The table shows the elevations of four cities in the Netherlands.

Elevations in the Netherlands
Location
Elevation (in meters)
Amsterdam
2
Rotterdam
–4
Utrecht
1
Vaalserberg
322

Which city in the Netherlands is below sea level?
Amsterdam
Rotterdam
Utrecht
Vaalserberg

Answer: scalene, right

Step-by-step explanation:

None of the side lengths of the triangle are equal, so the triangle is scalene.

This triangle also has a right angle, so it is a right triangle.

Answer:

D. And E.

Step-by-step explanation:

It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.

Answer:

y-1=-7/2*(x+3)

Step-by-step explanation:

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

We know that :

\(\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}\)

From the figure, We can notice that :

↔   Opposite side of Angle Q is 9 units

↔   Hypotenuse is 15 units

\(\sf{\implies sinQ = \dfrac{9}{15}}\)

\(\sf{\implies sinQ = \dfrac{3}{5}}\)

The maximal number of intersection points outside the circle that can be created by connecting the 7 dots on the circle with lines is 21.

To calculate this, we use the formula for the maximum number of intersection points formed by connecting n points with lines:

Max intersection points = n * (n - 1) / 2

In this case, n = 7, as there are 7 dots on the circle. Plugging in this value into the formula:

Max intersection points = 7 * (7 - 1) / 2

Max intersection points = 7 * 6 / 2

Max intersection points = 42 / 2

Max intersection points = 21

Therefore, the maximal number of intersection points outside the circle formed by connecting the 7 dots on the circle with lines is 21.

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Option B is correct, Rob's number of pets is 3 standard deviations to the right of the mean.

We need to calculate the number of standard deviations away from the mean Rob's number of pets is.

Given:

Mean (μ) = 4

Standard Deviation (σ) = 2

Number of pets owned by Rob = 10

To calculate the number of standard deviations (z-score) away from the mean, we use the formula:

z = (x - μ) / σ

where x is the value we want to measure.

For Rob's number of pets:

z = (10 - 4) / 2

z = 6 / 2

z = 3

Therefore, Rob's number of pets is 3 standard deviations to the right of the mean.

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The integer values of x that satisfy the inequality 3x - 3 > 12 are 6, 7, 8, 9, 10

To solve the inequality 3x - 3 > 12, we can isolate the variable x on one side of the inequality by adding 3 to both sides:

3x - 3 + 3 > 12 + 3

3x > 15

Next, we can divide both sides by 3 to get x by itself:

x > 5

So we know that any integer value of x in the interval [4, 10] that is greater than 5 will satisfy the inequality.

Therefore, the integer values of x that satisfy the inequality are:

6, 7, 8, 9, 10

Note that 5 is not included in this list, since the inequality is strict (i.e., x is greater than 5, not greater than or equal to 5).

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Answer:

25 miles

Step-by-step explanation:

2 inches represents 10 miles ( divide both parts by 2 )

1 inch represents 5 miles , then

5 inches represents 5 × 5 = 25 miles

Answer:

Simplifying

c + -2 = 3c + 14

Reorder the terms:

-2 + c = 3c + 14

Reorder the terms:

-2 + c = 14 + 3c

Solving

-2 + c = 14 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

-2 + c + -3c = 14 + 3c + -3c

Combine like terms: c + -3c = -2c

-2 + -2c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0

-2 + -2c = 14 + 0

-2 + -2c = 14

Add '2' to each side of the equation.

-2 + 2 + -2c = 14 + 2

Combine like terms: -2 + 2 = 0

0 + -2c = 14 + 2

-2c = 14 + 2

Combine like terms: 14 + 2 = 16

-2c = 16

Divide each side by '-2'.

c = -8

Simplifying

c = -8

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

Answer:

i think the first one but im not sure

im sorry if its wrong

Step-by-step explanation:

The angular momentum is found to be  115kg.\(m^{2}\)/s.

The angular momentum of an object of mass m relative to some point O is given by the expression,

                    \(L = mvr sin\) θ

Here, v is the velocity of the object, r is the distance from point O to the object, and θ is the angle between r and v.

The direction of angular momentum is determined by using right hand rule. Curl the fingers of right hand such that they form a rotation from vector r to vector v, then the thumb will give the direction of angular momentum.

