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guajiro [1.7K]
3 years ago
7

The number of bacteria in a culture increases continuously and rapidly when put under a heat source. a culture containing 20 bac

teria multiplies to 117,360 in one minute.
a.what is the rate of increase, as a percentage to the nearest hundredth, if time is measured in seconds
Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

The answer is 14.46%

Step-by-step explanation:

Given is : A culture containing 20 bacteria multiplies to 117,360 in one minute.

Let A0 be initial bacteria count = 20

Let A be final bacteria count = 117360

Time = 60 seconds

R = rate

Formula to be used = A=A0e^{rt}

117360=20e^{r*60}

5868=e^{60r}

Taking log function (ln) on both sides.

ln(5868)=ln(e^{60r} )

60r=8.677

Hence, r = 0.1446 and in percentage it is 14.46%

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Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define
sashaice [31]

Answer:

Inequality = 6 + x ≤ 10

x(Number of hours more of television Sarah can still watch this week) = 4 hours

Step-by-step explanation:

Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.

We are told in the question that:

Sarah is allowed to watch no more than 10 hours of television each week.

This means :

Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.

Hence:

The number of hours left that Sarah can watch television in a week is represented as x

Our Inequality Equation =

6hours + x hours ≤ 10 hours

6 + x ≤ 10

Solving the inequality

x ≤ 10 - 6

x ≤ 4 hours

This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week

7 0
3 years ago
2. Given that the radius of the Earth is 6340 Km. calculate the Surface Acer of earth <br>​
serious [3.7K]

Answer:

Step-by-step explanation:

The surface area of a sphere (which the earth is considered to be) = 4 pi r^2

pi = 3.14

r = 6340

Area = 4 * 3.14 * 6340 * 6340 = 504856736 square km.

You should either round this to 505,000,000 or express a value in scientific notation.

5.05 * 10^8

6 0
3 years ago
Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the
jonny [76]

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x

x × 0.1 × 1 + (40000 - x) × 0.06 × 1 = 3600

(0.1- 0.06)x + 2400 = 3600

0.04 x = 1200

x = 30,000

Since x =  sum of money invested in corporate bonds

So  sum of money invested in corporate bonds = 30000

4 0
3 years ago
Factor completely 3a4y3 − 12a3y2 + 6a2y.
Firlakuza [10]

Step-by-step explanation:

3a^4y^3-12a^3y^2+6a^2y=(3a^2y)(a^2y^2)-(3a^2y)(4ay)+(3a^2y)(2)\\\\=(3a^2y)(a^2y^2-4ay+2)

5 0
3 years ago
Which transformation<br> represents a reflectiom over the y axis
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A reflection over the Y-axis would be the flipped point or set of points across the y axis while still retaining the same distance from the y-axis.

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3 0
3 years ago
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