Given two terms from a geometric sequence, identify the first term and the common ratio: a5= 48 and a11= 3,072.
1 answer:
Answer: a1 = 3 and r = 2
Step-by-step explanation:
A geometric progression, also called a geometric sequence, is a sequence of numbers whereby every term after the first is gotten by multiplying the previous one by a fixed and non-zero number that is called the common ratio.
In this geometric progression, a5= 48 and a11= 3,072. To get the first term and the common ratio has been attached.
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Answer:
p(x) = 0.1x + 1
Step-by-step explanation:
Pressure at sea level = 1 atmosphere
Depth dove by Sydney = 23 meters
Pressure at a depth of 23 meters = 3.3 atmospheres
So,
Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney
where k is the diving rate constant
=> 3.3 = 1 + k(23)
=> 3.3 = 23k + 1
Subtracting 1 from both the sides, we get
3.3 - 1 = 23k + 1 -1
Cancelling out the +1 and -1 from the right side, we get
2.3 = 23k
=> 23k = 2.3
Dividing both sides by 23, we get
Cancelling out the 23's from the top and bottom of the left side, we have
k = 0.1
Plugging in the value of k in the equation, we get
Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney
p(x) = 1 + k(x) [where p(x) is the pressure at a depth x]
=> p(x) = 1 + 0.1(x)
=> p(x) = 0.1x + 1
For this case we have the following number:
What we must do is rewrite the number as the product of two numbers.
We have then:
From here, we write the number as the multiplication of a whole number and a power of base ten.
We have then:
Where,
: whole number
: power of base 10
Answer:
The distance written as a whole number multiplied by a power of ten is: