Which situation does the integer -6 best represent?
A. 6 yards behind the winner
B. 6 feet above the ground
C. Finding 6 dollars in a pocket
D. Earning 6

The given statement " One of the major disadvantages of a questionnaire is that there is no guarantee that the respondents are representative" is true because respondents may self-select to participate in the survey, meaning that the sample may not accurately reflect the views of the wider population.

Additionally, some respondents may not respond truthfully or may not take the questionnaire seriously, which can also affect the representativeness of the sample. For example, respondents may answer questions in a socially desirable way or may not fully understand the questions being asked.

To minimize these risks, researchers should use a rigorous sampling method to select participants for the survey and ensure that the questions are clear and easy to understand. They should also consider using multiple methods of data collection to gather a more comprehensive understanding of the target population.

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Step 1

Write the expression for the current value of the vehicle in any given year

Step 2

Substitute and get the price of the vehicle after 10 years

To the nearest whole number the cost of the vehicle after 10 years = $10,860

The simplified form of the given expression is 4p⁷/q.

The given expression is 4p⁵q³×p²q⁻⁴.

Using the exponential law, aⁿ×aˣ=aⁿ⁺ˣ, we get

4(p⁵×p²)(q⁻⁴×q³)

= 4p⁵⁺²q⁻⁴⁺³

= 4p⁷q⁻¹

= 4p⁷/q

Therefore, the simplified form of the given expression is 4p⁷/q.

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Answer:

12

Step-by-step explanation:

8+8+9+11+24=60

60/5=12

\(\huge\textsf{Hey there!}\)

\(\large\text{Well, you know that mean means average. You have to find the}\\\large\text{sum of all of the number in the data set and divide the sum by}\\\large\text{by the total numbers in the data.}\)

\(\mathsf{\dfrac{8+8+9+11+24}{5}}\)

\(\mathsf{8 + 8 + 9 + 11 + 24}\\\mathsf{8 + 8 = \boxed{\bf 16}}\\\mathsf{= 16 + 9 + 11 + 24}\\\mathsf{16 + 9 = \boxed{\bf 25}}\\\mathsf{= 25+11+24}\\\mathsf{25+11=\boxed{\bf 36}}\\\mathsf{36+ 24}\\\boxed{= \mathsf{\bf 60}}\)

\(\mathsf{\dfrac{60}{5}}\\\\\\\mathsf{= \dfrac{60\div5}{5\div5}}\\\\\\\mathsf{= 60\div5\rightarrow\boxed{\bf 12}}\\\\\\\mathsf{= 5\div5\rightarrow\boxed{\bf 1}}\\\\\mathsf{\rightarrow \dfrac{12}{1}= \boxed{\bf 12}}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge Your \bf {MEAN is 12}}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

To sketch a graph of y = f(x) that satisfies the given requirements on the interval 0 <= x <= 10, we need to have more information about the specific requirements of the function.  However, we can make some general suggestions for how to approach the problem.

First, we should determine the type of function we are dealing with. Is it linear, quadratic, exponential, trigonometric, or some other type of function? This will affect the shape of the graph and give us an idea of how to start plotting the points.

Next, we should consider any specific points or features that we need to include in the graph. For example, if the function needs to pass through a certain point or have a certain slope, we can use this information to determine additional points on the graph.

Finally, we should make sure that the graph satisfies the given interval of 0 <= x <= 10. This means that the graph should not extend beyond this range, and any points outside of this interval should be excluded.

Overall, to sketch a graph of y = f(x) that satisfies the given requirements on the interval 0 <= x <= 10, we need to carefully consider the function type and any specific requirements, plot the points accordingly, and make sure the graph is within the given interval.

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Answer:

D. 702square inches

Step-by-step explanation:

1. V=78km^3

2. K=∛9

3. K^3=∛9^3

4.9 x 78=702

Rest of the Key for the test is here:

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Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:

L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²

In a 2-layer channel with a flat bottom and infinite width in y, the dispersion relation for baroclinic instability is given by:

ω = kx[(f₁² - f₂²)/(N² - f₂²)]¹/²

Where ω is the frequency, kx is the wavenumber in the x-direction, f₁ and f₂ are the Coriolis parameters for the upper and lower layers, and N is the buoyancy frequency.

In the presence of rotation, the minimum length for baroclinic instability to take place is determined by the condition that the frequency ω must be positive. This means that:

(f₁² - f₂²)/(N² - f₂²) > 0

or equivalently:

f₁ > (N²f₂)¹/²

This condition implies that the Coriolis parameter in the upper layer must be greater than the square root of the product of the buoyancy frequency and the Coriolis parameter in the lower layer. This is known as the "Rhines criterion" and represents a necessary condition for the development of baroclinic instability in rotating fluids.

Furthermore, the Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:

L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²

This length scale represents the typical size of the eddies that form due to baroclinic instability in rotating fluids, and is proportional to the inverse square root of the difference between the Coriolis parameters in the upper and lower layers.

