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mr_godi [17]
3 years ago
14

Two variable quantities A and B are found to be related by the equation A^3 + B^3 = 9. What is the rate of change dA/dt at the m

oment when A=2 and dB/dt = 3?
Mathematics
1 answer:
Amanda [17]3 years ago
7 0
3A^2 dA/dt + 3B^2 dB/dt = 0

If A=2, then 8+B^3=9, B=1

12 dA/dt + 9 = 0

dA/dt = -3/4
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2.If the average American lives about 80 years (or about 30,000 days), how
cluponka [151]

Answer:

900000000

Step-by-step explanation:

4 0
3 years ago
Can someone please help me?
storchak [24]
5lbs=8.25
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1lbs=1.65


6 0
3 years ago
Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever
omeli [17]

The <em>correct answers</em> are:


It would take 5 months and she would save $250.


Explanation:


Let m be the number of months.


For the first way of saving, $200 up front and $10 each month, the expression would be

200+10m.


For the second way of saving, $100 up front and $30 each month, the expression would be

100+30m.


Setting them equal gives us the equation

200+10m = 100+30m


Subtract 10m from each side:

200+10m-10m = 100+30m-10m

200 = 100+20m


Subtract 100 from each side:

200-100 = 100+20m-100

100 = 20m


Divide both sides by 20:

100/20 = 20m/20

5 = m


It would take 5 months.


$200 up front and $10 each month for 5 months:

200+10m

200+10(5)

200+50

250


She would save $250.

6 0
3 years ago
Read 2 more answers
The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
4 years ago
Need help please thanks :)
luda_lava [24]

Answer:

800 ft, you should write ur own sentence tho

Step-by-step explanation:

520 - (-280) = 800

6 0
3 years ago
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