Divide.
0.4) 29
Enter your answer as a decimal in the box.

Answer:

= 2700

Step-by-step explanation:

1300+700+700

The rumor spreads through a community at a rate described by the equation y = 1 - \(e^{(-kt)}\), where y represents the proportion of the population that has heard the rumor at time t.

The given equation y = 1 - \(e^{(-kt)}\) describes the spread of a rumor in a community over time. In this equation, y represents the portion of the population that has heard the rumor at time t, while k is a constant that determines the rate of spread. The exponential function \(e^{(-kt)}\)represents the rate at which the rumor propagates through the community. As time progresses, the value of \(e^{(-kt)}\) decreases, leading to a slower spread of the rumor. The term 1 - \(e^{(-kt)}\) calculates the proportion of the population that has not yet heard the rumor, indicating the remaining portion of the population that could potentially become aware of it in the future. The equation provides a mathematical model for understanding the dynamics of rumor spreading and allows for predictions about the spread of information within a community over time.

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Answer:

24

Step-by-step explanation:

8 times 3 TwT

Answer:

can you change this picture?

The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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(0,0) is a saddle point and (4/3,4/3) is a point relatively maximum when the function is f(x,y) = -x³+4xy-2y²+1.

Given that,

We have to find use the second derivative test to locate any critical points and decide whether each critical point is a maximum, minimum, saddle point, or none of these for the activities that follow.

f(x)=-x³+4xy-2y²+1

We know that,

Take f(x,y) = -x³+4xy-2y²+1

\(f_{x}\)=d/dx f(x,y)= -3x²+4y

\(f_{y}\)= d/dy f(x,y)= 4x-4y

for critical points, putting \(f_{x}\) and \(f_{y}\) =0

That is

\(f_{x}\)=0

-3x²+4y=0   ----->equation(1)

\(f_{y}\) =0

4x-4y=0

x=y

Then equation(1)

-3x²+4y=0

-3y²+4y=0

y=0 and y=4/3

Same x=0 and x=4/3

The critical points are (0,0) and (4/3,4/3).

Now, calculating \(f_{xx},f_{yy}, f_{xy},\)

So,

\(f_{xx}\)= -6x

\(f_{yy}\)=-4

\(f_{xy}\)=4

So, for (0,0)

\(f_{xx}\)= 0, \(f_{yy}\)=-4 \(f_{xy}\)=4

D= \(f_{xx}\). \(f_{yy}\)- \(f_{xy}\)

D= 0.(-4)-(4)²

D=-16

D<0

(0,0) is a saddle point.

So, for (4/3,4/3)

\(f_{xx}\)= -8, \(f_{yy}\)=-4 \(f_{xy}\)=4

D= \(f_{xx}\). \(f_{yy}\)- \(f_{xy}\)

D= -8.(-4)-(4)²

D=16

D>0

(4/3,4/3) is a point relatively maximum.

Therefore, (0,0) is a saddle point and (4/3,4/3) is a point relatively maximum when the function is f(x,y) = -x³+4xy-2y²+1.

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Answer:

2,800 light bulbs

Step-by-step explanation:

Hope this helps!!

Answer:

2800

Step-by-step explanation:

2%= .02 (decimal form)

56x .02=1.12

56/1.12=50

50 x 56= 2800

To check

2800 x .02= 56

:)

Sample mean of 2.4% or higher is somewhat unlikely to occur by chance alone, and may indicate that the true mean childhood asthma prevalence in the sampled cities is higher than the Population mean of 2.16%.

We can use the Central Limit Theorem (CLT), which states that the sample mean of a sufficiently large sample size from a population with any distribution will be approximately normally distributed. The mean of the sampling distribution of the sample mean will be the same as the population mean, and the standard deviation of the sampling distribution of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

In this problem, we are given that the population standard deviation sigma is 1.27%, the population mean mu is 2.16%, and the sample size n is 34. Therefore, the standard error of the sample mean is:

standard error = sigma / sqrt(n) = 1.27% / sqrt(34) = 0.218%

The probability that the sample mean is greater than 2.4%, we need to standardize the sample mean using the formula:

z = (x - mu) / standard error

where x is the sample mean. Substituting the given values, we get:

z = (2.4% - 2.16%) / 0.218% = 1.10

Using a standard normal table or calculator, we find that the probability of a standard normal random variable being greater than 1.10 is approximately 0.1379. Therefore, the probability that the sample mean is greater than 2.4% is 0.1379, or about 13.79%.

