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2 months ago

-13/16; -7/8; -15/2; 7/4 hope i helped good luck on ur exam :)

Question

The population of a town is 81,712 and declines continuously at a rate of 4.1% each year. What is the approximate population of the town in 17 years? A. 40,699
B. 24,759
C. 164,055
D. 40,105

Solution 1

Data:

P (Final population) = ?

Po (Initial population) = 81712

r (rate) = 4,1% = 0,041

t (time in years) = 17

Answer:

**B) 24759**

P (Final population) = ?

Po (Initial population) = 81712

r (rate) = 4,1% = 0,041

t (time in years) = 17

Answer:

Question

A pedlock has a four digit code that includes digits from 0 to 9, inclusive. What is the probability that the code does not consist of all odd digits of the same digit is not used more than once in the code ??

Solution 1

There are ways of making four-digit codes from the five available odd numerals (1, 3, 5, 7, 9) without replacement. Without any restrictions aside from no replacement, there are possible codes that can be made.Â So the probability of randomly choosing a code made up only odd digits is

which means the probability of this not occurring is

which means the probability of this not occurring is

Solution 2

The answer is **4,920 out of 5,040** or 41/42.

Hope it helps!

Question

Viruses and viral videos portfolio help Is there anyone from connections that can help me with this portfolio?

Solution 1

I'm stuck on this portfolio too. here it is

Directions: Ever wonder where the term viral came from when talking about shared electronic media? Is it an accurate term to use? In this portfolio, you are going to explore the relationship between actual viral growth and the spread of electronic media.

Â Viruses 1. First you will focus on actual viral growth inside a human body. Pick a virus and research its growth rate. If you are having trouble finding a growth rate for a specific virus, make up your own growth rate. Use your growth rate to create an exponential growth function. Make a table for the number of virions (virus particles) that can grow inside a human body. Start with one virion on the first day, and continue the table for two weeks. How does that compare to the number of cells in a personâ€™s body? You will submit the following. a. a comparison to the overall number of cells b. a growth function c. a table of virions 2. Now use a graphing calculator or computer program to graph your function from part 1. Your body also has ways of hunting and destroying viruses it finds in your body. Describe how the behaviors of the graph would change if you took into consideration other factors, like the immune system working or the physical limitations of your body. Can you think of any additional factors that could be considered? You will submit the following. a. a graph of the number of virions in the body b. additional factors to be considered c. changes in the graph from other factors 3. Could the same general exponential growth model apply to the spread of a virus from person to person, instead of growth of a virus inside a body? What factors could influence the spread of a virus from person to person? Write a brief paragraph comparing the growth of a virus inside a single person to the spread of a virus from person to person. How might it be the same, how might it be different? You will submit a brief paragraph.

Â Viral Videos 4. Next, think about how videos are posted and shared online. First, examine an unpopular video on a single social medium. Suppose that, on the very first day of this video was posted, it received its highest quantity of views. As the days go on, the video receives fewer and fewer each day. Create an exponential function that models the number of views the video gets each day. Determine for yourself the number of times the video was initially viewed on its first day, or its initial value, and decide on a daily decay factor Â

Â© 2015 Connections Education LLC. All rights reserved.

less than one. Now graph the function and make sure to track its number of daily views over a one-month period. You will submit the following. a. an unpopular video function b. an unpopular video graph 5. Look at a popular video. Create another exponential function with a smaller initial value (i.e., the number of times the video was viewed on its first day), but this time, with a growth factor that is greater than one. Graph the popular video function and make sure to show its number of daily views over a one-month period. What are the differences in the functions and the behavior of the graphs between the popular and the unpopular videos? You will submit the following. a. a popular video function b. a popular video graph c. a comparison of the unpopular video to the popular video 6. What are some factors that you did not consider in your model that could influence the spread of a viral electronic media? Write a brief paragraph that describes some additional factors that you could take into account, and how that might change the behavior of the function and graph. You will submit the following. a. a brief paragraph

Directions: Ever wonder where the term viral came from when talking about shared electronic media? Is it an accurate term to use? In this portfolio, you are going to explore the relationship between actual viral growth and the spread of electronic media.

