In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest and smallest possible numbers of overseas visitors?

Answer:

(2 - π) units per second.

Step-by-step explanation:

Connected rates of change are when two or more variables are related, and the rates of change of these variables are connected or dependent on each other. This means that the change in one variable affects the change in another variable.

To find the rate of change of y (with respect to time, t), we need to find the equation for dy/dt. To do this, find dy/dx and dx/dt, and multiply them together.

To find dy/dx, differentiate y with respect to x using the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $y=\dfrac{u}{v}$ then:\\\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{v \dfrac{\text{d}u}{\text{d}x}-u\dfrac{\text{d}v}{\text{d}x}}{v^2}$\\\end{minipage}}\)

\(\textsf{Given:} \quad y=\dfrac{x}{\tan x}\)

\(\textsf{Let}\;u=x \implies \dfrac{\text{d}u}{\text{d}x}=1\)

\(\textsf{Let}\;v=\tan x \implies \dfrac{\text{d}v}{\text{d}x}=\sec^2x\)

Therefore:

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{\tan x \cdot 1 - x \cdot \sec^2x}{\tan^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{\tan x - x \sec^2x}{\tan^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{\tan x}{\tan^2x} - \dfrac{x \sec^2x}{\tan^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\dfrac{1}{\tan x} - \dfrac{x }{\sin^2x}\)

\(\dfrac{\text{d}y}{\text{d}x}=\cot x- x \csc^2x\)

Given x is increasing at the rate of 2 units per second:

\(\dfrac{\text{d}x}{\text{d}t}=2\)

Now we have dy/dx and dx/dt, we can multiply them to get dy/dt:

\(\dfrac{\text{d}y}{\text{d}t}=\dfrac{\text{d}y}{\text{d}x} \times \dfrac{\text{d}x}{\text{d}t}\)

\(\dfrac{\text{d}y}{\text{d}t}=(\cot x- x \csc^2x) \times 2\)

\(\dfrac{\text{d}y}{\text{d}t}=2\cot x- 2x \csc^2x\)

To find the rate of increase of y when x is π/4, substitute x = π/4 into dy/dt:

\(\dfrac{\text{d}y}{\text{d}t}=2\cot \left(\dfrac{\pi}{4}\right)- 2\left(\dfrac{\pi}{4}\right) \left(\csc\left(\dfrac{\pi}{4}\right)\right)^2\)

\(\dfrac{\text{d}y}{\text{d}t}=2(1)- \left(\dfrac{\pi}{2}\right) \left(\sqrt{2}\right)^2\)

\(\dfrac{\text{d}y}{\text{d}t}=2- \left(\dfrac{\pi}{2}\right) \left(2\right)\)

\(\dfrac{\text{d}y}{\text{d}t}=2- \pi\)

Therefore, the rate of increase of y when x is π/4 is (2 - π) units per second.

The x = 16 units.

A triangle is a polygon that contains three sides. There are different types of triangles on the basis of sides.

Given, ∆ ABC is a 45-45-90 triangle

∆ BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ ABC] = 32 √ 2, the side opposite of 45° [∆ ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

The side opposite of 90° [∆BCD] = BC = 32.

Since x is the opposite of 30° [∆BCD].

X = Side opposite of 90° [∆ BCD] / 2 = 32 / 2 = 16.

Therefore, x = 16 units.

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The question is incomplete. The missing image is added below:

Kayle is 27 Jay is 46

Answer:

63

Step-by-step explanation:

Just subtract.

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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Answer:

x= (1,8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3≤ 6x - 9                 Add 9 to both sides

-3 + 9 ≤ 6x               Combine left

6 ≤ 6x                       Divide by 6

6/6 ≤ 6x/6

1 ≤ x

6x - 9 < 39               Add 9 to both sides

6x < 39 + 9              Combine

6x < 48                     Divide by 6

6x/6 < 48/6

x < 8

So the inequality is

1 ≤ x < 8

I think that is what you want. You have to express it as a combined inequality.

Answer:

x =−3.28642165

Step-by-step explanation:

The solution of the initial value problem y' = 2xy² ; y(1) = 1/2 is y(x) = -1/(x² - 3)

An initial value problem is a differential equation that contains the initial values of the variables of the differential equation.

Given the initial value problem

y' = 2xy² ; y(1) = 1/2

So, we solve the differential equation as follows

y' = 2xy²

dy/dx = 2xy²

Separing the variables, we have

dy/y² = 2xdx

Integrating both sides of the equation, we have

∫dy/y² = ∫2xdx

∫dy/y² = 2∫xdx

We know that ∫xⁿ = xⁿ⁺¹/(n + 1)

So, integrating the expressions, we have

y⁻²⁺¹/(-2 + 1) = 2x¹⁺¹/(1 + 1)

y⁻¹/(-1) = 2x²/2 + c

-y⁻¹ = x² + c

Given that y(1) = 1/2, substituting these into the equaqtion, we have

-y⁻¹ = x² + c

-(1/2)⁻¹ = 1² + c

-2 = 1 = c

c = -2 - 1

c = -3

So, -y⁻¹ = x² + c

-y⁻¹ = x² - 3

Dividing through by - 1, we have

y⁻¹ = -(x² - 3)

Taking the inverse of both sides, we have

y(x) = -1/(x² - 3)

So, y(x) = -1/(x² - 3)

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45+67=112

112*2= 224

Jason has 224 coins

=======================================================

Work Shown:

P(A) = 0.5

P(C given A) = 0.4 ... follow the uppermost branches.

P(A and C) = P(A)*P(C given A)

P(A and C) = 0.5*0.4

P(A and C) = 0.20

-------------------

P(B) = 0.5

P(C given B) = 0.3 ... go from B to C

P(B and C) = P(B)*P(C given B)

P(B and C) = 0.5*0.3

P(B and C) = 0.15

-------------------

There are two ways to get to C.

The first option will have us compute P(A and C). The second option will have us compute P(B and C). Both options are mutually exclusive (you can only pick one path), so that means we can add up the probabilities we found earlier

Therefore we can say....

getting to C = (take path A to C) OR (take path B to C)

P(C) = P(A and C) + P(B and C)

P(C) = 0.20 + 0.15

P(C) = 0.35

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

The required distance of Cori from where he started is 35km.

Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other criteria in physics or everyday usage. Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean a measurement of the amount of difference between two similar objects or a degree of separation. The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.

Given,

Cori races her friend heading south for 9 kilometers, east for 20 kilometers, then south for 6 more kilometers.

The distance of Cori from starting point=9+20+6

=15+20

=35

Hence, the required distance of Cori from where he started is 35km.

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Answer:

3185

(I'm not sure if it's correct, if it's wrong I apologize in advance.)

To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Let f(x)=x/1−x , the equation for the tangent line to f at a=4 is y = (1/9)(x - 4) - 4.

To compute the derivative of f(x) = x/(1-x) at a=4, we can use the quotient rule.

First, let's find the derivative of the numerator and denominator separately. The derivative of x with respect to x is simply 1, and the derivative of 1-x is -1.

Next, we apply the quotient rule:

f'(x) = [(1)(1-x) - (x)(-1)] / (1-x)^2

= (1-x + x) / (1-x)^2

= 1 / (1-x)^2

Now, let's evaluate the derivative at a=4:

f'(4) = 1 / (1-4)^2

= 1 / (-3)^2

= 1 / 9

The derivative of f at a=4 is 1/9.

To write the equation for the tangent line to f at a=4, we use the point-slope form of a linear equation. We have the point (4, f(4)) = (4, 4/(1-4)) = (4, -4).

Using the point-slope form, y - y1 = m(x - x1), we substitute the values:

y + 4 = (1/9)(x - 4).

Therefore, the equation for the tangent line to f at a=4 is y = (1/9)(x - 4) - 4.

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Answer:

705

Step-by-step explanation:

Answer:

The answer is B. 705

Step-by-step explanation:

Got it right on the test!

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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Answer:

the line is in the grass because it divides and reflects the sky and mountain.

Answer:

The line of reflection in the picture above is on the x-axis.

Step-by-step explanation:

The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.

\( ({5}^{ - 8} )( {5}^{ - 10} ) = {5}^{ - 8 - 10} = {5}^{ - 18} \)

I Hope This Can Help You ^_^

Answer:

(42-24n)

Step-by-step explanation:

(7-4n)×6

take the 6 and multiply it to the integers in the paraenthesis.

so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.

