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enyata [817]
3 years ago
10

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 2%. If the rate of deca

y is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.
Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

The amount of radioactive material remaining after 24 hours is 92.15 kg.

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the amount of the substance after t hours.

From the equation, a = 100 mg

Also, after 6 hours:

100-100*2\%=100b^6\\\\98=100b^6\\\\b=0.9966

After 24 hours:

y = 100(0.9966)²⁴ = 92.15 kg

The amount of radioactive material remaining after 24 hours is 92.15 kg.

Find out more on Exponential function at: brainly.com/question/12940982

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given which of the following describes the boundary line and shading for the second inequality in the system
11Alexandr11 [23.1K]

Answer:

Solid Line, Shade Above

Explanation:

Given:

\left\{\begin{array}{l}&#10;y

The second inequality in the system is:

y\geq x-4

The intercepts of the boundary line (y=x-4) are (0, -4) and (4,0).

Since the inequality has an equal to sign attached, we use a solid line.

At (0,0)

\begin{gathered} y\geq x-4 \\ 0\geq-4 \end{gathered}

Since the inequality 0≥-4 is true, shade the side that contains (0, 0) as shown in the graph below:

So, we use a solid line and shade above the boundary line.

8 0
2 years ago
What is a value or values that make an equation true
zhannawk [14.2K]
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E.g. 2x + 4x = 10 the value that makes this true is 2

or 

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7 0
3 years ago
Craig went bowling with$25 to spend. He rented shoes for $5.25 and paid $4.00 for each game. What was the greatest number of car
FromTheMoon [43]
A 4 times. Because if you do the math, 25- 5.25 = 19.75. And its 4 dollars for each game. If you divided 19.75 in to 4 you will get 4.9375, you can't play a ninth of a game so he ended up playing 4 games. Hope it helped. And have g great day. :-)
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3 years ago
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valkas [14]
The answer to this is A
4 0
3 years ago
Read 2 more answers
A truck can be rented from Company A for $100 a day plus $0.40 per mile. Company B charges $20dayplus $0.90 per mile to rent the
dangina [55]

Answer:

the number of miles is 160

Step-by-step explanation:

The computation is given below:

Let us assume the miles be x

For company A

y = $100 + $0.40x

And, for company B

y = $20 + $0.90x

In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost

SO,

$20 + $0.90x > $100 + $0.40x

Subtract $20 from both sides

0.90x > 80 + 0.40x

Now subtract 0.40x from both sides

0.50x >80

x>160

So the number of miles is 160

6 0
3 years ago
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