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Karo-lina-s [1.5K]
2 years ago
14

Please help me with these two math problems that I do not quite understand. This is urgent!

Mathematics
1 answer:
g100num [7]2 years ago
6 0

Answer:

1)a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19

2) a_{10}=4+8(10-1)\Rightarrow a_{10}=76

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2)  is already an Explicit Formula, since it is given the first term a_{1}=-1 the common difference d=-2 let's find some terms of this Sequence through this Explicit Formula:

a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19

2) (4,12,20,28, ..) In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

a_{10}=4+8(10-1)\Rightarrow a_{10}=76

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Answer:

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Step-by-step explanation:

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Now, volume of the first box is given as:

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Volume of the second box is given as:

V_2=l\times b\times h=10\times 10\times 10=1000\ in^3>924\ in^3

Volume of the third box is given as:

V_3=l\times b\times h=10\times 20\times 6=1200\ in^3>924\ in^3

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6 0
3 years ago
Y=2x+1
yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

3 0
2 years ago
How many pairs of whole numbers have a sum of 40
Alex
For the writer, <span><span>there are 20
1.       </span>1 + 39 = 40</span> <span><span>
2.       </span>2 + 38 = 40</span>
<span><span>3.       </span>3 + 37 = 40</span>
<span><span>4.       </span>4 + 36 = 40</span> <span><span>
5.       </span>5 + 35 = 40</span> <span><span>
6.       </span>6 + 34 = 40</span>
<span><span>7.       </span>7 + 33 = 40</span>
<span><span>8.       </span>8 + 32 = 40</span> <span><span>
9.       </span>9 + 31 = 40</span>
<span><span>10.   </span>10 + 30 = 40</span> <span><span>
11.   </span>11 + 29 = 40</span> <span><span>
12.   </span>12 + 28 = 40</span>
<span><span>13.   </span>13 + 27 = 40</span> <span><span>
14.   </span>14 + 26 = 40</span> <span><span>
15.   </span>15 + 25 = 40</span> <span><span>
16.   </span>16 + 24 = 40</span> <span><span>
17.   </span>17 + 23 = 40</span> <span><span>
18.   </span>18 + 22 = 40</span> <span><span>
19.   </span>19 + 21 = 40</span> <span><span>
20.   </span>20 + 20 = 40</span>



5 0
3 years ago
92, 63, 22, 80, 63, 71, 44, 35 <br> Mean:? Median:? Mode:? Range:?
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Answer:

92

−

22

=

70

.

70

Step-by-step explanation:

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