An ant that weighs StartFraction 1 Over 750 EndFraction1750 ounces can lift one fifteenth115 ounces. Use this information to answer parts ​(a) through ​(c). ​(a) The​ unit-less scale of what the ant weighs to what it can lift is 1​ : 50 50. ​(b) Find the equation that represents this relationship between an​ ant's weight​ (W) and the weight of what it can lift​ (L).   The equation is Lequals=nothing     W.

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

Q: Solve for x: 3x+1 = 27

A: The equation is given by,

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A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...

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Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm. 

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A: A laptop is purchased for $1850. After each year, the resale value decreases by 25%.Let the resale v...

Q: Determine whether each proportion is true or false. 27) 8/10 = 2/5/2

A: The given proportion is 8/10=2/5/2.It can be written as 8:10=2:5/2.

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A: Given:The system of equations is

Q: Suppose that the functions q and r are defined as follows. =q(x)=−x r=-2x^2+1 Find the following. (r...

A: In this question we have two functions q(x) and r(x), for which we have to find (roq)3 and (qor)3

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A: In order to break even we must have C(x)=R(x)

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A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

Q: (-1+i)-(-7+4i)-5

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Q:

A: The given quadratic equation is,

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A: Consider the given function:

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Q: Sketch the graph of f (x) = 3 x +1

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A: Given that two function:

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Q: Factor the algebraic expression 4/10 1/10 X - X

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.