Which of the following is a correct conversation factor?
2 answers:
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Answer:
20 1/2 feet
Step-by-step explanation:
18 inches is 1 1/2 feet. We can add up the lengths. Remember that multiplication is used to simplify repeated addition.
rope needed = 2×(5 ft) +7×(1 1/2) ft
= 10 ft + 10 1/2 ft
= 20 1/2 ft
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<em>Comment on the solution</em>
There are many ways you can go at the solution of this. The one you choose may depend on the kind of aritmetic you're comfortable with.
Since one of the dimensions is given in inches, and the result is required in feet, at some point you need to convert from inches to feet. It is useful to know that 12 inches equal 1 foot. That tells you that you can divide the number of inches by 12 to get the number of feet. (18 inches = 18/12 feet = 3/2 feet = 1 1/2 feet)
You can add the step lengths in inches (18 inches × 7 = 126 inches = 10 1/2 feet) or in feet (1 1/2 feet × 7 = 10 1/2 feet).
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Since one of the dimensions involves a fraction of a foot, at some point you have to deal with arithmetic involving fractions. Here, we have assumed you know how to do that (this is college math, after all).
Modern calculators are quite versatile in the sorts of expressions they can evaluate. For mine, it would be convenient to write it as ...
2×5+7×(18/12) . . . . would give 20 1/2
The Google search box is also a very good calculator for a variety of problems. Its use is shown below.
2.4012 is the value of x after solving equation = 30 using natural logarithms
We have been asked to solve = 30 using natural logarithms
⇒ = 30
⇒ x + 1 = ㏑ 30
⇒ x = ㏑ 30 - 1
≈ 2.4012
<h3>What is a natural logarithm?</h3>A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.
The power to which e would need to be raised in order to equal x is the natural logarithm of x.
For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.
Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.
Learn more about natural logarithm
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<h3>Correct Question</h3>Use natural logarithms to solve each equation.
= 30