Answer:
The formula to find the nth term of the given sequence is 54 · 
Step-by-step explanation:
The formula for nth term of an geometric progression is :
In this example, we have 
= 36 (the first term in the sequence) and
r = 
(the rate in which the sequence is changing).
Knowing what the values for r and are, now we can solve.
= 
= 54 ·
Therefore, the formula to find the nth term of the given sequence is
54 ·
Answer:
E (10)
Step-by-step explanation:
In a right triangle with the legs that have a factor of √2, and the factor is the same, then the hypotenuse of the same triangle is the side length * √2:
so 5√2 * √2 = 10
ANSWER: 10 or E
Answer:x=100
Step-by-step explanation:
Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.
3x-11=289
+11 +11
----------------
3x = 300
Divide 3 on both sides to get x by itself
3x =300
---- -------
3 3
x=100
Initially to make the problem a bit more manageable ignore the .25 hours and just solve for 7 hours.
If he runs 5.5 miles per hour this would be considered his rate. So you can multiply 5.5 miles by the 7 hours he ran. This will give you the distance he ran after 7 hours. But in the problem he runs for an extra quarter of an hour so how do we include this in our answer.
First, figure out the rate of how far he runs every quarter of an hour. To compute this take your original rate 5.5 mi/hr and divide it by 4 to get it in terms of quarters of an hour: 5.5/4 = 1.375 <--- add this to your previous answer to get the total distance he ran.
Answer:
y = 3/2x - 4
Step-by-step explanation:
