Answer:
6.
Step-by-step explanation:
Answer:
8
miles or 25.133 miles
Step-by-step explanation:
your radius is 4 miles.
The area of a circle is A= 
Therefore, the area of this circle is 
, or 16
Half of this area, because what you're looking for is a semi-circle, is:
8 (exact) or 25.133 (rounded) miles.
The value of the composite function (f - g)(x) is 5x - 25
<h3>How to determine the function (f - g)(x)?</h3>
The function definitions are given as:
f(x) = 15x + 25
g(x) = 10x + 50
The function (f - g)(x) is calculated using
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = 15x + 25 - 10x - 50
Evaluate the like terms
(f - g)(x) = 5x - 25
Hence, the value of the composite function (f - g)(x) is 5x - 25
Read more about composite function at
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<u>Complete question</u>
Cynthia was offered two different jobs for the summer. working as a camp counselor, she will earn $15 per hour plus an additional $25 bonus. her earnings after x hours can be represented by the function f(x) = 15x + 25. working as a lifeguard, Cynthia will earn $10 per hour and an additional $50 bonus. her earnings after x hours can be represented by the function g(x) = 10x + 50. the arithmetic operation (f - g)x can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours. what is the function (f - g)x?
Answer:
1) Event A = 2/3
Event B = 1/2
2) 1/2
Step-by-step explanation:
1)
Event A :
No. we need on dice = 4
Total numbers on dice = 6
Hence sample space of the event = 6
P( getting 4) = 4/6 = 2/3
Event B :
A coin has a head & a tail.
Hence sample space of the event = 2
But as we need tail only ,
P ( getting Tail ) = 1/2 [ if only tossed once ]
2)
Total numbers on a die = 6
Total no. of odd numbers on die = 3 (∵ 1 , 3 & 5 are odd )
Sample space of this event = 6
P (getting an odd number) = 3/6 = 1/2
G(x) = 3x + 1, evaluate g(-2).
Simply plug in (- 3) in g(x)
g(-2) = 3(-2) + 1
g(-2) = - 6 +1
g(-2) = - 5