Â Viruses 1. First you will focus on actual viral growth inside a human body. Pick a virus and research its growth rate. If you are having trouble finding a growth rate for a specific virus, make up your own growth rate. Use your growth rate to create an exponential growth function. Make a table for the number of virions (virus particles) that can grow inside a human body. Start with one virion on the first day, and continue the table for two weeks. How does that compare to the number of cells in a personâ€™s body? You will submit the following. a. a comparison to the overall number of cells b. a growth function c. a table of virions 2. Now use a graphing calculator or computer program to graph your function from part 1. Your body also has ways of hunting and destroying viruses it finds in your body. Describe how the behaviors of the graph would change if you took into consideration other factors, like the immune system working or the physical limitations of your body. Can you think of any additional factors that could be considered? You will submit the following. a. a graph of the number of virions in the body b. additional factors to be considered c. changes in the graph from other factors 3. Could the same general exponential growth model apply to the spread of a virus from person to person, instead of growth of a virus inside a body? What factors could influence the spread of a virus from person to person? Write a brief paragraph comparing the growth of a virus inside a single person to the spread of a virus from person to person. How might it be the same, how might it be different? You will submit a brief paragraph.

Â Viral Videos 4. Next, think about how videos are posted and shared online. First, examine an unpopular video on a single social medium. Suppose that, on the very first day of this video was posted, it received its highest quantity of views. As the days go on, the video receives fewer and fewer each day. Create an exponential function that models the number of views the video gets each day. Determine for yourself the number of times the video was initially viewed on its first day, or its initial value, and decide on a daily decay factor Â

Â© 2015 Connections Education LLC. All rights reserved.

less than one. Now graph the function and make sure to track its number of daily views over a one-month period. You will submit the following. a. an unpopular video function b. an unpopular video graph 5. Look at a popular video. Create another exponential function with a smaller initial value (i.e., the number of times the video was viewed on its first day), but this time, with a growth factor that is greater than one. Graph the popular video function and make sure to show its number of daily views over a one-month period. What are the differences in the functions and the behavior of the graphs between the popular and the unpopular videos? You will submit the following. a. a popular video function b. a popular video graph c. a comparison of the unpopular video to the popular video 6. What are some factors that you did not consider in your model that could influence the spread of a viral electronic media? Write a brief paragraph that describes some additional factors that you could take into account, and how that might change the behavior of the function and graph. You will submit the following. a. a brief paragraph

Question

For what value of x is angle 1 complementary to angle 2, if m angle 1=5x+4 and m angle 2=7x+2?

Solution 1

TwoÂ AnglesÂ areÂ ComplementaryÂ when they add up to 90 degrees (a RightÂ Angle). They don't have to be next to each other, just so long as the total is 90 degrees.

So (5x + 4) + ( 7x + 2) = 90

12x + 6 = 90

12x = 90 â€“ 6

12x = 84

X = 7

Question

The length of a rectangle is 5 yd longer than its width. If the perimeter of the rectangle is 38 yd , find its area.

Solution 1

L=5+W

P=2(L+W)

38=2(L+W)

divide by 2

19=L+W

sub 5+W for L

19=5+W+W

19=5+2W

minus 5 both sides

14=2W

divid both sides by 2

7=W

L=5+W

L=5+7

L=12

area=LW

are=12 times 7

area=84 ydÂ²

P=2(L+W)

38=2(L+W)

divide by 2

19=L+W

sub 5+W for L

19=5+W+W

19=5+2W

minus 5 both sides

14=2W

divid both sides by 2

7=W

L=5+W

L=5+7

L=12

area=LW

are=12 times 7

area=84 ydÂ²

Question

Which expression is equivalent to the given expression? 8(3/4a)âˆ’8
1. 3/4a
2. 6a
3. 8(3/4a - 1)
4. 3/4a -1

Solution 1

**Answer:**

The correct option is 3.

**Step-by-step explanation:**

The given expression is

The factors of each term are

The common factor is 8.

Take out the common factor from the given expression.

**Therefore option 3 is correct.**

Solution 2

8(3/4a)âˆ’8 = 8(3/4a - 1)

answerÂ 3. 8(3/4a - 1)Â

answerÂ 3. 8(3/4a - 1)Â

Question

PLZ HLP ASAP!!! A park is 2000 hectares in area. If the park is square, what would be the length of each side in kilometers, to the nearest tenth of a kilometer? (1 square kilometer = 100 hectares)

Solution 1

(1 square kilometerÂ =Â 100 hectares). hope this helps you out but idk the answers so only thing i can do is give u help but hope it helps you :)

Question

Find all the zeros. SHOW ALL WORK!
5x^3 â€“ 5x = 0
Thank you for your help :)

