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.
Answer:
1.5326
Step-by-step explanation:
there is no more simplification it can only be calculated by a calculator
Answer:
price = x * 0.2
or
price = x * 0.454 * 0.2
Step-by-step explanation:
In this case we must know either the mass of the cake or its volume.
Given the case that we know the mass of the cake, it would be:
price = x * 0.2
where x is the mass of the cake in ounces, that is to say if for example a cake has a mass of 10 ounces, it would be:
price = 10 * 0.2 = 2
which means that each cake costs $ 2
Given the case of the volume, we must first multiply the density by this volume in order to calculate the mass and finally the price.
price = x * 0.454 * 0.2
where x is the volume of the cake in cubic inches, if for example the volume is 10 cubic inches it would be:
price = 10 * 0.454 * 0.2 = 0.908
which means that each cake costs $ 0.9
Answer:
Step-by-step explanation:
12/(x+2) = 4/(x-2)
Cross-multiply to get:
12x-24 = 4x+8
8x = 32
x = 4
2x - 3 < 11 or 8x -10 < 82: <span>X < 23/2
<span>
Part 1</span>
</span>2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2 / 14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8 / 92 / 8
Refine
x < 23 / 2
