Hi. My name is Jessalyn and I am taking Math 96. Last week my professor was teaching on scientific notations but not finding percentages and I am alittle confused. Here is the question for my hw assignment: Question: "Almost a billion people on the planet don't have access to clean drinking water." If there were 7.2×109 people in the world in 2014, then approximately what percent of them lived without clean drinking water? Round to the nearest tenth of a percent.

Q: Is 0 a real number?Justify

A: Yes, 0 is a real number. By definition, the real numbers consist of all of the numbers that make up ...

Q: The function to be optimized in a linear programming application is called the __________ function.

A: The function to be optimized in a linear programming application is called the objective function.

Q: If 16x + 16x - 1 = 10, find 22x

A: Given: if 16x + 16x - 1 = 10 then find 22x.

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Q: A _____ is the set of points (x, y) in a plane such that the difference in distances between (x, y) ...

A: The standard form of the equation of the hyperbola is,

Q: Explain why the domain of f(x) = x2 + k must be restricted to find an inverse function.

A: Given:

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A: Given:The given expression is

Q: What is an objective function?

A: An objective function can be defined as a real-valued function in the mathematical optimization prob...

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A: Given the inequality

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Q: Define the term absolute value along with a relevant example.

A: The term absolute value indicates the distance of a point or from the origin of a number line or coo...

Q: The domain of an exponential function f(x) = b x is _____.

A: The given exponential function is

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Q: what is meant by system of nonlinear equations?

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Q: 57° 46° 540 feet .Finding distance. In Exercise 27, find the width of the river assuming that the ho...

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Q: The cost for an animal shelter to spay a female cat is $82 and the cost to neuter a male cat is $55....

A: Given, The cost for an animal shelter to spay a female cat is $82 and the cost to neuter a male cat ...

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions. ...

A: Given

Q: The line segment perpendicular to the transverse axis passing through the center of a hyperbola, and...

A: Consider a parabola figure

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Q: Suppose that function f divides x by 3 and adds 11. Write an equation for f−1(x).

A: Given, the function f divides x by 3 and adds 11.That is

Q: There is a rectangular rug with area 108 square feet and it has a diagonal that measures 15 feet. fi...

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Q: Let V be a vector space over a field of characteristic not equal to two.  (a) Let u and v be distinc...

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Q: What does the product rule for exponents states?

A:

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Q: How to Simplify a rational expression? Explain with examples.

A: Rational expression:

Q: Write the standard form of the equation of the circle with center at (h,k)=(3,2) and radius r=5

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Q: In the Algebric terms what is meant by nvertible function?

A: Invertible function:

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Q: For Exercise, an equation of a degenerate conic section is given. Complete the square and describe t...

A:

Q: Solve the statement in the attached image:

A: To determine the value of the determinant.

Q: A coordinate system is placed at the center of a town with the positive x-axis pointing east, and th...

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Q: Consider a function defined as follows. Given x, the value f(x) is the exponent above the base of 2 ...

A: The given function is as follows.

Q: Prove that if the vector x emanates from the origin of the Euclidean plane and terminates at the poi...

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Q: For Exercise, write an equation of the line satisfying the given conditions.The line is perpendicula...

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Q: Complete the square and write the equation of the circle in standard form. x2 + y2 + 10x − 10y + 41 ...

A: Given: the equation

Q: Let S1 and S2 be subsets of a vector space V. Prove that span (S1∩ S2) ⊆ span(S1) ∩ span(S2). Give a...

A: Let S1 and S2 be subsets of a vector space V. Prove that span (S1∩ S2) ⊆ span(S1) ∩ span(S2). Give a...

Q: Factor the polynomial:  ay2-4a-4y2+16

A: Given,

Q: The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certa...

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A: The graphical representation of the given problem is given below.Explanations:Suppose that the origi...

Q: In Mm× n(F ), let Eij denote the matrix whose only nonzero entry is 1 in the ith row and  jth column...

A: Observe the following linear combination

Q: For Exercise, use the definition of a one-to-one function to determine if the function is one-to-one...

A:

Q: Given y2 = 4px with p<0, the parabola opens (upward/downward/left/right).

A: Given, function

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Q: For Exercise, determine the standard form of an equation of the parabola subject to the given condit...

A:

Q: For Exercise, write an inequality to represent the statement. y is at least −2

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Q: The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804%. ...

A: Given:Population function P(t) (in millions) –

Q: Use the distance formula to find the distance between the points (−1, −2) and (−2, −9).

A: Note that, the distance formula is

Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given conditions....

A:

Q: Define Absolute value.

A: Absolute value describes the distance of a number on the number line from 0 without considering whic...