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Answer:

The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:

2 + 2x + 7 + x + 2 = 20

Solve for x by combining like terms;

(2 + 7 + 2) + (2x + x) = 20

Which simplifies to;

11 + 3x = 20

Get rid of constants;

-11          -11

3x = 9

Isolate x by getting rid of it's coefficient;

/3  /3

x = 3

Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.

x + 2

3 + 2

= 5 inches.

Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.

2x

2(3)

= 6 inches.

Answer:

Distribute the 3 on the left hand side

Step-by-step explanation:

3 (x − 2) = 2x + 7

Distribute the 3 on the left hand side

3x -6 = 2x +7

Then subtract 2x from each side

Answer:  They read for a equal amount of time.

Step-by-step explanation:

10/12 simplifies to 5/6, making these equal.

Proof:

10 divided by 2 equals 5, and 12 divided by 2 equals 6. This means that they are equal.

As x approaches 0, the limit of p(x) does not exist.

To determine the limit of p(x) as x approaches 0, we can evaluate the behavior of the function from both sides of x = 0.

If we approach from the left side (negative values of x), the expression cos²2(x)/sin(2x) approaches positive infinity as sin(2x) approaches 0 and cos²(x) remains positive.

However, if we approach from the right side (positive values of x), the expression cos²(x)/sin(2x) approaches negative infinity as sin(2x) approaches 0 and cos²(x) remains positive.

Since the function has different limits from the left and right sides, the limit of p(x) as x approaches 0 does not exist.

Therefore, the statement "As x approaches 0, the limit of p(x) does not exist" accurately describes the behavior of the function.

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

A.) f(x)=1/3x + 1 and g(x)=1/3(6x)+1

Step-by-step explanation:

because firs you see the graph of intercepts or vertex.

see y-intercepts : our graph crosses though 1

the first choice crosses at 1 both f(x) & g(x)

the second choice crosses at 1 both f(x) & g(x)

the third choice crosses at -8 both f(x) & g(x) so this can't be answer.

the forth choice crosses at 1 both f(x) & g(x)

see x-intercept : f(x) crosses -3 and g(x) crosses at approximately -1/2

the first choice crosses at -3 at f(x) & - 1/2g(x)

the second choice crosses at -1/2 at f(x) & - 1/6g(x)

the third choice crosses at 8/3 at f(x) & 8/15g(x)

the forth choice crosses at -3 at f(x) & - 3/4(x)

the graph seems crosses at 1/2 at g(x).

so the answer if the first choice.

When the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.

The rate at which the area of a triangle changes can be found by multiplying the rate at which the base is shrinking by the rate at which the height is increasing.

Given:

Rate of shrinking of the base = -2 cm/min

Rate of increasing of the height = 3 cm/min

Height of the triangle = 38 cm

Base of the triangle = 32 cm

To find the rate at which the area of the triangle changes, we use the formula for the area of a triangle:

Area = (1/2) * base * height

Differentiating the area formula with respect to time gives us:

dA/dt = (1/2) * (db/dt) * height + (1/2) * base * (dh/dt)

Substituting the given values, we have:

dA/dt = (1/2) * (-2) * 38 + (1/2) * 32 * 3

Simplifying, we get:

dA/dt = -38 + 48

dA/dt = 10 cm²/min

Therefore, when the height is 38 cm and the base is 32 cm, the rate at which the area of the triangle changes is 10 cm²/min.

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The equivalent expression of the rational exponent ∛a² is \((a)^{\frac{2}{3}\).

Rational exponents are exponents that are fractions, where the numerator is a power and the denominator is a root.

So rational exponents (fractional exponents) are exponents that are fractions or rational expressions.

To determine the rational exponent equivalent to the expression given, we will apply the power rule of indices as shown below.

The given expression is ;

∛a²

The rational exponent is calculated as follows;

∛a² = \((a)^{\frac{2}{3}\)

Thus, based on exponent power rule, the given expression is equivalent to ∛a² = \((a)^{\frac{2}{3}\)

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The complete question is below:

Find the equivalent expression of the rational exponent ∛a². does anyone know it

Answer:

Design 1: $449.45

Design 2: $522.60

Design 3: $318.25

Design 3 as it's the cheapest

Step-by-step explanation:

Design 1

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

Given the slanted side = 3.5

Height = √(3.5² - 1²) = (3√5)/2

⇒ area of design 1 = 1/2(5 + 3) × (3√5)/2 = 6√5 = 13.42 m²

⇒ cost = 13.42 x 33.5 = $449.45

Design 2

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Area of a 6-sided regular polygon = 4 triangles + rectangle

⇒ area of design 2 = 4(1/2 × 1.4 × 2.0) + (2.5 × 4) = 15.6 m²

⇒ cost = 15.6 x 33.5 = $522.60

Design 3

Area of a trapezoid = 1/2(a + b)h (where a and b are the bases and h is the height)

⇒ area of design 3 = 1/2(3 + 2) × 2 + 1/2(3 + 1.5) × 2 = 9.5 m²

⇒ cost = 9.5 x 33.5 = $318.25

\(\boxed{\tt{55(55-0.18)=pA}}\)

Answer:

your answer will be option d

Step-by-step explanation:

look.

