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Digiron [165]
3 years ago
13

Need Help with finding half life or doubling time

Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer:

12.2 hours

Step-by-step explanation:

You want to find t such that y = 2·y₀. That is, you want to solve

... 2y₀ = y₀·e^(0.0567t)

Dividing by y₀, you have

... 2 = e^(0.0567t)

and taking the natural log gives ..

... ln(2) = 0.0567t

... ln(2)/0.0567 = t ≈ 12.2248 . . . . divide by the coefficient of t

The doubling time is approximately 12.2 hours.

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Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,
solong [7]

The value of the population of the growth of an endangered birth after 5 years is 1975

<h3>How to determine the population after 5 years?</h3>

The population function is given as:

B(t) = 100 + 3/5t^5

At 5 years, the value of t is 5

So, we have

t = 5

Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5

This gives

B(5) = 100 + 3/5 * 5^5

Evaluate the exponent

B(5) = 100 + 3/5 * 3125

Evaluate the product

B(5) = 100 + 1875

Evaluate the sum

B(5) = 1975

Hence, the value of the population of the growth of an endangered birth after 5 years is 1975

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

4 0
1 year ago
Hi can anyone do this for me please do it on a piece of paper
Vsevolod [243]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

We don't know the drivers' names or when or where they started. We have made the assumption that the second equation pertains to Kylie.

Each line is plotted with the appropriate slope and y-intercept. The slope is the coefficient of x, and represents the "rise" for each unit of "run" to the right.

8 0
3 years ago
Solve the inequality<br> d-6&gt;-4
Annette [7]
D-6>-4
+6 both sides
d>2
4 0
3 years ago
Read 2 more answers
A right triangle has a hypotenuse length of 12, and one side length of 9. find the missing side length. do the side lengths form
Rina8888 [55]

Use the Pythagorean theorem:

a^2+b^2=c^2

c - a hypotenuse

a, b - legs

We have: a = 9 and c = 12. Substitute:

9^2+b^2=12^2

81+b^2=144               <em>subtract 81 from both sides</em>

b^2=63\to b=\sqrt{63}\\\\b=\sqrt{9\cdot7}\\\\b=\sqrt9\cdot\sqrt7\\\\ \boxed{b=3\sqrt{7}}

A Pythagorean triple consists of three positive integers a, b and c, such that

a^2+b^2=c^2.

b=3\sqrt{7} is not positive integer.

<h3>The sides of the triangle do not form a pythagorean triple.</h3>
5 0
3 years ago
Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi
Marianna [84]
You must find the relative rates of both workers...

T=f/3 and J=f/2  so if they work together to clear the field then:

ft/3+ft/2=f  make all terms have a common denominator of 6

(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f

2ft/6+3ft/6=6f/6  multiply both sides by 6

2ft+3ft=6f  divide both sides by f

2t+3t=6  combine like terms on left side

5t=6  divide both sides by 5

t=6/5 hr

t=1 1/5 hr

t=1 hr 12 min
8 0
3 years ago
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