Interpreting this probability, we can say that if we take many random samples of size 34 from the population of 43 cities and compute the sample mean for each sample, about 13.79% of these sample means will be greater than 2.4%. This suggests that a sample mean of 2.4% or higher is somewhat unlikely to occur by chance alone, and may indicate that the true mean childhood asthma prevalence in the sampled cities is higher than the population mean of 2.16%.

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Answer:

The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds

Step-by-step explanation:

Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet

Answer:

30

Step-by-step explanation:

Answer:

r ≈ 4

Step-by-step explanation:

circle = 360 degrees

360 / 90 = 4

let's call the area of triangle XYZ + the shaded area portion A

because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area

total area of circle = πr²

XY = YZ = radius

thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)

thus, area of triangle XYZ = r*r/2 = r²/2

area A = r²/2 + 4.64

4 * A = total area of circle

4(r²/2+4.64) = πr²

2r²+18.56 = πr²

subtract 2r² from both sides to put all the variables on one side

(π-2)r² = 18.56

divide both sides by (π-2) to isolate r²

18.56/(π-2) = r² ≈ 16.258

r ≈ 4.032 ≈ 4

Eric will need at least 6 cans of finish to cover the entire outside of the box with three coats.

To find the minimum number of cans of finish needed for the job, we first need to calculate the total surface area of the box that will be covered with the finish.

The box has a length of 42 inches, a depth of 24 inches, and a height of 20 inches. To find the total surface area, we can use the formula for the surface area of a rectangular prism:

Surface area = 2(length x width + width x height + height x length)

Surface area = 2(42 x 24 + 24 x 20 + 20 x 42)

Surface area = 2(1008 + 480 + 840)

Surface area = 6656 square inches

Since the finish will be applied in three coats, we need to multiply the total surface area by three to get the total area of finish needed:

Total area of finish = 3 x 6656 square inches

Total area of finish = 19968 square inches

Now we can convert the total area of finish from square inches to square feet by dividing by 144:

Total area of finish = 19968 square inches / 144 = 138.67 square feet

Since each can of finish covers about 27.5 square feet, we can calculate the minimum number of cans needed by dividing the total area of finish by the coverage of each can:

Minimum number of cans = 138.67 square feet / 27.5 square feet per can

Minimum number of cans = 5.04 cans

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Answer:

-42

Step-by-step explanation:

8 + (-10)5 = 8-50 = -42

The function is conformal everywhere except at infinity since e^(az) is an entire function.

1. For the functions f(z) = u + iv:
(a) f(z) = 1/2: Since the function is a constant, there are no level curves. It is not conformal since it doesn't preserve angles.
(b) f(z) = 1/22: Similarly, this function is a constant, and there are no level curves. It is not conformal.
(c) f(z) = 20: As another constant function, there are no level curves. It is not conformal.
2. For f(2) = Log z = u + iv:
The level curves of u (real part) are concentric circles centered at the origin, while the level curves of v (imaginary part) are radial lines emanating from the origin. This sketch corresponds to a complex logarithm function and is conformal everywhere except at the origin, where it is undefined.
3. For the functions f(z) = u + iv:
(a) f(z) = e^z: The level curves of u and v are orthogonal (intersect at right angles) and create a grid pattern. The function is conformal everywhere except at infinity, as e^z is an entire function.
(b) f(z) = e^(az), where a is complex: The level curves of u and v create a grid pattern, which is rotated and scaled according to the value of a. The function is conformal everywhere except at infinity since e^(az) is an entire function.

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Answer:

We need the scenario.

Step-by-step explanation:

Generally the independent variable is the thing you are changing and the dependent variable is being changed based on the independent variable.

Ex:

y= x+1

x is the independent variable because you can put in whatever value you want in and y is the dependent variable because its value depends on what you choose for x if that makes sense. I would need you scenario to be able to tell you exactly what it is.

Answer:

For the first one test score

For the second  one it's y-axis

Step-by-step explanation:

I just did the assignment

The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.

By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.

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The distance d that the spot of paint has moved in 2 seconds if the radius of the wheel is 50 centimeters is 100π centimeters.

To find the distance that the spot of paint has moved in 2 seconds, we need to find the linear speed of the spot of paint. We know the radius of the wheel, and we just found the angular speed of the wheel. So, we can substitute those values in the formula to get:

Linear speed = 50 × π

Linear speed = 50π centimeters per second

Now, we can find the distance that the spot of paint has moved in 2 seconds by using the formula:

Distance = speed × time

We just found that the linear speed of the spot of paint is 50π centimeters per second, and the time taken is 2 seconds.

So, we can substitute those values in the formula to get:

Distance = 50π × 2Distance = 100π centimeters

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It can be concluded that the new reading program has had some impact on the reading speed of the second-grade students.

