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emmainna [20.7K]
3 years ago
5

A train travels 1469 miles to deliver materials to a construction site. It averages 52 miles per hour. How many hours does it ta

ke the train to travel the distance? Enter your answer, as a simplified mixed number, in the box.
Mathematics
2 answers:
densk [106]3 years ago
8 0
28 and 1/4 is the correct answer.
Olin [163]3 years ago
4 0

Answer:

28 1/4

Step-by-step explanation:

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The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min
Deffense [45]

Answer:

a

    f'(t) is  negative

b

 The  unit is degC/min

c

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         H= f(t)

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        |f(35)'| =  1.5

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         |f(35)| =  68

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  \frac{30}{60}= 0.5 \ minutes the  rate  of change of the temperature of the cup of  coffee is  

          R =  |f(35)'| *  t

=>        R = 1.5  *  0.5

=>        R = 0.75    

So

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.  

     

5 0
3 years ago
What's the answer to -6&lt;21
Sphinxa [80]

Answer:

Step-by-step explanation:

There's no answer here. Because -6<21.

5 0
3 years ago
Solve Two Step Eqautions
VashaNatasha [74]
1. n=7
2. w= 7.75 
3. f= -15
4. y = 66
5. g=42
6. p= 2
4 0
2 years ago
Convert x = 4 to polar form
dezoksy [38]

Answer: r = 4 sec θ

Explanation: Using: x = r cos θ then r cos θ = 4 ⇒ r = 4 cos θ = 4 sec θ

4 0
3 years ago
David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book co
Ber [7]

Answer:

A book is worth $1 and a DVD is worth $12.

Step-by-step explanation:

The equations (2 unknowns and two equations, d is for a DVD and b is for a book):

For David: 3d+4b=40

For Anna: d+6b=18

Now multiply the second equation with -3 and add to the first equation:

3d+4b=40

−3d−18b=−54

Combined equation: −14b=−14 and b=1 (means that each book is worth $1).

 

Now for DVD price, use the second equation:

d=18−6 or d=12 (means that each DVD  is worth $12).

A book is worth $1 and a DVD is worth $12.

8 0
3 years ago
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