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zmey [24]
3 years ago
7

A form of radium decays exponentially with a half-life of 20 years. This means that 50% will be gone every 20 years. A human can

only withstand an exposure of 5 grams of this radium but 150 grams has leaked into the air.
Part A: Write an equation to model the exponential decay of this 150 grams of this form of radium.

Part B: A scientist claims that the area will e safe for humans after 100 years. Do you agree? Verify your answer mathematically and explain why you agree.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0
<h2>✔Answer</h2>

<h2>✏Part A :-</h2><h2>Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.</h2>

<h2>✏Part B :- </h2><h2 /><h2>The Earth could look like within 100 years if we succeed in curbing climate change.</h2>

<h2>Hope it helps.❤</h2><h2 />
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Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ
QveST [7]

Answer:


Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

<u>180 = 4x + b</u>                Subtract

145 = 5x                      Divide by 5

145/5 = 5x/5               Do the division

29 = x                          This represents the cost / day

180 = 4x + b                 Substitute x = 29 to find b

180 = 4*29 + b             Combine

180 = 116 + b                Subtract 116 from both sides.

180 - 116 = b

64   = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.


8 0
3 years ago
Jimmy is working at a factory where they make cars and trucks in the ratio five to four if the factory makes 100 trucks how many
-BARSIC- [3]

Answer:

125

Step-by-step explanation:

5/4=x/100

x=500/4

x=125

4 0
2 years ago
Find the surface area of a cubical planter<br> measuring 30 inches on a side.
Snezhnost [94]

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

3 0
3 years ago
Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.
Taya2010 [7]
So 5 pounds=12.5
divide 12.5 by 5 to get dollars per pound
$2.5 per pouind
4 0
3 years ago
Read 2 more answers
6 - 8a + 5a - 35
Fittoniya [83]
Ok, so after you do -8a+5a, you also have to do 6 -35, getting the equation
-29-3a
7 0
3 years ago
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