Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Sent a picture of the solution to the problem (s).
Answer:
h(-8)=-15
Step-by-step explanation:
Substitute t=-8
h(-8) =-2(-8+5)^2+3
=-2(-3)^2+3
=-2(9)+3
=-18+3
=-15
<u>Answer:</u> False
<u>Explanation / Counterexample:</u> Two lines in a 3-dimensional space can lie in two different planes.
Answer:

Step-by-step explanation:
Density is the ratio of an object's mass to its volume, and it measures how compact an object is. The density of an object, p, is directly proportional to its mass, m, and inversely proportional to its volume, V:
