First, we find the volume of the pool.
3.8*5.5*1.2= 25.08.
Then we convert the feet into gallons.
25.08*7.5 = 188.1
The pool will hold 188.1 gallons of water.
Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂
Let's use 8 days as the maximum time we are going to be renting the car.
Putting that into the equation means, 500$ for Harry's Rentals and Smilin' Sam's at $600.
Therefore, Happy Harry's Rentals are better for the 7th and 8th days while Smiling Sam's are the better from day's 1 to 6.
Work:
500$ is a fixed value so it doesn't change (constant)
200 + 50x
x = days
8 days = 8x
200 + 50(8)
200 + 400 = 600
Answer:
B. AD = sqrt(CD * BD)
Step-by-step explanation:
By the right triangle altitude theorem,
CD/AD = AD/BD
AD^2 = CD * BD
AD = sqrt(CD * BD)
Answer: B. AD = sqrt(CD * BD)
Answer:
75% students read less than 35 pages.
Step-by-step explanation:
The stem and leaf plot is given below
0 | 5 0 5 8
1 | 2 3 5 8 8 9
2 | 2 4 6 7 7 7
3 | 3 5 6
4 | 2 4 6
5 | 7
Count the students in each row.
Row 1 = 4 students
Row 2 = 6 students
Row 3 = 6 students
Row 4 = 3 students
Row 5 = 3 students
Row 6 = 1 student
Total students = 23 students
75% of 23 students = 0.75/100 · 23 = 12.25 students
75% of 23 students ≅ 17 students
From the stem and leaf plot, 17th student read 33 pages while 18th student reads 35 pages.
Which means
75% students read less than or equal to 33 pages.
OR
75% students read less than 35 pages
