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Tasya [4]
2 years 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]2 years 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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It costs $0.60 per ft² to cover a right triangular field with sod. The side lengths of the field are 300 ft, 400 ft, and 500 ft.
algol [13]
In this triangle, we know base & perpendicular are 300 & 400 'cause 500 is the longest side which is hypotenuse 

Now, Area of a triangle = ab/2 = (300)(400)/2 = 120000/2 = 60000

As cost for 1 ft² = $0.60
cost for 60000 ft² = 60000 * 0.60 = $36000

In short, Your Answer would be Option A

Hope this helps!
8 0
4 years ago
Read 2 more answers
A hiker approximates an angle of elevation to the top of a hill to be 22 degrees. After walking 700 feet closer, the hiker notic
worty [1.4K]

Answer:

The height of the hill =  h = 580.7 feet

Step-by-step explanation:

Let height of the hill = h

From the triangle A B D

Tan 22 = \frac{AB}{BD}

⇒ AB = h &  B D = y + 700

⇒ Tan 22 =  \frac{h}{y + 700} ------------(1)

From triangle ABC

Tan 38 = \frac{AB}{BC}

⇒ AB = h & BC = y

⇒ Tan 38 = \frac{h}{y} ------------------(2)

⇒ h = y tan 38 -----------------(3)

Put the value of h from equation (3) into equation (1) we get

⇒  (tan 22) × (y + 700) = y × tan 38

⇒ 0.40 y + 282.82 = y × 0.78

⇒ y = 742.12 feet -----------------(4)

Put this value of y in equation 3 we get  

⇒ h = 742.12 × tan 38

⇒ h = 580.7 feet

This is the height of the hill.

6 0
4 years ago
Which angle has a sine of −12 and a cosine of −3√2 ? A 7π6 B 4π3 C 5π6 D 5π3
kobusy [5.1K]

Answer:

A. 7π/6.

Step-by-step explanation:

I think you mean a sine of -1/2  and cosine of -√3/2   ( the values in the question are not possible)

Angle  π/6 has a sine of  1/2 and a cosine of √3/2  ( from the 30-60-90 triangle).

This angle must be in the third quadrant because the sin and cos are negative.

So the answer is π +π/6 = 7π/6.

6 0
4 years ago
Divide 72 in a ratio of 3:5
Keith_Richards [23]
The ratio is 3:5.
\frac{x}{y}=\frac{3}{5} \ \ \ |\hbox{cross multiply} \\&#10;5x=3y \ \ \ |\div 5 \\&#10;x=\frac{3}{5}y

You have to divide 72, so the sum of x and y is 72.
x+y=72 \ \ \ |-y \\&#10;x=72-y

Set both expressions equal to each other:
x=x \\&#10;\frac{3}{5}y=72-y \ \ \ |\times 5 \\ &#10;3y=360-5y \ \ \ |+5y \\&#10;8y=360 \ \ \ |\div 8 \\&#10;y=45 \\ \\&#10;x=72-y=72-45=27

72 divided in a ratio of 3:5 is 27:45.
8 0
4 years ago
QUICK HELP!! If two linear equations have one solution, then the...
nevsk [136]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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