Given parameters:
First term of the sequence = x
Second term = x + 2
Third term = x + 4
Sum of the first three terms = 72
Unknown:
First term of the sequence = ?
Solution:
The sum of the first three terms is unknown;
(x) + (x + 2) + (x + 4) = 72
Solve for x;
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6
3x = 66
x =
= 22
The first term of the sequence is 22
Answer:
x= 5.55 and 0.45
Step-by-step explanation:
Quadratic Equation = (-b±√b²-4(a)(c))÷2(a)
Get equation = to 0 by subtracting the 3 on the right side of the = sign
2x² - 12x + 5
Identify the variables
a=2
b=-12
c=5
Put them into the quadratic equation
(-(-12)± √-12² - 4(2)(5))÷2(2)
Simplify
(12 ±√144 - 40)÷4
(12±√104)÷4
Now split into 2 equations (one with addition one with subtraction) because of the ± then continue simplifying
(12 - √104)÷4 (12 + √104)÷4
(12 - 10.198039)/4 (12 + 10.198039)/4
5.54950975 0.45049025
Round
5.55 0.45
Step-by-step explanation:
a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°
Answer:
A
Step-by-step explanation:
FV=PV(1+i)^t
2500(1+.03)^4
A
The probability for the die is 1/6, the coin is 1/2.