Answer:
30%
Step-by-step explanation:
percent decrease = (new - old) / old * 100 = (3934-5620)/5620 * 100 = 30%
Answer: cos(x)= 10/15
Step-by-step explanation:
Trust
Answer:
1/3 is the answer.
Step-by-step explanation:
Tanya prepared 4 different letters to be sent to 4 different addresses.
To solve this we can do the following:
The probability that the 1st letter is in the right envelope is = 
The probability that the 2nd letter is in the wrong envelope is = 
The probability that the 3rd letter is in the wrong envelope is = 
The probability that the 4th letter is in the wrong envelope is = 1
So, the answer becomes: 
= 
As we need 4 correct letters in the envelope, we will multiply by 4:
2x+8+ 120= 180
Combine like terms so 8+120=128
2x+8+ 120= 180
2x+128=180
-128=-128 ( to both side)
2x= 52 You divide now
2x/2= 52/2
x= 26
There is your answer :)
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
