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3 years ago

Convert 555 into base five numeral system .( no link pls)............

Mathematics

1 answer:

Anna11 [10]3 years ago

6 0

Presumably you mean 555 as a number in base 10.

We have

555 = 5 • (100 + 10 + 1)

… = 5 • (4 • 25 + 2 • 5 + 1)

… = 5 • (4 • 5² + 2 • 5¹ + 1 • 5⁰)

… = 4 • 5³ + 2 • 5² + 1 • 5¹

… = 4210₅

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4 years ago

Read 2 more answers

A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13

charle [14.2K]

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that $P(0) = 5000$

$P(t) = 5000e^{rt}$

After three hours it grew 6500 bacteria:

This means that $P(3) = 6500$ . We use this to find r.

$P(t) = 5000e^{rt}$

$6500 = 5000e^{3r}$

$e^{3r} = \frac{65}{50}$

$\ln{e^{3r}} = \ln{\frac{65}{50}}$

$3r = \ln{\frac{65}{50}}$

$r = \frac{\ln{\frac{65}{50}}}{3}$

$r = 0.0875$

$P(t) = 5000e^{0.0875t}$

How many bacteria will be present after 13 hours?

This is P(13). So

$P(13) = 5000e^{0.0875*13} = 15594.8$

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

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3 years ago

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Answer: 5,4

Step-by-step explanation:

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3 years ago

Y=3x+4 , 9x-3y=-6 do the lines intersect or are they parallel or are they perpendicular

Angelina_Jolie [31]

Answer:

Lines are parallel.

Step-by-step explanation:

The given lines are $y=3x+4,\ 9x-3y=6$

Rearrange the equation in the slope intercept form that is $y=mx+b$ where $m$ is the slope.

First Line:

$y=3x+4$

compare it with $y=mx+b$

slope ( $m_{1}$ ) of first line $=3$

Second Line:

$9x-3y=6\\9x-6=3y\\3y=9x-6$

divide both by $3$

$y=3x-3$

compare it with $y=mx+b$

slope $(m_{2})$ of second line $=3$

Since slope of two lines are equal

$m_{1}=m_{2}=3$

hence these lines are parallel.

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3 years ago

Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write

Tasya [4]

Answer:

Joe worked 3 hours overtime.

Step-by-step explanation:

Let t = number of hours overworked

425 + 20 × t = 485

425 + 20t = 485

20t = 485 - 425

= 60

$\frac{20t}{20} = \frac{60}{20}$

t = 3

$\therefore$ Joe worked 3 hours over time.

Hope this helps :)

6 0

3 years ago

Convert 555 into base five numeral system .( no link pls)............​

Convert 555 into base five numeral system .( no link pls)............