Can someone help me with these two questions I don’t know how to do it and it’s due at 11 I would really appreciate it

Can Someone Help Me With These Two Questions I Dont Know How To Do It And Its Due At 11 I Would Really

Answers

Answer 1

Answer:

6. Unit rate = 1.3 yards per second

7. Unit rate = 0.8 page per minute

Step-by-step explanation:

The unit rate is simply the comparison of 2 quantities, whereby dividing both, the denominator must be 1.

For example, in the graph given comparing distance walked over time, when x (time in s) = 3, y (distance in yd) = 4.

Unit rate represented by the slope is the yards covered per second.

Unit rate = [tex] \frac{4}{3} = 1.33 [/tex]

Unit rate ≈ 1.3 yards per second

For the second graph given, unit rate of the slope is the number of pages read per minute.

From the graph, 4 pages is read at 5 minutes.

Thus,

Unit rate = [tex] \frac{4}{5} = 0.8 [/tex]

Unit rate = 0.8 page per minute


Related Questions

George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 1/2 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 1/2 mile in order to arrive just as school begins today?

Answers

Answer:

George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today

Step-by-step explanation:

Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.

Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.

Mathematically;

time = distance/speed

He walks 1 mile at 3 miles per hour.

Thus, the total amount of time he spend each normal day would be;

time = 1/3 hour or 20 minutes

Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.

Let the unknown speed be x miles/hour

Mathematically;

We shall be using the formula for time by dividing the distance by the speed

1/3 = 1/2/(2) + 1/2/x

1/3 = 1/4 + 1/2x

1/2x = 1/3 - 1/4

1/2x = (4-3)/12

1/2x = 1/12

2x = 12

x = 12/2

x = 6 miles per hour

If Line LK = 16, find the length of Line JK.

Answers

Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.

Answers

Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?

Answers

Answer:

He deposited 16 $5 bills.

Step-by-step explanation:

State your variables

let x be the number of $1 bills

let y be the number of $5 bills

Create a system of equations

x + 5y = 200       (eq'n 1 -- for amount of money)

x + y = 136           (eq'n 2 -- for number of bills)

Solve the system for y

I will solve using substitution.  Rearrange eq'n 2 to isolate variable x.

x + y = 136

x = 136 - y           (eq'n 3)

Substitute eq'n 3 into eq'n 1.

x + 5y = 200

136 - y + 5y = 200

136 + 4y = 200

4y = 64

y = 16

Solve for x to check answer

Substitute y = 16 into eq'n 2.

x + y = 136

x + 16 = 136

x = 120

Substitute x = 120 into eq'n 1.

x + 5y = 200

120 + 5(16) = 200

120 + 80 = 200

200 = 200

LS = RS          Both sides are equal, so the solution is correct.

Therefore, Jack deposited 16 five dollar bills.

figure out if the equation is inverse or direct

Answers

Answer:

A. Inverse variation

B. Direct variation

C. Direct variation

D. Inverse variation

Hope this helps you

If f(x)=k (square root)2+x, and f^-^1 (-15)=7, what is the value of k

Answers

There's a bit of ambiguity in your question...

We know that [tex]f^{-1}(-15)=7[/tex], which means [tex]f(7)=-15[/tex].

I see three possible interpretations:

• If [tex]f(x)=k\sqrt2+x[/tex], then

[tex]f(7)=-15=k\sqrt2+7\implies k\sqrt2=-22\implies k=-\dfrac{22}{\sqrt2}=11\sqrt2[/tex]

• If [tex]f(x)=k\sqrt{2+x}[/tex], then

[tex]f(7)=-15=k\sqrt{2+7}\implies -15=3k\implies k=-5[/tex]

• If [tex]f(x)=\sqrt[k]{2+x}[/tex], then

[tex]f(7)=-15=\sqrt[k]{2+7}\implies-15=9^{1/k}\implies\dfrac1k=\log_9(-15)[/tex]

which has no real-valued solution.

I suspect the second interpretation is what you meant to write.

Question 4 of 8
Consider the recursive function of an arithmetic sequence below.
f(1) = 3
f(n) = f(n − 1) + 4, for n = 2, 3, 4,...
What is the 6th term of the sequence?
19
23
27
22
Submit

Answers

Answer:

[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]

So the answer is 23.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A square has diagonals of length 10 cm. Find the sides of the square

Answers

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The diagonal divides the square into 2 right triangles.

let s be the side of the square with the diagonal being the hypotenuse.

