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Korolek [52]
3 years ago
15

Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

The two expressions are;

1) -8 ft. + 3 × 6 ft. = 12 feet

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Step-by-step explanation:

The given parameters are;

The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet

The distances Cecil can travel forward = (positive 5, 6, 8)

Backwards Cecil can travel distances of (-5, -6, -8)

Cecil can go forward past the ladder and return back

Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;

1) -8 ft. + 3 × 6 ft. = 12 feet

Which is to go back 8 feet and then to go forward 6 feet three times

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.

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Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.
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We are given a function f ( x ) defined as follows:

y=f(x)=x^{\frac{1}{9}}

We are to determine the value of f ( x ) when,

\times\text{ = }\frac{1}{2}

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}

We will apply the power on both numerator and denominator as follows:

f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}

Next apply the division operation as follows:

f\text{ ( }\frac{1}{2})\text{ = }0.92587

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be:

\textcolor{#FF7968}{f}\text{\textcolor{#FF7968}{ ( }}\textcolor{#FF7968}{\frac{1}{2})}\text{\textcolor{#FF7968}{ = 0.926}}

6 0
10 months ago
PLEASEE HELPP ANYONE
amid [387]
Easy
just find the slope between those 2 points
f(-6)=6
f(-3)=0

slope=rise/run=-6/3=-2
slope is -2
A is answer
3 0
3 years ago
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Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle

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Hello,

y=k*(x-2)(x-4)
and is passing throught (3,1)
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Pls. see attachment for the answer.

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