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Ostrovityanka [42]
3 years ago
10

Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x) =

10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container. Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
Mathematics
2 answers:
serious [3.7K]3 years ago
6 0

Answer:

8.2 units of radioactive material will remain after 10 hours

Step-by-step explanation:

Given : f(x)=10(0.98)^{x}

To Find : , how much radioactive material will remain after 10 hours?

Solution :

Since we are given a function that represents the amount of radioactive material remaining in a medical waste container over time.

f(x)=10(0.98)^{x}

Where x denoted hours

Since we are asked to find the amount of radioactive after 10 hours .

So, put x = 10 in the given function

f(10)=10(0.98)^{10}

f(10)=10*0.8170

f(10)=8.170

Thus f(10)=8.17 ≈ 8.2

Hence 8.2 units of radioactive material will remain after 10 hours

Sloan [31]3 years ago
5 0
For radioactive decay, the amount should decrease over time. Given the function:
f(x)=10(0.98)^x
We substitute the time of x = 10 hours:
f(10)=10(0.98)^{10} \\ f(10) = 8.17
Therefore 8.2 units will remain after 10 hours.

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What is 8+[4+(-9)] ?
fgiga [73]

Answer:

Positive 3

Step-by-step explanation:

you have to add 4 and -9 first and you get -5 then you add that to positive 8 and get 3

7 0
3 years ago
Three women, Chantel, Marissa, and Qian, enjoy running laps around a circular track. Each women runs at a constant speed. It tak
lubasha [3.4K]

It takes 150 seconds for Qian to complete the track.

Let she runs the track in the clockwise direction.

In 60 seconds, she runs \frac{60}{150} = \frac{2}{5}th of the track.

Since she meets Marissa, who is running in the opposite (counter clockwise) direction in every 60 seconds, Marissa should have completed \frac{3}{5}th of the track.

Chantel meets Marissa in every 300 seconds.

So, in 60 seconds, she advances Marissa by \frac{1}{5}th of the track.

Hence, in 300 seconds, Qian, Marissa and Chantel all meets at the starting point.

ALITER;

Marissa meets Qian in every 60 seconds.

So, Marissa and Qian meet each other in 60th, 120th, 180th, 240th and 300th second.

But, it is given that Chantel meets Marissa in every 300 seconds.

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6 0
3 years ago
What is the value for x
Step2247 [10]

this is an isosceles triangle... meaning that the two base angles will be equal.

180 - 38 =  142

142 / 2 = 71

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6 0
3 years ago
Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .
Masja [62]

Answer:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

Step-by-step explanation:

Lets   y  =  f(x)   in a cartesian coordinates

Having three zeros:

x = -3       ⇒   x  = -2      ⇒   and   x = 1  

That meas that if   x  takes the above mentioned  values " y " must be zero

therefore  y  must be of the form

f (x)  =  y  =  ( x + 3 ) *  ( x +  2 ) * ( x - 1 )     (1)

In that case for y to be zero one of the factors should be zero or

y  =  0        x  + 3 = 0    and  x = - 3  is a zero of the function y .

The same reasoning applies for the other two roots

Now we have to evaluate the other condition.

According to problem statement the function passes through the point ( 3, 11 ) , that means that when x =  3 ,  y have to be 11, therefore we plug in equation (1)  that value to see what happens

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )

11  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1)   =  6*5*2  = 60

Then we adjust the expression (1) to meet the condition of the function passing through point  ( 3 , 11) as:

y  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) * 11/60    (2)

and check to see if we did right

for y to be zero      x   can be    x = - 3    x  =  -2   and  x = 1 in all these cases y = 0.  And if  x  =  3   in equation (2)  y = 11. And that what we want to shown. Then the solution is:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

8 0
3 years ago
Use the rules of equations and inverse operations to solve the equation 3x^2=;8
PtichkaEL [24]

8-2 and then 3 divided by 6 which will give you 0.5 so x=0.5

4 0
3 years ago
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