Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
Dude, it's impossible to solve without the pic
First I'd expand the brackets so that you can re-simplify the values, so:
(2x + 3)(3x + 4)
6x^2 + 9x + 8x + 12
6x^2 + 17x + 12
The answer A. 2x(3x + 4) + 3(3x + 4) can be simplified the same way, with 6x^2 + 8x + 9x + 12, and so the answer is A. I hope this helps!
Answer:
A). The distance covered= 5.2752 cm
B). Angle swept = 36°
C). The time = 8:45 am
Step-by-step explanation:
The watch is assumed to be a circle while the minute hand is assumed to be the radius
Radius = 1.4cm
A). From 8:13 to 8:49= 36 minutes
Recall, there is 60 minutes in a round watch.
The distance covered= 2πr*36/60
The distance covered= 2*3.14*1.4*0.6
The distance covered= 5.2752 cm
B). If distance covered is 8.8 mm
8.8 mm = 0.88cm
0.88= 2*3.14*1.4*(x/360)
0.88/(8.792)=x/360
0.1= x/360
0.1= x/360
36°= x
Angle swept = 36°
C). The time it will be if the watch started from 8:39 am and moved 36°
36/360= y/60
0.1= y/60
0.1*60= y
6 minutes= y
The time with be 8:39+6 minutes
The time = 8:45 am
Answer:
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95 percent confidence interval (20.1,23.9)
We are 95% sure that the population mean(that is, the mean for all children in the program) is in this interval. So the correct answer is given by option D.
