Answer:
5
Step-by-step explanation:
We are given the geometric series:
-1, - 2, - 4, - 8.......
In the geometric series above, the common ratio = second term/first term = -2/-1
= 2
Where common ratio is greater than 1(r >1)
The sum of a geometric progression =
Sn = a(rⁿ -1)/r - 1
In the question we are asked to find the number of term = n
Sn = -31
a = -1
r = 2
Hence,
-31 = -1(2ⁿ - 1)/2 - 1
-31 = -1(2ⁿ - 1)
-31 = -2ⁿ + 1
2ⁿ = 1 + 31
2ⁿ = 32
2ⁿ = 2^5
n = 5
Therefore, the number of terms(n) = 5
Let's first find the speed Sue can run at in miles per hour.
Sue runs 1/6 mile in 1/10 hour.
To find the speed (the unit rate) we divide the distance by the time.
Sue's speed = (1/6 mile)/(1/10 hour) = 1/6 * 10/1 miles/hour = 10/6 miles/hour = 5/3 miles/hour
Bill's speed is 1/4 of Sue's speed, so we divide Sue's speed by 4 to find Bill's speed.
Bill's speed = (5/3 mph)/4 = (5/3 mph) * 1/4 = 5/12 mph
Bill's speed is 5/12 miles per hour.
Bill can run 5/12 of a mile in an hour.
30 minutes is half an hour, so in half an hour, he runs half of 5/12 of a mile.
Answer: Bill can run 5/24 of a mile in 30 minutes.
Answer: A) True because the leading coefficient is negative
Explanation:
The leading term is -x^2 since this term has the largest exponent.
The leading coefficient is -1 as it's the coefficient of the leading term.
It might help to write -x^2 as -1x^2
The negative leading coefficient makes the parabola open downward, so each endpoint goes off to negative infinity. The graph looks like a frowny face. You can think of a negative emotion going with a frowny face, so that negative emotion matches with the negative leading coefficient. There are probably other ways to remember but that's the trick I use.
Answer:
4 =86.603: X=28.868 ly-x=57,735 al. Page 3. Example 6: Michael, whose eyes are six feet off the ground, is standing 36 feet away from the base of a building, and ...
Step-by-step explanation:
brainlist please
