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Kisachek [45]
3 years ago
13

Interpret the slope for the situation: The number of people who worked for the railroads in the United States each year from 198

9 to 1995 can be modeled by the equation y = -6.61x + 229, where x represents the number of years since 1989 and y represents the number of railroad employees (in thousands).
Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

-6.61

Step-by-step explanation:

Unless there is more included in this problem then -6.61 is the slope. Slope is represented as m in y=mx+b. Simply substituting in the slop and y-intercept shows that m=-6.61 or the slope is -6.61.

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A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacit
aleksandr82 [10.1K]

Answer:

A.)359.2, B.)2.5 uf

Step-by-step explanation:

E / I = R

208 / 1.04 = 200 ohms

2*pi*f*L = Xl

6.28*400*.143 = 359.2 ohm

1 / (2*pi*f*Xc) = c

1 /(6.28*400*159.2) = 2.5 uf

8 0
3 years ago
Two cars are driving toward each other from opposite directions. If one is driving 55 mph, the other is driving 60 mph and the c
Korvikt [17]
Set 500 to sum of distances traveled by both cars.
55t + 60t = 500  \\ 115t = 500  \\ t = (500/115) = 4.3
4 0
2 years ago
2 fuel tanks with demensions shown have the same volume. what is the value of h?
FromTheMoon [43]
The value of h is two feet.
5 0
3 years ago
What is the equation of a circle with center (−8, 3) and radius 8?
Genrish500 [490]

Answer:

x^2 + y^2 + 16x + 6y + 9 = 0

Step-by-step explanation:

Using the formula for equation of a circle

(x - a)^2 + (y + b)^2 = r^2

(a, b) - the center

r - radius of the circle

Inserting the values given in the question

(-8,3) and r = 8

a - -8

b - 3

r - 8

[ x -(-8)]^2 + (y+3)^2 = 8^2

(x + 8)^2 + (y + 3)^2 = 8^2

Solving the brackets

( x + 8)(x + 8) + (y +3)(y+3) = 64

x^2 + 16x + 64 + y^2 + 6y + 9 = 64

Rearranging algebrally,.

x^2 + y^2 + 16x + 6y + 9+64 - 64 = 0

Bringing in 64, thereby changing the + sign to -

Therefore, the equation of the circle =

x^2 + y^2 + 16x + 6y + 9 = 0

7 0
3 years ago
Please help me with my homework please answer this correctly
sleet_krkn [62]
6 then thousandths=60,000
1 more thousandth then 10,000=11,000
No hundreths=000
3 more tens then 10,000=40,000
And 4 fewer ones than 10,000=9,996
Add that all together and you get 121, 996
5 0
2 years ago
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