A bicycle is traveling at 22 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

 The answer is:  " 322.7  ft. "

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Step-by-step explanation:

First:

Convert:  " 22 mi /h" ; to:  " ft / s " ;

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Note the following exact conversions:

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1 mi = 5280 ft. ;

1 h = 60 min.

1 min = 60 s ;

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=  ? ft/sec. ?

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From the "left-hand side" of the equation:

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1) The units of "mi" ["mile(s}"] cancel out; since:  "mi/mi" = 1 .

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2) The units of "h" ["hour(s)"] cancel out; since:  "h/h" = 1 .

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3) The units of "min" ["minute(s)"] cancel out; since:  "min/min" = 1.

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And we are with units of "ft/s" ["feet per second"] :

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→  " ";  Using calculator:

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           = " " ;  Using calculator:

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           = " " ;

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Now, we are asked:

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"How many feet will it cover in 30 seconds?"

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  To solve:

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  " " ;

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Note: The units of "s" ["second(s)"] on the "left-hand side" of the equation; cancel out to "1" ; since:  "s/s" = 1 ;  

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And we have:

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 " ( ) ft ;

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       →   ft ;

 {Note:  To multiply by "10"; move the decimal one space to the right; or use calculator to get the value;

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Second:

→  We are asked to round our answer to the "nearest tenth of a foot" ;

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 We have:  " 322.666666.... ft." :

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Note:  "322.666..."

 The "tenths" place has a digit of "6".

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The question is:  To round to the nearest tenth:

Do we round to "322.6" ? or round up to: "322.7" ?

To determine this, we examine the next following decimal; that is,

the "hundredths" place.  

 If the digit within the hundredths place is:  "0, 1, 2, 3, or 4" ; then, we "round down" to "322.6 ".

 If the digit within the hundredths place is:  "5, 6, 7, 8, or 9" ; then, we "round up" to "322.7 ".

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In our case, the digit within the hundredths place is "6" ;

 As such, we round to: "322.7" .

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The answer is:  " 322.7  ft. "

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Hope this answer—and explanation—is helpful to you!

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60

step-by-step explanation:

every triangle measures a total of 120 degrees. you have to find angle c. we know that isosceles triangles angles are equal. 60 degrees plus 60 degrees gives you 120.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: