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sladkih [1.3K]
2 years ago
12

The rate (gallons per day) at which a pond loses water due to evaporation from one day after observation has started is give by

w(t)=1/T2 (squared).
where t is the number of days after the first day. suppose we want to find out what the trend is for the total change in gallons in the pond. (Fill in the following table)
t is the number of days after the first day, and w is the number of gallons.

T: 1 2 10 50 100 200 500 1000
w(t): ? ? ? ? ? ? ? ?

​
Mathematics
1 answer:
Andreyy892 years ago
4 0

Answer:  see table below

<u>Step-by-step explanation:</u>

\left\begin{array}{c|l}T&\qquad w(t)\\1&\dfrac{1}{1^2}=1\implies 1.00\\\\2&\dfrac{1}{2^2}=\dfrac{1}{4}\implies 0.25\\\\10&\dfrac{1}{10^2}=\dfrac{1}{100}\implies 0.01\\\\50&\dfrac{1}{50^2}=\dfrac{1}{2500}\implies 0.0004\\\\100&\dfrac{1}{100^2}=\dfrac{1}{10000}\implies 0.0001\\\\200&\dfrac{1}{200^2}=\dfrac{1}{40000}\implies 0.000025\\\\500&\dfrac{1}{500^2}=\dfrac{1}{250000}\implies 0.000004\\\\1000&\dfrac{1}{1000^2}=\dfrac{1}{100000}\implies 0.000001\\\end{array}\right

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How many posible solutions for x-3y=-3 and -2x+6y=12
Alexus [3.1K]

Answer:

there are no solutions

Step-by-step explanation:

x-3y=-3

-2x+6y=12

multiply the first equation by 2

2( x-3y)=-3*2

2x-6y = -6

add the 2 equations together


2x-6y = -6

-2x+6y=12

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

0 = -6

this is not true

so there are no solutions

7 0
3 years ago
Mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away. The
svetlana [45]

Answer:

t = -d/50 + 2

0.5 hour

Step-by-step explanation:

Given the equation:

d = 50 - 100t

The inverse function:

A.) solving for t

d = 100 - 50t

d - 100 = - 50t

Divide both sides by - 50

d/-50 - (100/-50) = - 50t/-50

-d/50 - (-2) = t

t = -d/50 + 2

B) using the inverse function:

t = -d/50 + 2

Miles driven (d) = 75, find time (t)

t = - 75/50 + 2

t = - 1.5 + 2

t = 0.5

t is in hours, therefore time left to travel is 0.5 hours or 30 minutes

4 0
2 years ago
Need to be able to check this assignment for my son and I have no clue how to make sure it's correct anyone?
saw5 [17]

Answer:

it is correct

Step-by-step explanation:

4 0
3 years ago
I NEED HELP!!!!!!!!!!!!!!!!!!
ratelena [41]

Answer:

thats easy

Step-by-step explanation:

but thanks 4 the points

4 0
2 years ago
PLEASE HELP, WILL MARK AS BRAINLIEST!!!!!!!!!!!
Lisa [10]

A Trapezoid needs to have one pair of sides parallel.

Two of the points already plotted have the same Y value ( 3)

So the 4th dot, should have the same Y value as the first dot, which is 1.

The 4th dot should be plotted at C (5,1)

7 0
2 years ago
Read 2 more answers
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