Answer:
x = 70.53 degrees
Step-by-step explanation:
equation:
cos-1 = 
⇒ cos-1 x = 
⇒ cos-1 x = 0.33
⇒ x = 70.528
round to the nearest tenth:
⇒ 70.53
Answer: 7,833
Step-by-step explanation:
First you'll need to get the same denominator. So instead of 3/5 and 3/8 you'll have 24/40 and 15/40. Now that we've changed the value of the denominator, the 40/40 will now represents the 1 hour that Jenny has before bedtime. So you add 24/40 and 15/40 and get 39/40. 39/40 stands for the time that Jenny has already spent brushing her teeth and texting her friend all together. Since the 1 hour is 40/40 subtract 39/40 from it to get 1/40. 1/40 is equal to the rest of the time Jenny spends reading or 1.5 minutes.
This is the concept of sequences and series. To solve the question we proceed as follows:
2] T=-4n-3
to get the 11th term we substitute n=11 in the expression and simplify. Thus, plugging in n=11 we obtain:
T=-4(11)-3
T=-44-3
T=-47
thus the 11th term is -47
3] General term is T=n²-1. The 7th term will be evaluated as above:
plug in n=7 in the expression and simplify:
T7=7²-1
T7=49-1
T7=48
thus the 11th term is 48
4] General sequence is T=1/3n². The term will be evaluated as follows:
plug in n=3 in the expression and simplify:
T3=1/(3×3²)=1/27
Thus the 3rd term is 1/27
It is calculated as the square root of variance by determining the variation between each data point relative to themean. If the data points are further from the mean, there is a higherdeviation within the data set; thus, the more spread out the data, the higher the standard deviation.
