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xxMikexx [17]
3 years ago
14

The graph below shows the water level of a tank that is emptying over time.

Mathematics
1 answer:
Allisa [31]3 years ago
3 0
From inspecting the graph, you can identify the y-intercept and the slope of the line shown.

The y-intercept is 200 gallons.
The slope is 

             75-200
    m = ------------- = -12.5 gallons/minute
               10 -  0

Thus, y = 200 gallons - [12.5 gallons/minute ]t

To answer the 2nd question, let t = 12 minutes and calculate y(12).

To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
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Solve by canceling <br><br> -5x+8y=-4<br> 6x-8y=-12
Vinil7 [7]

Step-by-step explanation:

-5x+8y=-4

6x-8y=-12   8y and 8x cancel out

         x=-16

To solve for y, substitute x=-16 back into the first equation

-5(-16)+8y=-4

    80+8y=-4

          8y=-84

            y=-10.5

7 0
2 years ago
Seven students cut 5 and three-fourths inches of thread from a spool for a school project. What number represents the change in
dalvyx [7]

Answer:

-40 1/4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please help I don’t understand this.
tresset_1 [31]

The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)

In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).

Use the definition of the function to evaluate it at the points in the numerator:

• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4

• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11

Then the average rate of change is

(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6

3 0
2 years ago
Photo attached. Thanks in advance!
jonny [76]
A zero in front of the x would make this a difference of two perfect squares. All of the other option would interfere by adding another term.
7 0
3 years ago
Read 2 more answers
The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)
Ann [662]

Answer:

h=30

Step-by-step explanation:

Volume of a cone=1540cm^{3}, Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is \frac{1}{3} \pi r^{2} h to find the height of a cone.

1540cm^{3} =\frac{1}{3}\pi r^{2}  h

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

1540cm^{3}=\frac{1}{3}*\frac{22}{7}  7^{2}h

1540cm^{3} =\frac{154}{3}h

Move \frac{154}{3} to another side. 1540 divided by  \frac{154}{3} to calculate what is the value of h, h is the height of a cone. Like this.

\frac{1540cm^{3} }{\frac{154}{3} } =h

30=h

Rearrange the h.

h=30

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0
3 years ago
Read 2 more answers
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