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Ivanshal [37]
3 years ago
5

A big ship drops its anchor. E(t) models the anchor's elevation relative to the water's surface (in meters) as a function of tim

e t (in seconds). E(t)=−2.4t+75 How far does the anchor drop every 5 seconds?
Mathematics
2 answers:
Nezavi [6.7K]3 years ago
5 0

Answer:

<h2>The anchor drops 12 meters every 5 seconds, assuming that it moves constantly.</h2>

Step-by-step explanation:

The given function is

E(t)= -2.4t+75

Where E(t) models the anchor's elevations in relation to the water's surface. Notice that the function depends on the time.

Now, to find how far does the anchor drop every 5 seconds, we just need to replace t=5

E(5)= -2.4(5)+75=-12+75=63

However, we just need the rate per second, which doesn't include the initial condition of 75 meters, because that's would  mean we are gonna give the total meters.

2.4(5)=12

Therefore, the anchor drops 12 meters every 5 seconds, assuming that it moves constantly.

forsale [732]3 years ago
3 0
Plug in 5 for t, while ignoring the +75.
2.4(5) = 12
Therefore, the anchor drops 12 m. every 5 seconds
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DENIUS [597]

Answer:

$12.35

Step-by-step explanation:

Amount earned by Campbell per week = $494

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Amount withheld = 2.25% of his earning;

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Amount withheld = 0.025 * 494

Amount withheld  = $12.35

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3 years ago
Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

Where:

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We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

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Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

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x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
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Answer:

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