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VMariaS [17]
3 years ago
9

The sum of -8 and a number is at least 9

Mathematics
1 answer:
lesya [120]3 years ago
7 0
The answer is D. -8 +n<9;n>17
 
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A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?​
creativ13 [48]

Answer:

(a) a_n=1+\frac{1}{6}(n-1)

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}

Here, a_1=1,a_7=2

So,

a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}

Therefore, the explicit definition of the above sequence is given as:

a_n=1+\frac{1}{6}(n-1)

Where, a_n is the miles covered on n^{th} day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi

Therefore, the number of miles covered by her on day 19 is 4 miles.

3 0
3 years ago
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nadezda [96]
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6 0
3 years ago
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What should replace the ? to make the<br> following statement true?<br> ?<br> 9/11 = ?/88
Feliz [49]

Answer:

72

Step-by-step explanation:

9/11 = ?/88

<em>multiply each side by 8 (because 88 divided by 11 is 8)</em>

72/88 = ?/88

<em>multiply each side by 88</em>

72 = ?

5 0
3 years ago
Factorise fully 77x-33x^2
lesya [120]

Answer:

11x(7 - 3x)

Step-by-step explanation:

77x - 33x² ← factor out 11x from each term

= 11x(7 - 3x)

7 0
2 years ago
What type of sequence is 0,12,24,36,48 geometric or arithmetic?
Gennadij [26K]

Answer:

Arithmetic

Step-by-step explanation:

Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!

7 0
3 years ago
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