The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
Answer:
-1701
Step-by-step explanation:
The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...
7, -21, 63, -189, 567, -1701
The value of f(6) is -1701.
_____
<em>Additional comment</em>
The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...
f(n) = 7×(-3)^(n-1)
Then f(6) is ...
f(6) = 7×(-3)^5 = 7×(-243) = -1701
Answer: 7/3
Step-by-step explanation: let the original real number be x. After moving the decimal point of this real number two digits to the right, the number becomes 100x. The positive difference between the two numbers is 100x - x = 99x. Dividing the difference by 11, we have 99x/11 = 9x, which we are told is 21, so we have the equation 9x = 21/9, which equals 7/3. Thus, the original real number is 7/3.
Answer:
the longest side of the triangle?
Step-by-step explanation:
Answer:
6 segments are required to connect each point to every other point.
Step-by-step explanation:
If four points are placed on a circle.Then as we know the segment is a line that join two points.
Now as we are given four points on the circle.
- so we will firstly start with the first point; the first point requires 3 segments to connect to the remaining three points.
- Next second point will just require 2 segments to connect to the two points as it is already connected to the first point.
- similarly third point requires just one segment to connect to the last point as it is already connected to first and second point as done above.
- and hence by the above three steps the fourth point is connected to all the points.
Hence, 6 segments are required to connect each point to every other point.
