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frez [133]
3 years ago
13

which function grows at fastest rate for increasing values of x? h(x) = 6x^2+1 , f(x) = 9x +14, g(x)= 4^x

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0

Answer: It's g(x) = 4^x

mezya [45]3 years ago
7 0
Hi there! The answer is g(x) = 4^x.

The function g(x) is an exponential function, and these functions grow faster than linear or quadratic formulas.
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Find the distance between the two points. Round your solution to 2 decimal points.
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3 years ago
A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

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3 years ago
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