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ExtremeBDS [4]
3 years ago
6

What is the ratio of Tom's salary to Adam's salary if Tom's salary is $4,500 and Adam's salary is $7,500?

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

3 : 5

Step-by-step explanation:

To express $4500 : $7500  as a ratio in simplest form

divide both quantities by 500

= 9 : 15 ← divide both by 3

= 3 : 5 ← ratio in simplest form

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SOMEONE HELP ASAP!!
Anuta_ua [19.1K]

9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

3 0
3 years ago
Is y=3x-5 linear or non-linear?<br><br> (A linear<br><br><br> (B non-linear
WINSTONCH [101]
A...............................
5 0
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Step-by-step explanation:

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y^5/y^3 subtract the exponents since the base is the same

6 0
3 years ago
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How to subtract unlike fractions
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The lowest common factor is both fractions is 24.           Multiply both denominators to get 24. 

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You do not have to multiply each side by the same number.
 
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