Subtract the expressions.

(5.62n − 2.8) − (4 + 14.3n)

A.19.92n + (−1.2)
B. 8.42n − 18.3
C. −8.68n − 6.8
D. −86.80n − 0.8

The fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias.

The fundamental difference between a sample survey of human beings that may suffer from nonresponse and data using a volunteer sample is the way participants are selected and the potential biases that may arise.
In a sample survey, a random selection of individuals is chosen from the target population. However, nonresponse can occur when some of these selected individuals fail to participate or provide incomplete information. This can lead to nonresponse bias, which affects the representativeness of the sample and the accuracy of the results. To minimize nonresponse bias, researchers should ensure that their survey design and data collection methods encourage participation and provide clear instructions for respondents.
On the other hand, a volunteer sample consists of participants who willingly choose to participate in the study, usually in response to an open invitation. This approach is more prone to selection bias, as the individuals who volunteer may not be representative of the target population. They may have certain characteristics or attitudes that motivated them to participate, leading to biased results that may not generalize to the broader population. To address selection bias, researchers should carefully consider the recruitment method and the potential impact of volunteerism on their findings.
In summary, the fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias. Researchers must be mindful of these biases when designing and conducting their studies.

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The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

\(\frac{10}{21}\)

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\(\frac{3(3)}{14(3)}\) + \(\frac{2(2)}{21(2)}\) + \(\frac{1(7)}{6(7)}\)

= \(\frac{9}{42}\) + \(\frac{4}{42}\) + \(\frac{7}{42}\) ← add the numerators, leaving the denominator

= \(\frac{9+4+7}{42}\)

= \(\frac{20}{42}\) ← divide both values by 2

= \(\frac{10}{21}\) ← in simplest form

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer:

of what???????..???..

(a) The sum of everyone's utilities is highest when 2,000 people go After and the rest go Before is not a Nash Equilibrium beacuse it doesn’t meet the criteria for Nash Equilibrium.

(b) The Nash equilibrium number of After 7am drivers is 4000.

(c) A congestion charge of 20 for drivers going after can solve the discrepancy between a and b, as the Nash equilibrium is now met with the 2000 drivers entering after 7 am, and 4000 entering before 7 am.

a) No, it is not a Nash Equilibrium.

Nash Equilibrium is a set of strategies that make sure that no player can improve their own utility by unilaterally changing their strategy.

Therefore, let’s say that all players choose to follow the strategy of entering After 7 am, given that N>4000 people want to drive into Central London. In this scenario, everyone’s utility would be as follows:

u(After) = 50 – 0.01N

However, if a single person changes his strategy and chooses to enter Before 7 am instead, his utility would be 10 instead of the previous 0 (as he is still affected by the congestion even if he enters after).

Thus, the new utility for the person who switched would be greater than what they would have gotten before.

Therefore, this scenario doesn’t meet the criteria for Nash Equilibrium.

b) The Nash equilibrium number of drivers entering after 7 am can be found by the following formula:

50-0.01N=10

40=0.01N

N=4000

which means 4000 people should choose to go Before 7 am, and the rest should go After 7 am.

c) A congestion charge of 20 for drivers going after can solve the discrepancy between a and b.

Let’s say the congestion charge is C. In this case, the utility of entering After 7 am would be

u(After)

=30-0.01(N-A)+20

= 50-0.01N+20-0.01A-20 50-0.01N-0.01A-20 30-0.01N-0.01A

Thus, the Nash Equilibrium number of drivers entering after 7 am would be as follows:

30-0.01N-0.01A=10

20=0.01A

A=2000

N = 4000+2000

N = 6000

Therefore, a congestion charge of 20 for drivers going after can solve the discrepancy between a and b, as the Nash equilibrium is now met with the 2000 drivers entering after 7 am, and 4000 entering before 7 am.

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Answer:

f(x)=x²-4x+2

f(-1)= (-1)²-4(-1)+2

= 1+4+2

=7

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

A C D

Step-by-step explanation:

Answer:

A C D

Step-by-step explanation:

Answer:

Figure 1: 4

Figure 2: 8

Figure 3: 16

Figure 4: 20

Step-by-step explanation:

Go around each figure and count how many cube lengths it takes to go around.

The vectors are linearly independent precisely when the determinant of the matrix formed by the vectors is non-zero.

Let's denote the given vectors as v1, v2, and v3, where v1 = [a, b, c], v2 = [d, e, f], and v3 = [g, h, i]. To determine if these vectors are linearly independent, we need to check the determinant of the matrix formed by these vectors:

| a  b  c |

| d  e  f |

| g  h  i |

If the determinant of this matrix is non-zero, then the vectors are linearly independent. On the other hand, if the determinant is zero, the vectors are linearly dependent.

In summary, the vectors are linearly independent precisely when the determinant of the matrix formed by the vectors is non-zero. This condition ensures that no scalar multiples of the vectors can add up to the zero vector, indicating independence.

