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kolezko [41]
3 years ago
7

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

Mathematics
1 answer:
sdas [7]3 years ago
3 0

Answer:

117

Step-by-step explanation:

every time x goes up by one you add 5 to y

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Prove that under root 2 is a irrational number​
torisob [31]

Answer:

Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2  = a/b it follows that 2 = a2/b2,  or  a2 = 2 · b2.  So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

(I copied this from the internet, but hope it helps!)

4 0
3 years ago
Read 2 more answers
What is the Lcm of 5 and 20​
Inga [223]

Answer:

20 is the LCM of 5 and 20.

....

5 0
2 years ago
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A car's speed is 45 miles per hour. How far will it go in 4 hours and 20 mins?
PIT_PIT [208]

Hi Quanzia25,

Solution:

45mph

45mph x 4hrs. = 180 miles in 4 hours

45 / 3 = 15

180 + 15 = 195

Answer:

The car has traveled 195 miles.

7 0
3 years ago
Read 2 more answers
There are three shapes in front of you. The square has a side of 4 meters.
jolli1 [7]

Answer:

Example: A four-sided shape has two adjacent sides with lengths of 4 meters. You can find the area of this square by multiplying its base times its height: 4 × 4 = 16 square meters. Example: A square's diagonals are both equal to 10 centimeters.

7 0
3 years ago
Can someone please help me please I really need help please answer it correctly
kvv77 [185]

Answer:

<h3>Princeton Florist</h3>

Let the total charge is y, the number of small arrangements is x.

<u>Total charge will be:</u>

  • y = 13x + 47
<h3>Chad's Flowers</h3>

<u>Total charge will be:</u>

  • y = 17x + 35

<u>Since the total charge is same in both shops, we have:</u>

  • 13x + 47 = 17x + 35

<u>Solve for x:</u>

  • 17x - 13x = 47 - 35
  • 4x = 12
  • x = 3

<u>Total cost is:</u>

  • 13*3 + 47 = 39 + 47 = 86

<u>Small arrangements</u> = 3, <u>cost </u>= $86

7 0
3 years ago
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