The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam one third13 foot wide, one half12 foot high,... more
in a class of 80 students, 65 studied English, 60 studied Hindi and 55 studied Sanskrit. Find the maximum number of students who studied all the three languages.
A cuboid has a square base. The height of the cuboid is twice the length of the side of the base. The S.A of the cuboid is increasing at a rate of 10cm^2 s^-1. Find the rate of increase of V, H=12cm.
I'm confused whether the answer is 18 or 36.
Substitution and elimination
Determine the value of n that makes a system of equations with a solution that has a y value of 2. 5x+6y=32 2x+ny=18
Let f be the function defined byf(x) = x^3 - x^2 - x + kwhere k is a constant.On what interval(s) is f increasing ? (-1, 1/3) (-infinity, -1), (-1/3, infinity) (-1/3, 1) none of these (-infinity,... more
How to find rate of change of an area between a circle and square
a circle is inside a square. At a particular time, the radius of the circle is decreasing at a rate of 3 m/min and the sides of the square are decreasing at a rate of 2 m/min. when the radius is 3... more
Equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms-1) and uniform acceleration a(ms-2) is: s=ut+1/2at2
Equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms-1) and uniform acceleration a(ms-2) is: s=ut+1/2at2ALL NUMBERS ARE TO THE POWER OF EXCEPT... more
Arithmetic/Accounting balancing $ 100 spent-retained.
A person has 100 $.The person spends 40 $ and retains 60 $.The person spends 30 $ and retains 30 $.The person spends 18 $ and retains 12 $.The person spends 12 $ and retains 0 $.Total spent =... more
My question is about lengths and I am so lost.
The length of a rectangle is 3 centimeters more than its width. If the width is increased by 2 centimeters and the length is increased by 4 centimeters, a new rectangle is formed that has an area... more
Please help! Algebra 2 3x3 equation
A football team scored a total of 50 points in one game. They scored 14 times. The scoring was made up of touchdowns (6 points each), points after touchdown (1 point each) and field goals (3 points... more
How many three digits numbers can be made if the tens digit is twice as big as the units digit and the sum of the three digits is less than 10?
a. 10 b. 18 c. 29 d. 87 e. 245
The resistance of blood flow in a blood vessel (R)
The resistance of blood flow in a blood vessel (R) is inversely proportional to the fourth power of the radius (r) of the respective blood vessel a. Build a function based on the given information.... more
Algebra 1 solving inequalities
In order for Brady to earn a B in his biology course. His test scores must average at least 80%. On the first 5 tests he has a average of 77%. There is one test remain in the course. What is the... more
Physics, Vectors and resultant vectors
1) A dog is on a street chasing cars. He runs 30m west and stops. He then chases another car 20m north before chasing the mailman 60m East...a) What is the dogs distance traveled?..b) What is the... more
Differentiate each of the following functions. (Do not use the product rule and quotiate rule
a) 2x3 + 3/x3 + 4∛x + 5/∛xb) f(x) = (3x - 2x√x)(7x + 2)c) f(x) = (t^2 - 2t + 3) / 2t^2
math probability word problem
11. Mr. Wu’s biology class is writing group reports aboutthe Hawaiian Islands. He has a total of 10 groups.Mr. Wu will assign an island and a topic at randomto each of the groups. No two group... more
The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function. (Round your answers to two decimal places.) C(x) = 2000 + 2x - 0.0001x2
(a) What is the actual cost incurred in producing the 981st disc?(b)What is the actual cost incurred in producing the 1871st disc?(c) What is the marginal cost when x = 980?(d)What is the marginal... more
Solve the exponential equation. Express the solution as an exact answer in terms of natural logarithms
𝑒9−5𝑥=6981I got the decimal approximation of the answer but I have to enter the log version into webwork as well and because it is so specific about how the answer must be formatted I cannot seem... more
Find any horizontal asymptote of the function (Please show the work to get the asymptote)
a) f(x) = cos(pi(x)/3x+2)b)h(x) = arctan(1+e^x)
physics 1 problem (magnitude and angle of vector
Forces of 50 N at 20 degrees, and 40 N at an angle of 250 degrees, measured counter-clockwise from the positive x-axis, act on an object.a) What is the magnitude of the resultant force (in... more
In a time of t seconds, a particle moves a distance of s meters from its starting point, where s = 5t2 + 3.(a) Find the average velocity between t = 1 and t = 1 + h if each of the following is... more
i NEED HELP IMMEDIATELY
A company manufactures and sells mini-recorders. A survey of office supply stores indicated that at a price of $88 each, the demand would be three hundred recorders, and at a price of $38 each, the... more
Mth-143 Reducing a cereal box’s volume by 15%
Consider reducing two, but not three of the dimensions by the same number of cm. What would the new dimensions be in each case? The original dimensions are 30x24x6The original volume is 4320The new... more
mark decided to improve his yard by planting hostas and geraniums. he can spend $100 on the plants. Hostas cost $9.75 each and geraniums cost $6.50.
a) write an equation to represent all possible number of plants that mark can buy.b) what is the greatest amount of hostas mark can buy?c) if mark buys 5 hostas, how many geraniums can he buy?
The median home price in the U.S. over the period 2004–2009 can be approximated by P(t)=-5t^2+75t-30 thousand dollars (4≤t≤9) where t is time in years since the start of 2000.
A) What was the average rate of change of the median home price from the start of 2007 to the start of 2009?B) What, if anything, does your answer in part (a) say about the median home price in... more