does anyone know how to do this ??

Answer:

74.5

Step-by-step explanation:

Answer:

Both cultures will have the same population after 11 hours.

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for population growth is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

A culture of 100 bacteria grows at a continuous rate of 20%.

This means that [tex]P(0) = 100, r = 0.2[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{1}(t) = 100(1+0.2)^t[/tex]

[tex]P_{1}(t) = 100(1.2)^t[/tex]

The other culture starts to hours later, and we want to take that time as a parameter. So

[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]

Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:

[tex]P_{1}(t) = 144(1.2)^t[/tex]

Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.

This means that [tex]P(0) = 60, r = 0.3[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P_{2}(t) = 60(1+0.3)^t[/tex]

[tex]P_{2}(t) = 60(1.3)^t[/tex]

After how many hours do both cultures have the same population?

This is t for which:

[tex]P_{1}(t) = P_{2}(t)[/tex]

So

[tex]144(1.2)^t = 60(1.3)^t[/tex]

[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]

[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]

[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]

[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]

[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]

[tex]t = 11[/tex]

Both cultures will have the same population after 11 hours.

Answer:

400,000

Step-by-step explanation:

Ok so, su ecusión es 0.05p = 20,000 p = 400,000

lo siento si esto está mal no soy genial con el español.

Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red

Step-by-step explanation:

Answer:

P=a+b+c. To find the area of a triangle, we need to know its base and height. ... Name. Choose a variable to represent it. Let x= the measure of the angle. Step 4.

Step-by-step explanation:

Answer:

60 to 90 feet tall

Step-by-step explanation:

i just looked it up

Answer:

4 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The additive inverse is the value that must be added to the number to give zero.

- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0

           ↑ additive inverse

Answer:

6 bghyjy UC Houston post Getty photo Getty hide and the new Yorker

Answer:

Quadrant IV

Step-by-step explanation:

On the graph, the x-axis numbers are positive and the y-axis numbers are negative

Answer:

(5y+3) x (y-2)

Step-by-step explanation:

5y^2-7y-6

5y^2+3y-10y-6

y(5y+3(-2(5y+3)

(5y+3) x (y-2)

Answer:

3.15 ft

Step-by-step explanation:      

                                                                                              V

Volume of a cylinder:  πr²h.  Solving for r², we get r² = ---------

                                                                                             πh

Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or

1.58 ft, so that the diameter is 2r, or 3.15 ft

The diameter of the base of the cylinder is 3.15 ft.

Answer:

[tex]sin^{-1}(x) = \frac{55}{73} \\\\cos^{-1}(x) = \frac{48}{73} \\\\tan^{-1}(x) = \frac{48}{55}[/tex]

Step-by-step explanation:

Since you're finding the angle, you use the inverse of sin, cos, and tan.

Answer:

1/3

Step-by-step explanation:

Take the second term and divide by the first

9/27 = 1/3

Take the third term and divide by the second

3/9 = 1/3

Check each subsequent ratio, we can see the common ratio is 1/3

Answer:

$1.59

Step-by-step explanation:

monthly finance charge = average daily balance x monthly interest

monthly interest = 14,99% / 12 = 1.249%

1.249% x $127.50 = $1.59

Answer:

Her final average now is 68.

Step-by-step explanation:

In order to find the grade average, you have to multiply each item for its percentage and add the results. Since the statement indicates that the final is 20% of the grade and she forgot to do it, that means that she got 0 for that 20%. Also, we can say that the average she has of 85 represents 80% of her grade and you have to multiply the average for the percentage:

85*0.8= 68

According to this, the answer is that her final average now is 68.

Answer:

-2

Step-by-step explanation:

-6(x-8)=60

x-8=60/-6

x-8=-10

x=-10+8

x=-2

Answer:

Area ≈ 314.16 square inches

Step-by-step explanation:

Radius of circle (r) = ½(20) = 10 in.

Formula for area of circle, A = πr²

Plug in the value into the formula

Area = π × 10²

Area = π × 100

Area = 314.159265

Area = 314.16 in.² (nearest hundredth)

Answer:the photo is to bleary

Step-by-step explanation:

Answer:

8.375

Step-by-step explanation:

5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75

8.25 + 8.5 = 16.75

16.75/2 = 8.375

Answer:A.

Step-by-step explanation:

add the numbers together

23.8 + 12.1 + -17.6+ 31.3 = 49.6

then divide by number of numbers(4)

49.6/4=12.4

Answer:

x = 31

Step-by-step explanation:

The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].

Vertex N matches up with vertex Y.

Vertex P matches up with vertex Z.

Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.

Corresponding sides are in proportion.  To find the proportion between the two triangles, you use known sides from each.

[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.

To find  x , notice that it is side NO which corresponds to side YO from the large triangle.

Answer:

1331 ft³

Step-by-step explanation:

The volume of a cube = (edge length)³

From the above question,

Edge length = 11 ft

The volume of the cube = (11 ft)³

= (11 ft × 11 ft × 11 ft)

= 1331 ft³

The volume of the cube = 1331 ft³

Answer:

when two people answer ur question, a crown will appear.

Step-by-step explanation:

Answer:

give meaning full answers

Answer:

2.4 pounds

Step-by-step explanation:

19.2 pounds÷ 8 bags= 2.4 pounds per bag

126=12%+44%+16%=72%

175/100=1.75

1.75*72=126

so there was 175 people in the server

Answer: It’s UNBIASED!

Step-by-step explanation: