All categories

2 years ago

A colony of 100 bacteria doubles in size every 60 hours. What will the population be 180 hours from now?

Mathematics

1 answer:

yulyashka [42]2 years ago

4 0

Answer:

600

Step-by-step explanation: $100\times2\times\frac{180}{60}$

Cross out the common factor

$100\times2\times3$

Calculate the product or quotient

$200\times3$
$600\ YOUR\ ANSWER\ which\ can\ also\ be\ written\ as\ 6\times{10}^2\$

I hope this helps you

:)

You might be interested in

Which term is a perfect square of the root 3x^4

Juli2301 [7.4K]

9x^8

lmk if this helped :)

3 0

3 years ago

How many solutions does the following linear equation have? y = -2x -4 y = 1/2x - 5

Andrews [41]

Answer:

x=2/5, y=-24/5. (2/5, -24/5).

Step-by-step explanation:

y=-2x-4

y=1/2x-5

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

-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5

5 0

3 years ago

Help me find Sample variance and standard deviation

AnnZ [28]

First, find the mean. You'll need it to compute the variance.

$\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11$

The variance of the sample is then computed with the formula

$s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5$

The standard deviation is the square root of the variance, so

$s=\sqrt{35.5}\approx5.958$

5 0

3 years ago

Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12

chubhunter [2.5K]

The cost to paint the walls and the ceiling is $855

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

brainly.com/question/24487155

#SPJ1

6 0

2 years ago

If anyone could help me, it would be greatly appreciated!

Sav [38]

Answer: $x=65^{\circ}, y=65^{\circ}, z=65^{\circ}$

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

z = y = (180-50)/2 = 65.

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

7 0

2 years ago