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2 years ago

11

Texas Airlines flew 32,400 passenger last week. The airline uses only airplanes that have a capacity of 216 passenger. Which ine

quality can be used to find a,the number of flights the airline could have completed to fly the 32,400 passengers?

1 answer:

gavmur [86]2 years ago

8 0

216 + x = 32,400 that seems about right

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What is the difference between a function and a linear function.

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In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value)

Step-by-step explanation:

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2 years ago

If tan θ=−4/7, and 270°<θ<360°, what is sec θ?

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Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

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3 years ago

A car averages 30 miles of driving for 1 gallon of gas if the car holds 12 gallons how many times will we have to fill up his ga

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3 years ago

Read 2 more answers

Symbol for 1 thousandth of a meter?

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The micrometre (International spelling as used by the International Bureau of Weights and Measures;[1] SI symbol: μm) or micrometer (American spelling), alsocommonly known as a micron, is an SI derived unit of length equaling 1×10−6 of ametre (SI standard prefix "micro-" = 10−6); that is, one millionth of a metre (or one thousandth of a millimetre, 0.001 mm, or about 0.000039 inch).[1] The symbol μm is sometimes rendered as um if the symbol μ cannot be used, or if the writer is not aware of the distinction.<span>[citation needed]</span>

The micrometre is a common unit of measurement for wavelengths of infrared radiation as well as sizes of biological cells and bacteria and is also commonly used in plastics manufacturing.[1] Micrometres are the standard for grading wool by the diameter of the fibres; wool finer than 25 μm can be used for garments, while coarser grades are used for outerwear, rugs, and carpets.[2] The width of a single human hair ranges from approximately 10 to 200 μm. The first and longest human chromosome is 10μm in length.

Contents <span> [hide] </span><span><span>1Examples</span><span>2SI standardization</span><span>3Symbol</span><span>4See also</span><span>5<span>Notes and references</span></span></span>

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2 years ago

QUICK EASY 25 POINTS!!

MAVERICK [17]

Answer:

1. leave the radical symbol and don't try to convert it to a decimal form

2. The approximated value differs from the exact solution and doesn't give a true equation.

3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.

Step-by-step explanation:

The step by step solution to the equation:

$4x^3=756\\x^3=\frac{756}{4} =189\\x=\sqrt[3]{189} \\x=\sqrt[3]{3^3*7} \\x=3*\sqrt[3]{7}$

1.- Exact solution means that if in the final step when solving for x the value of $x^3$ is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).

in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: $3^3*7$ , so there is a perfect cube factor ( $3^3$ ), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.

2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here: $\sqrt[3]{7} = 1.91293118...$

Therefore, the decimal approximation to the solving for x would be:

$x=3*\sqrt[3]{7}=3*1,91293118...=5.73879...=5.74$

Where we rounded to two decimals as requested.

When we replace the exact answer in the original expression, we get a perfect equality:

$4*x^3=756\\4* (3\sqrt[3]{7} )^3=756\\4*3^3*(\sqrt[3]{7} )^3=756\\4*27*7=756\\\\756=756$

While if we use the approximate answer, we get:

$4*x^3=756\\\\4*(5.74)^3=756\\\\4*189.119224=756\\756.476896=756$

which is NOT a true equality.

3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.

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3 years ago