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2 years ago

Which of the following quadratic regression equations best fits the data

Mathematics

1 answer:

xeze [42]2 years ago

4 0

Answer:

Step-by-step explanation:

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The population of a bacteria sample doubles every 6 hours. How long would it take for the population to triple?

seraphim [82]

The way to solve this question is to essentially reverse the equation I used in the other answer.

I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.

the equation would look like 9 = 3(2)^t/6, note how the instead of 1/2 it is now 2 in the parenthesis, as it doubles every 6 hours rather than halves every amount of hours.

When placed into an algebra calculator, the answer should be about 9.5 hours

8 0

3 years ago

Read 2 more answers

The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

8 0

2 years ago

What is h(x) = 7 + 10x + x2 written in vertex form? h(x) = (x – 25)2 – 18 h(x) = (x – 5)2 + 32 h(x) = (x + 5)2 – 18 h(x) = (x +

muminat

Answer:c

Step-by-step explanation:

6 0

2 years ago

Which image shows the correct position -2 1/2on the number line

Nat2105 [25]

Answer:

The first one

Step-by-step explanation:

8 0

2 years ago

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Multiply and write the solution in scientific notation: 3.2 x 10^2 x 10^5

vlabodo [156]

Answer:

3.2×10²×10⁵=32000000

And the scientific notation is 3.2000000x10⁷

5 0

2 years ago