Answer: $25,500
<u>Step-by-step explanation:</u>
The given sequence {1300, 1300+150, ... } provides the following information:
- the first term (a₁) = 1300
- the difference (d) = 150
We can use the information above to find the explicit rule of the sequence:

We can use the explicit rule to find the 12th term (a₁₂)

Next, we can input the first and last term of the sequence into the Sum formula:

Answer:
1000000
Step-by-step explanation:
Add 10 with 6 0's
Answer:
8
x
9
−
28
x
8
+
29
Step-by-step explanation:
Answer:
(4,1)
Step-by-step explanation:
2x+4y=12
y=x-3
2x+4*(x-3)=12
2x+4x-12=12
6x=24
x=4
y=4-3=1
(4,1)
Answer:
combined velocity of the system = 0.033 m/s.
Step-by-step explanation:
taking the bullet and block as single system since there is no external force involved momentum is conserved .
initial momentum of the bullet = mv
where m is the mass of bullet and v is velocity of bullet.
and initial momentum of block = 0 since its velocity is 0.
therefore initial momentum of the system = mv
= 0.005×40
= 0.2
when the bullet stick of together with the block let the combined velocity of the system be V
therefore applying conservation of momentum
mv = (M+m)V
0.2=(6+0.005)V
therefore V = 0.033 m/s