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Answer:

456

Step-by-step explanation:

Answer:

Si la pendiente (\(m\)) disminuye 3 unidades, entonces tenemos que \(y = -4\).

Step-by-step explanation:

Sea la función lineal \(d(x) = 3\cdot x - 4\), una función está definida por la siguiente expresión matemática:

\(y = m\cdot x + b\) (1)

Donde:

\(x\) - Variable independiente.

\(y\) - Variable dependiente.

\(m\) - Pendiente.

\(b\) - Intercepto.

Por comparación directa, tenemos que \(y = d(x)\), \(m = 3\) y \(b = -4\). Si \(m\) disminuye en 3 unidades, entonces tenemos la siguiente ecuación lineal:

\(y = -4\)

The horizontal asymptote of f (if any). 4x²-7x+8 f(x)= 2x²+1 is

lim f(x) as x approaches infinity = 2

lim f(x) as x approaches negative infinity = 2

Horizontal asymptote of f(x): y = 2

To evaluate the limits of f(x), we consider the highest power terms in the numerator and denominator of the rational function.

For lim f(x) as x approaches infinity, both the numerator and denominator have a leading term of 4x². Dividing the leading terms, we get 4x²/2x², which simplifies to 2. Therefore, the limit is 2 as x approaches infinity.

For lim f(x) as x approaches negative infinity, again both the numerator and denominator have a leading term of 4x². Dividing the leading terms, we get 4x²/2x², which simplifies to 2. Therefore, the limit is 2 as x approaches negative infinity.

The horizontal asymptote of f(x) is determined by the limits as x approaches infinity or negative infinity. In this case, both limits are equal to 2. Hence, the horizontal asymptote of f(x) is the line y = 2.

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

a) £108
btw i use sparx maths too

Step-by-step explanation:

Answer:

∠ S = 15°

Step-by-step explanation:

the secant- secant angle S is half the difference of the measures of the intercepted arcs, then

∠ S = \(\frac{1}{2}\) (AC - EN) = \(\frac{1}{2}\) (60 - 30)° = \(\frac{1}{2}\) × 30° = 15°

Answer:

15°

Step-by-step explanation:

1) No, Brianna is not correct.

2)The distance around a pool is 131.4 ft.

1) Semi-circle with a diameter equal to the side opposite it, 20 ft.

Circumference of semi-circle = (1/2)* (π *d)

Where:

π = 3.14

d = 20 ft.

Circumference of semi-circle = (1/2)* (3.14) *(20 ft) = 31.4 ft.

So, Brianna is not correct.

2)Vertical lengths from the endpoint of the semi-circle to the endpoints of horizontal lengths, 40 ft each ⇒ 2 × 40 ft. = 80 ft.

Horizontal length at 20 ft.

Add the semi-circle, vertical, and horizontal lengths:

Distance around the pool = 31.4 ft + 80 ft. + 20 ft.

Distance around the pool = 131.4 ft.

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Answer:

= $20.

Step-by-step explanation:

items pay now = x

40 : 100 = x : 50

40/100 = x/50

40× 5o = 100x

2000 = 100x

2000/100 = 100x/100

$20= x

therefore you pay $20 item that used to cost $50.

Graph of given system of equations is shown in figure with intersection point (2, 4).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equation is,

⇒ 2x + y = 8

⇒ - x + 2y = 6

By solving both equation , we get;

⇒ (x, y) = (2, 4)

Thus, The graph of system of equation intersect on point (2, 4).

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f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.

f(x) is continuous for all values of x. This means that the function can be evaluated for any real number, including both rational and irrational numbers.

For rational numbers, f(x) = 0. This is because rational numbers can be expressed as a fraction, and when a fraction is divided by itself, the result is always 1. We can express this mathematically as f(x) = x/x = 1 * 0 = 0.

For irrational numbers, f(x) = 7. This is because an irrational number cannot be expressed as a fraction, and so when an irrational number is divided by itself, the result is undefined. In this case, we can define f(x) as 7, since it is a constant value that is independent of the value of x. We can express this mathematically as f(x) = x/x = undefined * 7 = 7.

Therefore, f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.

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\(\\ \sf\longmapsto x+2x+90=180\)

\(\\ \sf\longmapsto 3x+90=180\)

\(\\ \sf\longmapsto 3x=180-90\)

\(\\ \sf\longmapsto 3x=90\)

\(\\ \sf\longmapsto x=\dfrac{90}{3}\)

\(\\ \sf\longmapsto x=30\)

Now

\(\\ \sf\longmapsto x=2y\)(Opposite interior angles)

\(\\ \sf\longmapsto 2y=30\)

\(\\ \sf\longmapsto y=\dfrac{30}{2}\)

\(\\ \sf\longmapsto y=15\)

And

\(\\ \sf\longmapsto x+z=180\)

\(\\ \sf\longmapsto z+30=180\)

\(\\ \sf\longmapsto z=180-30\)

\(\\ \sf\longmapsto z=150\)

Answer:

Straight angle is 180°:

Alternate interior angles are congruent:

Consecutive interior angles are supplementary:

Alternate interior angles:

Sum of interior angles of a triangle:

The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

a)

The given condition makes a right-angle triangle as shown below,

The tan function,

tanθ = 6/25

θ = 14.50°

b)

When a player is 5 feet closer means (20 feet far)

tanθ = 6/20

θ = 16.70°

c)

As the player gets closer the angle becomes more and more.

Hence "The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases".

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If a number cube is rolled 25 times and 6 appears only four times, then the experimental probability of getting 6 is 4/25.

The experimental probability of an event happening is the number of times the event occurred divided by the total number of trials. In this case, a number cube is rolled 25 times and lands on 6 four times. Here are the steps to determine the experimental probability of landing on 6:

So, the experimental probability of landing on 6 is 4/25, which means that if we roll the number cube many more times, we would expect to get a 6 approximately 4 out of every 25 rolls.

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There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

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Joel would have to work for 15 weekends.

The number of weekends that Joel has to work to earn the same as Sue is represented by X.

Joel earnings per weekend: $40

Sue earnings per weekend: $30

To get number of weekends Joel needs to work, we will set up the equation:

40x = 150 + 30x

40x - 30x = 150

10x = 150

x = 150/10

x = 15

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Answer:

Slope of the line y = x + 10 is 1. So, any straight line perpendicular to this must be having slope of (-1).

Let, the line be y = - x + b and it passes through (15, -5).

So, 15 = 5 + b

b = 10.

So, equation of that line: y = -x + 10

Or, x + y = 10.

Y-intercept of the line = 10 units.

Answer:

y= -x+10

Step-by-step explanation:

The general equation of a line is

y=mx+b where m is the slope and b is the y-intercept.

The given equation is

y= x+10, where m =1 is the slope and b=10 is the y-intercept

To know: Perpendicular lines have their slope negative reciprocal

y = - x+b is the line ⊥to the given line that has the slope m= -1

To find the y-intercept use the given point (15, -5)

    -5 = -15 +b

-5+15 = b

    10 = b

So the equation of the line that is perpendicular to the line y= x+10 and passes through the point (15,-5) is y= -x +10

Answer:

D

Step-by-step explanation:

A unit rate is basically which one increases more as time goes on. Now. to make it easier let me explain visual.

You have 50 apples at the start and every hour you get 200 more apples, sweet!

Now let's look at the chart.

The first one is 200x+100, this is wrong since this has a better start but you don't get as much apples.

Same goes for the B and C. The only one that would make sense is D since you're also adding 10 more apples for each one you increase.

All the items are in the correct order as follows:

Order from least to greatest:

4, 2, 3, 1

The reason for the order from least to greatest is based on the number of possible combinations in each situation.

Neither the letters nor the numbers can be repeated: In this situation, there are 26 choices for the first letter, 25 choices for the second letter (since the first letter has already been chosen and cannot be repeated), 8 choices for the first digit (since it can be any number from 1 to 9), 7 choices for the second digit (since the first digit has already been chosen and cannot be repeated), and 6 choices for the third digit. Therefore, the total number of possible combinations is 26 x 25 x 8 x 7 x 6 = 1,872,000.

The letters can repeat, but the number cannot repeat: In this situation, there are 26 choices for each letter and 9 choices for each digit. Therefore, the total number of possible combinations is 26 x 26 x 9 x 8 x 7 = 328,968.

The number can repeat, but the letters cannot repeat: In this situation, there are 26 choices for the first letter, 25 choices for the second letter, and 9 choices for each digit. Therefore, the total number of possible combinations is 26 x 25 x 9 x 9 x 9 = 5,565,750.

The letter "O" cannot be used but there are no restrictions on repeating the other letters or numbers: In this situation, there are 25 choices for each letter (since "O" cannot be used) and 9 choices for each digit. Therefore, the total number of possible combinations is 25 x 25 x 9 x 9 x 9 = 15,506,250.

Based on the above calculations, the order from least to greatest is 4, 2, 3, 1.

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The text format of the question in the picture:

Use the arrows to move each item into the correct order. Click the up arrow to move the item up, or click the down mow to move the them down. Once all the items are in the correct order, submit your response.

A bike license consists of 2 letters, using any of the 26 letters in the alphabet, followed by 3 digits from 1 to 9. Calculate the number of possible license plates in each situation, then, order them from least to greatest.

The letters can repeat, but the number cannot repeat

The number can repeat, but the letters cannot repeat

Neither the letters nor the numbers can be repeated

The letter "O" cannot be used but there are no restrictions on repeating the other letters or numbers.