A repairman charges $18 per hour to repair appliances plus $0.27 per mile to drive to the house and back. It took the repairman
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For an equation to pass through the origin, (0,0) must be a solution of the equation. So, for the first one,
(0, 0) must satisfy the equation and we can solve for the value of r₁ as shown below.
Since the second equation of the circle also passes through the origin, we use the same steps from the first one.
Thus, we have the values for r₁ and r₂ as 20 and 34, respectively.
Answer: r₁ = 20 and r₂ = 34
(0, 0) must satisfy the equation and we can solve for the value of r₁ as shown below.
Since the second equation of the circle also passes through the origin, we use the same steps from the first one.
Thus, we have the values for r₁ and r₂ as 20 and 34, respectively.
Answer: r₁ = 20 and r₂ = 34
Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is: