Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to

where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values


step 2
Verify each case
case A) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair Q not lie on the circle
case B) 
substitute the value of
in the equation of the circle and then compare the results

------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair T not lie on the circle
Answer:
-$1000
Step-by-step explanation:
(3800 - x)*3.5/100 = (3800 + x)*6/100
(3800 - x)7/200 = 3/50(3800 + x)
3800 - x = 12/7(3800 + x)
3800 - x = 45600/7 + 12x/7
(19x + 19000)/7 = 0
19x = -19000
x = -$1000.
The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.
Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 7, 8 }
n ( S ) = 8
Let A be the event of getting 4,
A = { 4 }
n ( A ) = 1
P ( A )
= n ( A ) / n ( S )
= 1 / 8
Therefore, the probability of spinning a 4 is 1 / 8.
S = { A, B, A, C, A, B }
n ( S ) = 6
Let Y be the event of getting C,
Y = { C }
n ( Y ) = 1
P ( Y )
= n ( Y ) / n ( S )
= 1 / 6
Therefore, the probability of spinning a C is 1 / 6.
Answer: 2/x+4x^2
Step-by-step explanation:
Do distrubitive property.
SO mutiply 2/5 to 5/x which is 10/5x or 2/x
then 2/5 times 10x^2
10*2/5=20/5 or 4
Done.
Have a nice day! :)