Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
= 
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = (26 + 150)
∴ 2,816 = (176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Which point could be removed in order to make the relation a function? {(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)} Whic
myrzilka [38]
(3,-6) because you can't have two of the same x's in a function
For this case we propose a system of equations. We have to:
x: Let the variable that represents the number of dimes
y: Let the variable that represents the number of quaters
We know that:
One dime equals 10 cents, $0.10
A quater equals 0.25 cents, $0.25
According to the statement we have:
We multiply the first equation by -0.10:
We have the following equivalent system:
We add the equations:
Approximately 3 quater coins
And two dimes
Answer:
3 quater
2 dimes
Answer:
The equivalent expression would be;
S(t) = 86,400•3^t
Step-by-step explanation:
Here, we want to make a transformation
From what we have;
S(t) = 9,600(3)^(t + 2)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
S(t) = 9600•3^t•3^2
S(t) = (9 * 9600) * 3^t
S(t) = 86,400•3^t
Answer: 
Step-by-step explanation:
Since we have given that
And we know that θ is in the Fourth Quadrant.
So, Except cosθ and sec θ, all trigonometric ratios will be negative.
As we know the "Trigonometric Identity":
It must be negative due to its presence in Fourth quadrant.
Hence,
