Helppp mehhh pleaseeeee

Can someone please help me?

Nezavi [6.7K]

Answer:

2

Step-by-step explanation:

4 0

3 years ago

The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into

ElenaW [278]

This question is incomplete because it is not properly and correctly written.

Find attached to this answer a hand drawn sketch diagram of the Aquarium (rectangular prism) showing its dimensions.

Complete Question

The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in³ = 0.00433 gal)

The dimensions of the rectangular prism is given as:

Height = 13 in

Width = 13 in

Length= 20in

The amount of water left is about ____ gallons.

Answer:

The amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water

Step-by-step explanation:

Step 1

We are given a rectangular prism with the dimensions :

Height = 13 in

Width = 13 in

Length= 20 in

The first step would be to find the Volume of the Rectangular prism

Volume of the rectangular prism = Length × Width × Height

= 20in × 13in × 13in

= 3380 in³

From the question, we are given the hint that

1 in³ = 0.00433 gal

This means that 1 in³ of an object contains 0.00433 gallons of water.

Therefore, if

1 in³ = 0.00433 gal

3380 in³ =

Cross multiply

2880 in³ × 0.00433 gal

= 14.6354 gal

This means the Aquarium (rectangular prism) contains 14.6354 gallons of water.

Step 2

A spherical ball with the diameter of 8 inches was dropped into the aquarium.

We would find the volume of the spherical ball.

Volume of the Spherical ball = 4/3πr³

Radius = Diameter ÷ 2

= 8 inches ÷ 2 = 4 inches.

Volume of the Spherical ball = 4/3 × π × 4³

Volume of the Spherical ball = 268.08in³

Step 3

We would be converting the Volume of spherical ball to gallons because this gives us the quantity of water spilled due to the sinking of the spherical ball

If , 1 in³ = 0.00433 gal

268.08in³ =

Cross multiply

268.08 in³ × 0.00433 gal

= 1.1607864 gal.

Step 4

The fourth and final step is to subtract the volume of water in the aquarium from the volume of water spilled

14.6354 gal - 1.1607864 gal

= 13.4746136 gal

Approximately to the nearest tenth = 13.5 gal

Therefore, the amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water.

3 0

3 years ago

Whats the gratest common factor of 125 and 150

babunello [35]

Answer:

The GCF of 125 and 150 is 25.

8 0

3 years ago

Read 2 more answers

Find the distance between two lakes as shown on map if the scale on the map is 1 cm : 8 km, and the actual distance between the

Thepotemich [5.8K]

Answer:

37

Step-by-step explanation:

Find the scale 296/8=37

The do 37 x 1=37

4 0

3 years ago

I have no clue what do you, can someone please explain

fiasKO [112]

Answer:

a = 3 b = -18 c = 11 d = 0

Step-by-step explanation:

The table tells you what value the function will product (y) if you input the corresponding value of x.

So, for example, if you input the value of x = 1 into the function, you will get y = -4.

If we substitute x = 0 and y = 0 into the function we can find the value of d immediately:

0 = a(0)³ + b(0)² +c(0) + d

0 = 0 + 0 + 0 + d

0 = d

As d = 0, we can now eliminate d and write the function as:

y = ax³ + bx² + cx

Now substitute the remaining pairs of values into y = ax³ + bx² + cx to create 3 equations:

1) When x = 1, y = -4

⇒ a(1)³ + b(1)² + c(1) = -4

⇒ a + b + c = -4

2) When x = 2, y = -26

⇒ a(2)³ + b(2)² + c(2) = -26

⇒ 8a + 4b + 2c = -26

⇒ 4a + 2b + c = -13

3) When x = 3, y = -48

⇒ a(3)³ + b(3)² + c(3) = -48

⇒ 27a + 9b + 3c = -48

⇒ 9a + 3b + c = -16

Now solve the system of 3 equations simultaneously to find the value of a, b and c. To do this, reduce this to 2 equations with 2 unknowns by eliminating one of the unknowns from two pairs of equations:

Eliminate c by subtracting equation 1) from equation 2) to create equation 4):

2) 4a + 2b + c = -13

1) a + b + c = -4

4) 3a + b = -9

Eliminate c by subtracting equation 2) from equation 3) to create equation 5):

3) 9a + 3b + c = -16

2) 4a + 2b + c = -13

5) 5a + b = -3

Now use equations 4) and 5) to find a and b, by subtracting equation 4) from equation 5) to find a:

5) 5a + b = -3

4) 3a + b = -9

6) 2a = 6

⇒ a = 6 ÷ 2 = 3

and substituting the found value of a into equation 4) or 5) to find b:

5) 5(3) + b = -3

15 + b = -3

⇒ b = -18

Now substitute the found values for a and b into one of the original 3 equations to find c:

1) a + b + c = -4

3 - 18 + c = -4

⇒ c = 11

Therefore, the function is y = 3x³ - 18x² + 11x

3 0

3 years ago