The rate of change of angular momentum is equal to the torque and it is given as,

                 τ  = \(\frac{dL}{dt}\)

Torque about a point due to force F can be calculated by using tangential force method and it is given as,

                    τ  = rFt

Here, r is the distance from the axis of rotation to the point where force is applied and Ft is the tangential component of force and Ft is the tangential component of force.

The following figure shows a rock with velocity v moving horizontally. The distance between the point O and P is r. The angle between the vector r and vector v is θ

. The angle ∅ is equal to 36.9°.

The angle θ is given as,  θ = 180° - 36.9° = 143.1°

The magnitude of angular momentum is given as,

                            \(L = mvr sin\) θ

Here, m is the mass of the rock, v is the velocity of the rock, and  θ

is the angle between v and r.

Substitute 2.00 kg for m, 12.0 m/s for v, 8.00 m for r, and 143.1° for  θ in the above equation.

                              \(L = (2.00kg) (12.0m/s) (8.00m) sin 143.1\)

                                 = 115kg.\(m^{2}\)/s

The direction of angular momentum is determined by using right hand rule.

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The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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Answer:

Step-by-step explanation:

when dividing we really are only multiplying when we flip the second fraction

so keep the first fracion the same and just flip the second one

a = 6

b = 5

c = 3

Answer:

\(b = 3\)

The value of y triples

Step-by-step explanation:

Given:

\(\begin{array}{cccccc}x & {-2} & {-1} & {0} & {1} & {2} \ \\ y & {\frac{2}{9}} & {\frac{2}{3}} & {2} & {6} & {18} \ \end{array}\)

Required

Determine b value

An exponential equation is:

\(y = ab^x\)

When \(x = 0; y =2\)

So:

\(y = ab^x\)

\(2 = a * b^0\)

\(2 = a\)

\(a = 2\)

When \(x = 2; y = 18\)

So:

\(18 = a * b^2\)

Substitute 2 for a

\(18 = 2 * b^2\)

Divide by 2

\(9 = b^2\)

Take positive square roots of both sides

\(3 = b\)

\(b = 3\)

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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The kinetic energy of a particle increases by a factor of 9 if the speed is increased by a factor of 3.

The kinetic energy (KE) of a particle is given by the equation KE = (1/2)mv^2, where m is the mass of the particle and v is its velocity or speed. To determine the factor by which the kinetic energy changes when the speed is increased by a factor of 3, we can compare the kinetic energy before and after the change.

Let's assume the initial kinetic energy is KE1, and the initial speed is v1. If the speed is increased by a factor of 3, the new speed becomes 3v1. The new kinetic energy, KE2, is given by KE2 = (1/2)m(3v1)^2 = (1/2)m(9v1^2).

To find the factor by which the kinetic energy changes, we can calculate KE2/KE1. Substituting the expressions for KE1 and KE2, we have (1/2)m(9v1^2) / (1/2)mv1^2 = 9v1^2/v1^2 = 9.

Therefore, the kinetic energy increases by a factor of 9 when the speed is increased by a factor of 3. This means that the kinetic energy is directly proportional to the square of the speed, so any increase in speed will have a greater effect on the kinetic energy.

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Hence, the probability that a family living in Southern Mississippi owns a cat or a dog is \(0.78\).

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

The meaning of probability is basically the extent to which something is likely to happen.

Here given that,

For a family living in Southern Mississippi, the probability of owning a dog is \(0.4\), the probability of owning a cat is \(0.5\), and the probability of owning both a cat and a dog is \(0.12\).

Probability od owing a dog is

\(P(A)=0.4\)

Probability of owing a cat is

\(P(B)=0.5\)

Probability pf owing both a cat and a dog is

\(P(A\)∩\(B)=0.12\)

As we know,

\(P(A\)∪\(B)=P(A)+P(B)-P(A\)∩\(B)\)

\(P(A\)∪\(B)=0.4+0.5-0.12\)

\(P(A\)∪\(B)=0.78\)

Hence, the probability that a family living in Southern Mississippi owns a cat or a dog is \(0.78\).

