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Leona [35]
3 years ago
12

Can anyone help me with this

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

Answer:

Sure, what do you need

Step-by-step explanation:

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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
Anna35 [415]

Answer:

0.625kg

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

  • f(t) is the remaining quantity of a substance after time t has elapsed.
  • a is the initial quantity of this substance.
  • T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

hence, the remaining sample after 420 days is 0.625 kg

4 0
3 years ago
Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha
zhenek [66]

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}

It means Eathn sold 1/12 more lemonade.

5 0
3 years ago
Sort each description of data into the appropriate category.
Alex787 [66]

Answer:

Step-by-step explanation:

Qualitative:

Eye colour

Grade level

favourite music group

Quantitive:

Capacity in litres

Height in inches

Number of siblings

6 0
3 years ago
Read 2 more answers
Zeno is walking in a straight line. With each step, he covers half the remaining distance between him and the end of his path, w
shtirl [24]
8 foot path

1st step = 8/2 = 4ft
2nd step = 4/2 = 2ft
3rd step = 2/2 = 1ft
4th step = 1/2 = 1/2ft

So he covered 7 1/2 ft (or 7.5ft)
5 0
3 years ago
A boogie board that has a regular price of $69 is on sale at a 35% discount. What is the sale price with 7% tax? Please show how
rjkz [21]

Answer:

$47.99

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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