The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
Answer:
1 hour and 15 minutes.
Step-by-step explanation:
Average Hiking Speed is generally between 1 MPH to 3 MPH depending on how much hill (vertical gain) is involved, amoung other factors. Based on the plan you entered above TrailsNH estimates your average hiking speed to be closer to 1.5 MPH, or 3h 23m of moving time for a 5 mile hike up 2000 vertical feet of elevation gain. Compare that with Naismith's Rule which says your average hiking moving time is around 2h 36m.
I calculate Your Estimated Hiking Time by taking Naismith's Rule and applying an adjustment to match your plan. The adjustment (currently calculated as +30%) uses a sliding scale to add or subtract the effort involved. Your plan is currently set as: pace = Normal, treadway = Rough, and pack weight = Regular.
Naismith's Rule estimates hiking time on reasonably easy ground based on 19½ minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. For example: A 2 mile hike over a 500 foot hill, Naismith's Rule estimates will take 52 minutes. That is a pace of 26 minutes per mile, or an Average Hiking Speed of 2.3 miles per hour.
Book Time estimates hiking time in the mountains based on 30 minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. This is the estimate commonly used in guide books. For example: A 2 mile hike over a 500 foot hill, Book Time estimates will take 1 hour and 15 minutes. That is a pace of 37 minutes per mile, or an Average Hiking Speed of 1.6 miles per hour.
2x - 15
15 is decreased that is the key word here which indicates subtraction.
twice a number with given variable x is 2x
subtraction always goes behind so 2x - 15
Answer:
The table C correctly shows the ratio 8:1 for each grade
Step-by-step explanation:
Let
x ----> the number of students
y ----> the number of adults
we know that
<u><em>Verify each table</em></u>
Table A
grade 6
Multiply in cross
----> is not true
Table B
grade 6
Multiply in cross
----> is not true
Table C
<u><em>grade 6</em></u>
\frac{96}{12}=\frac{8}{1}
Multiply in cross
----> is true
<u><em>grade 7</em></u>
Multiply in cross
----> is true
<u><em>grade 8</em></u>
\frac{136}{17}=\frac{8}{1}
Multiply in cross
----> is true
therefore
The table C correctly shows the ratio 8:1 for each grade
Table D
<u><em>grade 6</em></u>
Multiply in cross
----> is not true
30 60 90 triangles have a peculiar theorem to them. That’s why they’re known as special right triangles, and they’re super easy to solve. For whatever the length of the shortest side is, which we’ll call Z in this case, the length of the hypotenuse is always 2*Z, and the length of the adjacent side is always Z * sqrt3. In the context of this problem, that means that y = 16 and x = 8sqrt3.