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stiks02 [169]
3 years ago
6

Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n. thanks.

Mathematics
1 answer:
azamat3 years ago
6 0

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

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Can someone explain how to do this and add the formula please
lisabon 2012 [21]

Answer:

5 is 35 and 6 is 50

Step-by-step explanation:

To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.

For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50

(sorry if you still can't understand it I'm not good at English

6 0
3 years ago
The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their label
yulyashka [42]
Problem One
Call the radius of the second can = r
Call the height of the second can = h

Then the radius of the first can = 1/3 r
The height of the first can = 3*h

A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h] 

Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel

Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.

Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.

If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder. 

One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h

Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h

Answer: Upper left corner  <<<<< Answer
8 0
4 years ago
What is the scentific notation of 803,000
Orlov [11]
8.03 times 10^5 or
8.03e+05
6 0
4 years ago
Read 2 more answers
(x-3)(x+6)<br>multiply and simplify your answer ​
enot [183]

Answer:

x^{2} + 9x +18

Step-by-step explanation:

multiply the parentheses together (x × x)=x² and x×6=6x then do 3×x which will equal 3x and then multiply 3 and 6 which is 18

now combine like terms (x²+6x+3x+18)

6+3=9 so now you will have x²+9x+18

5 0
3 years ago
Help 30 points and i will mark brainliest for the best answer which will be more points
klasskru [66]

Answer:

See below

Step-by-step explanation:

From the table we see there is a relation between x and y values

Every step change of x = 0.5, every step change of y = 2

<u>This relation is linear. The formula for linear function is:</u>

  • y = mx + b

<u>Using to pairs of points to get the slope and y-intercept</u>

  • (0, 60) and (1, 64)

<u>Calculating the slope:</u>

  • m = (64 - 60)/(1 - 0) = 4/1 = 4
  • y - intercept is 60 as per point (0, 60)

<u>So the function is</u>

  • y = 4x + 60
<h3>Part A</h3>
  • Yes. Described above
<h3>Part B</h3>
  • y = 4x + 60
<h3>Part C</h3>
  • Slope is the steepness of the line.
  • y -intercept is the lowest score with no time spent studying
6 0
3 years ago
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