Answer:
33 ¹/₃ seconds
Step-by-step explanation:
Since the dog is 30 - 24 = <em>6 m/s faster than the cat</em>, that means that the dog is <em>6 meters closer to the cat each second</em>.
So, that gap will close in 200/6 = 33 ¹/₃ seconds.
2 is the tens position meaning 2 tens
The pattern is formed a geometric sequence
The nth term of the sequence is 
Step-by-step explanation:
The formula of the nth term of a geometric sequence is:
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ The pattern is 3 , 9 , 27 , 81 , 243
∵ 9 ÷ 3 = 3
∵ 27 ÷ 9 = 3
∵ 81 ÷ 27 = 3
∵ 243 ÷ 81 = 3
- There is a common ratio 3 between each two consecutive terms
∴ The pattern is formed a geometric sequence
∵ The first term is 3
∴ a = 3
∵ The common ratio is 3
∴ r = 3
- To find the nth term substitute a and r in the formula above
∵
∴
- Remember we add the powers of the same base with multiplication
∵ 3 ×
= 
∴ 3 ×
= 
∴ 
∴ The nth term of the sequence is
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
#LearnwithBrainly
Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>
The solutions are also called its roots.