Answers edited by Trevor Ryan.
 Back to user's profile

If a cup of coffee has temperature 95∘C in a room where the temperature is 20∘C,
then, according to Newton's Law of Cooling, the temperature of the coffee after t
minutes is T(x)=20+75e^(t/50). ?

What are the asymptotes for #(x^2+4x+3)/(x^2  9)#?

Question #4444b

The girl's brother stands at the edge of the Golden Gate Bridge and throws a penny upwards at 29 m/s at an angle of 34°. How long does it take the penny to fall to the water, 227m below? How far from the base of the bridge does the penny hit the water?

How do you simplify #1/(2+3i)# and write in a+bi form?

How do you rewrite #((a^2b^5)/c^3)^2# using a positive exponent?

What is the trigonometric form of #12 e^( ( pi)/2 i ) #?

A balanced lever has two weights on it, the first with mass #3 kg # and the second with mass #37 kg#. If the first weight is # 9 m# from the fulcrum, how far is the second weight from the fulcrum?

If #A= <6 ,9 ,1 ># and #B= <4 ,1 ,4 >#, what is #A*B A B#?

What are synchronous machines?

How do you find the asymptotes for #f(x) = (3x + 5) / (2x  3)#?

Question #d9e88

A projectile is shot from the ground at an angle of #(5 pi)/12 # and a speed of #4/9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

What ions are present in NaCl, Na2CO3, MgSO4, and NH4Cl?

How do you evaluate #sec(18pi)#?

How do you find the derivative of #lnxsqrt(x^2+1)#?

How do you prove the statement lim as x approaches 4 for # (x^2) = 4# using the epsilon and delta definition?

Question #eefeb

The difference between the degree measures of two supplementary angles is 80°. What is the degree number of the larger angle?

How do you find the determinant of #((1, 0, 0, 0), (sqrt3, 2, 0, 0), (0.003, 0, 3, 0), (1.432, sqrt37, pi, 1))#?

How do you find the derivative of #sin(x)/[1cos(x)]#?

Question #f45fa

How do you find the Integral of #sqrt(x^2  16)/ x dx#?

What is the difference between mole and molecule?

The cost function for a product is C(x)=0.8x^2 +120x+110.
How to find average cost over [0,600] ?

A 2150 kg truck traveling north at 42 km/h turns east and accelerates to 61 km/h. (a) What is the change in the truck's kinetic energy? (b) What is the magnitude of the change in its momentum ?

For #f(x)=2^x # what is the equation of the tangent line at #x=5#?

∥v∥=3
∥w∥=4
The angle between v and w is 1.2 radians.
How to calculate ? a) v⋅w =
,(b) ∥1v+1w∥=
, (c) ∥4v−4w∥=

What is acetylcholine classified as?

Given #f(x) = 2x + 1#, #g(x) = 3x³ 1# how do you find f(g(x))?

A weather rocket is launched straight up. Seconds into the flight, its velocity is 130m/s and it is accelerating at 19 m/s^2. At this instant, the rocket's mass is 59 kg and it is losing mass at the rate of 0.55 kg/s. What is the net force on the rocket?

A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of an arc covering #pi # radians on the circle?

What is the angle between #<1,7,2 > # and #<3,5,1> #?

Question #490a9

What is the limit of #sinx / x# as x goes to infinity?

What is #sqrt{sqrt3 + sqrt (3 + 8 sqrt (7 + 4 sqrt3#?

What is the derivative of #2^sin(pi*x)#?

Question #a8f63

A ball with a mass of #14 kg# moving at #15 m/s# hits a still ball with a mass of #17 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?

How do you find the determinant of #((2, 3, 5), (0, 1, 3), (0, 0, 2))#?

Question #adc16

What type of compound is CH3CH2CH3?

What is the greatest common factor of 21 and 63?

Question #55e72

How do you condense #ln(1+x^9)+1/2(ln(x)ln(sin(x) #?

What is the binomial theorem?

How do you graph #x + y = –2#?

How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos 2t dt# from x to pi/4?

Given #f(x)=x^2+1# with domain #{2,1,0, 1,3}# what is the range?

It takes 23.5 kJ of heat energy to raise the temperature of 100 g of a substance by 50°C. What is the substance?

What is the angle between #<1 ,3,8># and #< 4,1,5>#?

How do you prove #cos 3 theta = 4 cos^3 theta  3 cos theta#?

How do you solve #2/(3+x) = 25#?

How do you determine whether the function #f(x)=3x^5  20x^3# is concave up or concave down and its intervals?

Does #a_n=x^n/(n!) # converge for any x?

What is the least squares regression model for the following data points?: (1,3), (2,6), (3,19), (2,7), (8,9), (10,25)

How do you determine if #f(x) = x^3 + x# is an even or odd function?

Question #6dc14

Question #ce2b6

Is it correct to write #1^@=2pi/360^@#? Yes or no, and also why?

How would you balance: C3H8 + O2 > CO2 + H2O?

How do you translate into symbols: The difference between n and 14?

What is the domain and range of #y=2x6#?

How does genetics use the principles of probability?

If a current of 40 mA flows through a series circuit consisting of a 0.4 µF capacitor and a resistor in series with a 4 kHz, 40 Vac source, what is the total circuit impedance?

How do you implicitly differentiate #ln(xy)=xy #?

What are the applications of power series in electrical engineering?

An atom contains 70 protons, 70 electrons, and 99 neutrons. What is the mass number?

What is needed to produce an electromagnet?

Why can't a triangle have a right angle and an obtuse angle?