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Alinara [238K]
3 years ago
14

If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t h

ours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?
Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:  1.58 hours

<u>Step-by-step explanation:</u>

5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t

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–34 = –2(g − 70) g = _____
olganol [36]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>g = 87</em>

▹ Step-by-Step Explanation

-34 = -2(g - 70)

<u>Divide both sides</u>

17 = g - 70

<u>Rearrange the terms</u>

-g + 17 = 70

<u>Calculate</u>

-g = -87

<u>Change the signs</u>

g = 87

<u>Final Answer</u>

g = 87

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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7 0
3 years ago
Read 2 more answers
Does dose anyone know how to solve this?
solniwko [45]

Answer:

Width of rectangle = 6 m

Length of rectangle = 11 m

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 3w-7

Area of rectangle = 66 m²

We need to find length and width of rectangle

The formula used is: Area=Length \times Width

Putting values and finding w

Area=Length \times Width\\66=(3w-7)(w)\\66=3w^2-7w\\3w^2-7w-66=0\\

Solve using quadratic formula: w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

We have a=3, b=-7, c=-66

Putting values and finding w

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-(-7)\pm\sqrt{(7)^2-4(3)(-66)}}{2(3)}\\w=\frac{7\pm\sqrt{49+792}}{6}\\w=\frac{7\pm\sqrt{841}}{6}\\w=\frac{7\pm29}{6}\\w=\frac{7+29}{6}\:,\:w=\frac{7-29}{6}\\w=6, w=-3.6

We get values of w as w=6 and w=-3.6

As we know width cannot be negative, so considering w = 6

So, Width = 6

Length = 3w-7 = 3(6)-7 = 18-7 = 11

So, Width of rectangle = 6 m

Length of rectangle = 11 m

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