However, it is not possible to determine the extent of this impact without additional information. The mean reading speed of 92.8 words per minute suggests that the students have improved their reading speed, but it is unclear how much improvement has been made.

It is important to note that the sample size of 20 students may not be representative of the entire population of second-grade students in the school, so caution should be taken when drawing generalizations about the effectiveness of the reading program.

Further analysis, including the use of a control group and a larger sample size, would be necessary to determine the true impact of the reading program. Nonetheless, the initial results are promising and suggest that the program should be continued and possibly expanded.

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Answer:

-18

Step-by-step explanation:

The absolute value is only on the 9, and the absolute value of positive 9 is positive 9. Multiply by negative 2 and you get -18.

The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

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Triangles PQR and XYZ are similar.

A triangle is a closed figure bounded by three straight lines. A triangle is denoted by the symbol ∆. In the figure, XYZ is a triangle with XY, YZ and ZX as sides and X, Y, Z are called the vertices of the triangle XYZ. ∠1,∠2 and ∠3 are the interior angles. The sum of the three interior angles of a triangle is 180°.

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Answer:

can you take a photo of the question and put it on here because I cannot understand what this is, I am really good at math so I probably help you.

Step-by-step explanation:

Answer:

An expression for this would be 3y as length * breadth is the area of a rectangle.

The ratio of the leading coefficients and the equation of the horizontal asymptote is degree of numerator and denominator is equal.

The term coefficients in math is defined as the coefficient of the term of highest degree in a polynomial.

Here we have given that  the ratio of the leading coefficients and the equation of the horizontal asymptote.

The term horizontal asymptote is known as  a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.

As we all know that if the degree of the numerator is equal to the degree of the denominator, then the horizontal asymptote is equal to the ratio of the leading coefficients.

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Answer:

Henry can download at most 225 MB more.

Step-by-step explanation:

The capacity of Henry's MP3 player is 512MB. He has downloaded 287MB and will continue to download m more megabytes.

Since the capacity of the player is 512MB. The used memory plus 287MB cannot be greater than 512MB, thus the inequality that shows how many more megabytes he can download are:

m + 287 ≤ 512

Solving:

m  ≤ 512 - 287

m  ≤ 225

Henry can download at most 225 MB more.

Answer:

the answer to the question is -75

Answer:

-75

Step-by-step explanation:

-55+(-10)-10

-55-20

-75

The greatest acceleration when the unbalanced force is applied will be experienced by the least weighted box ( i.e., the mass of 2 kg)

Acceleration: it is defined as rate of change of velocity with respect to time.

Unbalanced Force:  it means that the force applied in one direction is greatest than the force applied in the opposite direction.

Given that, F = 8n.

let us assume that the boxes are of 2kg, 4 kg, 6 kg and 8 kg.

According to the 2nd law of motion: the external unbalanced force is directly proportional to rate of change of momentum or Force is equal to the product of mass and acceleration.

                         F = m × a

                 ⇒     a = F/ m

where,  F is Force, m is mass and a is acceleration.

Now, acceleration of the box of 2kg = 8÷2 = 4 m/s²

         acceleration of the box of 4kg = 8÷ 4 = 2 m/m²

         acceleration of the box of 6 kg = 8÷ 6 = 1.34 m/s²

         acceleration of the box of 8kg = 8÷ 8 = 1 m/s²

∴ the box with mass of 2kg experience the greatest acceleration.

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Each bag would have3.5 kilograms of delicacy.

Kilograms( kg) are a unit of dimension for mass or weight. It's the base unit of mass in the International System of Units( SI). One kilogram is defined as the mass of a particular cylinder made of platinum- iridium amalgamation, which is kept at the International Bureau of Weights and Measures in France. The kilogram is used to measure the mass of objects and is generally used in everyday life to measure the weight of effects like people, creatures, and food, as well as in scientific and artificial settings to measure the mass of chemicals, accoutrements, and ministry.

Given by the question.

Given by the question.

To split 14 kilograms of candy into 4 bags, you need to divide the total amount of candy by the number of bags:

14 kg ÷ 4 = 3.5 kg

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The probability that it is in a winning position will be 0.8036.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A coin that is 2 cm in diameter is tossed onto a grid of squares each having a side length of 4 cm. A coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position.

Then the probability of winning is calculated as,

P = [a² - πd² / 4] / (a²)

P = [4² - 3.14 x 2² / 4] / (4²)

P = (16 - 3.14) / 16

P = 0.8036

The probability that it is in a winning position will be 0.8036.

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