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wariber [46]
4 years ago
13

1. What is a sequence?

Mathematics
1 answer:
Arturiano [62]4 years ago
3 0

Answer:

1. A particular order in which related events, movements, or things follow each other.

2. A term

3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.

4. Sequence of numbers such that the difference between the consecutive terms is constant.

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Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
I don't really understand this question so can someone please help
Makovka662 [10]
Hello,

(5x-2)+(2x+6)=67
==>7x+4=67
==>7x=67-4
==>7x=63
==>x=63/7
==>x=9
|AB|=5x-2=5*9-2=45-2=43 (miles)


8 0
3 years ago
Can someone help me please
Sergeu [11.5K]

Answer:

i only know cos

cos0 = 8/9

Step-by-step explanation:

7 0
3 years ago
Between which pair of numbers is the exact product of 379 and 8?
AnnZ [28]
The product of 379 and 8 is 3,032.

It's between (any number less than 3,032) and (any number greater than 3,032).

I guess if this is an <em>estimation </em>exercise, you could say that it's between
(8 x 300) and (8 x 400), or 2,400 and 3,200. 
5 0
4 years ago
The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units i
alina1380 [7]

Answer:

\boxed {\boxed {\sf 48 \ meters }}

Step-by-step explanation:

The perimeter is the sum of the side lengths.

A rectangle has 4 sides: 2 lengths and 2 widths, so the perimeter formula is

p= 2l+2w

The length is 20 meters and the width is 4 meters.

p= 2(20 \ m )+ 2(4 \ m )

Multiply.

p= 40 \ m + 8 \ m

Add.

p= 48 m

The perimeter of the rectangle is <u>48 meters. </u>

4 0
3 years ago
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