Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer:
on the left side 18
and the right side the one next to 3 is 0 and the one next to 24 is 8
Step-by-step explanation:
Answer:
-12.8%
Step-by-step explanation:
To calculate the percent decrease, we:
- Find the difference between the new value and the original
- Divide the number by the original
- Multiply by 100 and the % symbol.
The population of the town originally had 25,000. 3,200 people moved away. This means that the new population is 21,800.
- 21,800-25,000=-3,200
- -3,200/25,000=-0.128
- -0.128(100)=-12.8%
The towns population decreased by 12.8%.
Answer:
entre dos número positivos es "mayor" el que tiene mayor valor absoluto.