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Y_Kistochka [10]
3 years ago
11

Please help! I am stuck!

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

the answer is C I think, I cant tell which is which but its the top right

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio
Klio2033 [76]

Answer:

  • k = 0.032
  • P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

  P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693

So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

  • k = 0.032
  • P0 = 131.836
4 0
3 years ago
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of
ella [17]

Answer:

c because the distance is important

7 0
3 years ago
I think this is the last question ​
mafiozo [28]

Answer:

○ \displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)

Step-by-step explanation:

The minimum the <em>lowest</em><em> </em>possible point a certain graph touches, while the maximum is the <em>highest</em><em> </em>possible point a certain touches.

I am joyous to assist you at any time.

7 0
3 years ago
Rewrite the fraction in simplest form. 62/70
Ostrovityanka [42]
The answer is 31/35
Hope it helps!
8 0
3 years ago
20 points !
Aloiza [94]
No the area is 181.5 inches squared you only have 150 square inch
8 0
4 years ago
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