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2 years ago

A population of bacteria is initially 2,000. After three hours the population is 1,000.

Mathematics

1 answer:

lina2011 [118]2 years ago

5 0

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

2000 b^3 = 1000

This gets us:

b^3 = 1/2

And taking the cube root of both sides gives us:

b ≈ 0.7937005259841

Rounding that to 4 places, we have:

f(t) = 2000 (0.7937)^t

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|x-1|+5=2 also this question

Marizza181 [45]

Answer:

No solution

Step-by-step explanation:

There are no values of x that make the equation true.

6 0

3 years ago

Read 2 more answers

You have one type of nut that sells for $2.80/lb and another type of nut that sells for $9.60/lb. You would like to have 20.4 lb

max2010maxim [7]

Answer:11.396Ibs of nuts that cost $9.60/Ib and 9.014Ibs that cost $2.80/Ib

Step-by-step explanation:

First we find the cost of the supposed mixture we are to get by selling it $6.60/Ib which weighs 20.41Ibs

Which is 6.6 x 20.41 = $134.64

Now we label the amount of mixture we want to get with x and y

x = amount of nuts that cost $2.8/Ib

y = amount of nuts that cost $9.6/Ib

Now we know the amount of mixture needed is 20.41Ibs

So x + y = 20.41Ibs

And then since the price of the mixture to be gotten overall is $134.64

We develop an equation with x and y for that same amount

We know the first type of nut is $2.8/Ib

So for x amount we have 2.8x

For the second type of nut that is $9.6/Ib

For y amount we have 9.6y

So adding these to equate to $134.64

2.8x + 9.6y = 134.64

So we have two simultaneous equations

x + y = 20.41 (1)

2.8x + 9.6y = 57.148 (2)

We can solve either using elimination or factorization method

I'm using elimination method

Multiplying the first equation by 2.8 so that the coefficient of x for both equations will be the same

2.8x + 2.8y = 57.148

2.8x + 9.6y = 134.64

Subtracting both equations

-6.8y = -77.492

Dividing both sides by -6.8

y = -77.492/-6.8 =11.396

y = 11.396Ibs which is the amount of nuts that cost $9.6/Ib

Putting y = 11.396 in (1)

x + y = 20.41 (1)

x +11.396 = 20.41

Subtract 11.396 from both sides

x +11.396-11.396 = 20.41-11.396

x = 9.014Ibs which is the amount of nuts that cost $2.8/Ibs

8 0

3 years ago

Anyone want to answer the number for X???????

Anna007 [38]

Answer:

$\frac{\sqrt{10} }{2}$

Step-by-step explanation:

Using cosine (since that is adjacent over hypotenuse), cos(60)=1/2 so your answer is hypotenuse*1/2= $\sqrt{10}*\frac{1}{2}=\frac{\sqrt{10} }{2}$

3 0

2 years ago

Read 2 more answers

what are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotensue is 15 units long?

givi [52]

Refer to the diagram shown below.

Given:
m∠A = 19°
c = 15

By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835

cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828

Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)

6 0

3 years ago

A bowl contains 3 red, 8 blue, and 7 black beads. Margaret randomly selects 3 beads one after the other without replacement. Fin

castortr0y [4]

Since your second pick is affected by your first pick & your third pick is affected by the first two, it is dependent.

First pick: 18 marbles, 3 are red, so odds are 3/18 = 1/6

Second pick: 17 marbles, 8 are blue, odds are 8/17

Third pick: 16 marbles, 7 are black, odds are 7/16

<span>1/6 * 8/17 * 7/16 = 56/1632 = 7/204 & as mentioned before it's dependent</span>

3 0

3 years ago