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Ksju [112]
3 years ago
7

The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird

in feet per second?
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

Average\ Change = -1\frac{7}{10} ft/s

Step-by-step explanation:

Given

Altitude\ Change = -4\frac{1}{4} \ ft

Time = 2\frac{1}{2}\ s

Required

Determine the average change

This is calculated as follows:

Average\ Change = \frac{Altitude\ Change}{Time}

This gives:

Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}

Average\ Change = -4\frac{1}{4}/2\frac{1}{2}

Convert to improper fractions

Average\ Change = -\frac{17}{4}/\frac{5}{2}

Convert to multiplication

Average\ Change = -\frac{17}{4}*\frac{2}{5}

Average\ Change = -\frac{17}{2}*\frac{1}{5}

Average\ Change = -\frac{17}{10}

Average\ Change = -1\frac{7}{10} ft/s

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Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 sec
max2010maxim [7]

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

t_{A}: Antonio = 28 min + 11.00 s (1)

t_{J}: Julio = A - 0.08 s  (2)

t_{P}: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

t_{P} = t_{J} - 0.1   (4)

By entering equations (1), (2), (3) into (4) we have:

t_{P} = (t_{A} - 0.08) - 0.1            

t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

5 0
3 years ago
Find the slope of the line (-3,-3) (1,1)
Volgvan

Answer: The slope is m = 1

Step-by-step explanation:

-To find the slope, you need the slope formula:

m=\frac{y2-y1}{x2-x1}  where you have (x1,y1) and (x2,y2) on the equation.

-Next, you put the two points to the equation:

m=\frac{1+3}{1+3}

-And then you solve the equation:

m=\frac{1+3}{1+3}

m=\frac{1+3}{1+3}  = \frac{4}{4}=1

m=1

5 0
3 years ago
Read 2 more answers
Find the inverse f(x)=x+5/3x-1<br><br> f^-1(x)=
Kipish [7]

Answer:

  • f^-1(x) = (3/8)(x +1) . . . . as written
  • f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses

Step-by-step explanation:

The inverse function can be found by solving for y:

  x = f(y)

  x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations

  x+1 = 8/3y . . . . . . . . . . add 1

  (3/8)(x +1) = y . . . . . . . . multiply by 3/8

  f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written

_____

Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.

  x = (y +5)/(3y -1)

  x(3y -1) = y +5

  3xy -x = y +5 . . . . . eliminate parentheses

  3xy -y = x + 5 . . . . . add x-y

  y(3x -1) = x +5 . . . . . factor out y

  y = (x +5)/(3x -1) . . . divide by the coefficient of y

  f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function

7 0
3 years ago
Does anyone get this? Like filling in the blanks
Arada [10]

Answer:

Number of Favorable Outcomes over Total Number

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Two addends
nataly862011 [7]

Answer:

28

Step-by-step explanation:

18+6+4=28

8 0
3 years ago
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