5a=4+b

now put the values

of option d

5×-1=4-9

-5=-5 I hope u understand

Answer:

y=4/5x+4

Step-by-step explanation:

Answer:

Positive Correlation

Step-by-step explanation:

The graph shown as a positive correlation.

Two variables move in the same direction in a positive correlation.

You can also tell that the graph has a correlation that is positive because of the line moving in a upward direction from left to right.

Hope this helps.  

Answer:

the second one the positive correlation

Step-by-step explanation:

the x and y are both positive

The graph shown as a positive correlation.

Two variables move in the same direction in a positive correlation.

You can also tell that the graph has a correlation that is positive because of the line moving in a upward direction from left to right.

Hope this helps.  

Answer:

How many prime numbers are there in 2020?

There are 12 factors of 2020, of which the following are its prime factors 2, 5, and 101. The Prime Factorization of 2020 is 2^2 × 5^1 × 101^1.

...

Sum of Factors of 2020: 4284.

Step-by-step explanation:

The solution of the expression with three terms using binomial theorem can be solved by supposition and resubstituting the value.

Let us consider an example of three terms :

( 1 + x + x² ) ³

Use binomial theorem and expand the given expression:

Standard form of binomial expansion is :

( a + b )ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+  ⁿCₙa⁰bⁿ

Let us consider x + x² = y

( 1 + y )³

=³C₀1³y⁰ +  ³C₁1³⁻¹y¹ + ³C₂1³⁻²y² +  ³C₃1⁰y³

= 1 + 3y + 3y² + y³

Resubstitute the value of y = x + x² we get,

= 1 + 3(x + x²) + 3(x + x²)² + (x + x²)³

= 1 + 3x + 3x² + 3( x² + 2x³ + x⁴) + ³C₀x³(x²)⁰ +  ³C₁x³⁻¹(x²)¹ + ³C₂(x)³⁻²(x²)² +  ³C₃x⁰(x²)³

= 1 + 3x + 3x² + 3x² + 6x³ + 3x⁴ + x³ + 3x⁴ + 3x⁵ + x⁶

= 1 + 3x + 6x² + 7x³ + 6x⁴ + 3x⁵ + x⁶

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The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Answer: \(\frac{5}{9}\ m\)

Step-by-step explanation:

Given

Area of the rectangular piece of paper is \(A=\frac{1}{3}\ m^2\)

Length of the paper is \(l=\frac{3}{5}\ m\)

Suppose width of the paper is \(w\)

Area is the multiplication of length and width

\(\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m\)

Thus, the width of the paper is \(\frac{5}{9}\ m\)

Step-by-step explanation:

Ok they need to make $1,260.

Each t-shirt sells for $12 but they only make half that amount $6

So far 85 t-shirts have been sold

85 * 12 = 1,020

Ok but remember its half that amount-

1,020 / 2 = 510

So far they have $510 raised.

1260 - 510 = 750

They still need to raise $750.

If we divide $750 / 6 = 125

So that's our answer, now if we wanna verify-

125 * 12 = 1500

1500 / 2 = 750

So after revising, we are left with the answer 125, Mathewson middle school must sell 125 more t-shirts to make the desired amount.

Hope this helps! :)

If the company needs a list of top 5 sales people then the number of rankings that are possible are  45239040  .

In the question ,

it is given that ,

the total number of salespeople in the company is = 36

the number of sales people that need to be ranked is = top 5 salespeople ,

we have to ranked the top 5 salespeople ,

So , the top 5 salespeople can be ranked in ³⁶P₅ ways .

³⁶P₅ = 36!/(36 - 5)!

= 36!/31!

On further simplifying ,

we get ,

= 45239040

Therefore , the number of ranking that are possible are 45239040 .

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Answer:

n7 is y

Step-by-step explanation:y

Answer:

16.8%

Step-by-step explanation:

When fourty percentage of the people in a town are females. 10% of the females are left -handed. Then total 16.8% of peoples in the town are not female and are left-handed.

We have a percentage data of people in a town. Percentage of female peoples in the town = 40 %

Percentage of female left handed = 10 %

Percentage of total left handed = 20.8 %

Percentage is defined as a ratio of a number to 100 or it expressed as a fraction of 100. Let Total population of the town = X

So, female peoples in the town = 40% of X = (40/100) × X

= 0.4X

The peoples who are not female = X - 0.4X = 0.96X

Number of female left-handed = 10% of 0.4X = (10/100)× 0.4X

= 0.04X

Number of all left-handed in the town

= 20.8% of X = (208/100)× X

= 0.208X

Left-handed peoples who are not female

= 0.208X - 0.04X

= 0.168X

The percentage of people who are not female and who are left-handed

= (0.168X /X )×100

= 16.8%

Hence, required percentage is 16.8%.

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