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3 years ago

11

10 POINTS AND WILL GIVE BRAINLIEST

1 answer:

Vladimir [108]3 years ago

8 0

${3}^{ - 2x} = { (\frac{1}{ {3}^{2} } )}^{x} = ( { \frac{1}{9} )}^{x} an \\ exponential \: function \: of \: the \: form \\ f(x) = a \times {b}^{x} \: with \: a \: = 1 \: and \\ b = \frac{1}{9}$

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Compare and contrast an extinct species and an endangered species

ollegr [7]

Extinct species are species that do not exist anymore today whilst endangered species are species which there are few left of and the main causes are habitat destruction or are being hunted

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3 years ago

A hypothetical square grows so that the length of it's diagonals are increasing at a rate of 8 m/min. How fast is the area of th

guapka [62]

Answer:

32 $m^{2}/min$

Step-by-step explanation:

We let the length of the square be l, the diagonal be z and the area be A.

Then by Pythagoras theorem;

$l^{2}+l^{2}=z^{2}\\2l^{2}=z^{2}$

The are of a square of length l is given as;

$A=l^{2}$

Combining these two equations yields;

$z^{2}=2A$

$A=\frac{z^{2} }{2}$

Next, we have been given;

$\frac{dz}{dt}=8$

We are required to find;

$\frac{dA}{dt}$ when z = 4

By chain rule;

$\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}$

Differentiating $A=\frac{z^{2} }{2}$ with respect to z yields;

$\frac{dA}{dz}=z$

Therefore,

$\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}$ = 8z

When z is 4m the area of the square will be increasing at a rate of;

8m/min * 4m = 32 $m^{2}/min$

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3 years ago

What is the decimal representation of 2/10

ad-work [718]

.2 is the decimal representation of 2/10

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3 years ago

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HELPPP please I forgot how-

PtichkaEL [24]

Answer:

min: 8

max:28

med: 22

1st quartile: 12

3rd quartile: 26

hope this helps :)))

Step-by-step explanation:

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3 years ago

A how much more interest is owed on $900 for 9 months than 6 months?

maks197457 [2]

The amount of money owed is an extra 300 dollars

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3 years ago

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