5.5, 5.054, 5.0090,5.05<br>arrange in ascending<br>order

A culture of bacteria has an initial population of 22000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d

Bas_tet [7]

We have been given that a culture of bacteria has an initial population of 22,000 bacteria and doubles every 5 hours. Using the formula $P(t) = P_0\cdot 2^{\frac{t}{d}}$ , where P(t) is the population after t hours, $P_0$ is the initial population, t is the time in hours and d is the doubling time.

We are asked to find the population of bacteria after 17 hours.

First of all, we will substitute our given values in doubling life formula as:

$P(t) =22,000\cdot 2^{\frac{t}{5}}$

Now to find population of bacteria after 17 hours, we will substitute $t=17$ in our formula as:

$P(117) =22,000\cdot 2^{\frac{17}{5}}$

$P(117) =22,000\cdot 2^{3.4}$

$P(117) =22,000\cdot (10.556063286183)$

$P(17) =232233.392296026$

$P(17)\approx 232,233$

Therefore, the bacteria population will be 232,233 after 17 hours.

7 0

4 years ago

WILL MARK BRAINLIEST!!! Given p(x)=x3−4x2+15x+k and the remainder of the division of p(x) by (x+1) is equal to −8, what is the r

balandron [24]

Use the polynomial remainder theorem. If $p(x)$ is a polynomial of degree $n>1$ , then we can divide by a linear term $x-c$ to get a quotient $q(x)$ and remainder $r(x)$ of the form

$\dfrac{p(x)}{x-c}=q(x)+\dfrac{r(x)}{x-c}\iff p(x)=(x-c)q(x)+r(x)$

Then when $x=c$ , we get $p(c)=r(c)$ . In other words, the value of $p(x)$ at $x=c$ tells you the value of the remainder upon dividing $p(x)$ by $x-c$ .

So given that $p(x)=x^3-4x^2+15x+k$ , and the remainder upon dividing $p(x)$ by $x+1$ is -8, we know that $r(-1)=-8$ , so

$\dfrac{x^3-4x^2+15x+k}{x+1}=q(x)-\dfrac8{x+1}$
$\dfrac{x^3-4x^2+15x+k+8}{x+1}=q(x)$

Since $q(x)$ is a polynomial (not a rational expression), then we know that $x+1$ divides $x^3-4x^2+15x+k+8$ exactly. In particular, the remainder term of this quotient is 0. We can use long or synthetic division to determine $q(x)$ . I prefer typing out the work for synthetic division:

-1   |   1   -4   15    k + 8
.     |        -1     5       -20
- - - - - - - - - - - - - - - - - -
.     |   1   -5    20    k - 12

The remainder here has to be 0, so $k-12=0\implies k=12$ .

Finally, we can get the remainder upon dividing $p(x)$ by $x-1$ by evaluating $p(1)$ , which gives $p(1)=24$ .

6 0

3 years ago

Read 2 more answers

Helppppp I’ll mark you brainlist

slava [35]

Answer:

-243

Step-by-step explanation:

Since your finding the 36th term and you know the equation plugin 36(as n) into the arithmetic sequence.

-7(36)+9 = -243

6 0

3 years ago

there are 32 students in ms keys he homeroom. of the students 3/8 are boys. how many boys are in the homeroom

algol13

Answer: 12 out of the 32 would be boys. Hope this helps.

7 0

4 years ago

Read 2 more answers

Hello pls help I'm dumb thx it's pre calc

Bumek [7]

(f-g)(x)=f(x)-g(x)=
$\frac{2x+6}{3x}-\frac{\sqrt{x}-8}{3x}=$
$\frac{2x+6-(\sqrt{x}-8)}{3x}=$
$\frac{2x+6-\sqrt{x}+8}{3x}=$
$\frac{2x-\sqrt{x}+14}{3x}$
answer is A

3 0

4 years ago

5.5, 5.054, 5.0090,5.05arrange in ascendingorder​

5.5, 5.054, 5.0090,5.05arrange in ascendingorder