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zepelin [54]
3 years ago
10

Element X is a radioactive isotope such that every 25 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 50 grams, how much of the element would remain after 23 years, to the nearest whole number?
Mathematics
1 answer:
Julli [10]3 years ago
7 0
50*(.5)^(23/25)=26.43
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17•(5-3)+16\8xhnccnnxxj
Bogdan [553]
9 - (7) + 20

2 + 20

= 22
4 0
3 years ago
Jeremy caught 8 fish in a contest.
seraphim [82]

Answer:

3.1 kg

Step-by-step explanation:

4.3+5.3+ 6.8+ 2.6 + 3.2 +4.4 +4.8= 31.4 kg

Last fish= y

(31.4 + y)÷ 8= 4.3125

31.4 + y= 4.3125 x 8

y= 34.5 - 31.4

∴ y= 3.1 kg

6 0
3 years ago
If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
maria [59]
Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61
5 0
3 years ago
How do I solve step by step and the answer to lnX=4.3657
Harman [31]
\bf ln(x)=4.3657\iff log_e(x)=4.3657\\\\
-----------------------------\\\\
{{  a}}^{log_{{  a}}x}=x\impliedby \textit{log cancellation rule}\\\\
-----------------------------\\\\
e^{log_e(x)}=e^{4.3657}\implies x=e^{4.3657}

now, for the other, we use the same cancellation rule

\bf ln(3x)=6\iff log_e(3x)=6\implies e^{log_e(3x)}=e^{6}
\\\\\\
3x=e^6\implies x=\cfrac{e^6}{3}
3 0
3 years ago
The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height o
Elanso [62]
(a) Allow me to guide you on this one. Sketch a cone shape. At the circular base of the cone, sketch a straight line across through the middle which will be your diameter(most preferably where the slant height meet the circular base). Label it 24 m. From the apex of the cone, drop a straight line which is perpendicular to the diameter meeting it in the middle. Label that line 16 m. Label the line slanting from the top to the bottom x.

(b) The slant height of the roof is 20 m.
 x^{2} =12^{2} + 16^{2} =144 + 256
 x^{2} =400
x=√400
x=20m

6 0
3 years ago
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