338 Answered Questions for the topic College Math

04/23/18

#### Length and width of a rectangle

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle's diagonal measurement is 17 inches, find the height.   Give your answer rounded to 1 decimal place.

#### 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?

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

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?

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 Pre 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

#### 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

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

#### 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

Kate is touring Vietnam for four days. The car rental is $38.15 per day plus 12½ cents per mile. If Kate drives 380.5 miles, how much does she owe the rental company? A.$152.60 B. $201.16 C.... more College Math Math College 01/11/18 #### For the company to break even per month, how many students would have to purchase the course The manager of an e-learning company identified a new course that they could create and sell for$80 per student. The costs for adding this new course to their product offering would be: \$2,200 per... more
College Math Algebra 2

01/08/18

#### College math word problem

Suppose Juan and Pedro each throw a baseball into the air. The height of Juan’s baseball is given by h(t) = -16t2 +79t +6 , where h is in feet and t is in seconds. The height of Pedro’s baseball is... more
College Math

12/18/17

#### a basketball team played 66 games. they won 26 more than they lost. how many games did they win? how many games did they lose?

Need help trying to solve this problem cause I just don't understand

12/10/17

#### Interest Rates

8000 dollars is invested in a bank account at an interest rate of 8 per cent per year, compounded continuously. Meanwhile, 18000 dollars is invested in a bank account at an interest rate of 3... more

11/29/17

#### Find the exact value

A. cos 11π/12   B. cos 195◦
College Math Precalculus

11/29/17

#### find the exact value of the following

A.) sin 11π/12   B.) tan 165°
College Math Math Algebra 1 Probability

11/18/17

#### Question Below. Emergency! My Assignment is Due by 3pm

A jury has 12 jurors. A vote of at least 10 of 12 for "guilty" is necessary for a defendant to be convicted of a crime. Assume that each juror acts independently of the others and that the... more

11/12/17

#### scores on a SAT - statistics

Scores on a SAT form a normal distribution of µ = 500 and σ = 100   1) What is the minimum score necessary to be in the top 20% of the SAT distribution?   2) find the range of value that... more

11/03/17

#### Complex Roots

What are the complex roots of P(x)=x4-6x3+15x2+18x+10?

10/27/17

#### Maximums and Revenue

The demand function for a product is p=32-2q where p is the price in dollars when q units are demanded. Find the level of production that maximizes the total revenue and determine the maximum... more

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