Applying Pythagoras' identity to one right triangle, gives

s² + s² = 10² , that is

2s² = 100 ( divide both sides by 2 )

s² = 50 ( take the square root of both sides )

s = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]

Which letter has a line of symmetry?

Answers

Answer:

D. all of the above

Step-by-step explanation:

All the letters from the options have a line of symmetry.


A town currently has a population of 1,000,000, and the population is increasing 6 percent every year
a) using standard function notation , next = nowx1.06, starting at 1,000,000 use p to denote current population, r for the rate of population growth, and t for the number of years explain answer
b)is the function you wrote in the previous task recursive or non recursive?
c)compare the benefits of representing a situation using a recursive function versus using a regular function

Answers

Answer:

a) [tex]1,000,000 \times (1.06)^{t}[/tex]

b) The function is recursive

c) The benefits includes;

1) Simplification of information

2) Faster data access

3) Lesser storage requirement

4) Good for forecasting

5) Simplifies information analysis.

Step-by-step explanation:

The given information are;

The current population = 1,000,000

The rate of increase of the population = 6%

a) With the standard function notation is [tex]P_f[/tex]  = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]

Where;

[tex]P_f[/tex] = Future population

[tex]P_p[/tex] = Present population

r = Rate of population increase

t = The number of years

Therefore, we have;

[tex]P_f[/tex]  = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]

The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t

b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population

c)  The benefits includes;

1) Simplification of the relationship of a given data with time

2) Provides a more faster way to access data that is recursive than using complex regular function with more variables

3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function

4) Provides improved forecasting

5) Enables detailed information analysis.

An infinite geometric series converges if the common ratio is

Answers

An infinite series that is geometric. An infinite geometric series converges if its common ratio r satisfies –1 < r < 1. Otherwise it diverges.

Answer:

a proper fraction

The surface area of a solid is 10 square feet. The dimensions of a similar solid are
three times as great as the first. The surface area of the new solid in square feet
is...
PLEASE urgent

Answers

Answer:

90 ft²

Step-by-step explanation:

Given the sides of similar figures in the ratio a : b, then

ratio of areas = a² : b²

Here ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the surface area of the new solid is 9 times the first

SA = 9 × 10 = 90 ft²

The total surface area of the new solid in square feet is 90 square feet

Let the solid be a cube.

The surface area of a cube = 6L²

L is the length o the cube;

If the surface area of a solid is 10 square feet, then;

10 = 6L²

L² = 10/6

L = √10/6

If the dimensions of a similar solid are  three times as great as the first, then;

New length Ln = 3√10/6

Total surface area of the new solid = 6Ln²

Total surface area of the new solid = 6(3√10/6)²

Total surface area of the new solid = 6(9*10/6)

Total surface area of the new solid = 6(90/6)

Total surface area of the new solid = 90 square feet

This shows that the total surface area of the new solid in square feet is 90 square feet

Learn more here: https://brainly.com/question/23756628

Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution

Answers

Answer:

x = 3 and x = -3

Step-by-step explanation:

/x/ - 8 = -5

Add 8 to both sides

/x/ -8 + 8 = -5 +8

/x/ = 3

/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3

In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?

Answers

Answer:

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

Step-by-step explanation:

Sample Mean = μ1 = $806

Sample Mean = μ2 = $ 781

Standard Deviation= S= σ =39.13

n= 32

Confidence Interval = 95 %

α= 0.05

z∝=± 1.96

We state the null and alternative hypotheses as

H0: μ1 = $806  and Ha: μ1 ≠ $806  two sided tail test

z= μ1 -μ2/σ/√n

z= 806-781/ 39.13/√32

z= 806-781/ 39.13/5.6568

z=806-781/ 6.92

z= 25/6.92

z= 3.613

Z> z∝

3.613 > ± 1.96

No there is not  enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330

Answers

Yes a triangle is formed with given measurements
By using Heron’s formula
S=a+b+c/2
S=240+132+330/2=351
Area = root of s(s-a)(s-b)(s-c)
By substituting the values
We get that 13385.874....

