The answer would be -9/40
Here’s how you solve it!
Use PEMDAS through out the whole process
Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))
Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))
Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:
3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)
Then use the greatest common divisor and reduce it by 2
3✖️1/8✖️(2/3➖2/3✖️19/10)
Then reduce again
3✖️1/8✖️(2/3➖1/3✖️19/5)
Then multiply the two factors so it now looks like this:
3✖️1/8✖️(2/3➖19/15)
Now subtract what’s in the parentheses so you get this:
3✖️1/8✖️(➖3/5)
Since a positive multiplied by a negative equals a negative it will now look like this:
➖3✖️1/8✖️3/5
Now all you have to do left is calculate the product to get your answer:
-9/40
Hope this helps! :3
Answer:
the right answer is 170
Step-by-step explanation:
so the 90° angle had been divided into 2 so x is 45°
therefore 45×4 is 180 -10= 170
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio
Term 1: 1000
Term 2: 200
Term 3: 40
From term 1 to term 2, there's a decrease by

From term 2 to term 3, there's a decrease also by

The rule to find the

term in a sequence is

, where

is the first term in the sequence and

is the ratio
So, the formula for the sequence in question is

term =

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.
We can find a partial sum of the sequence using the formula

for -1<r<1
Substituting

and

we have

=

= 1250
Hence, the correct option is option number 1
Answer:
It is geometry
Step-by-step explanation:
Answer:
The projected enrollment is 
Step-by-step explanation:
Consider the provided projected rate.

Integrate the above function.


The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.




Therefore,
Now we need to find 


Hence, the projected enrollment is 