helppppppppppppppppppp pls

Answer:

100%

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:

C. sides of 3, 4 and 7

can't form a triangle.

the longest side (7) must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

Answer:

I think it's 6,800 in3 I don't know perfectly whether it is correct answer or not

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:

74.5

Step-by-step explanation:

Answer:

7/12 < 2/3 < 17/24 < 3/4

Step-by-step explanation:

least to greatest

Answer:

2.4 pounds

Step-by-step explanation:

19.2 pounds÷ 8 bags= 2.4 pounds per bag

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:

in between 4.1 and 4.3

Step-by-step explanation:

Answer:

lateral area = pi x radius x slant height

slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50

3.14 x 30 x 50 = 4710m^3

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

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:

m∠U = 54.5°

Step-by-step explanation:

ΔUVW is an isosceles triangle.  The angles opposite UV and VW are congruent.

That means m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 71 = 180

2 m∠U = 109

m∠U = 54.5°

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: It’s UNBIASED!

Step-by-step explanation:

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:

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:

opposite angle of trapezoid is supplementary

<Z+<X=180°

<X=180°-72°

<x=108°

is your answer

The required value of the measure of the angle x is 108°. Option A is correct.

The following image is a trapezoid. if XW is congruent to YZ and measure of m = 72 degrees. calculate the measure of X is to be determined.

The angle can be defined as the one line inclined over another line.

A trapezoid is defined as a quadrilateral with one couple of opposite sides parallel. the sum of the opposite angles is 180. Only one pair of opposite sides should be parallel not all the sides if all sides are parallel then the shape became a rectangle or rhombus.

Since the sum of the opposite angles in trapezoids is 180°
so,
x + 72° = 180°
x = 180° - 72°
x = 108°

Thus, the required value of the measure of the angle x is 108°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Answer:

adding $2 to a piggy bank each week

Step-by-step explanation:

just took that checkpoint

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:

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:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

But here are some "multiples of 30 degrees:"

60, 90, 120, 180, 150, and so on.  Start with "30 degrees" and multiply that by various positive integers:  2, 3, 4, 6, 5, and so on, to obtain "multiples of 30 degrees."

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

Answer:

6.5

Step-by-step explanation: