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S_A_V [24]
3 years ago
5

Find the 34th term of this sequence: -35, -49, -63, -77

Mathematics
2 answers:
Zolol [24]3 years ago
8 0
Rule: Minus 14 for each number.
-35 + 33(-14) = -497

34th term = -497
Dima020 [189]3 years ago
4 0
So the difference is -14
to go from -14 to -35 you do -21
so the nth term is -14n-21
so the 34th term would be:
-14 ×34 which equals -476
then you would do -476-21 which is -497
Therefore the 34th term is -497
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Answer:

  y = 2x−2

Step-by-step explanation:

You are given a slope and a point, so you can write the equation using point-slope form:

  y -k = m(x -h) . . . . . . a line with slope m through point (h, k)

Putting in the numbers given, you have ...

  y -6 = 2(x -4)

  y = 2x -8 +6 . . . . eliminate parentheses, add 6

  y = 2x -2 . . . . . . . collect terms.

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You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.

  • 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
  • 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
  • 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
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3 years ago
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She remove (withdrew)  $55 from her account. Her saving balance(d) decreased by $55
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Write each expression using exponents:<br> 4*4*4*4*4
erastova [34]

Answer:4^6

Step-by-step explanation:

<em>The number of times a term is multiplied is the exponent you use.</em>

<em></em>

<em>In this problem </em>

<em>4 is multiplied 6 times.</em>

<em></em>

<em>Therefore: 4*4*4*4*4*4=4^6</em>

7 0
2 years ago
How do you solve this question
Wewaii [24]

<h2>Solution:.</h2>

Let the ceilings be <em>a</em><em> </em><em>&</em><em> </em><em>b</em>

and the distance from one corner of the ceiling to the opposite be <em>c</em>

<em>then </em><em>using</em><em> </em><em>Pythagoras</em><em> theorem</em>

c =  \sqrt{a {}^{2} +  b  {}^{2} } \\  c =    \sqrt{16 {}^{2} +  12  {}^{2} } \\ c =  \sqrt{256 + 144 }  \\ c =  \sqrt{400}  \\ c = 20

hence ,c .°. the distance from one corner of the ceiling to the opposite is<em> </em><em>2</em><em>0</em>

3 0
2 years ago
Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
mars1129 [50]

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

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0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

5 0
3 years ago
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