Answer:
ln(2) + 3ln(a) - 4ln (b)
Step-by-step explanation:
ln(2a^3 /b^4)
We know that ln(x/y) = ln (x) - ln y
ln(2a^3 ) - ln (b^4)
We know that ln (xy) = ln x + ln y
ln(2) + ln(a^3 ) - ln (b^4)
We know that ln(x^y) = y ln (x)
ln(2) + 3ln(a) - 4ln (b)
Answer:
55-15= 40
55,000-10,000=45,000
45000/55=819
i think it is 819?
Step-by-step explanation:
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
Answer:
45
Step-by-step explanation:
Given that the number of savory dishes is 9 and the number of sweet dished is 5.
Denoting all the 9 savory dishes by 
, and all the sweet dishes by 
.
The possible different mix-and-match plates consisting of two savory dishes are as follows:
There are 9 plates with 
from sweet plates which are 
There are 9 plates with 
from sweet plates which are 
Similarly, there are 9 plated for each 
and 
Hence, the total number of the different mix-and-match plates consisting of two savory dishes
