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• ### please i need help on this quote?

what is the meaning and significance of this quote from plato?

"allegory of the ship"

• ### please i need help on this quote?

what is the meaning and significance of this quote by Machiavelli?

"there cannot be good laws where there are not good arm"

• ### please i need help on this quote?

what is the meaning and significance of this quote by pericles?

"The worst thing is to rush and into action before the consequences have been properly debated"

A bomb falls with velocity v(t) = C(1-e^{-kt}) where C and k are constants

(a) What is the terminal velocity of the bomb; that is, what is the maximum valocity the bomb can reach regardless of the height of the bomber?

The mass in mg of a colony of bacteria after t hours is 30 e^{t/2}. How quickly was the colony growing after 6 hours?

________________mg per hour

The temperature in degrees Fahrenheit of a corpse t hours after death is 67 + 31 e^{-t/24}

How quickly is the temperature decreasing after 5 hours?

______________________degress Fahrenheit per hour

A grain storage silo is in the shape of a giant beer can 100m high and the base is a circle of radius 20m. The height of grain remaining in the silo after t days is h(t) = 100-(t^2/4).

How quickly is height increasing after 10 days? __________________

The mass in mg of a colony of bacteria after t hours is 30e^t/2 How quickly was the colony growing after 6 hours?

____________________mg per hour

The population (in millions) of a certain country t years after 1900 is given by the function p(t). There were 450 million in 1900. If p^\prime (t) =6 throughout the time span 1900 to 1910, what was the population of the country in 1907? (Hint: What was the practical signifigance of p^\prime(t)=6 )

_______________people

On the planet Maximillian live Sprogs and Graks. Initially there were 3200 sprogs and 400 Graks. The population of Sprogs doubles every 10 years and that of Graks doubles every 5 years.

a) How many Graks were there after 2 1/2 years?

_________________Graks

On the planet Maximillian live Sprogs and Graks. Initially there were 3200 sprogs and 400 Graks. The population of Sprogs doubles every 10 years and that of Graks doubles every 5 years.

a) How many Graks were there after 2 1/2 years?

_________________Graks

The half-life of carbon-14 is 5730 years. A bone is discovered which has 30 percent of the carbon-14 found in the bones of other living animals. How old is the bone?

___________years

• ### Please i need help on this math problem?

Use logarithms to solve the equation for x. [Hint: take logs of both sides and simplify]

10^x=0.401

x=

• ### Please i need help on this math problem?

Use logarithms to solve the equation for x. [Hint: take logs of both sides and simplify]

10^x=0.401

x=

An airline sells all the tickets for a certain route at the same price. If it charges 200 dollars per ticket it sells 10,000 tickets. For every 30 dollars the ticket price is reduced, an extra thousand tickets are sold. Thus if the tickets are sold for 170 dollars each then 11,000 tickets sell. It costs the airline 100 dollars to fly a person.

(a) Express the total profit P in terms of the number n of tickets sold.

(b) Express the total profit P in terms of the price p of one ticket.

(a) P(n)= $_____________________ (b) P(p)=$_____________________

The picture above shows a triangular prism. The ends of the prism are equilateral triangles with side length x meters. The other dimension of the prism is L meters.

(a) Find the volume V of the prism in terms of x and L.

V(x,L)= ___________________m^3

(b) Water is entering the prism at a rate of A m^3/hr. The prism is empty at time 0. Express the depth d of the water in meters in terms of A, the length of time t the water has been entering the trough, and the length L of the prism.

d(A,t,L)= ____________________m

A commuter railway has 800 passengers a day and charges each one 2 dollars. For each 9 cents the fare is increased, 8 fewer people will ride the train. Express the income I from the train in terms of the ticket price p (in dollars).

I(p)= $__________________ 1 AnswerMathematics1 decade ago • ### Please i need help on this math problem? An aquarium with a square base has no top. There is a metal frame. Glass costs 5 dollars/m^2 and the frame costs 4 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.) C(h) =$ _________________

For the function f(x) = sqrt of x we know f(4)=2 and f(9)=3.

(a) Use linear interpolation to find sqrt of 5

sqrt of 5 is approximately_______________

(b) Use the table of square roots in the back of the text to find the error to 3 decimal places.

Error =_______________

(c) What is the percentage error? (Recall that percentage error is 100*error/(exact answer).)

Percent error = __________________

For the function f(x) = sqrt of x we know f(4)=2 and f(9)=3.

(a) Use linear interpolation to find sqrt of 5

sqrt of 5 is approximately_______________

(b) Use the table of square roots in the back of the text to find the error to 3 decimal places.

Error =_______________

(c) What is the percentage error? (Recall that percentage error is 100*error/(exact answer).)

Percent error = __________________