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4 years ago

Six more than x equals 9

Mathematics

1 answer:

Mademuasel [1]4 years ago

6 0

Why do I feel like this isn’t enough info

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A hiker is 15 feet above sea level. (Sea level is 0 feet.) A diver is 20 feet below sea level. Find the difference in feet, betw

Leokris [45]

Answer:

35 feet

Step-by-step explanation:

15 + 20 = 35

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3 years ago

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A town has a population of 17000and grows at 4% every year. What will the population be after 5 years, to the nearest whole numb

Elina [12.6K]

Answer:

the answer is 20,400

Step-by-step explanation:

If multiply 17000 by 4% or 0.04 you get 680, this is how mucb it grows by each year, multiply 680 by 5 you get 3400, add that to 17000 and that is how much it grows by each year

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2 years ago

The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.

quester [9]

Answer: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

$a_n=ar^{n-1}$ (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term= $\dfrac{2}{3}$ (2)

Put n=5 and a= 54 in (1), we get

$a_5=(54)r^{4}=$ (3)

From (2) and (3), we have

$\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}$

Explicit form for the geometric sequence: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

3 0

4 years ago

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

puteri [66]

Answer: The answer is (D) $y-1=\dfrac{3}{2}(x+3).$

Step-by-step explanation: We are given to find the equation of a line which is parallel to the line in the graph and passing through the point (-3, 1).

The points (-2, -4) and (2, 2) lie on the line in the graph, so its slope will be

$m=\dfrac{2+4}{2+2}=\dfrac{6}{4}=\dfrac{3}{2}.$

The slope of the line parallel to the line in the graph will also be same. Since the new line passes through the point (-3, 1), so the equation of the line will be

$y=1=m(x+3)\\\\\Rightarrow y-1=\dfrac{3}{2}(x+3),$

which is in the slope-intercept form.

Thus, the correct option is (D).

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3 years ago

Does multiplying by 1/3 and dividing but 3 produce the same answer

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

it makes a new answer

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4 years ago

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