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vlabodo [156]
3 years ago
7

Prove that for any natural n the value of the expression (n+7)^2–n^2 is divisible by 7.

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Step-by-step explanation:

(n + 7)² – n²

n² + 14n + 49 – n²

14n + 49

7 (2n + 7)

7 is a factor, so for any natural n, (n + 7)² – n² is a multiple of 7.

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The two circles shown above have radii of 8 in. and 2 in.
algol [13]

Answer:

1/4

Step-by-step explanation:

For the first circle 2 x 2in = 4 to find diameter

4 x 3.14 = 12.56

6in x 2 = 12

12 x 3.14 = 37.68

simplify

12.56/37.68

6.28/18.84

3.14/9.42

So the answer is 1/4 since 3.14 x 2 = 6.28

Also since the radius is 2 times longer

3 0
3 years ago
Read 2 more answers
SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day
Orlov [11]

Answer:

A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.

Step-by-step explanation:

3 0
3 years ago
F(x)=5x^4 helllllpppppp
Marina CMI [18]

we can use properties of functions to find this out


for f(x)=ax^b


if b is even, then the ends of the function go in the same directions (both up or both down)

if b is odd, then the ends of the function go in different directions (one up and one down)


if a is positive and b is even, then both ends point up

if a is positve and b is odd, then it goes from bottom left to top right

if a is negative and b is even, then both ends point down

if a is negative and b is odd, then it goes from top left to bottom right


given f(x)=5x^4

a=5>0

b=4 which is even

so it has both ends pointing up

bottom right graph is yo answer

7 0
3 years ago
Can an exterior angle of a triangle ever be congruent to one of its remote interior angles?
Inga [223]
I do not believe so, no. theres interior angles and exterior angles. hope that helps!
5 0
3 years ago
What is the value of y in this figure ?
Kruka [31]

Answer:

A

Step-by-step explanation:

if you subtract 54 from 180 you would get 126

5 0
3 years ago
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