Answer:
A: 
Step-by-step explanation:
In this case it can be seen that the x values are being affected by this transformation. This means that we should look for points on f and g with the same y value but different x values. However in this case it is hard to pinpoint easy coordinates to work with. This is where process of elimination can help. We know it cant be B or C because if the dilation ratio is outside the function, the y values would be affected. That leaves it to A or D. We can see that g has shrunk from the original function. Shrinking along the x-values can be notated by the reciprocal of the factor of shrinking. In this case it looks like it shrunk down to half of the originals size. If we take the reciprocal of a half we get 2. Therefore if we plug that in we get:
Well, the keyword here is One of the performers insist on being the last.
So, the amount of performers that we can arrange freely is 7 performers.
Different ways we can schedule their appearance is :
7 ! = 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5040
hope this helps
Answer:
54 lbs.
Step-by-step explanation:
7 x 6 = 42
3 x 4 = 12
42+12=54
The following is an expression.
Find m∠BOC, if m∠MOP = 110°.
Answer:
m∠BOC= 40 degrees
Step-by-step explanation:
A diagram has been drawn and attached below.
- OM bisects AOB into angles x and x respectively
- ON bisects ∠BOC into angles y and y respectively
- OP bisects ∠COD into angles z and z respectively.
Since ∠AOD is a straight line
x+x+y+y+z+z=180 degrees
We are given that:
m∠MOP = 110°.
From the diagram
∠MOP=x+2y+z
Therefore:
x+2y+z=110°.
Solving simultaneously by subtraction
x+2y+z=110°.
We obtain:
x+z=70°
Since we are required to find ∠BOC
∠BOC=2y
Therefore from x+2y+z=110° (since x+z=70°)
70+2y=110
2y=110-70
2y=40
Therefore:
m∠BOC= 40 degrees
