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andreyandreev [35.5K]
2 years ago
9

11. In a parking garage there is a 6:5 ratio of blue cars to

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
6 0
Answer: 125 Red Cars

6:5 = 275; Write as equation by adding a variable to the ratio:

6x + 5x = 275; add
11x = 275; divide
x = 25; put 25 in for “5x,” which represents the ratio 5 for red cars

5(x) = 5(25) = 125

Check:
6(25) + 5(25) = 275; multiply
150 + 125 = 275; add
275 = 275; is true so answer is right.
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If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

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pH = f(x) = -log₁₀x

1. Graphs

I used Excel to calculate the pH values and draw the graphs (see the Figure).

f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.

The points at which pH = 0 and pH = 1 are indicated by the large red dots.

2. x = 0.5

When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.

3. Transformations

(a) ƒ(x) = -log(x) + 1

This function has no y-intercept, because log(0) is undefined.

(b) ƒ(x +1) = -log(x + 1)

f(0) = -log(0 + 1) = -log(1) = 0

This function has a y-intercept at (0,0).

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