Answer:
A point (a, b) rotated around a point (x, y) 180 degrees will transform to point (-(a - x) + x, -(b - y) + y). A point (a, b) rotated around the origin 270 degrees will transform to point (b - y + x, -(a - x) + y).
Step-by-step explanation:
Answer:
4^7
Step-by-step explanation:
4 * 4 * 4 * 4 = 256
4 * 4 * 4 = 64
Since the number is the same, another way to write the expression is 4^7.
256 * 64 = 16,384
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Answer:
decrease of 1.153 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
5p+5x+3px=71
Find:-
Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day
Solution:-
- Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 3px ). Since both "p" and "x" are only functions of time "t":
d/dt (5p+5x+3px=71)
5*dp/dt + 5*dx/dt + 3* ( x*dp/dt + p*dx/dt) = 0
- Use the given values x=3, p=4, and dp/dt=1.4 to determine dx/dt:
5*1.4 + 5*dx/dt + 3*3*1.4 + 3*4*dx/dt = 0
17dx/dt = -19.6
dx/dt = -1.153 sales per day
- There is a decrease of 1.153 sales per day.
Answer:
D. Sphere
Because a sphere is a 3D ball and an orange is a type of ball
