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Mrrafil [7]
3 years ago
10

Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes

? Mark this and

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0
1. Subtract 4 from both sides
v - 4 = 2t
2. Divide both sides by 2
v - 4/2 = t
3. Switch sides
t = v - 4/2
padilas [110]3 years ago
7 0

we have

V=4+2t

where

V--------> s the total volume of water in a bucket

t-------> is the elapsed time in minutes

we know that

The domain of the function is the interval----------> [0,∞)

Because the time (t) can not be negative

The range of the function is the interval---------->  [4,∞)

Because the Volume (V) can not be negative

using a graph tool

see the attached figure

therefore

the answer in the attached figure

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Pls help 0.5a = 2a + 3
spayn [35]

Answer:

-2

Step-by-step explanation:

0.5a=2a+3

a=-2

PLEASE MARK BRAINLIEST

5 0
3 years ago
an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a
viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is;  \mathbf{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft  is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the  rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at  a time t and r = radius of the cone shaped at a time t

Then the similar triangles  ΔOCD and ΔOAB is as follows:

\dfrac{h}{r}= \dfrac{20}{8}    ( similar triangle property)

\dfrac{h}{r}= \dfrac{5}{2}

\dfrac{h}{r}= 2.5

h = 2.5r

r = \dfrac{h}{2.5}

The volume of the water in the tank is represented by the equation:

V = \dfrac{1}{3} \pi r^2 h

V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h

V = \dfrac{1}{18.75} \pi \ h^3

The rate of change of the water depth  is :

\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

Since the water is drained  through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

\dfrac{dv}{dt}= - 4  \ ft^3/sec

Therefore,

-4 = \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

the rate of change of the water at depth h = 10 ft is:

-4 = \dfrac{ 100 \ \pi }{6.25}\  \dfrac{dh}{dt}

100 \pi \dfrac{dh}{dt}  = -4 \times 6.25

100  \pi \dfrac{dh}{dt}  = -25

\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi}

Thus, the rate of change of the water depth when the water depth is 10 ft is;  \mathtt{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

4 0
4 years ago
The side of a square is 3 and 5/2 inches
Murrr4er [49]
Perimeter=22 inches
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7 0
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I dont need it anymore
vova2212 [387]

Answer:

I'm sorry but what is the question?

Step-by-step explanation:

8 0
3 years ago
Write the following inequality in slope intercept form<br> -6x+3y&gt;-45
QveST [7]

Slope intercept form is y = mx + c.

<em>(where m is the slope, and c is the intercept - hence slope intercept form)</em>

So all you have to do is rearrange the inequality to have y by itself.

-6x + 3y > - 45                <em>(add 6x to both sides)</em>

        3y > - 45 + 6x        <em>(divide both sides by 3)</em>

          y > - 15 + 2x         <em>(put the 2x infront of the - 15) </em>

          y > 2x - 15

- - - - - - - - - - - - - - - - - - - - - - -

Answer:

y > 2x - 15

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6 0
3 years ago
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