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2 years ago

14

Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such

a way that their number doubles every 20 minutes.

1 answer:

DedPeter [7]2 years ago

5 0

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

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a circle is inscribed in a square. the circumference of the circle is increading at a constant rate of 6 inches per second. As t

Burka [1]

Answer:

The rate at which Perimeter of the square is increasing is $\frac{24}{\pi} \ in/secs$ .

Step-by-step explanation:

Given:

Circumference of the circle = $2\pi r$

Rate of change of in circumference = 6 in/secs

We need to find the rate at which the perimeter of the square is increasing

Solution:

Now we know that;

$\frac{d(2\pi r)}{dt} =6\\\\2\pi\frac{dr}{dt}=6\\\\\frac{dr}{dt}=\frac{6}{2\pi}\\\\\frac{dr}{dt}=\frac{3}{\pi}$

Now we know that;

side of the square= diameter of the circle

side of the square = $2r$

Now Perimeter of the square is given by 4 times length of the side.

$P=4\times 2r =8r$

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

$\frac{dP}{dt}= \frac{d(8r)}{dt}\\\\\frac{dP}{dt}= 8\times\frac{dr}{dt}$

But $\frac{dr}{dt} =\frac{3}{\pi}$

So we get;

$\frac{dP}{dt}= 8\times\frac{3}{\pi}\\\\\frac{dP}{dt}= \frac{24}{\pi}\ in/sec$

Hence The rate at which Perimeter of the square is increasing is $\frac{24}{\pi} \ in/secs$ .

5 0

3 years ago

F(x)= {2ˆx, X<0<br><br> {-xˆ2 -4x +1, 0 2

N76 [4]

Answer: If x is less than 0, 2 to the power of that negative x will be 1/2^x.

So, 1/2^x.

Step-by-step explanation:

I can't go any further without more info about value of x.

5 0

2 years ago

Evaluate the following absolute value expression |-6 |

allsm [11]

Answer:

6

Step-by-step explanation:

|-6| = 6

3 0

3 years ago

Read 2 more answers

X + 5y = 8<br> 3x = 24 - 157

bezimeni [28]

Answer:

1) x+5y=8 (that’s a basically simplified already)

2) -44 1/3

Step-by-step explanation:

1) Since its in it’s most simplified form, leave it like that.

2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable

5 0

3 years ago

simplify -6/35 please

mojhsa [17]

Answer:

−0.171428571 or -6/35

Step-by-step explanation:

This is the Simplest form

6 0

1 year ago