How to say 6.324 in word form

Scenario: Two people in a major city with a population of 450,000 get infected with a rapidly spreading virus. If each day the i

zmey [24]

1) See attachment.

2) See attachment

3) $y=2^{x+1}$

4) 17.8 days

Step-by-step explanation:

1)

The table is in attachment.

In this problem, we are told that the initial number of people infected ad day zero is two, so the first row is (0,2).

Then, we are told that each day, an infected person infects 2 additional people. Therefore, at day 1, the number of infected people will be 2*2=4.

Then, each of the 4 persons infect 2 additional persons, so the number of infected people at day 2 will be 4*2=8.

Continuing the sequence, the following days the number of infected people will be:

8*2 = 16

16*2 = 32

32*2 = 64

2)

The graph representing the situation is shown in attachment.

On the x-axis, we have represented the day, from zero to 5.

On the y-axis, we have represented the number of infected people.

We see that the points on the graph are:

0, 2

1, 4

2, 8

3, 16

4, 32

5, 64

3)

Here we have to create a mathematics model (so, an equation) representing this scenario.

First of all, we notice that the number of infected people at day 0 is 2:

$p(0)=2$

To write an equation, we call $x$ the number of the day; this means that at x = 0, the value of y (number of infected people) is 2:

$y=2$

Then, at day 1 (x=1), the number of infected people is doubled:

$y(1)=2y(0)=2\cdot 2 = 4$

And so on. This means that for each increase of x of 1 unit, the value of y doubles: so, we can represents the model as

$y=2\cdot 2^x$

Or

$y=2^{x+1}$

4)

Here we are told that the entire city has a population of

p = 450,000

people.

In order for the virus to infect the whole population, it means that the value of y must be equal to the total population:

y = 450,000

Substituting into the equation of the model, this means that

$450,000 = 2^{x+1}$

And solving for x, we find the number of days after which this will happen:

$log_2(450,000)=x+1\\x=log_2(450,000)-1=17.8 d$

So, after 17.8 days.

8 0

3 years ago

What is special about a radioactive cat?

lesya692 [45]

I could go through and answer it all and give you the answer but i think this will be better. Scientific Notation is just a way to sum up a long number so you don't have to write out a bunch of zeros. Without talking about "significant figures" you just put a decimal point after the first actual number, add a "x 10" then count the zeros and write the number as a superscript to the 10. any number like this 0.000.... (smaller than 1) has a negative superscript. any number like 10000... (larger than 1) has a positive superscript.

Example:
6,200,000 = 6.2 x 10^6
&
0.0000062 = 6.2 x 10^-6

Here are some general rules now that you know what you are trying to do:

1. Scientific Notation ONLY ever has ONE number in front of the decimal, like this: 6.02 x 10^23.
NOT LIKE THIS: 60.2 x10^23 or 61.2 x 10^23
and NEVER a zero like this: 0.70 x 10^23.

2. it is ONLY ever a multiplication symbol, 6.02 "x" 10^23, NEVER divide, + or -.

3. for the examples on this paper, do NOT include zero's on the end like this 7.20 x 10^23. Only the actual numbers, and, zeros that are between numbers like this 6.0201 x 10^23. The zero's on the end get summed up and are noted in the ^23 part. (This part is called a superscript, in case you didn't know that)

4. In the last section they are just showing you some incorrect stuff to trick you up. Just put the decimal in the correct place and adjust the ^23 superscript bit.

7 0

3 years ago

Read 2 more answers

Find the height in inches of a wall that is 6 inches less than 12 feet tall.

Gre4nikov [31]

Answer: I believe its 138 inches, if 'wrong i'm sowwy.

Step-by-step explanation: It sates to find the height of the was 6 inches less than 12 feet tall, this means were subtracting 6 (less than) into 12 feet. We cant do that until we convert inches into feet. we know that 12 inches is equal to 1 foot.

Easier way to do this is to .. multiply 12 by 12 which is = 144

12 inch = 1 ft

24 inch = 2 ft

SO, 144 - 6 = 138

To convert this into feet we divide 12 into 138 which is 11.5 feet.

5 0

4 years ago

Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the

faltersainse [42]

Answer:

Charyn's coffee is the dearest.

Difference per pound is $0.96.

Step-by-step explanation:

Price per pound = total price / pounds bought

For Danielle this

is 35 / 6 1/3

= 35 / 19/3

= 35 * 3 / 19

= $5.526.

For Charyn this

is 60 / 9 1/4

= 60 / 37/4

= 60 * 4 / 37

= $6.486.

Difference = $0.96.

8 0

3 years ago

Which of the following is the graph of y=-(x-2)8-5?

Nina [5.8K]

Answer:

slope: -8

y-intercept: 11

Step-by-step explanation:

x = 1, 3

y = 2, -5

8 0

3 years ago