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Answer:

g4r = ht

g= ht/4r

Step-by-step explanation:

g4r = ht

g = ht/4r

a. A function for the total cost is T(x) = 90x + 30.

b. The value of T(6) is $570.

c. The meaning of T(6) is that the university would make $570 in six hours.

d. If you were to graph this function, the credit hours would be plotted on the horizontal axis.

e. If you were to graph this function, the total tuition bill would be plotted on the vertical axis.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Part a.

Since the university charges $90 per credit hour plus a $30 registration fee, a linear equation in slope-intercept form that models the situation is given by:

T(x) = 90x + 30

Part b.

When x = 6 hours, we have:

T(6) = 90(6) + 30

T(6) = $570.

Part c.

The meaning of T(6) is that this university would make $570 in six hours or the total tuition bill for six hours is equal to $570.

Part d.

In this scenario, the credit hours would be plotted on the horizontal axis of a graph.

Part e.

In this scenario, the total tuition bill would be plotted on the vertical axis.

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Therefore, the present value of the perpetuity that pays $1,800 per year forever, assuming a 5% interest rate, is $36,000. To find the present value of a perpetuity that pays $1,800 per year forever, we can use the formula:
Present Value = Cash Flow / Interest Rate

In this case, the cash flow is $1,800 and the interest rate is 5%. Plugging these values into the formula, we get:
Present Value = $1,800 / 0.05. Simplifying this equation, we find that:
Present Value = $36,000

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Answer:

The answer is b.7

Step-by-step explanation:

Because i had the question and got it right

The answer to the various exercises would be explained and given below.

Parallel lines are those lines that do not meet or intercept at any point.

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Answer:

\(cos^{-1}(\frac{5}{13} )\)

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.

Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.

The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.

In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.

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The values of x for which the series converges lie in the interval (8 7/8, 9 1/8).

To find the values of x for which the series converges, we need to analyze the given series:

∑[infinity] (x − 9)ⁿ * 8ⁿ / n First, let's consider the terms of the series. We have the variable x, and we are raising (x - 9) to the power of n.

Additionally, we have the coefficient 8ⁿ and the term 1/n. To determine when the series converges, we can use the Ratio Test. The Ratio Test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Mathematically, it can be expressed as: lim(n→∞) |(aₙ₊₁/aₙ)| < 1

In our case, the consecutive terms of the series are:

aₙ = (x − 9)ⁿ * 8ⁿ / n

aₙ₊₁ = (x − 9)ⁿ⁺¹ * 8ⁿ⁺¹ / (n+1) Now, let's apply the Ratio Test:

lim(n→∞) |(aₙ₊₁/aₙ)| = lim(n→∞) |[(x − 9)ⁿ⁺¹ * 8ⁿ⁺¹ / (n+1)] / [(x − 9)ⁿ * 8ⁿ / n]|

= lim(n→∞) |(x − 9) * 8 * n / (n+1)|

= |(x − 9) * 8|

For the series to converge, the absolute value of the above expression must be less than 1.

Therefore, we have: |(x − 9) * 8| < 1 To solve this inequality, we can divide both sides by 8:

|x − 9| < 1/8

This means that x must be within a distance of 1/8 from 9 on the number line.

In interval notation, we can write the solution as: (x − 9) ∈ (8 7/8, 9 1/8) Therefore, the values of x for which the series converges lie in the interval (8 7/8, 9 1/8).

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Using Exponential Smoothing ,

if the smoothing factor is higher that means more weight placed on recent

observations.

The weight , 1.2 is applied to the observations four periods ago.

Exponential Smoothing:

Exponential smoothing is a type of forecasting method that generates a forecast as a weighted average of the observed value and forecasted value. The weight is determined by the value of the smoothing parameter.

The exponential smoothing formula could be written as follows:

sₜ = α × xₜ + (1−α)sₜ₋₁

sₜ--> smoothed stati, xₜ--> current observations

sₜ₋₁--> previous Smooth statistic

α--> the smoothing factor

Thus the higher the smoothing factor, the more weight is placed on recent observations, and less weight is placed on past observations.

The weight placed on observations t periods before is α x t

Applying the formula, given a smoothing parameter of 0.3, the weight placed on observations four periods before is:

0.3×4 = 1.2

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Answer:

The correct answer is option c.

Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.