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2 years ago

14

The initial population of bacteria in a lab test is 400. The number of bacteria doubles every 30 minutes. Predict the bacteria p

opulation at the end of three hours

1 answer:

vladimir1956 [14]2 years ago

6 0

25,600 will be the bacteria population after doubling every 30 minutes for 3 hours.

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A fruit company delivers its fruit in Two types of boxes large and small a delivery of 7 large boxes and 9 small boxes has a tot

Marina86 [1]

i don't have an answer sorry.

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3 years ago

Help with inequalities

max2010maxim [7]

Answer:

$2(b - 9) \geqslant 26$

Step-by-step explanation:

difference of a number and 9 means to subtract

$b - 9$

twice that means multiply by 2

$2(b - 9)$

at least is greater than or equal to

$2(b - 9) \geqslant 26$

8 0

3 years ago

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

3 years ago

Solve triangle. round to the nearest tenth

LUCKY_DIMON [66]

Answer:

37.5 ( i didn't round cause the answer looked simple already)

Step-by-step explanation:

formula for triangle is base x height divided by 1/2

Base(5) x Height(15) = 75 now divide by 1/2

75 divided by 1/2 = 37.5

(Could i have brainliest if i'm right?)

4 0

2 years ago

310 is the product of 106 and n

lyudmila [28]

Answer:

Step-by-step explanation:

106n=310

n=300/106=150/53

6 0

3 years ago