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dedylja [7]
3 years ago
9

an adult elephand drinks about 325 liters of water each day. is the number of days the water supply lasts proportional to number

of liters of water the elephant drinks?
Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0
Sorry but you can go to quizlit an get the answer.
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Find the distance from the origin to the graph of 7x+9y+11=0
Cerrena [4.2K]
One way to do it is with calculus. The distance between any point (x,y)=\left(x,-\dfrac{7x+11}9\right) on the line to the origin is given by

d(x)=\sqrt{x^2+\left(-\dfrac{7x+11}9\right)^2}=\dfrac{\sqrt{130x^2+154x+121}}9

Now, both d(x) and d(x)^2 attain their respective extrema at the same critical points, so we can work with the latter and apply the derivative test to that.

d(x)^2=\dfrac{130x^2+154x+121}{81}\implies\dfrac{\mathrm dd(x)^2}{\mathrm dx}=\dfrac{260}{81}x+\dfrac{154}{81}

Solving for (d(x)^2)'=0, you find a critical point of x=-\dfrac{77}{130}.

Next, check the concavity of the squared distance to verify that a minimum occurs at this value. If the second derivative is positive, then the critical point is the site of a minimum.

You have

\dfrac{\mathrm d^2d(x)^2}{\mathrm dx^2}=\dfrac{260}{81}>0

so indeed, a minimum occurs at x=-\dfrac{77}{130}.

The minimum distance is then

d\left(-\dfrac{77}{130}\right)=\dfrac{11}{\sqrt{130}}
4 0
3 years ago
-6t-7=17 what does t equal
Grace [21]

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

7 0
3 years ago
If the volume of a rectangular prism is 1260 cubic feet and the length of the prism is 10 feet. What would be the measurement of
timofeeve [1]

Answer:

qawsexdcrfvtgbyhunjikijuhytg5r4r5gt6hyjuiko

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present a
OLEGan [10]
First establish variables for current age.

Clive's current age = c
Sherman's current age = s

<span>"Three years ago," 
Clive was: (c - 3)
Sherman was: (s - 3)

</span><span>"Sherman was twice as old as Clive."</span><span>
(s - 3) = 2(c - 3)

Then in terms of Sherman's present age, distribute 2, combine like terms
s - 3 = 2c - 6
s = 2c - 6 + 3
s = 2c - 3
</span>
7 0
3 years ago
Many physical processes are exponential in nature. A typical way of cleaning a tank of contaminated water is to run in clean wat
Naya [18.7K]

Answer:

Idknibucu

Step-by-step explanation:

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