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Tasya [4]
1 year ago
8

In 1986, the worst nuclear disaster occurred in Chernobyl, USSR, when an explosion at a nuclear power plant released 1000 kg of

radioactive cesium-137. The following model calculates the remaining amount of cesium-137 in the atmosphere x years after 1986.
f(x)=1000(0.5)^x/30
Find for the following:
Year x (years since 1986) f(x)
2006 20
2026 40
2046 60
2066 80
2086 100
2106 120
2126 140


If 100 kg or more of cesium-137 is considered unsafe for humans, when will this area be safe again (you may give an estimate based on your table of values above or find the exact value from a graphing utility)? What is the y-intercept for this function and what does it represent? Is this a growth or decay function?
Mathematics
1 answer:
max2010maxim [7]1 year ago
3 0

The time when the area will be  safe again in the year 2086

<h3>What is a nuclear power plant?</h3>

A nuclear power plant is a plant that produces energy by the use of nuclear energy. In a  nuclear plant we always have a nuclear fuel that is used in the plant. The fuel undergoes a fission reaction that enables the plant to be used for the production of electricity.

Now we know that a nuclear reaction is a case of exponential decay hence the  y-intercept for this function is the decay constant of the function.

The time when the area will be  safe again in the year 2086 because following the function;

f(x)=1000(0.5)^x/30 thus;

1000(0.5)^100/30

= 99.2 Kg

Learn more about nuclear decay:brainly.com/question/12224278

#SPJ1

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While playing with magnetic building tiles, Natalie constructed a square pyramid out of
Dovator [93]

The height of the green pyramid constructed  by Natalie while playing with magnetic building tiles is 26.25 cm.

<h3>Volume of the orange pyramid</h3>

The volume of the orange pyramid is calculated as follows;

V = ¹/₃Ah

where;

  • A is the base area of the pyramid
  • h is the height of the pyramid

V = ¹/₃ x (7²) x 5

V  = ¹/₃ x (245 cm³)

<h3>Volume of the green pyramid</h3>

Voume = 21 x [¹/₃ x (245 cm³)]

Volume = 1,715 cm³

<h3>Height of the green pyramid</h3>

V = ¹/₃Ah

3V = Ah

h = 3V/A

h = (3 x 1715) / (14²)

h = 26.25 cm

Learn more about area of pyramid here: brainly.com/question/22744289

#SPJ1

5 0
2 years ago
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 p
Minchanka [31]

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

<h3>What is cost price per pound?</h3>

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

C=\dfrac{4.50}{5}\\C=0.5625

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

brainly.com/question/20333618

4 0
2 years ago
The Pythagorean theorem is a2+b2=c2. Solve for b.
nata0808 [166]

Answer:

b = √c²-a²

Step-by-step explanation:

b² = c² - a²

b = √c²-a²

3 0
3 years ago
Could someone explain and help
vichka [17]

Answer:

  80°

Step-by-step explanation:

The sum of the two angles (red and blue) is 145°, so you have ...

  (4x +5)° +(6x -10)° = 145°

  10x = 150 . . . . . . . . divide by °, add 5, simplify

  x = 15 . . . . . . . . . . . divide by 10

Then the measure of the angle of interest is ...

  m∠XMN = (6x -10)° = (6·15 -10)° = 80°

8 0
3 years ago
Y=-3x+5 <br> 5x-4y=-3<br> Trying to solve this problem
rodikova [14]
Your answer would be y= 5x/-4 - 3/-4 because you’ll move 5x to the other side of the equal sign then divide -4 to get y by itself
5 0
3 years ago
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