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pantera1 [17]
2 years ago
12

Your last doctor’s visit cost $105. Health insurance through your employer paid $84, and you paid the remaining $21. What percen

tage of the cost did you pay?
Mathematics
1 answer:
koban [17]2 years ago
6 0

Answer:

You paid 20% of the cost.

Step-by-step explanation:

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Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) an
olya-2409 [2.1K]
The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

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3 years ago
Factor 7x^3+28x^2+21x
jarptica [38.1K]

Answer:

7x (x + 1 ) ( x + 3 )

Step-by-step explanation:

7x³ +28x² +21x

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Step-by-step explanation:

a = first number

a + 1 = consecutive number

then:

a + a+1 = 195

2a + 1 = 195

2a = 195 - 1

2a = 194

a = 194/2

a = 97

a + 1 = 98

Check:

97 + 98 = 195

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(9^2)^p=9^8\\\\9^{2p}=9^8\\\\2p=8\\\\p=4

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