5 kg*m^2 Torque applied by motor: Ta - Tf = I*alpha Ta - 0.07 N*m = (4.5 kg*m^2)(8.571 rad/s^2) Ta
