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Crazy boy [7]
3 years ago
5

Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner

told him to make sure their density in the tank isn’t more than 4 fish per cubic meter. What is the lowest possible height so the fish aren’t too crowded
Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer: 1.25 m

Step-by-step explanation:

Area of base = 1.2 m²

Number of gold fish = 6

Density of the tank should be = 4 fish/m³

Height of the tank= ?

4 fish = 1 m³

6 fish = 6/4 = 1.5 m³

Volume required for 6 fish is 1.5 m³

V = area of base x height (h)

1.5 = 1.2 x h

h = 1.25 m

Hence, height of the tank is equal to 1.25 m.

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3 years ago
I need help with this I don't understand this math
Dmitriy789 [7]

The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

<h3>What is correlation?</h3>

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}

We have data shown in the table:

We can find the exponential regression equation using the data shown.

\rm y = ab^x

After calculating from the data:

a = 172.21 and b = 0.99

\rm y = 172.21(0.99)^x

The correlation coefficient will be:

r = -0.99

The range will be all real numbers.

The domain will be y > 0

As we can see in the graph x ∈R and y>0

After an hour,

Plug x = 60 minutes in the exponential regression equation:

\rm y = 172.21(0.99)^{60}

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

\rm y = 172.21(0.99)^{240}

y = 15.43 degree Fahrenheit

 

Similarly, we can find any data from the exponential regression equation.

Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

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2 years ago
A cooler has 6 Dr Peppers, 5 Diet Cokes, 9 Cokes, and 4 Sprites in it.
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A

Step-by-step explanation:

6/24 multiplied by 5/24

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Step-by-step explanation:

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3 years ago
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What is the volume of sphere of radius 6 m.
Tems11 [23]

Answer:

904.78 m³

Step-by-step explanation:

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