Answer: The 25th term of the sequence is 75
Step-by-step explanation:
The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.
Tn = a + (n-1)d
Tn = The value of the nth term of the arithmetic sequence.
a = first term of the sequence.
d = common difference (difference between a term and the consecutive term behind it)
n = number of terms in the sequence.
From the information given,
a = 3
d = 5-3 = 7-5 = 2
We want to look for the 25th term, T25
So n = 25
T25 = 3 + (25-1)2 = 3+ 24×2
T25 = 3 + 72 = 75
Consider the quadratic function 
and the linear function g(x) defined as



Answer:

Step-by-step explanation:
A line is a one-dimensional figure that has no thickness and extends infinitely in both directions.
A line segment is a line that has two end-points and a ray is a line that has one end-point.
Given equation is 
To find : a line that lies entirely in the set defined by the given equation.
Solution:
Take 
Check:

Therefore,
satisfy the given equation.
Answer:
The central angle is within the range π to 3π/2
Step-by-step explanation:
To convert from degrees to radians, we multiply the angle in degrees by 180/π.
To convert from radians to degree, we multiply the angle in radians by 180°/π.
π/2 = π/2 X 180°/π= 90°
π rad = π X 180°/π= 180°
3π/2 = 3π/2 X 180°/π= 270°
2π = 2π X 180°/π= 360°
Therefore the angle 250 which is between 180 and 270 is within the range :
π to 3π/2
Answer:
Costo final= $412.38
Step-by-step explanation:
Dada la siguiente información:
Costo inicial= $355.5
Recargo de la tarjeta= 16% = 0.16
<u>Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:</u>
Costo final= costo inicial*(1 + recargo)
Costo final= 355.5*1.16
Costo final= $412.38