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Klio2033 [76]
3 years ago
12

7 = y + 2 check your solution

Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

9

Step-by-step explanation:

the answer is 9 because 7=y so , 7+2=9

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A rectangle and a parallelogram have the same base and the same height.
Studentka2010 [4]

Answer:

Step-by-step explanation:

The areas of the two figures are the same.

4 0
3 years ago
In an arithmetic sequence, a_17 = -40 and a_28 = -73. Please explain how to use this information to write a recursive formula fo
Vinvika [58]

An arithmetic sequence

a_1,a_2,a_3,\ldots,a_n,\ldots

is one in which consecutive terms of the sequence differ by a fixed number, call it <em>d</em>. This means that, given the first term a_1, we can build the sequence by simply adding <em>d</em> :

a_2=a_1+d

a_3=a_2+d

a_4=a_3+d

and so on, the general pattern governed by the recursive rule,

a_n=a_{n-1}+d

We can exploit this rule in order to write any term of the sequence in terms of the first one. For example,

a_3=a_2+d=(a_1+d)+d=a_1+2d

a_4=a_3+d=(a_1+2d)+d=a_1+3d

and so on up to

a_n=a_1+(n-1)d

In this case, we're not given the first term right away, but the 17th. But this isn't a problem; we can use the same exploit to get

a_{18}=a_{17}+d

a_{19}=a_{17}+2d

a_{20}=a_{17}+3d

and so on, up to the next term we know,

a_{28}=a_{17}+11d=-40+11d

(Notice how the subscript of <em>a</em> on the right and the coefficient of <em>d</em> add up to the subscript of <em>a</em> on the left.)

The 28th term is -73, so we can solve for <em>d</em> :

-73=-40+11d\implies -33=11d\implies d=-3

To get the first term of the sequence, we use the rule found above and either of the known values of the sequence. For instance,

a_{17}=a_1+16d\implies-40=a_1-16\cdot3\implies a_1=8

Then the recursive rule for this particular sequence is

\begin{cases}a_1=8\\a_n=a_{n-1}-3&\text{for }n>1\end{cases}

7 0
3 years ago
Solving for a Confidence Interval: Algebra 2 points possible (graded) In the problems on this page, we will continue building th
baherus [9]

Answer:

Step-by-step explanation:

1) The given inequality is

|\sqrt{n} \frac{(\bar R_n-p)}{\sqrt{p(1-p)} } |

\to n( \bar R _n - p)^2

\to n\bar R +np^2-2nR_np

Arranging the terms  with p² and p, we get

p^2(n+q^2_{\alpha /2)-p(2n \bar R _n+q^2_{\alpha / 2})+n \bar R ^2 _n

Hence, the inequality is of the form

Ap² + Bp + c < 0

2. A quadratic equation of the form

Ap² + Bp + c < 0 with A > 0 looks like

<u>Check the attached image</u>

The region where the values are negative lies between p₁ and p₂ ...

The p₁ < p < p₂

4 0
3 years ago
PLEASE PLEASE PLEASE HELP!!! I NEED MY GRADE TO BE UP BY BEFORE TOMORROW THESE ARE ALL THE POINTS I HAVE! 35 POINTS!!! Match the
hodyreva [135]

Answer:

1. A arithmetic sequence that starts at 1 and has a common difference of 3

  • (d) 1, 4, 7, 10, 13, ...

2. A geometric sequence that starts at 1 and has a common ratio of 3

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3. 15, 19, 23, 27, 31, ...

  • (b) arithmetic sequence; common difference of 4

4. 3, 27/3, 27, 243/3, 243, ...

  • (c) geometric sequence; common ratio of 3

5. -2, 16/4, -8, 16, -32, ...

  • (a) geometric sequence; common ratio of -2

6. 8, 40, 200, 1000, 5000, ...

  • (i) geometric sequence; common ratio of 5

7. 1432, 143.2, 14.32, 1.432, ...

  • (f) geometric sequence; common ratio of 0.1

8 0
4 years ago
Read 2 more answers
How do i do this help me pls
IceJOKER [234]

Answer:

Brackets always means multiply, you multiply the power and the 4 with the number power outside

That gives you 16v^18

Step-by-step explanation:

6 0
3 years ago
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