Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀
= 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
1st term = -10
2nd term = -6
3rd term = -2
4th term = 2
5th term = 6
6th term = 10
7th term = 14
The reason how I got 14 for the 7th term is because, i added 4 to each term.
Hope this helps!
Answer:
Table shown below
Step-by-step explanation:
Table shown below
To solve this problem let's use proportions.
If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price
For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.
Simplifying the fraction, we get 1/3 or 0.33 pounds
Answer:
0
Step-by-step explanation:
Let us take sin(60 degree + theta) =x
Substituting x in equation
=> x-x
=> 0
I believe the answer would be D. Because, 10*12= 120 and 400/120= 3.33
Since you are talking about money, you would round up.
Meaning that the answer should be D.
