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2 years ago

Determine the input value for which the statement

Mathematics

1 answer:

nasty-shy [4]2 years ago

8 0

Answer:

3 and 10/3

Step-by-step explanation:

Multiply both sides by 2/3.

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Which of the following pairs of organisms compete with each other for food?

erastovalidia [21]

The answer would be D. Mice and Rabbits. Hope it helps! :)

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4 years ago

Read 2 more answers

1. Use the distributive property to simplify.<br> 3 (a – 2c)

cluponka [151]

3a-6c is ans as 3x2=6

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3 years ago

A container initially containing10 L of water in which there is 20 g of salt dissolved. A solution containing 4 g/L of salt is p

Kay [80]

Answer:

$A(40)= \frac{-200}{10+40} +4 (10 +40)=-4+200 = 196$

Step-by-step explanation:

For this case the solution flows at a rate of 2L/min and leaves at 1L/min. So then we can conclude the volume is given by $V= 10 +t$

Since the initial volume is 10 L and the volume increase at a rate of 1L/min.

For this case we can define A as the concentration for the salt in the container. And for this case we can set up the following differential equation:

$\frac{dA}{dt}= 4 \frac{gr}{L} *2 \frac{L}{min} - \frac{A}{10+t}$

Because at the begin we have a concentration of 8 gr/L and would be decreasing at a rate of $\frac{A}{10+t}$

So then we can reorder the differential equation like this:

$\frac{dA}{dt} +\frac{A}{10+t} =8$

We find the solution using the integration factor:

$\mu = -\int \frac{1}{10+t} dt = -ln(10+t)$

And then the solution would be given by:

$A = e^{-ln (10+t)} (\int e^{\int \frac{1}{10+t} dt})$

And if we simplify this we got:

$A= \frac{1}{10+t} (c + \int (10 +t) 8 dt)$

And after do the integral we got:

$A= \frac{c}{10+t} +4 (10 +t)$

And using the initial condition t=0 A= 20 we have this:

$20 = \frac{c}{10} +40$

$c= -200$

So then we have this function for the solution of A:

$A= \frac{-200}{10+t} +4 (10 +t)$

And now replacinf t= 40 we got:

$A(40)= \frac{-200}{10+40} +4 (10 +40)=-4+200 = 196$

8 0

3 years ago

Please help i am confused

Kisachek [45]

I’m not sure about the second half but since it’s a triangle all of the angles add up to 180° so you can find the third angle by adding 61 and 90 then subtracting that from 180 to get the third angle

4 0

3 years ago

How do you do square roots totem pole

Igoryamba

Well the square root of a number is a number times its self equaling the number you're getting the square root of. For example:

<span>√ 25
</span>
To get sqrt of 25 we need to find a number times its self that equals 25. Lets try 8.

8 x 8 = 64

Well thats much too high, We'll try a lower number.

4 x 4 = 16

Just a little higher.

5 x 5 = 25

Since 5 times itself equals 25 that makes it the sqrt.

So, the √ 25 is 5.

7 0

3 years ago