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4 years ago

A culture started with 2,000 bacteria. After 2

Mathematics

1 answer:

Ket [755]4 years ago

3 0

Answer: In 10 hours, 4000 bacteria will be present.

Step-by-step explanation:

Given that 2000 bacteria grew to 2400 in 2 hours,

growth/ increase rate = 2400 - 2000

= 400 bacteria increase in 2 hours

Per hour is therefore 400/2 = 200 bacteria increase per hour

If the bacteria increases by 200 per hour

If 200 = 1 hour

X = 10 hours

We cross multiply:

X = 200 x 10

X = 2000

Therefore, a culture with 2000 bacteria at the same growth rate will have increased by additional 2000 in 10 hours

So, after 10 hours, number of bacteria will be 2000 + 2000 = 4000 bacteria

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Factor the quadratic expression. x2 + 16x + 48

Bingel [31]

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4 years ago

Read 2 more answers

Which statement is true about point F? a.F is the midpoint of AA' because bisects AA'. b.F is the midpoint of EG because AA' bis

Dimas [21]

Answer:

The correct option is;

a. F is the midpoint of $\overline{AA'}$ because line $\overline{EG}$ bisects $\overline{AA'}$

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line $\overline{AA'}$ as the dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of $\overline{AA'}$ because line $\overline{EG}$ bisects $\overline{AA'}$ .

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3 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: