Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.
6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere =
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904.78 cc
24 cm sphere = </span></span></span>4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere =
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57,905.84
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cc
Comparing the volumes: <span>57,905.84 / 904.78 = </span><span><span><span>64
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Answer:
1/6
Step-by-step explanation:
Answer:
-4x^2 -3x - 5
Step-by-step explanation:
-4x^2 + 2x - 5(1 + x)
Distribute
-4x^2 + 2x - 5 -5x
Combine like terms
-4x^2 -3x - 5
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
