Physics, 26.08.2019 01:00 allieballey0727

You want to set up an aquarium and need to determine what size tank to buy. the graph shows tank sizes using a rule that relates the capacity of the tank to the combined lengths of the fish it can hold.
if you want four 2-inch platys, three 1-inch guppies, and a 3-inch loach, what is the smallest capacity tank you can buy?
17-gallon tank
13-gallon tank
15-gallon tank
14-gallon tank

Answers: 2

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Answers

Answer from: dward5823

connexus unit 8 lesson 1 PRACTICE!

1) B

2) C

3) A

4) C

5) B

6) A

7) D

8) A

9) D

10) A

11) A

12) C

13) D

14) C

15) B

16) B

Hope this helps you guys out!

Answer from: qwertylol12345

The minimum volume of the tank required for combined lengths of the fish is $\boxed{15\,{\text{gallons}}}$ .

Further Explanation:

The graph between the capacity of the tank and the combined length of the fishes present in the tank starts from the point $\left( {0,1} \right)$ and further it passes through the point $\left( {3,4} \right)$ .

The expression for the slope of the graph is as given below.

$m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$

Substitute the co-ordinates of the points in equation of slope.

$\begin{aligned}m&= \frac{{4 - 1}}{{3 - 0}}\\&= \frac{3}{3}\\&= 1\\\end{aligned}$

The y-intercept of the graph is .

Write the expression for the equation of line of the graph.

y = mx + c

Substitute for and for in above expression.

$\begin{aligned}y&= \left( {1 \cdot x} \right) + 1 \hfill\\y&= x + 1 \hfill\\\end{aligned}$

The total length of all the fishes present inside the tank is.

$\begin{aligned}{L_{total}} &= \left( {4 \times 2} \right) + \left( {3 \times 1} \right) + \left( {1 \times 3} \right) \\&= 8 + 3 + 3\\&= 14\,{\text{inches}}\\\end{aligned}$

Since the length of the fishes is given on the x-axis, substitute $14\,{\text{inches}}$ for in equation of line of the graph.

$\begin{aligned}y&= 14 + 1\\&= 15\,{\text{gallons}}\\\end{aligned}$

Thus, the minimum volume of the tank required for combined lengths of the fish is $\boxed{15\,{\text{gallons}}}$ .

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Answer Details:

Grade: High School

Chapter: Units and Measurements

Subject: Physics

Keywords: Aquarium, size of tank, capacity of the tank, combined lengths, the fish, platys, guppies, loach, inch, smallest capacity, gallon.

Answer from: Quest

Answer: buoyancy forceexplanation: in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.

Answer from: Quest

answer would be letter choice (a), a ball resting on a shelf. would be another example of potential energy > stored energy > not moving.

a ball spinning on a finger > kinetic energy > moving energy

a ball rolling on the ground > kinetic energy > moving energy

a ball flying through the air > kinetic energy > moving energy

hope that : )

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You want to set up an aquarium and need to determine what size tank to buy. the graph shows tank siz...