Answer:
19 > 1083
Step-by-step explanation:
Given: The nth term of a sequence is given by .
let βn be the nth term.
then βn = 3n²
Let x be the term which is the first one with a value greater than 1000.
19 th term is the first one with a value greater than 1000 the sequence that is βx > 1000
3x² > 1000
divide by 3
3x²/3 > 1000/3
x² > 1000/3
x² > 333.33.....
to make x the subject of the formula, square root both sides
√x² > √333.333
the square cancel the square root at x
x > √333.333
x>18.257
x > 19 approximately
19 th term is the first one with a value greater than 1000 the sequence.
that is: β19 = 3(19)²
3(316)²
=1083.
Hope it will help.
Answer:
-3
Step-by-step explanation:
firstly, -3/12 is not in the simpliest form so we have to simplified it:
-3/12 / 3 = -1/4, now we got:
= (-6*(-1/4)*-4*5) / 10
The upper part of the equation: (-6*(-1/4)*-4*5) can be simplified as:
((-6*-1*-4*5) / 4) / 10
= (-120/4)/10
= -30 / 10
= -3
Hope this help you :3
The cost of one drink is $2.50 and cost of one popcorn is $3.75
<u><em>Explanation</em></u>
Suppose, the cost of one drink is 
dollar and cost of one popcorn is 
dollar.
Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75
So, the system of equations will be......
Multiplying equation (1) by -3 , we will get.....
Now, adding equation (2) and equation (3) , we will get ............
Plugging this 
into equation (1) ......
So, the cost of one drink is $2.50 and cost of one popcorn is $3.75
Answer:
the answer is b
Step-by-step explanation:
i did the quiz
Answer:
22.0625
Step-by-step explanation:
Lateral surface area formula: (a+b+c)h=L
(4+5+7)h=L
(16)h=353
16h=353
h=22.0625
Hope this helps!
