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timama [110]
3 years ago
8

How many hours will it take a culture of bacteria to increase from 20 to 2000 if the growth rate per hour is 85%

Mathematics
1 answer:
galben [10]3 years ago
3 0

Answer:

Approximately

7.5

hours

Step-by-step explanation:

Explanation:

We are trying to determine the value of

h

in the compound growth formula

XXX

20

×

(

1

+

0.85

)

h

=

2000

or, simplified:

XXX

1.85

h

=

100

Taking the

log

1.85

of both sides:

XXX

log

1.85

100

With the aid of my trusty spreadsheet:

XXX

h

≈

7.48582192

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Question 3 "Try Again." Mary needs 3 feet of boondoggle for a craft project.
kati45 [8]

Answer:

$9.00

Step-by-step explanation:

We can use conversion factors to solve this equation. The multiplication sequence that I got is shown below:

\frac{3ft}{1} × \frac{12 in}{1ft} × \frac{0.25}{1in}

Our feet and inches cancel out and we get the final expression \frac{3*12*0.25}{1}, which is equal to 9, or $9.00.

Hopefully that was helpful! :)

7 0
3 years ago
If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bot
Naddika [18.5K]

Answer:

9.6

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

8 0
3 years ago
Read 2 more answers
The image below, what is true about angles 1, 2, and 3?
ziro4ka [17]

Answer:

C. 2 = 37

Step-by-step explanation:

<2 and 37 are vertical angles and vertical angles are equal

Angle 1 and 37 form a straight line so they add to 180

<1 + 37 = 180

<1 = 180-37 = 143

Angle 3 and 37 form a straight line so they add to 180

<3 + 37 = 180

<3= 180-37 = 143

6 0
3 years ago
Read 2 more answers
Please answer this and thank you<br><br> If DE=4x+10, EF=2-1, and DF=9x-15, find DF.
professor190 [17]
I hope that 2-1 means 21.

DE + EF = DF
4x + 10 + 21 = 9x - 15
4x + 31 = 9x - 15
31 = 9x - 4x - 15
31 = 5x - 15
46 = 5x
x = 9 1/5 = 9.2

You want 9x - 15
9*9.2 - 15
82.8 - 15
67.8 <<<<< answer. 
If I have given the wrong meaning to 2-1 (which could mean 1) leave another note and I will correct my work. 
8 0
3 years ago
A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
Nitella [24]

Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

\Rightarrow\ 2x^2-7x=72

Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
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