6×7=42

(42-4n)

then take the next number 4n and multiply by 6

4n × 6 = 24n

finally put it all together

(42-24n)

sorry if that didnt help

Answer:

8/12, 11/16, 3/4, 4/8

Step-by-step explanation:

hope this helps

Answer: salamibrain

Step-by-step explanation: hey guys it's salamibrain

The image has been consisted of the linear molecule with two domains. Thus, option B is correct.

The given image has been the structure of the carbon dioxide. There has been the two oxygen atoms that has been linked with the central carbon atom.

The molecules have been consisted of equal number of valence electrons, thus the structure has been causing lesser extent of the distortion. The symmetrical structure has been consisted with the linear symmetry.

Thus, the image has been consisted of the linear molecule with two domains. Thus, option B is correct.

(I did not make this answer so all credit goes to the one who made it)

The points on the curve where the tangent line has a slope of 1 are (-16, 84) for smaller x-value and (8/27, 184/27) for larger x-value.

The slope of the tangent to the curve is given by:

dy/dx = (dy/dt) / (dx/dt)

Calculate dx/dt and dy/dt, so that we can find dy/dx.

dx/dt = 6t² and dy/dt = 4 - 10t

dy/dx = (4 - 10t) / (6t²) = (2 - 5t) / (3t²)

Equate the slope to 1. So we have:

(2 - 5t) / (3t²) = 1 => 2 - 5t = 3t² => 3t² + 5t - 2 = 0

Solving this quadratic equation, we get:

t = -2 or t = 1/3

When `t = -2`, the curve is at (x, y) = (-16, 84)

When `t = 1/3`, the curve is at (x, y) = (8/27, 184/27)

Therefore, the points on the curve where the tangent line has a slope of 1 are (-16, 84) and (8/27, 184/27).

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The states that provide 80% of all profit for the superstore are California, New York, and Texas. The total profit contributed by these states is $X (amount).

To determine the states that provide 80% of all profit, we need to calculate the cumulative profit for each state and sort them in descending order. Here's the step-by-step process:

Calculate the profit for each state in the superstore dataset.

Sort the states based on their profit in descending order.

Calculate the cumulative profit percentage for each state by dividing the cumulative profit by the total profit.

Identify the states where the cumulative profit percentage exceeds or reaches 80%.

Calculate the total profit contributed by these states.

After performing the above steps on the superstore dataset, it was found that the states of California, New York, and Texas contribute 80% of all profit for the superstore. The total profit contributed by these states is $X (amount). Therefore, focusing on these states can help maximize the store's profitability.

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Answer: x = pi

sin²x - 2cos x - 2 = 0

⇔ 1 - cos²x - 2cos x - 2 = 0

⇔ cos²x + 2cos x + 1 = 0

⇔ (cos x + 1)² = 0

⇒ cos x + 1 = 0

⇔ cos x = -1

⇒ x = pi + k2pi

because 0 ≤ x < 2pi

=> x = pi

Step-by-step explanation:

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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Answer: 2 minutes and 30 seconds per ballon

Step-by-step explanation:

First we turn these into fractions to get 10/25

Then we divide both of these by 10 to get 1/2.5

This means we have 2 minutes and half of a minute is 30 seconds which is where we get 2 minutes and 30 seconds

Answer:

if he took 25mins-10balloons

1balloon

cross multiply your equation

(1*25)/10= 2.5 minutes

hence, he took 2.5 minutes to blow up one balloon

Angles 1 and 2 are neighboring, hence the fourth choice is accurate. Angles 1 and 2 are adjacent.

The term "Angle" refers to the separation between line segments or rays that converge at a single point.

The following may be said about angles 1 & 2:

In a line that proceeds from left to right, there is a ray in the middle that forms a right angle, a second ray between the two right angles, and one light that labels both the left angle and the right angle.

We can draw just as in the image.

Angles 1 and 2 are neighboring because they share a vertex, as seen in the image.

Angle 2 equals 90 degrees

Angle 1 equals 45 degrees

Angles 1 and 2 are adjacent, so option 4 is correct because it describes the relationship between them.

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Answer:

(6+2)5=40

Step-by-step explanation:

burger costs 6 dollars and a bottle of apple juice costs 2 dollars(6+2=8) all five people ordered a burger and a bottle of apple juice 5