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
So,
The circumference of a circle is

Substitute 15 for d

47.1
47
Your hand would move 47 inches.
Answer:
Let x pound of the sugar to make 20% syrup.
As per the statement:
Mom wants to make 5 Ibs of the sugar syrup.
We have to find how much water and sugar does she need to make 20% syrup.
By definition of proportion; we have

Simplify:

Multiply both sides by 5 we get;

Remaining = 5 -1 = 4 pounds of water
Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.
Answer:
-5,-2,-1
Step-by-step explanation: