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3 years ago

M×10-m×2=8 idk what m is help

Mathematics

1 answer:

Zanzabum3 years ago

4 0

M would be 1 because 1 x 10 would be 10 and 1 x 2 would be 2. 10-2=8! I hope it helps! chyna♡

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Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is

nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

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The half-life of the radioactive element unobtanium-43 is 10 seconds. If 48 grams of unobtanium-43 are initially present, how ma

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Answer:

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

Step-by-step explanation:

Given;

initial mass of the radioactive element = 48 grams

half life, t = 10 seconds

time of decay (s) remaining mass of the radioactive element

0 ------------------------------------------------- 48 grams

10------------------------------------------------- 24 grams

20 ------------------------------------------------- 12 grams

30 -------------------------------------------------- 6 grams

40 --------------------------------------------------- 3 grams

50 ----------------------------------------------------- 1.5 grams

60------------------------------------------------------0.75 grams

Thus;

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

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