A construction project is broken down into the following 10 activities: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS)
1 — 4
2 1 2
3 1 4
4 1 3
5 2, 3 5
6 3 6
7 4 2
8 5 3
9 6, 7 5
10 8, 9 7
b-1. Find the critical path.
1-3-5-8-10
1-2-5-8-10
1-3-6-9-10
1-4-7-9-10
b-2. How many weeks will the project take to complete?
c. If activities 1 and 10 cannot be shortened, but activities 2 through 9 can be shortened to a minimum of one week each at a cost of $10,000 per week, which of the following options would reduce the project duration by four weeks? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
Cut activity 3 by 3 weeks, and then reduce activity 6 or 9 by one week. unanswered
Cut activity 5 by 4 weeks. unanswered
Reduce activities 6 and 9 by a total of 3 weeks, and then reduce activity 3 by one week. unanswered
Cut activity 4 by 3 weeks, and then reduce activity 6 or 5 by one week. unanswered
Cut activity 5 by 3 weeks, and then reduce activity 4 or 9 by one week.

triangle and cube

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

the speed is   miles per hour > is false

step-by-step explanation:

we know that  

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

for the point

substitute the values of x and y

the linear equation is equal to

statements

case a) it takes hours to go miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

case b) the speed is   miles per hour

the statement is false

because the speed is

case c) the unit rate for the trip is

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took minutes to go the first miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct