Given parallel lines, which pair of angles are congruent?

Answer: The above Table 1 will calculate the population size (N) after a certain length of time (t). All you need to do is plug in the initial population number (No), the growth rate (r) and the length of time (t). The constant (e) is already entered into the equation. It stands for the base of the natural logarithms (approximately 2.71828). Growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. For humans, population growth rate is based on one year. If a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent. Another way to show this natural growth rate is to subtract the death rate from the birth rate during one year and convert this into a percentage. If the birth rate during one year is 52 per 1000 and the death rate is 12 per 1000, then the annual growth of this population is 52 - 12 = 40 per 1000. The natural growth rate for this population is 40/1000 x 100 = 4%. It is called natural growth rate because it is based on birth rate and death rate only, not on immigration or emigration. The growth rate for bacterial colonies is expressed in minutes, because bacteria can divide asexually and double their total number every 20 minutes. In the case of wolffia (the world's smallest flowering plant and Mr. Wolffia's favorite organism), population growth is expressed in days or hours.

Each wolffia plant is shaped like a microscopic green football with a flat top. An average individual plant of the Asian species W. globosa, or the equally minute Australian species W. angusta, is small enough to pass through the eye of an ordinary sewing needle, and 5,000 plants could easily fit into thimble.

See Straight Pin & Sewing Needle Used In Wayne's Word Articles

There are more than 230,000 species of described flowering plants in the world, and they range in size from diminutive alpine daisies only a few inches tall to massive eucalyptus trees in Australia over 300 feet (100 m) tall. But the undisputed world's smallest flowering plants belong to the genus Wolffia, minute rootless plants that float at the surface of quiet streams and ponds. Two of the smallest species are the Asian W. globosa and the Australian W. angusta. An average individual plant is 0.6 mm long (1/42 of an inch) and 0.3 mm wide (1/85th of an inch). It weighs about 150 micrograms (1/190,000 of an ounce), or the approximate weight of 2-3 grains of table salt. One plant is 165,000 times shorter than the tallest Australian eucalyptus (Eucalyptus regnans) and seven trillion times lighter than the most massive giant sequoia (Sequoiadendron giganteum).

See Photo Of Massive Giant Sequoia Tree

See Photo Of The Australian Wolffia angusta

See Photo Of The Indian Wolffia microscopica

See Additional Color Images Of Wolffia Species

The growth rate for Wolffia microscopica may be calculated from its doubling time of 30 hours = 1.25 days. In the above population growth equation (N = Noe rt), when rt = .695 the original starting population (No) will double. Therefore a simple equation (rt = .695) can be used to solve for r and t. The growth rate (r) can be determined by simply dividing .695 by t (r = .695 /t). Since the doubling time (t) for Wolffia microscopica is 1.25 days, the growth rate (r) is .695/1.25 x 100 = 56 percent. Try plugging in the following numbers into the above table: No = 1, r = 56 and t = 16. Note: When using a calculator, the value for r should always be expressed as a decimal rather than a percent. The total number of wolffia plants after 16 days is 7,785. This exponential growth is shown in the following graph where population size (Y-axis) is compared with time in days (X-axis). Exponential growth produces a characteristic J-shaped curve because the population keeps on doubling until it gradually curves upward into a very steep incline. If the graph were plotted logarithmically rather than exponentially, it would assume a straight line extending upward from left to right.

Sixteen days of exponential growth in Wolffia microscopica.

Wolffia plants have the fastest population growth rate of any member of the kingdom Plantae. Under optimal conditions, a single plant of the Indian species Wolffia microscopica may reproduce vegetatively by budding every 30 hours. One minute plant could mathematically give rise to one nonillion plants or 1 x 1030 (one followed by 30 zeros) in about four months, with a spherical volume roughly equivalent to the size of the planet earth! Note: This is purely a mathematical projection and in reality could never happen!

Step-by-step explanation:

Answer:

6 jellybean

Step-by-step explanation:

Given that:

Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.

Consider the regular flavored jellybean to be = r;  &

The surprise jelly bean.= s

From the bag, there are 40 jellybeans of which 15% is surprise jellybean.

