the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

The  growth rate of bacteria is about 26.8 hours to reach 500,000 cells, assuming there are no limiting factors.

The growth rate of bacteria is given as 20% per hour, which means that if there are N bacteria at the start of an hour, the number of bacteria at the end of the hour will be N + 0.2N = 1.2N. This assumes that there are no limiting factors such as space, nutrients, etc.

Let's assume that the time it takes to reach 500,000 cells is t hours. At the start, there is only one bacterium, so the number of bacteria after t hours can be written as:

N(t) = 1 x 1.2^t

We want to find the time t such that N(t) = 500,000. Therefore, we can write:

1.2^t = 500,000

Taking the natural logarithm of both sides, we get:

t ln(1.2) = ln(500,000)

t = ln(500,000) / ln(1.2)

t ≈ 26.8 hours

Therefore, it would take about 26.8 hours to reach 500,000 cells, but in absence of limiting factor.

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Answer:

b

Step-by-step explanation:

b is correct

Answer:

Option 1

Step-by-step explanation:

∠EGB ≅ ∠EHD    {Corresponding angles

∵ ∠AGF ≅∠EHD   {transitive equality property}

Answer:
45.2x0.784

Step-by-step explanation:

This problem equals 35.4368, which has four decimal points

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

The student gets paid $25 for each lawn that is mowed (x)

$15 for each pool that is cleaned (y). The student wants to earn $750.

The equation that represents this relationship is 25x+15y=750.

The x - intercept :

Value of x, when y =. 0

25x + 15(0) = 750

25x + 0 = 750

x = 750 / 25

x = 30

To earn 750, if no pools are cleaned, number of lawns to be mowed = 30

(30, 0)

Y - intercept :

Value of y when x = 0

25(0) + 15y = 750

0 + 15y = 750

y = 750 / 15

y = 50

To earn 750, if no lawns are mowed, number of pools to be cleaned = 50

(0, 50)

Answer:

6c-25

Step-by-step explanation:

comon man lol that's eays

Answer:

Answer would be the last one 6c-15

Step-by-step explanation:

Use distributive property!

the number outside the () times the numbers inside the ()

Note: You missed to add the diagram. After a little research, I found the diagram.

Hence, I am solving the question based on the attached diagram.

Answer:

option C is the right graph that represents the point P(0, 8) on the coordinate plane.

Step-by-step explanation:

The assumed diagram is attached below.

From the diagram, it is clear that:

But, if we closely observe the graph C  on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).

Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.

Answer:

Answer D

Step-by-step explanation: I started from T, go from T to T'. Look at T, count 7 units to the right and that will be 7 positive. Then count 3 units down, which is -3. The translation would be (7,-3) or "D".

Answer:

a) x = 12, y = 24

Step-by-step explanation:

Let the leftmost triangle be called A

And the rightmost triangle be called B

Triangle A) Recall that the hypotenuse in a right isosceles triangle is the length of a leg multiplied by √2

To find x:

Triangle B) Recall that the leg opposite to the 30° angle in a 30°-60°-90° triangle is always half the hypotenuse

Since we know that the leg opposite to 30° is 12 ( which is x), and the hypotenuse is y, we can solve for y

Solve for y:

x = 12, y = 24

-Chetan K

Answer: 112.5 cm3

Hope that helped!

Answer:

the answer is 112.5 cm3

Step-by-step explanation:

on edg

The coordinates of the point at which the terminal side of a 120° angle intersects the unit circle are (√(3/2), 1/2), which corresponds to option (C).

The coordinates of the point at which the terminal side of a 120° angle intersects the unit circle can be found using trigonometric ratios. In this case, the correct answer is option (C) (√(3/2), 1/2).

To determine the coordinates, we need to consider the angle in standard position and the unit circle, which is a circle with a radius of 1.

In the unit circle, the x-coordinate represents the cosine of the angle, and the y-coordinate represents the sine of the angle.

For an angle of 120°, we can find the coordinates as follows:

1. Calculate the cosine of 120°: cos(120°) = -1/2.

  The x-coordinate is -1/2.

2. Calculate the sine of 120°: sin(120°) = √3/2.

  The y-coordinate is √3/2.

Therefore, the coordinates of the point at which the terminal side of a 120° angle intersects the unit circle are (√(3/2), 1/2), which corresponds to option (C).

By applying the properties of the unit circle and trigonometric ratios, we determined the correct coordinates for the point of intersection between the terminal side of a 120° angle and the unit circle. The x-coordinate is found by taking the cosine of the angle (-1/2), and the y-coordinate is obtained by taking the sine of the angle (√3/2). Thus, the correct answer is option (C) (√(3/2), 1/2).

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Answer:

280

Step-by-step explanation:

answer is 280

Answer:

answer is 280

Step-by-step explanation:

d=xt

105=x3

35=x

d=35*8

d=280

Answer:

P = A + B + C

Step-by-step explanation:

Essentially, just add the length of each side. The sum is the perimeter.

Hit brainliest if this was helpful :)

add each side

hope ithelps you

Answer:

that link is a scam do not click on it

Step-by-step explanation:

there are people going around typing this link it guves your phone a virus

The equation can be solved by simplifying the logarithmic terms and applying the properties of logarithms. After simplification, we obtain x = 3.

Starting with the given equation, we can simplify the logarithmic terms using the properties of logarithms. Applying the property ln(A) - ln(B) = ln(A/B), we have ln((x + 1)(x - 4)/(x + 1)) = ln(7). Next, using the property ln(A) = ln(B) if and only if A = B,

we can equate the expressions inside the logarithms: (x + 1)(x - 4)/(x + 1) = 7. Canceling out the common factor of (x + 1), we have x - 4 = 7. Solving for x, we find x = 3.

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The point on the curve where the tangent line is parallel to the plane is (-2sin(arccos(-a/2)), 2cos(arcsin(-b/2)), c).

To find the point on the curve r(t) = (-2sin(t),2cos(t),e^t) where the tangent line is parallel to the plane, we need to find the derivative of the curve and set it equal to the normal vector of the plane.

The derivative of the curve r(t) is:

r'(t) = (-2cos(t), -2sin(t), e^t)

The normal vector of the plane is (a,b,c).

To find the point where the tangent line is parallel to the plane, we need to set the derivative equal to the normal vector:

-2cos(t) = a

-2sin(t) = b

e^t = c

Solving for t, we get:

t = arccos(-a/2)

t = arcsin(-b/2)

t = ln(c)

Plugging these values of t back into the original equation for the curve, we can find the point on the curve where the tangent line is parallel to the plane:

x = -2sin(arccos(-a/2))

y = 2cos(arcsin(-b/2))

z = e^(ln(c))

So the point on the curve where the tangent line is parallel to the plane is (-2sin(arccos(-a/2)), 2cos(arcsin(-b/2)), c).

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Hi, I'm glad to help you with this question. To determine if the normal distribution gives a reasonable approximation using the given data, we need to calculate the mean and standard deviation. Here are the steps:

1. Calculate the mean (average): Add all the data points together and divide by the number of data points.
(71+42+77+84+46+93+94+63+82+88+57+32+79+67+68+83+60+65+58+70) / 20 = 1380 / 20 = 69

Mean = 69

2. Calculate the standard deviation: First, find the difference between each data point and the mean, square the differences, and then find the average of those squared differences. Finally, take the square root of that average.
a. Differences from the mean: (-2, 27, 8, 15, -23, 24, 25, -6, 13, 19, -12, -37, 10, -2, -1, 14, -9, -4, -11, 1)
b. Squared differences: (4, 729, 64, 225, 529, 576, 625, 36, 169, 361, 144, 1369, 100, 4, 1, 196, 81, 16, 121, 1)
c. Average of squared differences: (4520) / 20 = 226
d. Square root of the average: √226 ≈ 15.03

Standard Deviation ≈ 15.03

Now that we have the mean (69) and the standard deviation (15.03), you can compare these values to the distribution line that you draw through the data by eye. If the distribution line follows a bell-shaped curve with the mean at the center and the data points spread around it following the standard deviation, then the normal distribution provides a reasonable approximation for this data set.

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Answer:

\(9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5\)

hope helpful~

Answer:

m=-2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4/5+3/20

find the common denominator, in this case would be 20

-4/5*4/4+3/20

=-16/20+3/20

=-13/20

Answer:

-13/20

Step-by-step explanation:

Add.

-4/5 + 3/20 = -13/20

( Reduce fraction to lowest terms)

Answer: 4 side faces and one base faces I believe im sorry times a 100 if its wrong

Step-by-step explanation:

The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.

The area of the triangle formed by the line with a slope of 2 and the coordinate axes, given that the distance between the origin and the line is 5, is 25 square units.

To find the area of the triangle, we first need to determine the base and height of the triangle. The base of the triangle is the distance between the two points where the line intersects the x-axis. Since the line passes through the origin (0,0), one of the intersection points is (0,0). The other point can be found by setting the y-coordinate equal to zero and solving for the x-coordinate. In this case, the second point is (5/2, 0).

The height of the triangle is the distance between the origin and the point on the line that is perpendicular to the x-axis. Since the line has a slope of 2, the equation of the line can be written as y = 2x. To find the point of intersection between the line and the perpendicular from the origin, we can solve the equation for x when y equals 5. Substituting y = 5 into the equation, we have 5 = 2x, which gives x = 5/2.

So, the height of the triangle is 5/2. Now we can calculate the area of the triangle using the formula for the area of a triangle, which is given by A = (1/2) * base * height. Plugging in the values, we get A = (1/2) * (5/2) * (5) = 25/4 = 6.25 square units.

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Answer:

length = 10 in

width = 8 in

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Then:

36 = 2(h + w)          Eq. 1

h = 2 + w                 Eq. 2

h = length

w = width

From Eq. 1

36/2 = h + w

18 = h + w              Eq. 3

Replacing Eq. 2 in Eq. 3

18 = (2+w) + w

18 = 2 + 2w

18 - 2 = 2w

16 = 2w

16/2 = w

w = 8

From Eq. 2

h = 2 + w

h = 2 + 8

h = 10

Check:

from Eq. 1:

36 = 2(h + w)

36 = 2(10 + 8)

36 = 2*18

Answer:

Answer:(1) time between consecutive(back to back) low tide

Step-by-step explanation:

Your welcome :)

One significant change was the implementation of the New York State Tenement House Act of 1901, which required new tenement buildings to have adequate ventilation and light, indoor plumbing, and fire escapes.

During the late 19th and early 20th centuries, tenement housing in urban areas was characterized by overcrowding, poor sanitation, and inadequate ventilation.

These conditions led to high rates of disease and mortality among the working-class population that lived in them. To address these issues, the New York City Health Department instituted a series of reforms that required tenement buildings to meet certain design and construction standards.

It also mandated minimum room sizes and set limits on the number of people who could occupy a single room.

These changes helped to improve the living conditions in the worst tenements, reducing the spread of disease and improving the overall health of the city's working-class population.

While tenement housing remained a significant problem in urban areas for many years, the reforms instituted by the Health Department represented an important step towards improving the quality of life for those who lived in these buildings.

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Answer:

5

Step-by-step explanation:

we have 2 white 2 black, when you add 2 beads you have 3 white 3 black, the same ratio as before. to get 1/3 black you need 6 white 3 black so you need 3 more beads. we will have moved 5 over in total.

The cylinder with a diameter of 24 feet has a volume of approximately 6584.4 cubic feet.

How to solve the given problem?

To solve this problem, we can use the formula for the volume of a cylinder:

V = πr²h

where V is the volume, r is the radius of the base, and h is the height of the cylinder.

We are given that one cylinder has a diameter of 20 feet, which means its radius is 10 feet (diameter = 2r). We are also given that this cylinder has a volume of 7850 cubic feet. Using the formula above, we can solve for the height of the cylinder:

7850 = π(10)²h

h = 7850 / (π(10)²)

h ≈ 25

So the height of the cylinder is approximately 25 feet.

Now we can use the same formula to find the volume of the other cylinder, which has a diameter of 24 feet (radius = 12 feet):

V = π(12)²h

V = 144πh

Since the two cylinders are made of the same solid, we know that they have the same volume. Therefore, we can set the expressions for the volumes of the two cylinders equal to each other:

7850 = 144πh

h = 7850 / (144π)

h ≈ 14.49

So the height of the cylinder with a diameter of 24 feet is approximately 14.49 feet. Now we can use the formula for the volume of a cylinder to find the volume of this cylinder:

V = π(12)²h

V ≈ 6584.4

Therefore, the cylinder with a diameter of 24 feet has a volume of approximately 6584.4 cubic feet.

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Answer:

19

Step-by-step explanation: