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alex41 [277]
2 years ago
6

Find the equation of the exponential function represented by the table below: y=

Mathematics
1 answer:
Mrrafil [7]2 years ago
4 0

Answer:

The value of exponential function: y = 0.2(0.5)ˣ

Step-by-step explanation:

We know that the exponential function is of the form

y = abˣ

From the table, it is clear that

when x = 0, y = 0.2

so substitute x = 0, y = 0.2

0.2\:=\:ab^{0}

0.2 = a × 1        ∵ b⁰ = 1

0.2 = a

so, we have a = 0.2

now substitute x = 1 and y = 0.1

y = abˣ

0.1 = 0.2×b¹

0.1 = 0.2×b

b = 0.1/0.2

b = 0.5

now substituting a = 0.2 and b = 0.5

y = abˣ

y = 0.2(0.5)ˣ

Therefore, the value of exponential function: y = 0.2(0.5)ˣ

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Teacher's salaries in Georgia are normally distributed with an average salary of $52,000 with a standard deviation of $12,000. W
suter [353]

Answer:

81.85%

Step-by-step explanation:

We have the following information:

mean = m = 52000

standard deviation = sd = 12000

a = 40000

b = 76000

we need to find the probability between a and b, that is:

P (a <x <b) = P (40,000 <x <76000)

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replacing

P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]

P (-1 <z <2)

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Step-by-step explanation:

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You buy a storage case that holds 170 collectible die-cast cars. You have 137 die-cast cars. Write an inequality that describes
Murljashka [212]

Answer:

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Step-by-step explanation:

The following inequality will describe this scenario.

137 + x <= 170

the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.

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Find the average retail price for a 4-year old V6 four-door sedan with air conditioning, power mirrors, leather seats, power sun
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Answer:

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Step-by-step explanation:

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