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2 years ago

Arrange the expressions in increasing order of their values.

Mathematics

1 answer:

iren [92.7K]2 years ago

7 0

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

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The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

5 0

3 years ago

Mr.Tan and his friends planned a group visit for three adults and nine children.Find the amount of money they had to pay for the

siniylev [52]

$36 for adults, $56 children.

7 0

3 years ago

How do you find the total sum of squared values?

tester [92]

Answer:

Step-by-step explanation:

$\sum^{12}_{r=1} r^2 = \frac{12(12+1)(2*12+1)}{6}= A$

$\sum_{r=3}^{12}= \sum_{r=1}^{12} - (r_1+r_2)$

$r_1= 1^2$

$r_2= 2^2$

you do your math!!

7 0

2 years ago

(15/8+2/5)+(-7/8) show ur work

stepan [7]

The answer is 7/5 th. You can add fractions without first having a common denominator so you would change the 8's by multiplying it by 5 to get 40 and you would multiply the 5 by 8 to get 40 as well. And the rule whatever you do to the bottom you have to do to the top so whatever you multiplied 8 by do the same for the numerator and whatever you multiplied 5 by you do the same for the numerator. So your new equation would be (75/40+16/40)+(-35/40). you would then add the numerator's across to get 56 and the denominator would stay the same so the answer is 56/40. But you have to now simplify 56/40 down to 14/10 and then once more to 7/5 which is the final answer.

6 0

3 years ago

Simplify.<br> +6 - 4 =<br><br><br> please help ..........

Step2247 [10]

Answer:

Step-by-step explanation:

it's literally 6-4 = 2

8 0

2 years ago

Read 2 more answers