Solution 1

Factor

remember

if xy=0, assume that x and y=0

also

difference of 2 perfect squares

aÂ²-bÂ²=(a-b)(a+b)

so

5xÂ³-5x=0

factor out 5x

5x(xÂ²-1)=0

5x(xÂ²-1Â²)=0

factor perefect square

5x(x-1)(x+1)=0

set each to zero

5x=0

x=0

x-1=0

x=1

x+1=0

x=-1

x=-1 or 0 or 1

remember

if xy=0, assume that x and y=0

also

difference of 2 perfect squares

aÂ²-bÂ²=(a-b)(a+b)

so

5xÂ³-5x=0

factor out 5x

5x(xÂ²-1)=0

5x(xÂ²-1Â²)=0

factor perefect square

5x(x-1)(x+1)=0

set each to zero

5x=0

x=0

x-1=0

x=1

x+1=0

x=-1

x=-1 or 0 or 1

Question

Sn: 1 âˆ™ 2 + 2 âˆ™ 3 + 3 âˆ™ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3

Solution 1

Steps to inductive

1. show it's true for n=1

2. replace n with k

3. replace k with k+1 and show it is true statement

4. state that it's true

1. show it's true for n=1

1(1+1)=[1(1+1)(1+2)]/3

1(2)=[(2)(3)]/3

2=6/3

2=2

true

2. assume it's true for n=k

1*2+2*3+3*4+...+k(k+1)=[k(k+1)(k+2)]/3

3. show it's true for replaceing k with k+1

1*2+2*3+3*4+...+k(k+1)+(k+1)((k+1)+1)=[(k+1)((k+1)+1)((k+1)+2)]/3

remember from before that 1*2+2*3+3*4+...+k(k+1)=[k(k+1)(k+2)]/3

[k(k+1)(k+2)]/3+(k+1)(k+2)=[(k+1)(k+2)(k+3)]/3

use algebra to show this is true (get it to k=k or something like that)

here's the fun part

deal with left side to get to like right side

[k(k+1)(k+2)]/3+(k+1)(k+2)

make over 3, so muliptlu 2nd thing by 3/3

[k(k+1)(k+2)]/3+((k+1)(k+2)3)/3

[k(k+1)(k+2)+3(k+1)(k+3)]/3

we can undistribute the (k+1)(k+2) part

[(k+1)(k+2)(k+3)]/3

now remember the right side?

[(k+1)(k+2)(k+3)]/3=[(k+1)(k+2)(k+3)]/3

tada

true

4. state it

therefor 1 âˆ™ 2 + 2 âˆ™ 3 + 3 âˆ™ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3 is true for all real numbers

1. show it's true for n=1

2. replace n with k

3. replace k with k+1 and show it is true statement

4. state that it's true

1. show it's true for n=1

1(1+1)=[1(1+1)(1+2)]/3

1(2)=[(2)(3)]/3

2=6/3

2=2

true

2. assume it's true for n=k

1*2+2*3+3*4+...+k(k+1)=[k(k+1)(k+2)]/3

3. show it's true for replaceing k with k+1

1*2+2*3+3*4+...+k(k+1)+(k+1)((k+1)+1)=[(k+1)((k+1)+1)((k+1)+2)]/3

remember from before that 1*2+2*3+3*4+...+k(k+1)=[k(k+1)(k+2)]/3

[k(k+1)(k+2)]/3+(k+1)(k+2)=[(k+1)(k+2)(k+3)]/3

use algebra to show this is true (get it to k=k or something like that)

here's the fun part

deal with left side to get to like right side

[k(k+1)(k+2)]/3+(k+1)(k+2)

make over 3, so muliptlu 2nd thing by 3/3

[k(k+1)(k+2)]/3+((k+1)(k+2)3)/3

[k(k+1)(k+2)+3(k+1)(k+3)]/3

we can undistribute the (k+1)(k+2) part

[(k+1)(k+2)(k+3)]/3

now remember the right side?

[(k+1)(k+2)(k+3)]/3=[(k+1)(k+2)(k+3)]/3

tada

true

4. state it

therefor 1 âˆ™ 2 + 2 âˆ™ 3 + 3 âˆ™ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3 is true for all real numbers

Question

Which expression is equivalent to the given expression? 8(3/4a)âˆ’8
1. 3/4a
2. 6a
3. 8(3/4a - 1)
4. 3/4a -1

Solution 1

**Answer:**

**Step-by-step explanation:**

8 (3/4a) - 8

The above expression can be written as:

Since 8 is a common factor here which is multiple of 3/4a as well as 1 therefore taking 8 as a common factor from whole equation,

Therefore option (3) is the correct answer.

Solution 2

The answer is 3 cause we can factor 8 from the whole equasion .

that means to take 8 out of every given data so

since we have 8 multiple 3/4a we can have an 8 and we also have -8 so we can divide it to 8 and take 8 out of it which leads us to 8(3/4a-1)

that means to take 8 out of every given data so

since we have 8 multiple 3/4a we can have an 8 and we also have -8 so we can divide it to 8 and take 8 out of it which leads us to 8(3/4a-1)

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