Answer:
10a + 7
Step-by-step explanation:
This problem is asking you to plug in 2a + 3 for x.
g(x) = 5x - 8
g(2a + 3) = 5(2a + 3) - 8 = 10a + 15 - 8 = 10a + 7
Answer:
Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be 
of the circle's length (circumference).
The circumference of a circle is given by 
, where 
is the radius of the circle. Therefore, the circumference of the circle is 
. As we found earlier, the length of the arc is 
of this circumference. Therefore, the arc's length is 
.
To the nearest integer, this is 
.
Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6
Step-by-step explanation:
Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1
A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!
a) 0 and 0.01 = The event is impossible, it would never occur.
b) 0.99 and 1 - The event is certain, it would always occur.
c) 0.3 - The event is highly unlikely, but it will occur once in a while.
d) 0.6 - The event will occur more often than not.
Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45
Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239
Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102
Solving for y,
y = -2(102) + 239
y = 35
Solving for z,
z = 102 - 45
z = 57
Answer:
13
Step-by-step explanation: 325/25=13
