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topjm [15]
3 years ago
12

Find the 15th term of the geometric sequence 8, 32, 128, ...

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer: 2,147,483,648

Step-by-step explanation: Long number, but the pattern is to keep multiplying the previous number by 4

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In 1981, the Australian humpback whale population was 350 and has increased at a rate of 14% each year since then.)
dimulka [17.4K]

Answer:

In 1981, the Australian humpback whale population was 350

Po = Initial population = 350

rate of increase = 14% annually

P(t) = Po*(1.14)^t

P(t) = 350*(1.14)^t

Where

t = number of years that have passed since 1981

Year 2000

2000 - 1981 = 19 years

P(19) = 350*(1.14)^19

P(19) = 350*12.055

P(19) = 4219.49

P(19) ≈ 4219

Year 2018

2018 - 1981 = 37 years

P(37) = 350*(1.14)^37

P(37) = 350*127.4909

P(37) = 44621.84

P(37) ≈ 44622

There would be about  44622  humpback whales in the year 2018

5 0
3 years ago
Given the two expressions shown below:
kobusy [5.1K]
<h2>Answer: A. Both are rational.</h2>

Step-by-step explanation:

Although both expressions have square roots, the result of each square root is an integer, which can be expressed as a fraction.

In this sense:

Rational numbers are all numbers that can be represented as the quotient (division) of two integer numbers. This means they can be represented as a fraction in which the denominator is nonzero.

If we solve both expressions, we will be able to see that the result is an integer that can be expressed as a fraction with two integers:

\sqrt{4} + \sqrt{25}=2 + 5= 7 The result is an integer

7=\frac{7}{1}

\sqrt{4} + \sqrt{9}= 2 + 3=5 The result is an integer

5=\frac{5}{1}

7 0
3 years ago
The function of this sequence is linear. The slope of the function is 5. What number should be first in the sequence? ? , ____ ,
allsm [11]

Answer:

2.

Step-by-step explanation:

The common difference is 5 so the first number is 7 - 5 = 2.

6 0
3 years ago
Estimate the quotient 430 divided by 9
adell [148]

Answer:

47.77778 but really it's just 47

4 0
3 years ago
What is the value of 12a^-4b^-3 for a = 2 and b = -1?
enyata [817]
12a^-4 * b^-3
a= 2 and b = -1

Can you put 2 where it says a and -1 where it says b
7 0
2 years ago
Read 2 more answers
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