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xz_007 [3.2K]
2 years ago
14

Radium-226, an isotope of radium, has a half-life of 1,601 years. Suppose your chemistry teacher has a 50-gram sample of radium-

226. How much of the sample will be remaining after 100 years?
Mathematics
2 answers:
Sholpan [36]2 years ago
6 0
We know that
Half-life is modeled by the formula
An=A0*(0.5)<span>^[t/h)]
where
An----------> </span>is the amount remaining after a time t
A0----------> is the initial quantity
t------------> is the time
h------------> is the half-life of the decaying quantity

in this problem
h=1601 years
A0=50 g
An=?
t=100 years
An=A0*(0.5)^[t/h)]---------> An=50*(0.5)^[100/1601)]-----> 47.88 gr

the answer is 47.88 g
zhenek [66]2 years ago
3 0

Answer:

115

Step-by-step explanation:

that is the answer for edge

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The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
bogdanovich [222]

Answer:

Option A 50-page photo album holds 400 photographs.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

step 1

<em>Find the value of k</em>

For the point (3,24)

x=3,y=24

k=y/x

k=24/3=8

The equation is equal to

y=8x

step 2

<em>Verify each statement</em>

case A) 50-page photo album holds 400 photographs.

For x=50

substitute in the equation

y=8(50)=400 -----> is correct

case B) 80-page photo album holds 560 photographs.

For x=80

substitute in the equation

y=8(80)=640 -----> is not correct

case C) 100-page photo album holds 8,000 photographs.

For x=100

substitute in the equation

y=8(100)=800 -----> is not correct

case D) 900-page photo album holds 8,400 photographs.

For x=900

substitute in the equation

y=8(900)=7,200 -----> is not correct

9 0
2 years ago
Read 2 more answers
Which graph shows a set of ordered pairs that represents a function?
bonufazy [111]

There is a rule for functions:

One input(x-value) can only have one output(y-value).

If one input has more than one output, it is not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

This graph shows a set of ordered pairs that does NOT represent a function because there are two points on x = -3. The input -3 has more than one output of -4 and 4, so it is not a function.

4 0
2 years ago
Serena is single. She purchased her principal residence three years ago. She lived in the home until she sold it at a $300,000 g
Lesechka [4]

Answer: Long -term capital gain

Step-by-step explanation:

Serena is single, so based on the Taxpayer Relief Act of 1997, she would pay no capital gains tax on the first $250,000 gain.

Therefore, $300,000 - $250,000 =  $50,000

<em>The remaining $50,000 gain is taxable because of her being single and it has been her principal residence for three years.</em>

7 0
2 years ago
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin
djyliett [7]

Answer:

A)  (7.6, 8.8)

which are the coordinates of the treasure.

Missing Problem Statement:

Given Options:

A) (11.4, 14.2)

B) (7.6, 8.8)

C) (5.7, 7.5)

D) (10.2, 12.6)

I have added the picture showing the traced map onto a coordinate plane to find exact location of treasure.

The coordinates of Tree are (16,21)

Coordinates of rock are (3,2)

Step-by-step explanation:

Let,

Coordinates of treasure be (a,b)

d_{1}= distance from tree to treasure

d_{2}=distance from rock to treasure

d_{1}=\sqrt{(16-x)^2 + (21-y)^2}

d_{2}=\sqrt{x\2 + (y-2)^2}

Given ratio between rock and tree, \frac{d_{2}}{ d_{1}}=\frac{5}{9}= 0.55_______(Equation.1)

which will be used to locate the treasure.

Now we just need to cross check by putting the coordinates given in the options one by one to find out value of d_{1},d_{2} and checking if it satisfies the Equation 1.

Check (A) (11.4, 14.2)

d_{2}= 14.8, d_{1}= 8.2,

\frac{d_{2}}{ d_{1}}= 1.8

Check (C) (5.7, 7.5)

d_{2}= 6.13, d_{1}= 16.98,

\frac{d_{2}}{ d_{1}}= 0.36

Check (D) (10.2, 12.6)

d_{2}= 12.8, d_{1}= 10.2,

\frac{d_{2}}{ d_{1}}= 1.25

Check (B) (7.6, 8.8)

d_{2}= 8.2, d_{1}= 14.8,

\frac{d_{2}}{ d_{1}}= 0.55

Which satisfies Equation 1, such that ratio between rock and tree is 5:9 or  \frac{d_{2}}{ d_{1}}=\frac{5}{9}= 0.55

So, the coordinates of the treasure are (B) (7.6, 8.8)

7 0
2 years ago
Read 2 more answers
The sum of 48 and itself its half and half of the hal is added to 18​
hammer [34]

Answer:

150

Step-by-step explanation:

We are carrying out Addition

a) The sum of 48 and itself

= 48 + 48 = 96

b) Its half and half of the half

96 + (1/2 × 48) + (1/2 ×( 1/2 × 48)

= 96 + 24 +(1/2 × 24)

= 96 + 24 + 12

= 132

c) is added to 18

= 132 + 18

= 150

Therefore, the sum of 48 and itself, its half and half of the half is added to 18 is 150

8 0
2 years ago
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