If approximately 10% of people are left-handed, how many lefties would you expect in a high school graduating class of 424​

Answers

Answer:

42

Step-by-step explanation:

P(left) = 0.10

Expected number of lefties among high school grads of 424

= 424 * 0.10

= 42 (to the nearest person)

Answer:

you do 20% of 424

1 0% of 424 =42.4

you could round it to 42

How many times larger is 5 × 106 than 5 × 102?

PLEASE HELP !

Answers

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

plz mark me as the Brainleist plz

A bicycle is on sale price for $300 it can be brought through a hire purchase with a deposit of $60 and 10%
interest the outstanding balance, to prepaid in 10 monthly installments calculate:
a)the amount of each monthly instalment
b)the total cost of buying the bicycle by hire purchase

Answers

Answer:

a) $26.4

b) $324

Step-by-step explanation:

Hire purchase is the purchase of an item which can be paid instalmentally.

The bicycle costs $300 for an instant purchase.

For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance

The outstanding balance after paying deposit= $300 - $60 = $240

Hence, 10% of 240 = 10/100 × 240 = 24

An interest of $24 is added.

Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.

a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4

b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price

= $60 + $264

= $324

Hence, a total of $324 will be paid for the bicycle by hire purchase.

N.B: $300 is the sale price + $24 interest

The canvas of a painting has an area of 64 ft2. What length of frame is needed for the border of the painting?

Answers

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

Which expressions are equivalent to -6n+(-12)+4n−6n+(−12)+4nminus, 6, n, plus, left parenthesis, minus, 12, right parenthesis, plus, 4, n ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 4(n-3) -6n4(n−3)−6n4, left parenthesis, n, minus, 3, right parenthesis, minus, 6, n (Choice B) B 2(2n-6)2(2n−6)2, left parenthesis, 2, n, minus, 6, right parenthesis (Choice C) C None of the above

Answers

Answer:

The correct option is;

Choice A 4·(n - 3) - 6·n

Step-by-step explanation:

The given expression is

Which gives;-6·n+(-12)+4·n

- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)

The options given are Choice A and/or Choice B;

(Choice A) 4·(n - 3) - 6·n

Which can be simplified as follows;

4·(n - 3) - 6·n = 4·n - 12 - 6·n

Which gives;

4·n - 12 - 6·n = 4·n  - 6·n- 12 = -2·n - 12 = -(2·n + 12)

Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n

For choice B, we have;

2·(2·n - 6) which gives;

2·(2·n - 6) = 4·n - 12

Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n

Which gives the correct option as Choice A.

4(n-3)-6n

Khan academy I got this right

Pls answer the 9th question...plsss fast

Answers

Answer:

i) x = 65°       ii)  x = 60°     iii)  x = 34°

  y = 50°           y = 80°           y = 124°

Step-by-step explanation:

i) x = 180-115= 65°

  y = 65+65= 130

     =  180-130= 50°  

ii) x = 90+30= 120

         180-120= 60°

   y = 60+20= 80

         180-80 = 100

         180-100= 80°

iii) y = 34+90= 124

    x = 180-124= 56

           56+90= 146

           180-146= 34°

I hope this helped, mark me brainliest please :)

Use the cubic model y = 10x3 − 12x to find the value of y when x = 9.

Answers

Answer:

7182

Step-by-step explanation:

All you shoud do is to replace x by 9

● y = 10 * 9^3 -12*9

● y = 7182

A researcher wants to obtain a sample of 30 preschool children consisting of 10 two-year-old children, 10 three-year-old, and 10 four-year-old children. Assuming that the children are obtained only from local daycare centers, this researcher should use ____ sampling.` Cluster probability quota simple random stratified random

Answers

Answer:

Quota Sampling

Step-by-step explanation:

Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.

In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling.  These subgroups would give a proper representation of the preschool children in local daycare centers.

At the toy store, you could get 4 board games for $25.84. Online, the price for 5 board games is $32.15. Which place has the highest price for a board game?

Answers

Answer:

The board game store

Step-by-step explanation:

Just divide the store price by 4 and online by 5

Answer:

Toy store

Step-by-step explanation:

Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.

price/board games

Toy Store

price/board games

The toy store sells 4 board games for $25.84

$25.84 / 4 board games

25.84/5

6.46

Online Store

price/ board games

The online store sells 5 board games for $32.15

$32.15 / 5 board games

32.15/5

6.43

At the toy store, a board game costs $6.46. Online, it costs $6.43.

6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.

