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finlep [7]
3 years ago
15

A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flo

wer g(n), in inches, after n days.
g(n) = 10(1.02)n


What does the average rate of change of the function represent?


A.
the number of days flower grew

B.
the average height of the flower after 5 days

C.
the average growth of the flower from day 1 to day 5

D.
the average time it takes for the flower to grow from 1-5 inches
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

The expression given represents an exponential growth relation. The average rate of change is the <em>average growth of the flower from day 1 to days 5 </em>

The rate of change of the flower can be deduced frommthe equation as :

  • 1.02 - 1 = 0.02

Hence, the growth rate of the flower per day = 0.02

The number of days, n = 5

Therefore, the average growth rate is the average growth of the flower within the number of days given.

Learn more : brainly.com/question/25449918

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I’m confused on this one
Elina [12.6K]
The question is asking for the sector arc length WZ,which can be find through the sector formula:
2\pi \: r \times  \frac{angle}{ {360}^{o} }
Since both cz and wz are the radius, they have the same length
cz=wz=5 in.

In this case,
2丌(5)× 122°/360°
=10丌×61/180
=61/36 ×丌
≈5.32in.

Thus 5.32in. is the answer.

Hope it helps!
8 0
3 years ago
In order to solve the equation −3x + 6 = 5, the first step is to (1 point)
aliya0001 [1]
   −3x + 6 = 5  | -6   (first step is: "subtract 6 from both sides" <span>)
</span>
-3x = 5-6
-3x = -1      |  /(-3)   (second step is: "<span>divide by (-3) on both sides</span>" <span>)


</span>\displaystyle  \\ &#10;x =  \frac{-1}{-3} =  \boxed{\frac{1}{3} }
<span>

</span>
5 0
3 years ago
Read 2 more answers
I know the answer to this question but how many solutions does it have?
BlackZzzverrR [31]

Answer:Hence, x = 5, y = 0 is the required solution.

Step-by-step explanation:

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Nuetrik [128]
What's the question you're asking?
5 0
3 years ago
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
4 years ago
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