There are 18 terms are in her series
<h3>What is Arithmetic progression series?</h3>
Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any two consecutive numbers is a constant value.
Given that: t(n) = −9 + 21n=l
a= 12, Sum = 3429
As, Sum of series =3429
n/2 (a+l) =3429
n/2 (12 +21n-9)= 3429
n/2 (3+21n)=3429
21n² + 3n= 6858
21n² + 3n- 6858=0
7n² + n- 2286=0
For solving for n, get
n= 18 or n= -127/7
Thus, there 18 terms in the series.
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Look this up on photomath and it was come up !!
Answer:
284/3 πx³
Step-by-step explanation:
Volume of a cylinder is expressed as shown:
V = πr²h
r is the radius of the cylinder
r = diameter/2
r = 8x/2
r = 4x
Height of the cylinder = 6x
Volume of the roll with out the hole
V = π(4x)²(6x)
V = 16x²π(6x)
V = 96πx³
The hole in the middle will be a solid sphere with diameter 2x (radius will be x)
Volume of the hole = 4/3πr³
Volume if the hole = 4/3πx³
Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole
= 96πx³ - 4/3πx³
= (96-4/3)πx³
= 284/3 πx³
Answer:
217/60 miles
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Please, use " ^ " to denote exponentiation: g(x) = 4(x - 2)^2 - 4
The vertex is located at (2, -4) which numbers come directly from the '2' in (x - 2) and the "-4" at the end of the equation.
Where is the function f(x) that you mentioned?
The axis of symmetry here is the vertical line that passes through the vertex. Its equation is x = 10.