Which of the following statements is true about the relation represented in the table? The data in the table is linear. The data in the table is nonlinear.

Answers

Answer:

Sacramento

Step-by-step explanation:

S 11+9+14+12+8=54

SF 11+8+8+9+12=48

The statement that is true about the information in the table is that the data is non-linear.

Which statement is true about the given table?

The easier way to study the table is by graphing it. Here we have the points:

(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).

The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.

So the correct option is non-linear.

If you want to learn more about tables, you can read:

https://brainly.com/question/7301139

Find the angle of rotation about the center of the regular pentagon that maps A to D.

Answers

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon

Answers

Answer: D. regular hexagon

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?

Answers

Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

look at the picture find the value of z

Answers

Answer:

Z=7.9

Step-by-step explanation:

20.4 + 20.4 = 40.8  

56.6 - 40.8 = 15.8

15.8/2 = 7.9

Answer:

z=7.9 cm

Step-by-step explanation:

So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.

z=7.9 cm

Help me with these 2 questions please

Answers

Answer:

1st one= B 25 cents

2nd one= D 2 miles

Step-by-step explanation:

1.

8x3=24

6/24=25

= 25 cents

2.

1.6 km= 1 mile

so 1/2 of a mile =

0.8 km

1/4 of an hour = 15 minutes

0.8km= 15 minutes

15x3= 45  minutes

0.8km x 3= 2.4km

2.4km = 2 miles

hope it helps hunney xx

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Is your prediction supported by the membrane potential chart? Which of the following quotes from the novel supports the idea that the soldiers feel like they aren't getting a lot of official information from the military? a. "Most of what we learned was from the television news." b. "CENTCOM is trying to figure out what happened to the 507th." c. "The sergeant repeated what Ahmed said into his radio." d. "We weren't at the front of the action and I was glad of that." A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4/7 radians? Express the answer in terms of . A 5.00-kg object is hung from the bottom end of a vertical spring fastened to an overhead beam. The object is set into vertical oscillations having a period of 1.60 s. Find the force constant of the spring. BP measuring machine is an example of __________ A)Computing deviceB)Medical device C)Embedded machine D)None of these Question 1 of 10What is a neutronA. A particle inside the nucleus that has no chargeB. A positive particle inside the nucleusO C. A negative particle outside the nucleusO D. A negative particle inside the nucleus how did countries prepare their militaries for world war 1 ? A 30 year $1,000 par 4 3/4% Treasury Bond is quoted at 95-11 - 95-15. The note pays interest on Jan 1st and Jul 1st. A customer buys 1 bond at the ask price. What is the current yield, disregarding commissions Please answer this in two minutes An insured's disability income policy includes an additional monthly benefit rider. For how many years can the insured expect to receive payment from the insurer before Social Security benefits begin? find the value of b here define developed country Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4 + 6 x + 3 6 x squared minus 6 x + 6 minus x squared + 10 x minus 7 The two expressions are not equivalent because when x = 2, the two expressions do not have the same value. The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for the x squared and x terms. They are equivalent because the sum of the constants is the same in both expressions. They are equivalent because when x = 2, the two expressions have the same value. Psychology 1A HELPPPP QUESTION: Which of the following is a daily hassle, a significant/major life event, a catastrophe--in that order? ANSWERS: Group of answer choices Birth of a baby; home destroyed by fire; getting a parking ticket. Getting a parking ticket; birth of a baby; home destroyed by fire. Home destroyed by fire; getting a parking ticket; birth of a baby. All are catastrophes. "Whenever Andrew considers upgrading his personal computer system, he consults with Jeremy, a knowledgeable friend who always has the newest technology. For Andrew, Jeremy is a(n) __________ in the diffusion of innovation curve." Given the unity feedback system G(s)= K(s+4)/s(s+1.2)(s+2) Find:a. The range of K that keeps the system stableb. The value of K that makes the system oscillatec. The frequency of oscillation when K is set to the value that makes the system oscillate Describe how to remove sutures 1. (LC)Read the following sentence and answer the question that follows:The ancient Greeks developed the concept of participatory democracy, but they also practiced slavery, denied political rights to women, andWhich phrase best completes the sentence above? (5 points)O wars of conquestO waged wars of conquestO were waging wars of conquestO were a people who waged wars of conquest (20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richies brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers? Find the measure of b.