What number is greater than 18.55 and less than 18.6

Mathematics

2 answers:

Anastaziya [24]3 years ago

5 0

If rounded to the first digit, you can choose:
18.56
18.57
18.58
18.59

EastWind [94]3 years ago

5 0

The are infinitely many such numbers.

Few examples:
18.57
18.5901
18.5566666
18.580000000000003

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Simplify..............

Neporo4naja [7]

(2x² + 7x + 10) - (x² + 2x - 9) =
2x² + 7x + 10 - x² - 2x + 9 =
x² + 5x + 19

6 0

3 years ago

Read 2 more answers

Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four

ICE Princess25 [194]

An arithmetic sequence takes the form

$a_n=a_{n-1}+d$

where $d$ is the common difference between terms. You can solve for $a_n$ in terms of any of the previous terms of the sequence:

$a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd$

for some integer $1\le k\le n-1$

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term $a_1$

$a_n=a_1+(n-1)d$

Given that the 4th term is $a_4=-6$ and the 11th term is $a_{11}=-34$ , you have the following system of equations.

$\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}$

Solving this system for the two unknowns yields $a_1=6$ and $d=-4$ .

So, the sequence is given explicitly by

$a_n=6+(n-1)(-4)=-4n+5$

3 0

3 years ago

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

mihalych1998 [28]

Answer:

5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...

x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

x^4(x^2 -25) + 199(x^2 -25) = 0

(x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

x^2 = 25

x = ±5

The duration required for capacity to reach 4975 units is 5 months.