Inside a semicircular tunnel of diameter 20 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.)

Hydrogen production by water electrolysis : I am asking for a full project with mass and energy balance about "hydrogen production by water electrolysis using alkaline with KOH as electrolyte? or anything related to the same subject?? |

Find the dimensions of the box of greatest volume : An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81. |

Construct a 95 percent confidence interval for the true mean : A laboratory tested 87 chicken eggs and found that the mean amount of cholesterol was 235 milligrams with milligrams. Construct a 95 percent confidence interval for the true mean cholesterol content, , of all such eggs. |

Calculate the npv-irr and non-discounted payback period : Calculate the NPV, IRR, and Non-Discounted Payback Period using Excel - Outline and write the essay starting with the evidence-supported defense of your points and slowly transition into an address of opposing points. |

How tall is the beam : Inside a semicircular tunnel of diameter 20 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.) |

Write the second degree taylor polynomial : let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders. |

Determine recursive formulae for the x and y : Construct a diagram to plot the positions and directions of both runners. Use trigonometry to find coordinates of points where buddy changes his direction. |

Historical development-school of thought-key contributor : Metaphysics(Definition, Historical Development, School of thought, key contributor, and principal issue? |

How far is the bottom of the ladder from the house : A 13-foot ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7 feet less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from the house? |

## A grab bag contains -probabilityProbability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities. |

## How much wire should be used for the circleHow much wire should be used for the circle in order to minimize the total area? |

## Use the model to estimate the number of geese at the lakeA biologist took a count of the number of migrating geese in a state park and recounted the park's population of geese for each of the next six weeks. |

## Determine each person full nameRuss, Don, Pamela, and Stephanie are the first names of four friends who all received sports scholarships. Krieger actually has a full ride, because he is a star in two different sports. Use the clues to determine each person's full name. |

## Determining inverse hyperbolic functionSolve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places |

## Medial triangleA. Use vector techniques to prove that a triangle and its medial triangle have the same centroid, stating each step of the proof. Provide written justification for each step of your proof. |

## Maximum volume of packageA rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square. |

## Important information about mathematics poisson distributionImportant information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting |

## Probability- binomial approximation to normal distributionProbability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university |

## Draw a venn diagramDraw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry. |

## What is the resulting spaceShow that these topologies are the same and What is the resulting space and identify the familiar quotient space given by this relation and then show precisely that the quotient topology on this space is the same as the usual one. |

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