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3 years ago

The square root of a number is between 7 and 8. which could be the number? a 72 c 51 b 83 d 66

Mathematics

1 answer:

worty [1.4K]3 years ago

3 0

7 squared is 49, 8 squared is 64, so look for the number that is bewteen 49 and 64, which is 51 in this case

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How many solutions does this system of equations have?

JulsSmile [24]

Answer:

C. exactly one

Step-by-step explanation:

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3 years ago

The following points lies in the solution set of the system of inequalities shown graphed below?

andre [41]

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3 years ago

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.

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3 years ago

7xi + 3(x - 2) - 4x + 8 simplify

Irina-Kira [14]

Answer:

Step-by-step explanation:

the answer is 12x - 5

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3 years ago

Read 2 more answers

Given the trinomial x^2+bx+c where both the first and second signs are positive, the signs of the factors will be: A. both negat

Lunna [17]

The answer here is C. The sign of the factors are both positive. We can use the FOIL method as reference in determining the sign of the factors. The 3rd term C is positive; therefore our only option is either both negative or both positive. Looking the middle term, which is positive, we know that the middle term is the sum of the outer and inner in FOIL method, which means, signs of the factors must be both positive

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4 years ago