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Kaylis [27]
2 years ago
7

In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the su

bstance was 1400 grams and mass was decreasing by 10% per day. Write a recursive formula to represent the mass of the radioactive sample on the day of the experiment.
Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

The recursive formula is mathematically given as

a_n=1266.77e^n

<h3>What is the recursive formula?</h3>

Generally, the equation for the decay is  mathematically given as

at=a_oe^{-\lambda t}

Hence

a1=1400e^{-0.1 (1)}

In conclusion,

a_n=1400e^{-0.1 (n)}\\\\a_n=1266.77e^n

Read more about recursive formula

brainly.com/question/8972906

#SPJ1

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how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.
Elena L [17]

Answer:

The correct options are:

  • g(x) is shifted three units higher than f(x).
  • g(x) has a period that is half the period of  f(x).

Step-by-step explanation:

We have to compare the graphs of the function:

f(x)=\sin x

and g(x)=\sin 2x+3

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

  • Hence, the period of g(x) is half the period of f(x).
  • Also we could observe that g(x) is shifted 3 units upward.

3 0
3 years ago
Read 2 more answers
Please simplify this expression.<br> 1 + 4.25n + 32p – 3 + (–2p) + 54n
nata0808 [166]

Answer:

58.25n+30p-2

Step-by-step explanation:

Given the expression as;

1 + 4.25n + 32p – 3 + (–2p) + 54n

collect like terms

1-3+4.25n+54n+32p-2p

-2+58.25n+30p

58.25n+30p-2

I have copied one brainly user's answer, sorry for that...

However, hope it helps you!!!

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A trip to another city is 180 miles. In miles per hour to the nearest tenth, how fast does one have to drive to average 60 mph o
irakobra [83]

Answer:

63.5

Step-by-step explanation:

If one didn't take a 10 minute break he could drive 60 mph totalling 180 minutes but since he did and 180 - 10 = 170. He/she has to drive 180 miles in 170 min. so we take so we divde 180/170 and multiply by 60. If you round it to the nearest tenth you get 63.5

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There should be a total of 3 zeros because the largest exponent is 3. 
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2 less than the product of 5 and n
Deffense [45]

The product of 5 and n is written as 5n.

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