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ivanzaharov [21]
3 years ago
15

What logarithmic function represents the data in the table?

Mathematics
2 answers:
alina1380 [7]3 years ago
8 0
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 = log_6x
lubasha [3.4K]3 years ago
3 0
The correct answer among the choices provided is the fourth option. The logarithmic function f(x)=log(base 6)x represents the data in the table. Log is the value that one can get to express a number to a certain power. It is solved through finding the pattern using the given values, 
6^3 = 216 
6^4 = 1296 
6^5 = 7776 
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To answer this you can use a guess and check strategy.

Start with 5 minutes using it (25% lost) and 10 minutes charging (20% gained).

Try 7 minutes using it (35% lost) and 14 minutes charging (28%).

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10 minutes (50%) and 20 minutes (40%). This is the difference.

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6 0
3 years ago
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In this figure m&lt;3=130 <br> What is m&lt;6 ?
Georgia [21]

Answer: m\angle6=50\°

Step-by-step explanation:

You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.

The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).

Therefore, you know that:

m\angle3+m\angle6=180\°

So you can substitute m∠3=130° and solve for m∠6. Then you get:

130\°+m\angle6=180\°\\m\angle6=180\°-130\°\\m\angle6=50\°

4 0
3 years ago
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Are the ratios of the number of people to the number of rollercoaster cars in a proportional relationship? Explain your reasonin
LiRa [457]

Answer:

the answer will be 366:81

Step-by-step explanation:

you will find value of ratio 3:18

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7 0
3 years ago
A child walks due east on the deck of a ship at 3 miles perhour.
VladimirAG [237]

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

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Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

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From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

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3 years ago
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Wewaii [24]

Answer:

C

Step-by-step explanation:

Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)

m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8

3 0
2 years ago
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