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Sonja [21]
3 years ago
15

Find an equation for the nth term of the arithmetic sequence. -3, -5, -7, -9, ...

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

a(n) = -3 - 2(n-1)

Step-by-step explanation:

The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is

a(n) = a(1) + c(n-1), where c is the common difference.

Here a(1) = -3 and c = -2.

Thus,

a(n) = -3 - 2(n-1).

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Which triangles are similar to triangle ABC?
olasank [31]

Answer:

DEF

Step-by-step explanation:

DEF is half of ABC, which means they're both similar in some way.

As we can see line DE is half of line AB (DE is 5.5 and AB is 11)

Line DF and Line EF are half of Line AC and Line BC (DF/EF is 4 while AC/BC is 8)

3 0
3 years ago
Find the zeros of the function h(x)=x^2-5x-50 by factoring
lukranit [14]
h(x)=x^2-5x-50=x^2-5x-25-25=x^2-25-5x-25\\\\=(x^2-25)-(5x+25)=(x^2-5^2)-5(x+5)\\\\=(x-5)\underline{(x+5)}-5\underline{(x+5)}=(x+5)(x-5-5)=(x+5)(x-10)\\\\Answer:Zeros\ are\ x=-5\ and\ x=10.
5 0
3 years ago
Suppose that 35 people are divided in a random mannerinto two teams in such a way that one team contains10 people and the other
Alisiya [41]

To be precise, the size of your sample space is <span><span>(<span>2410</span>)</span><span>(<span>2410</span>)</span></span>. This number does go on the bottom of the fraction, and what goes on top is the size of the event. Break up the event into independent events 1. choose the 2 defective bulbs, and 2. choose the remaining 8 bulbs. I don't have much choice in event 1. There is only one way to choose both of the defective balls. In other words, <span><span>(<span>22</span>)</span><span>(<span>22</span>)</span></span> (choosing 2 defective bulbs from a set of 2 defective bulbs). For event 2, there are <span><span>24−2=22</span><span>24−2=22</span></span> nondefective bulbs, and I must choose <span>88</span> of them, so that's <span><span>(<span>228</span>)</span><span>(<span>228</span>)</span></span>. Finally, since events 1 and 2 are independent, we multiply the answers for the combined event: <span><span><span>(<span>22</span>)</span><span>(<span>228</span>)</span></span><span><span>(<span>22</span>)</span><span>(<span>228</span>)</span></span></span>

<span><span>P=<span><span><span>(<span>22</span>)</span><span>(<span>228</span>)</span></span><span>(<span>2410</span>)</span></span></span><span>P=<span><span><span>(<span>22</span>)</span><span>(<span>228</span>)</span></span><span>(<span>2410</span>)</span></span></span></span>

Or, since <span><span><span>(<span>22</span>)</span>=1</span><span><span>(<span>22</span>)</span>=1</span></span>,

<span><span>P=<span><span>(<span>228</span>)</span><span>(<span>2410</span>)</span></span></span><span>P=<span><span>(<span>228</span>)</span><span>(<span>2410</span>)</span></span></span></span>

Hope this helps!

7 0
3 years ago
Order six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest.
NNADVOKAT [17]

The order of six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest is negative six and four ninths, −6.1, 630%, six and three tenths repeating. option D

<h3>Ascending order</h3>

This is the arrangements of numbers from the least to the greatest, that is, from lower value to higher value.

six and three tenths repeating

= 6.333

negative six and four ninths

= -6 4/9

= -6.444

630%

= 630/100

= 6.3

−6.1

From least to greatest:

  • negative six and four ninths
  • −6.1
  • 630%
  • six and three tenths repeating

Therefore, the order six and three tenths repeating, negative six and four ninths, 630%, and −6.1 from least to greatest is negative six and four ninths, −6.1, 630%, six and three tenths repeating. option D

Learn more about ascending order:

brainly.com/question/12783355

#SPJ1

4 0
1 year ago
Ou have found a house that you would like to purchase. The amount of the home is $225,000. You would like to finance the home th
Tpy6a [65]

Answer:

  A.  $22,500

Step-by-step explanation:

10% = 10/100 = 1/10

To divide a decimal number by 10, move the decimal point one place to the left (remove a zero):

  $225000./10 = $22500.0 = $22500

5 0
3 years ago
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