 312 Answered Questions for the topic College Math

College Math Word Problem Pre Calculus

04/03/18

#### The half life of a radioactive element is 23 days. How long until 21% of the initial amount remains? Include units in your answer?

The half life of a radioactive element is 23 days. How long until 21% of the initial amount remains? Include units in your answer?
College Math Precalculus Word Problem

03/27/18

#### Word problem

A certain species of birds was introduced in a certain county 25 years ago. The population doubles every 10 years, and now the population is 13,000. a) What was the initial size of the population?... more
College Math Precalculus Word Problem

03/27/18

#### After 3 days a sample of radon-222 has decayed to 58% of its original amount.

After 3 days a sample of radon-222 has decayed to 58% of its original amount. a) What is the half life of radon-222? b) How long will it take the sample to decay to 20% of its original amount?
College Math Math Mathematics

03/06/18

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when... more
College Math Math Calculus

03/04/18

#### PLEASE HELP!!! question: Two positive numbers have the property that one more than the first number plus four less than three times the second, totals to 100.

(i) If we call the first number x, and the second z, write an equation that relatesthese numbers.(ii) Use (i) to write an equation that gives the second in terms of the first.(iii) Use (ii) to... more

02/24/18

#### Put the following functions into standard form by completing the square. Use proper notation throughout.

f(x)=3x2+x-10   I dont know what goes next after these two steps:  3(x2+1/3x+(1/6)2-1/36)-10  3((x+1/6)2-1/36)-10
College Math

02/11/18

#### The gas/oil ratio for a certain chainsaw is 20 to 1.

a. How much oil (in gallons) should be mixed with 7 gallons of gasoline? b. If 1 gallon equals 128 fluid ounces, write the answer in fluid ounces. Mix ______ gallons of oil with 7 gallons of gas... more
College Math Math Math Help

02/11/18

#### Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices (metric spaces, Real analysis)

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2... more

01/30/18

#### Prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a, b]=a. Is completeness relevant?

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a,... more
College Math

01/29/18

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