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Debora [2.8K]
3 years ago
11

If the number of bacteria in a colony doubles every 400 hours and there is currently a population of 500 bacteria, what will the

population be 800 hours from now?
Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

2000 bacterias

suppose, x is the bacteria

there are 500x . for the first 400 hours,the 500 x will double which gives=

500x2=1000 bacterias

then the next 400 hours,the 1000x will double which gives=

1000x2=2000 bacterias

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
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Answer:

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Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = \sqrt{18^2+81^2} = \sqrt{x6885} = 9\sqrt{85}


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ira [324]

Answer:

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