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Maru [420]
4 years ago
5

A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

Mathematics
1 answer:
bearhunter [10]4 years ago
6 0

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

f(t)=256e^{0.06111t}

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256

Now we find the time when the population is 5*256=1,280. The equation to solve is:

1,280=256e^{0.06111t}

Dividing by 256:

e^{0.06111t}=1,280/256=5

Taking natural logarithms:

ln\left(e^{0.06111t}\right)=ln5

Applying the logarithm properties:

0.06111t=ln5

Solving for t:

t=ln5/0.06111=26.34

It will take 26.34 minutes for the population to reach 5 times its initial value

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At the Italian deli, the sandwich maker cut 4 2/3 lb of turkey and 9 3/5 of roast beef. How many more pounds of roast beef were
kherson [118]

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

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3 years ago
What is the value of m in this equation -4(m+6)=-8
Darina [25.2K]
-4m-24=-8
(add 24 to both sides)
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8 0
4 years ago
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Suppose f(x)=x^2-2 find the graph of f(1/2x)
Scorpion4ik [409]

Answer:

graph g(x)=1/4 x^2 - 2

Step-by-step explanation:

You are to replace x with (1/2x) in the expression x^2-2

So you have (1/2x)^2-2

1/4 x^2-2

Graph some points for g(x)=1/4 x^2-2

The vertex is (0,-2) and the parabola is open up.

I would graph 2 more points besides the vertex

x   |  g(x)                     ordered pairs to graph

-----------                         (-1,-1.75) and (0,-2) and (1,-1.75)

-1        -1.75

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3 0
3 years ago
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Multiply the sum of X and Y by 5 and divide the result by the product of two and a​
kvv77 [185]

Answer:

\frac{5(x+y)}{2a} or you could write it as 5(x+Y) ÷ 2a

Step-by-step explanation:

So this is a question that kind of uses spoken words rather than numbers and it involves PEMDAS (if you haven't gotten to PEMDAS yet, don't worry about it, it's ok, it's easy). PEMDAS is simply an acronym for Parenthesis, Exponent, Multiply, Divide, Add, Subtract. Its the order in wwhich you do more complicaterd math problems.

Lets break apart the question:

- We have the sum of x and y, we just write that as x+y

- We have that sum multiplied by 5, we have the sum from the step above, now we'll multiply that by 5. 5(x+y) parenthesis means multiply what is outside with what is inside.

- We have the product (multiply) of 2 and a, 2 times a = 2a.

- We divide the x, y, and 5 term with the 2, a term. Take the first part 5(x+y) and divide it by the second part 2a.

6 0
3 years ago
Which parabola has the graph shown?<br><br> I think the answer is C. however, I'm not 100% sure.
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x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex

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x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2

7 0
4 years ago
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