It took him 1 hour and 30 mins .
He needs to go 15 miles. It takes him 1 hour to get 10 miles. After 1 hour has passed he still needs 5 more miles to go. 5 miles is half of 10 so half of 1 hour is 30 mins. 1 hour + 30 mins is 1 hour and 30 mins. (It took him 1 hour 30 mins)
Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
Answer: 
Step-by-step explanation:
Let we consider sales of home in January as first term for sequence, then sales in February will be 2nd term and so on.
According to the given information, we have
First term : 
Second term :
Third term : 
We can see that, Common difference = 7
Explicit rule for Arithmetic sequence :

Put
and d=7

The required explicit rule that can be used to find the number of homes sold in the nth month of the year : 
These districts are best characterized as Proportional Representation districts.
What is Proportional Representation?
There are numerous types of proportional representation systems, but they all have two things in common. They start by using districts with multiple members.
Proportional Representation, abbreviated as PR, uses significantly bigger districts that elect multiple members at once, such as five or ten, rather than electing one member of the legislature in each local district. Second, the percentage of votes a party receives in these districts with several members determines which candidates gain the seats.
The Proportional Representation system of America overcomes the wide ranging drawbacks of single-district voting system like not representing the large number of voters, discrimination against third parties, etc.
Learn more about Proportional Representation here:
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Answer:
b
Step-by-step explanation: