12/01/19

Optimization Problem - Shortest distance from a line to a point
“Use mathematical optimization to prove that the shortest distance from a fixed point A to any point on a given line is the length of the line segment joining the point A to the line and is... more
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12/01/19

Finding absolute extrema
Find the absolute extrema of f(x)=20x3-3x5+20 on [-2,3].
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12/01/19

Calculus word problem
You are the manager of a delivery company and you want wooden crates with an open top and a square base. The volume of each crate needs to be exactly 62500cm3 and as the manager you want the cost... more
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12/01/19

Interval question
Determine the intervals on which the given function is concave up or down. Identify the inflection points.f(x)=x4-24x2+1
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12/01/19

Implicit differentiation question
Use implicit differentiation to find dy/dx. Find the slope of the curve at the given point.Y3-6x+1=0. (-1, sq root 2)
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12/01/19

Differentiating question
Differentiate: A) f(x)=ln((x^2+x-1)/x)B) f(x)=e^x^2+9x+1
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12/01/19

probability and statistics

Find the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success is 40%. Round to the nearest tenth of a percent.
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12/01/19

probability and statistics

A member of congress is interested in whether her constituents favor a proposed gun-control bill. Her staff reports that 361 letters on the bill have been received and 323 of these oppose the bill.... more
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12/01/19

The value of Y varies indirectly as X. When X = 20, Y = 4. What is the value of Y when X = 40?
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12/01/19

probability and statistics

An opinion poll calls 1334 randomly chosen residential telephone numbers, then the interviewer asks to speak with an adult member of the household to ask "How many movies have you watched in a... more
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11/30/19

Please helppppp
find the standard equation of the circle through (0,1) , (2,3) and (1,1+√3)
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11/28/19

Precalc Question
A biochemical experiment involves combining together two protein extracts. Suppose a function φ(t) monitors the amount (nanograms) of extract A remaining at time t (nanoseconds). Assume you know... more
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11/27/19

Sinusoidal Functions

The propeller of a boat at dock in the ocean will rise and fall with the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2m on the peaks of... more
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11/26/19

Solving a percent mixture problem using a system of linear equations
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 11% vinegar. The chef wants to make 210 milliliters of a... more
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11/17/19

Determine the axis of symmetry for the function f(x) = −2(x + 3)2 − 5.
Possible Answersx = 3 x = −3 x = 5 x = −5
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11/17/19

For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.
Possible Answers The vertex is (−2, 4), the domain is all real numbers, and the range is y ≥ 4. The vertex is (−2, 4), the domain is all real numbers, and the range is y ≤ 4. The vertex is (2, 4),... more
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11/17/19

Find the endpoint of segment GE if G is at (4,5) and the midpoint of the segment M is at (6,-2).
Find the endpoint of segment GE if G is at (4,5) and the midpoint of the segment M is at (6,-2).
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11/17/19

The endpoints of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
The endpoints of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
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11/13/19

Math word Problem
Jen recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 8 miles per hour faster than on her way home. If Jen spent a total of 2 hours... more
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11/13/19

How to determine the scale facter used to dilate rectangle ABCD to rectangle FGHI when AB=12ft BC=18ft HI=9ft and IF=13.5ft
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11/13/19

Simplify the following to a single trigonometric function.
(2-cos^2(x)/sin^2(x))-1
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11/13/19

Ellipse Calculus Question
at what point is the slope of the tangent line to the ellipse(x^2/25+y^2/4=1) equal to =1 b)what is the lowest the x coordinate (x,y), what is the largest the x coordinate (x,y)
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11/13/19

Calculus Problem

find y',y'(3) and the equation of the tangent line to the curve, x^2+(sin(2*pi*y)) = 9, at the point (3,8)1) the derivative of x is given by y'=.....2)the slope of the tangent line to the curve at... more
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11/13/19

We want to select a committee of five members from a group of seven women and six men. The order of selection is irrelevant.
We want to select a committee of five members from a group of seven women and six men. The order of selection is irrelevant.How many committees can we make with fewer men than women? Suggestion:... more
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11/13/19

Susan has a collection of 77 nickels and dimes. If the number of nickels is six times the number of dimes, how many nickels and how many dimes does she have?
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