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Lesechka [4]
3 years ago
7

radium-226, which has a half-life of 1620 years, is used in medicine for treatment of disease. find the value of k for radium-22

6. how much of a 100-gram does of radium-226 will remain after 3240 years? round to the nearest gram.
Mathematics
1 answer:
sammy [17]3 years ago
6 0
There will be a 25 grams left after 3240 years.

The half-life of Radium-226 is 1620 years. If we divide 3240 by 1620 the answer is 2. So that means the amount of Radium-226 will divide in half twice.

100 / 2 = 50 / 2 = 25
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In Jude Company, land decreased $150,000 because of a cash sale for $150,000, the equipment account increased $60,000 as a resul
Fofino [41]

Answer:

The net cash provided by investing activities is $90,000

Step-by-step explanation:

In this question, we are asked to calculate the net cash that is provided by investing activities.

To calculate the net cash provided by investing activities, we simply subtract the cash used to purchase equipment from cash from sale of land.

Mathematically, net cash provided by investing activities = cash from sale of land - cash used to purchase equipment.

From the question, we can identify that cash from sale of land is $150,000 while cash used to purchase equipment is $90,000

We substitute these and get; $150,000 -$60,000 = $90,000

5 0
3 years ago
Rectangle ABCD is dilated to create rectangle A'B'C'D' . The width of rectangle ABCD is 8 feet. The width of rectangle A'B'C'D'
likoan [24]

Answer:

54 square feet

Step-by-step explanation:

The width of the rectangle ABCD is 8 feet and the area of the same rectangle is 96 square feet.

Hence, the length of the rectangle is (96 ÷ 8) = 12 feet.

Now, if the rectangle ABCD is dilated to rectangle A'B'C'D', then the length and the width of the new rectangle will be changed in the same ratio.

So, \frac{AB}{A'B'} = \frac{BC}{B'C'}  {Where AB is the length and BC is the width}

⇒ \frac{12}{A'B'} = \frac{8}{6}

⇒ A'B' = 9 feet

Therefore, the area of the dilated rectangle A'B'C'D' will be A'B' × B'C' = 9 × 6 = 54 square feet. (Answer)

5 0
3 years ago
5/6 - 2/3 divide by 4/5
ollegr [7]

Answer:

5/24

Step-by-step explanation:

Start with the first part of the probelm 5/6 - 2/3

You need to find a common denominator of 6 and 3

common denominator= 6

so change 2/3 to 4/6

now you can subtract the top values

5/6-4/6

5-6=1

keep the denominator the same

= 1/6

Now divide 1/6  by 4/5

to divide you are going to multiply by the reciprocal so instead of 4/5 we are going to flip it to 5/4

1/6 x 5/4

5x1=5 and 6x4=24

= 5/24

8 0
3 years ago
If 1/2 gallon of paint cover 1/4 of a wall then how much paint is needed to cover an entire wall?
slavikrds [6]

paint is needed to cover an entire wall : 2  

if 1/2 gallon of paint cover 1/4 of a wall => 1 wall = (1/2)/(1/4) =2

4 0
3 years ago
Read 2 more answers
Ben has a cell phone plan that provides 200 free minutes each month for a
user100 [1]

Answer:

The piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a  flat rate of $39.

So,f(x)= 39, x \leq 200

We are also given that  For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

f(x)=39 + 0.35(x - 200), x > 200}

Hence the piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

3 0
3 years ago
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