Answer: $200.
Step-by-step explanation: one tenth is just 1÷10, which is .1. Multiplying $2000 by .1 answers to $200.
Answer:
The output is 5
Step-by-step explanation:
-4 is the input (x value). To find the output, you have to find where -4 is on the line. -4 is on the line when 5 is the y coordinate (output).
Answer:
Approximately 
.
Step-by-step explanation:
The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.
Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: 
.
Apply the power rule to find the first derivative of this 
with respect to time 
.
By the power rule:
- the first derivative of (same as
- the first derivative of
(same as to the second power) with respect to
Therefore:
![\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7Bdy%7D%7Bd%20t%7D%20%26%3D%20%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%5B62%20%5C%2C%20t%20-%201.86%5C%2C%20t%5E2%5Cright%5D%20%5C%5C%20%26%3D%2062%5C%2C%5Cleft%28%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%5Bt%5Cright%5D%5Cright%29%20-%201.86%5C%2C%20%5Cleft%28%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%5Bt%5E2%5Cright%5D%5Cright%29%20%5C%5C%20%26%3D%2062%20%5Ctimes%201%20-%201.86%5Ctimes%5Cleft%282%5C%2C%20t%29%20%3D%2062%20-%203.72%5C%2C%20t%5Cend%7Baligned%7D)
.
In other words, the (vertical) velocity of this arrow at time would be 
meters per second.
Evaluate this expression for 
to find the (vertical) velocity of this arrow at that moment: 
.
Answer:
B
Step-by-step explanation:
To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)
2x + 3y = -12
2(0) + 3y = -12 (Plug in x=0)
3y = -12 (2*0=0, so you can ignore that part)
y = -4 (Divide both sides by 3)
This narrows down our choices to either A or B.
To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)
2x + 3y = -12
2x + 3(0) = -12 (Plug in y=0)
2x = -12 (3*0=0, so you can ignore that part)
x = -6 (Divide both sides by 2)
If our x intercept is -6 and our y intercept is -4, that makes our answer B.
