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2 years ago

An arithmetic sequence has this recursive formula:

Mathematics

1 answer:

Maksim231197 [3]2 years ago

8 0

Answer:

Step-by-step explanation:

the explicit formula for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

from the recursive formula in the form

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

given

$a_{n}$ = $a_{n-1}$ - 7

with d = - 7 and a₁ = 4 , then explicit formula is

$a_{n}$ = 4 + (n - 1)(- 7)

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A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a)

Alla [95]

Answer:

A(t) = 90e^0.12t ;

299 mg

Step-by-step explanation:

General Continous growth rate equation :

A = Pe^rt

A = amount present, t years after year of initial amount.

Here,

P = 90 mg, amount in year 2000

r = rate = 12% = 0.12

t = years after 2000

Therefore,

A is written as ;

A(t) = 90e^0.12t

Amount present in year 2010 ;

t = 2010 - 2000 = 10

A(10) = 90e^0.12(10)

A(10) = 90 * e^1.2

= 90 * 3.3201169

= 298.81052

= 299 mg

5 0

2 years ago

Find the value of x. 5x 130 O A. 10 O B. 36 O c. 26 O D. 18

DaniilM [7]

The answer would be 10 since 10 times 5 is 50 and a line equals 180 so the answer is A.10

5 0

2 years ago

suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel af

Darya [45]

Answer:

The object travels 144,000,000 feet.

Step-by-step explanation:

The distance the object travel after t seconds is given by:

$d(t) = 64t^2$

How far would the object travel after 1.5 * 10^3 seconds

This is d when $t = 1.5 \times 10^3 = 1500$ , so $d(1500)$

$d(1500) = 64*1500^2 = 144000000$

The object travels 144,000,000 feet.

8 0

3 years ago

What is the value of the digit 4 in 46000?

IgorC [24]

I think it is the tens because the first is ten thousand, second is thousand, third is hundreds and last is units ones

4 0

3 years ago

Read 2 more answers

Order these numbers for lest to greatest 1/2 ,1.1 ,5/3 ,2, 0 ,0.4, -2 ,5/8

Nat2105 [25]

The least number should always start off with negatives if there are any. In this case there is so we can start with -2 as our least amount. Next are the small fractions. If you're allowed a calculator, I would use that to find what the decimals will look like for each fraction:

$\frac{1}{2} =0.5\\ \\ \frac{5}{3} =1.6666666666666666666666666666667\\ \\ \frac{5}{8} =0.625$

After -2 the next least number is 0 and the next one is the fraction or decimal closest to the number 0 which is 0.4

The next number would be from the fractions we solved earlier. 0.5 and 0.625 would follow 0.4 and then 1.1 and 1.6667(solved for from fraction).

Here is the list:

$-2,0,0.4,\frac{1}{2} ,\frac{5}{8} ,1.1,\frac{5}{3}$

Hope this helps!

6 0

3 years ago