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ioda
2 years ago
8

7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red light

s. (a) (1 pt.) Find the distance of her commute.​
Mathematics
1 answer:
Andrej [43]2 years ago
5 0

Answer:

Total distance = 5 miles

Step-by-step explanation:

Given:

Total time for drive = 10 min = 10 / 60 = 1/6 hour

Time for stop = 5 min

Speed = 30 miles pr hour

Find:

Total distance

Computation:

Total distance = Speed × time

Total distance = 30 × (1/6)

Total distance = 5 miles

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A professor uses a video camera to record the motion of an object falling from a height of 250 meters. The function f(x) = –5x2
Romashka [77]

Answer:

The answer is approximately 5.09 seconds.

Step-by-step explanation:

The given equation is:

f(x) = -5x^2 + 250

To find the elapsed time, x, set the equation equal to 120 and solve for x:

-5x^2 + 250 = 120

-5x^2 = -130

x^2 = -130/-5 = 26

x = Sqrt(26) = 5.09 seconds.

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2 years ago
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The archway of the main entrance of a university is modeled by the quadratic equation y = -x^2 + 6x. The university is hanging a
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So the problem ask on which of the following choices you had is the points should the banner be attached in the archway and the best answer among the choices will be letter C. (1.5, 4.87) and (3.5, 4.37). I hope this will help you and feel free to ask for more.
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3 years ago
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The function f(x) = 1/2 x + 3/2 is used to complete this table.
Mrac [35]

Answer:

a) f(-1/2)  = -2 is NOT TRUE.

b)  f(0)  =3/2 is  TRUE.

c)   f(1)  = -1 is NOT TRUE.

d)   f(2)  = 1 is NOT TRUE.

e)   f(4)  = 7/2  is  TRUE.

Step-by-step explanation:

Here, the given function is  f(x) = (\frac{1}{2}) x+\frac{3}{2}

Now, checking for each values for the given function:

a) Putting x  = (-1/2):

 f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2}   = \frac{-1}{4}  + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4}  = (\frac{5}{4} )

and (5/4) ≠  -2

Hence, f(-1/2)  = -2 is NOT TRUE.

b)Putting x  = 0 :

f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )

Hence, f(0)  =3/2 is  TRUE.

c) Putting x  = 1:

f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2}   = \frac{1}{2}  + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2}  = (\frac{4}{2} )   = 2\implies 2   \neq -1

Hence, f(1)  = -1 is NOT TRUE.

d)Putting x  = 2:  

f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2}   = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2}  = (\frac{5}{2} )

and (5/2) ≠  1

Hence, f(2)  = 1 is NOT TRUE.

e)Putting x  = 4:

 f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2}   = 2  + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2}  = (\frac{7}{2} )

Hence, f(4)  = 7/2  is  TRUE.

4 0
2 years ago
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so your answer is 0.9 
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