Therefore the number of expected surprise jellybeans is:

= total number of jellybeans × percentage of surprise jellybean

= 40 × (15 /100)

= 6 jellybean

If  6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean

Answer:

-400i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i

Answer:

4.572 meters

Step-by-step explanation:

hope it helps, mark brainliest please

Answer:

4.572 meters; 4.6 rounded.

Step-by-step explanation:

Multiply the foot value by 0.3048 or divide by 3.280839895

15x0.3048

=4.572

Answer:

-1 > -2

Step-by-step explanation:

-9 ÷ (3(3) > -2

-9 ÷ 9= -1

-1 > -2

this is true

Answer: 80%

Step-by-step explanation:

64/80 x 100% = 80%

9514 1404 393

Answer:

  19.5 hours

Step-by-step explanation:

The number in the dish at time t (in hours) can be described by ...

  n(t) = 100·2^(t/26)

We want to find t such that ...

  n(t) = 168

  100·2^(t/26) = 168

  2^(t/26) = 1.68 . . . . . . divide by 100

  (t/26)log(2) = log(1.68) . . . . . take logarithms

  t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t

  t ≈ 19.5 . . . hours

It would be about 19.5 hours until there are 168 bacteria.

Answer:

2,880

Step-by-step explanation:

P + 60N = x

1500 + 60(23) = x

1500 + 1380 = x

2880 = x

Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

y = - 4

Answer:

the answer is B that is

ΔABC is similar to ΔEDC

Step-by-step explanation:

look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.

moreover, c is at the last in abc just like in edc

Answer:

O (8, -6)

Step-by-step explanation:

brainiest plz

Answer:

(-6,8)

Step-by-step explanation:

Have a good day

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

Answer:

shusidvxxosbsbzbz

Step-by-step explanation:

usjzkdofjfbf

Answer:

50 degree for X look at pic attached

Answer:

(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)

plz solve this question

Step-by-step explanation:

3 is the ans

Answer:

The vertical asymptotes occur at x = 4 and x = -4

The zero of the function is (0, 0)

Step-by-step explanation:

The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]

Therefore, we have;

[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]

The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows

For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0

Therefore, the vertical asymptotes are the lines x = 4 and x = -4.

The zero of the function is given as follows;

[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]

Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0

x = 0/4 = 0

Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).

Answer:

The distance between the two points is [tex]\sqrt{26}[/tex]

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ The points are (-1, 3) and (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]

∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]

∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]

∴ d = [tex]\sqrt{25+1}[/tex]

∴ d = [tex]\sqrt{26}[/tex]

∴ The distance between the two points is [tex]\sqrt{26}[/tex]

Answer:

-6

Step-by-step explanation:

The formula of slope Y2-Y1/X2-X1

so you actually use this formula equal to -2

10-6/X-(-4) = -2

Step-by-step explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

Answer:

-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10+

Step-by-step explanation:

and anything above 10 would be true

Answer:

Y =1 is a good answer for this question.

Answer:

2 is the slope

Step-by-step explanation:

the equation is y=mx+b so if it is

y= 2x+7 that means the slope is 2

Answer:

2

Step-by-step explanation:

This equation is in y=mx+b form.

Slope = m

Y-intercept = b

This will give you the slope of 2 :)

Answer:

y= -5x/4 + 3

Step-by-step explanation:

To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.

Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].

So y - (-2) = (-5/4)(x - 4) (equation of the line)

y + 2 = -5/4(x - 4)

y + 2 = -5x/4 + 5

y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)

You could also use (8,-7) instead of (4,-2).

Answer:

a) 44[tex]\sqrt{3}[/tex]/3 feet

b) .3 minutes

Step-by-step explanation:

We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by

for b), simply divide a) by 75 ft/min, which is approximately  .3 minutes.

Answer:

it more than tripled

Step-by-step explanation:

I'm not sure if you need more but it requires me to type more to send the answer

Answer:

It more than tripled

Step-by-step explanation:

Right on Edge 2021

Answer:

48/5

Step-by-step explanation:

hope it helps!

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