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vfiekz [6]
3 years ago
14

Write a function in terms of t that represents the situation.

Mathematics
1 answer:
ira [324]3 years ago
3 0
210000 multiplied by 1.125 to the power of years since it was 210000

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Answer:

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Step-by-step explanation:

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4 years ago
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Please solve for the inverse variation equation
mojhsa [17]

Answer:

f(x) = \frac{1}{x-2} + 1

Step-by-step explanation:

First we identify the Vertical Asymptote. Which is at x = 2

The function has a VA only at the point where the denominator gives 0, so because we know x = 2 is the VA, the denominator will be x - 2.

Then we identify the Horizontal Asymptote, which is the behavior of the function for very large 'x', or the horizontal line of the graph on the y - axis. Which is at y = 1. So our function will go to 1, as x grows incredibly large.

But since our denominator is x - 2, the top remains 1, but we should add a 1 to the function so it really has a HA at y = 1.

f(x) = \frac{1}{x-2} + 1

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3 years ago
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4 0
3 years ago
Find the circumference. use 3.14 for π r=2 cm c=? c=π d<br> help please
Helga [31]

Answer:

C = 12.56m

Step-by-step explanation:

circumference is the distance around the outside of a circle. The r stands for radius, half way across, from the center(thats the little line on the diagram) "d" stands for diameter. That would be double the radius, bc its all the way across the circle through the center. The formula to find the CIRCUMFERENCE is given, C=pi × d

They told you to use 3.14 for pi. And also the radius is 2, so the diameter is 4

C = pi × d

C = 3.14 × 4

C = 12.56 meters

5 0
3 years ago
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
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