Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
Answer:
The measure of <TRU is 72 deg.
Step-by-step explanation:
<QRU is a right angle, so it measures 90 deg.
Since m<QRT = 18 deg, then m<TRU must be 72 deg since 72 + 18 = 90.
Answer: The measure of <TRU is 72 deg.
Answer:
66 mph or 88 mph (I'm a little stuck)
Step-by-step explanation:
Here's how I got this answer:
Conner has to travel 42 miles to get to work.
He left at 7:13 and needs to get to work before 9:30.
If he's going 11 mph for 22 miles, a little less than 2 hours have passed.
If we round up to 2 hours, he has about 15 minutes to get to work.
I multiplied by 22 (the amount of miles he still has left to go) by 2 and got 44. I then realized that would take about 30 minutes (too much time). I did the same thing again but instead I multiplied by 3 and got 66. This is where I got confused. I still can't decide whether the answer is 66 mph, or 88 mph.
(I got the 88 by multiplying 22 by 4.)
(Also, I typed about the same thing in the comments but then typed it out here, too. I would wait for someone else to answer the question or you could choose between the two of my answers and hope for the best haha. You could also email you teacher or someone that could help you!)
Answer:
The expression becomes 3(x+5) = 3x+15
Answer:
She should win approximately 30 times.
Step-by-step explanation:
Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.
