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xxMikexx [17]
3 years ago
9

Round the answer to the nearest tenth 4.44 and 10.47

Mathematics
1 answer:
kaheart [24]3 years ago
6 0
4.44 would round to 4.40 because 4 is smaller than 5. 10.47 would round to 10.40 because once again 5 is smaller than 5
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A freshly prepared sample of curium-243 undergoes 3312 disintegrations per second. after 6.00 yr, the activity of the sample dec
Lerok [7]

I took the liberty of finding for the complete question. And here I believe that the problem asks for the half life of Curium. Assuming that the radioactive decay of Curium is of 1st order, therefore the rate equation is in the form of:

A = Ao e^(-kt)

where,

A = amount after t years = 2755

Ao = initial amount = 3312

k = rate constant

t = number of years passed = 6

 

Therefore the rate constant is:

2755/3312 = e^(-6k)

-6k = ln (2755/3312)

k = 0.0307/yr

 

The half life, t’, can be calculated using the formula:

t’ = ln 2 / k

Substituting the value of k:

t’ = ln 2 / 0.0307

t’ = 22.586 years

or

t’ = 22.6 years

4 0
4 years ago
Jack left his house and drove at 60 km/h for 5 hours to reach Spencer's house.
Aleks04 [339]

Answer:

6hrs

Step-by-step explanation:

60km x 5 = 300km distance

50km x 6 = 300km distance

7 0
4 years ago
Find an for the arithmetic series with s16 = -288 And a1 =-21
Maru [420]
If d is the common difference between terms in the sequence \{a_n\}, then

a_1=-21
a_2=a_1+d=-21+d
a_3=a_2+d=-21+2d
...
a_n=a_{n-1}+d=\cdots=-21+(n-1)d

You're told that S_{16}=-288 (the sum of the first 16 terms in the sequence, presumably). Well, we know that

S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)
S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n

Recall that

\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2

so that we have

-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25

So we get

\begin{cases}a_1=-21\\\\a_n=-21+\dfrac25(n-1)\end{cases}
8 0
3 years ago
Who knows math and can help me answer these ?!
amm1812

Answer:

Whats that is that an question?

7 0
3 years ago
F(x) = -x + 2, find f(6)
dimulka [17.4K]

Answer:

f(6)=-(6)+2=-4

........................

7 0
3 years ago
Read 2 more answers
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