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Gennadij [26K]
2 years ago
13

7. You are sitting on a boat on a lake. You can get a sunburn from the sunlight that hits you directly and also from

Mathematics
1 answer:
damaskus [11]2 years ago
3 0

Answer:

Step-by-step explanation:

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If n and k are positive integers, is n divisible by 6 ? (1) n = k(k + 1)(k – 1) (2) k – 1 is a multiple of 3.
xz_007 [3.2K]

Answer: yes, it is

Step-by-step explanation:

A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.

n = k(k+1)(k-1)

If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.

Now, if k-1 is a multiple of 3, it can be even or odd.

if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6

if k-1 is odd, then k and k+1 is even, hence, divisible by 2.

As n = k(k+1)(k-1), n is also divisible by 6.

4 0
3 years ago
WILL GIVE BRAINLIEST!!!!
boyakko [2]

Exponential functions are known to increase geometrically. An example of exponential function is  p(x) = 500(1.02)^x

<h3>Exponential functions</h3>

Exponential functions are known to increase geometrically. The standard exponential function is given as:

y = ab^x

a is the base

x is the exponent

From the given options, the function written in this form is

p(x) = 500(1.02)^x. Hence an example of exponential function is

p(x) = 500(1.02)^x

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

8 0
2 years ago
What is the coefficient of x2 in the expansion of (x + 2)3?
wolverine [178]
One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get x^2+4x+4.
Then do (x^2+4x+4)*(x+2)
That will be x^3+6x^2+12x+8
So the answer is 6
4 0
3 years ago
John ordered medium French fries $1.89,2 hot dogs $2.19,and an iced tea $1.35. All the menu items are subject to a sales tax of
tatuchka [14]

$4.18 would be his change back

6 0
3 years ago
In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,
steposvetlana [31]

Answer:

huhhhhhhhhhh

Step-by-step explanation:

3 0
3 years ago
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