# Posts by Jus

Total # Posts: 33

math
A right circular cylinder is to be inscribed in a sphere of given radius. Find the ratio of the height to the base radius of the cylinder having the largest lateral area.

Algebra
A model scale of an addition shows 12cm wide base and rises to 15cm. Actual base will be 120 ft. What will the height of the addition be?

Statistics
2. The arrivals of customers at a drive-in banking window are governed by the Poisson distribution. Each customer requires 5 minutes to transact his or her business at the drive-in window. The average customer arrival rate is 10 per hour. A customer arrives at random. What is ...

Statistics
An American style roulette wheel has individual compartments for the numbers 1 to 36, plus 0 and 00. If the payoff for a single-number bet is 35:1, what is the expected value of the winnings on any single-number bet?

Trig
The angle 2x lies in the fourth quadrant such that cos2x=8/17. 1.Which quadrant contains angle x? 2. What is the measure of x, in radians? ---------------- I know that angle 2x is in quadrant 4, but quadrant x...? I am not sure where it is and how to get the measure of it in ...

Math
thank you could you help me with part 3 too? I know that part two is the same as part one except you divide. please help with part 3, thank you in advance reiny

Math
1. Given the product law of logarithms, prove the product law of exponents. 2. Given the quotient law of logarithms, prove the quotient law of exponents. 3. Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0 Please explain these to me. All I know is that ...

Math
I have: loga=(loga/logb)logb (loga/logb )(1/loga)=logb (1/logb)=logb Ok now what?

Math
Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0

Math
Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0

Math
Well I know that a product law of logs is log(a) + log(b) = log(ab) and the quotient law of logs is log(a)-log(b)=log(a/b) But how do I change those laws, or relate it to prove the law of exponents. I know what the law of exponents are, but I just need help proving it IN ...

Math
Given the product law of logarithms, prove the law of exponents. Given the quotient law of logarithms, prove the quotient law of exponents.

Math
When you drink a cup of coffee or a glass of cola, or when you eat a chocolate bar, the percent, P, of caffeine remaining in your bloodstream is related to the elapsed time, t, in hours, by t=5(logP/log0.5). a) how long will it take for the amount of caffeine to drop to 20% of...

Math
At a concert, the loudness of sound, L, in decibels, is given by the equation L=10log(I/I_o), where I is the intensity, in watts per square metre, and I_o, is the minimum intensity of sound audible to the average person, or 1.0 x 10^-12 W/m^2. a) The sound intensity at a ...

Math
The aperture setting, or f-stop, of a digital camera controls the amount of light exposure on the sensor. Each higher number of the f-stop doubles the amount of light exposure. The formula n=log_2(1/p) represents the change in the number, n, of the f-stop needed, where p is ...

Math
The aperture setting, or f-stop, of a digital camera controls the amount of light exposure on the sensor. Each higher number of the f-stop doubles the amount of light exposure. The formula n=log_2(1/p) represents the change in the number, n, of the f-stop needed, where p is ...

Math
At a concert, the loudness of sound, L, in decibels, is given by the equation L=10log(I/I_o), where I is the intensity, in watts per square metre, and I_o, is the minimum intensity of sound audible to the average person, or 1.0 x 10^-12 W/m^2. a) The sound intensity at a ...

Math
Show that if log_b (a) = c, and log_y (b) = c, then log_a (y)=c^-2

Exponential Functions
Show that if log_b (a) = c, and log_y (b) = c, then log_a (y)=c^-2

pre-calc
log50-log20=tlog(3/2)

pre-calc
Ok but I have log50-log20=tlog3-tlog2 Now what?

pre-calc
One day, a controversial video is posted on the Internet that seemingly gives concrete evidence of life on other planets. Suppose that 50 people see the video the first day after it is posted and that this number doubles everyday after that. a) write an expression to describe ...

pre-calc
The probability, P, in percent, that a person will respond to a certain ad can be modelled by the equation P(n)=1-2^(-0.05n), where n is the number of days since the ad began on tv. After how many days is the probability greater than 20%? my work: 0.20=1-2^(-0.05n) then i ...

pre-calc
y=10(0.5)^(t/19.74) My question: is this a horizontal stretch by a factor of 19.74? y=10(0.5)^(8t) My question: is this a horizontal compression by a factor of 1/8? y=10(0.5)^x + 1 My question: is this a vertical translation of up 1 unit? y=10(0.5)^(x-1) My question: is this a...

Logarithm Functions
Solve this log function: a) log (sqrt(x^2-3x))=0.5 b) log (sqrt(x^2+48x))=1

Logarithm Function
Chels is a recent business grad and has been offered entry level positions with two firms. Firm A offers a starting salary of 40,000 per year with a 2000 per year increase guaranteed each subsequent year. Firm B offers a starting salary of 38500, with a 5% increase every year ...

Logarithmic Function
A spacecraft is approaching a space station that is orbiting Earth. When the craft is 1000 km from the space station, reverse thrusters must be applied to begin braking. The time, t, in hours, required to reach a distance, d, in km, from the space station while the thrusters ...

Exponential Word Problem
An investment pays 3.5 percent interest, compounded quarterly. a) write an equation to express the amount A, of the investment as a function of time, t, in years. The answer is A(t)=P(1.00875)^4t Ok, but my question is this: Why isn't the equation A(t)=P(1.035)^4t, if the ...

exponential function
c) continued: after 10 years A=(1.08)^10 =2.16 therefore 2.16% increase? Am I doing this right? d) Explain why the answers to parts b and c do not depend on the amount of the initial principal.

exponential function
did i do part c right? c) determine the percent increase in value of the account after: 5 years, A=(1.08)^5 =1.47 therefore 1.47 % increase???

exponential function
An investment pays 8% interest, compounded annually. a) write an equation that expresses the amount, A, of the investment as a function of time, t, in years. b) determine how long it will take for this investment to double in value and then to triple in value. c) determine the...

pre-calc
The stellar magnitude scale compares the brightness of stars using the equation m_2 - m_1 = log(b_1/b_2). where m_2 and m_1 are the apparent magnitude of the two stars being compared (how bright they appear in the sky) and B_2 and B_1 are their brightness (how much light they ...

calculus
56pi

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