Answer:
Answer is $800 assuming that no tax is being applied
Answer:
64 because they are vertical angles
The law of an object moving with constant acceleration is
Where 
is space, 
is time, 
is the initial position, 
is the initial velocity and 
is the acceleration.
In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).
So, its law is
(I changed for 
since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).
The rocket hits the ground if its height is zero, so if we set 
we have
Solving for t, we have either t=0, or
The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have
Volume of a rectangular prism is length * width * height.
The figure can be broken into 3 different prisms. Left to right, I'd label them 1st tower, connecting base, 2nd tower.
I'll do the 2nd tower first since it has the most measurements. 5 * 5 * 12 = 25 * 12 = 300
The first and second towers are congruent so they have the same measurements; we just do 300 + 300 to find their volumes. It's 600.
Now, to find the connecting piece. The whole bottom length of this "U" shaped figure is 18 but the two towers have lengths of 5. To find the base of the portion we're looking for, we do 18 - 2(5) = 18 - 10 = 8. To find the height, we take away the top part of the second tower (7 m) from the whole height (12 m). 12 - 7 = 5. The width is given by the towers so we have what we need to solve.
8 * 5 * 5 = 40 * 5 = 200
Now add the volumes all together.
600 + 200 = 800
The figure has a volume of 800 cubic meters or 800 m³.
Answer:
Option 4: 4¹¹
Step-by-step explanation:
Looking at the problem, I need to work out 4⁴ squared first, which is the same as 4⁸. Then multiply that by 4³ to get 4¹¹. What I did was simply add 3 + (4 * 2), which is 11.
