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kirza4 [7]
3 years ago
10

Find the average rate of change of f(x)=-x2+2x+2 from x=2 to x=6

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0
Use photomath it’s an app on the app store
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Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.
BigorU [14]

Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

A_T=2A_1+2A_2=2×96 in²+2×216 in²=624 in²

8 0
3 years ago
Jennifer is making bouquets of flowers. She has 25 roses, 45 tulips, and 15 snapdragons. She divides the flowers equally to make
chubhunter [2.5K]

Answer:

a. 3

Step-by-step explanation:

The number of flowers should be divisible by the number of bouquets.

Since

25 = 5 \times 5 \\ 45 = 5 \times 9 \\ 15 = 5 \times 3

there should be 5 bouquets, and each bouquet has 5 roses, 9 tulips and 3 snapdragons.

so the answer is

a. 3

8 0
3 years ago
Read 2 more answers
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
Descubra a regra e continue a sequência​
spayn [35]
Yes get into it girl you right oh ya so right
7 0
3 years ago
Which is NOT a major expense category?<br> housing<br> transportation<br> electricity<br> food
ruslelena [56]
That would be food! Hope this hlep!
5 0
3 years ago
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