Answer:
r = 2
Step-by-step explanation:
nth term of a geometric sequence = 
.
Where,
a = first term, r = common ratio,
We are given that, the 11th term is 32 times larger than the 6th term of the geometric sequence. Thus:
the 6th term can be expressed as 
The 11th term is expressed as 
Since the 11th term is 32 times larger than the 6th term, therefore, the following equation can be derived to find the common ratio, r, of the sequence:
, therefore:
Divide both sides by ar⁵
Common ratio = 2
Answer:
20000000000
Step-by-step explanation:
3 yards . To do d the area you must multiply. We already know its 12 square yards. We need to multiply 4 with 3 because that's what gets is to 12. The width of the rug is 3 yards.
Answer:
- KEi = 2.256×10^5 J
- KEf = 9.023×10^5 J
- 4 times as much work
Step-by-step explanation:
The kinetic energy for a given mass and velocity is ...
KE = (1/2)mv^2 . . . . . m is mass
At its initial speed, the kinetic energy of the car is ...
KEi = (1/2)(810 kg)(23.6 m/s)^2 ≈ 2.256×10^5 J . . . . . m is meters
At its final speed, the kinetic energy of the car is ...
KEf = (1/2)(810 kg)(47.2 m/s)^2 ≈ 9.023×10^5 J
The ratio of final to initial kinetic energy is ...
(9.023×10^5)/(2.256×10^5) = 4
4 times as much work must be done to stop the car.
_____
You know this without computing the kinetic energy. KE is proportional to the square of speed, so when the speed doubles, the KE is multiplied by 2^2 = 4.
Answer:
17253.52
Step-by-step explanation:
100-9.5=90.5
19064.67*0.905=17253.52
