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In a science experiment a substance is decaying exponentially. Its mass, M grams, at time t minutes is given by M=300e^(-0.05t). Find the time taken for the mass to decrease to half of its original value.

Firstly, calculate the initial value of of M, by substituting t = 0 into the equation M=300e-0.05tInitially, M0= 300e0=300 x 1 = 300When the substance mass has decreased t...

BR
Answered by Bony R. Maths tutor
7305 Views

How do you divide fractions and mixed numbers

If the question is as such: 3/4 divided by 2/3 you simply reverse the second fraction (making it 3/2) and now multiply the two together. For example, it should now read 3/4 x 3/2 = 9/8. This can then by p...

NW
Answered by Nicholas W. Maths tutor
2854 Views

A cycle race is 3069.25 miles. Juan travels at a speed of 15.12 miles per hour. He cycles for 8 hours a day. Estimate how many days Juan will take to complete the race.

s = d/ t= 3069.25/ 15.12It is an estimated value, so you may use rounded values = 3000/ 15= 200 hours He will be travelling 8 hours every day= 200/ 8= 25 days

HH
Answered by Harith H. Maths tutor
15148 Views

6x-2y=33 4x+3y=9

12x-4y=66 12x+9y=27-13y=39 y=-312x+9(-3)=2712x-27=2712x=54x=4.5

YS
Answered by Yi S. Maths tutor
5003 Views

A linear sequence starts a + 2b, a +6b, a + 10b. The 2nd has a value of 8 and the 5th term has a value of 44. What are the values of a and b?

a + 6b = 8 5th term: a + 18b = 44
term 1: a + 6b = 8term 2: a + 18b = 44
term 2 - term 1: 12b = 36b = 36/12 = 3
a + 6b = 8a + 6(3) = 8a = 8-18 = -10

LR
Answered by Leonie R. Maths tutor
3093 Views

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