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Genrish500 [490]
3 years ago
7

How much of a radioactive kind of protactinium will be left after 3 minutes if the half-life is 1 minute and you start with 352

grams?
Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Answer: 44g

Step-by-step explanation:

Half life refers to the length of time it takes for half of the atoms of the element in question to decay.

The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:

= 352 / 2

= 176g

After the second minute:

= 176 / 2

= 88g

After the third minute:

= 88 / 2

= 44g

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Circular fountain has 18cm base blueprints scale 3cm to 4 feet what is actual area of base after built
GuDViN [60]
\bf \cfrac{\stackrel{model~cm}{3}}{\stackrel{actual~ft}{4}}\qquad \qquad \cfrac{\stackrel{model}{18}}{\stackrel{actual}{a}}=\cfrac{3}{4}\implies \cfrac{18\cdot 4}{3}=a
6 0
3 years ago
a chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth is used in one serving of soup?
mafiozo [28]
Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.

x= amount of broth in one serving

(4 3/4)/10= x/1
cross multiply

(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction

(19/4)(1)= 10x

19/4= 10x
divide both sides by 10

19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10

19/4 * 1/10= x
multiply numerators; multiply denominators

(19*1)/(4*10)= x

19/40 cup= x


ANSWER: 19/40 cup in one serving

Hope this helps! :)
4 0
3 years ago
What is more 7 7/9 or 7 4/5?
bezimeni [28]

First, turn the mixed numbers into improper fractions.

7 7/9 = 70/9

7 4/5 = 39/5

Second, find common denominators.

70/9 = 350/45

39/5 = 351/45

351/45 > 350/45

Therefore, 7 4/5 is greater.

Best of Luck!

5 0
3 years ago
Consider the enlargement of the rectangle. Use the proportion to find the missing dimension bod the original rectangle. (Sorry t
fgiga [73]

Here's the right way:

\dfrac{x}{\frac 3 5} = \dfrac{20}{12}

x = \dfrac{20}{12} \cdot \dfrac{3}{5} = 1

Here's the way they want you to do it:

\dfrac{x}{\frac 3 5} = \dfrac{20}{12}

12 x = 20 \times \dfrac{3}{5} = 12 \textrm{ FIRST BOX}

x = 12/12 = 1 \textrm{ SECOND BOX}

6 0
3 years ago
Read 2 more answers
the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?
Soloha48 [4]

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

a_n=a(r)^{n-1}

where a is the first term and r is the common ratio.

The 11th term is given is

a_{11}=a(4)^{11-1}

48=a(4)^{10} ------- (1)

The 12th term is given by

192=a(4)^{11} ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

48=a(1048576)

Dividing both sides by 1048576, we get;

\frac{3}{65536}=a

Thus, the value of a is \frac{3}{65536}

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term a_n=a(r)^{n-1}, we get;

a_{10}=\frac{3}{65536}(4)^{10-1}

a_{10}=\frac{3}{65536}(4)^{9}

a_{10}=\frac{3}{65536}(262144)

a_{10}=\frac{786432}{65536}

a_{10}=12

Thus, the 10th term of the sequence is 12.

8 0
3 years ago
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