A Helicopter hovering at 1,750 feet begins descending at a rate of 250 feet per minute. How many minutes will it take the Helicopter to reach the ground?

30 POINTS AND BRANLIEST!!!!!!!!!!!!

Answer:  387

Step-by-step explanation: Have a blessed day hopefully this helps!

Answer:387

Step-by-step explanation:

bc it is

Answer:

yes

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Answer: B.

Step-by-step explanation: Plato

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

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Answer:

324

Step-by-step explanation:

18 + 18 = 36

18 x 18 = 324

If the diagonals are congruent and perpendicular, that means they must form 4 similar triangles! and thus the figure is a square (We join the 4 triangles and get a square)

Answer:

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

Step-by-step explanation:

x³-x²+x-1​

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

Answer:

Answer:

slope is 0.6

Step-by-step explanation:

y1-y2     2-11

x1-x2     -5-10

equals

-9 over 15

simplify

3/5, decimal form is 0.6

hoped this helped

Out of the 42 students, 22 take history, 17 take biology, and 8 take both history and biology. Therefore, there are 11 students who take neither biology nor history.

To find the number of students who take neither biology nor history, we need to subtract the number of students who take at least one of these subjects from the total number of students in the group.

Let's break down the information given:

Total number of students (n) = 42

Number of students taking history (H) = 22

Number of students taking biology (B) = 17

Number of students taking both history and biology (H ∩ B) = 8

To find the number of students who take at least one of these subjects, we can use the principle of inclusion-exclusion. The formula for the principle of inclusion-exclusion is:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

In this case, A represents the set of students taking history, and B represents the set of students taking biology.

Using the formula, we can calculate the number of students taking at least one of these subjects:

n(H ∪ B) = n(H) + n(B) - n(H ∩ B)

= 22 + 17 - 8

= 31

Therefore, there are 31 students who take either history or biology or both.

To find the number of students who take neither biology nor history, we subtract this value from the total number of students:

Number of students taking neither biology nor history = Total number of students - Number of students taking at least one of the subjects

= 42 - 31

= 11

Hence, there are 11 students who take neither biology nor history.

In summary, out of the 42 students, 22 take history, 17 take biology, and 8 take both history and biology. Therefore, there are 11 students who take neither biology nor history.

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The answer is C. Congruent - SAS

Step-by-step explanation:

Side XY is congruent to side AB

Angle Y is congruent to Angle B

Side YZ is congruent to side BC

The answer is C. Congruent- SAS

Answer:

if i answered it would be 0

Step-by-step explanation:

Answer:

Forty-Five equals three x minus nine.

Step-by-step explanation:

You just kind of need to say it our loud and then write what you said. :)

Answer: Forty-five equals three x minus nine.

Step-by-step explanation: 45- forty- five

                                              = equals

                                              3x- three x

                                               - minus

                                               9- nine

Together it is 45= 3x-9 is Forty-five equals three x minus nine.

The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The electric potential at the origin due to the given line charge is -(1/4πε₀) (k/a²) ln(a).

To derive this expression, we start with the formula for the electric potential due to a continuous charge distribution:

V = -∫(1/4πε₀) (ρ/r) dτ

where ρ is the charge density and dτ is an element of volume.

In this case, the line charge density is given by:

λ = kx / (x² a²)

To find the charge density, we need to integrate this expression over the length of the line charge. Since the line charge extends from x=a to infinity, we have:

Q = ∫λ dx from a to infinity

Q = ∫(kx / x² a²) dx from a to infinity

Q = (k / a²) ∫(1 / x) dx from a to infinity

Q = (k / a²) [ln(x)] from a to infinity

Q = (k / a²) ln(a)

The total charge Q is equal to the charge density multiplied by the length of the line charge, which is infinity in this case.

Now, we can use the formula for the electric potential to find the potential at the origin:

V = -∫(1/4πε₀) (λ/r) dx from a to infinity

V = -(1/4πε₀) ∫(kx / x² a² x) dx from a to infinity

V = -(1/4πε₀) (k/a²) ∫(1/x) dx from a to infinity

V = -(1/4πε₀) (k/a²) [ln(x)] from a to infinity

V = -(1/4πε₀) (k/a²) ln(a)

Therefore, the potential at the origin produced by a line charge is -(1/4πε₀) (k/a²) ln(a).

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The probability that the insurance representative will sell a policy to three out of four prospective clients is 0.0256.

The probability that the insurance representative sells to more than two prospective clients is 0.0272.

To calculate the probability that the insurance representative will sell a policy to a specific number of prospective clients out of four, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = \((n C k) * p^k * (1 - p)^(n - k)\)

Where:

P(X = k) is the probability of exactly k successes (selling a policy) out of n trials (appointments).

(n C k) represents the combination or "n choose k" which calculates the number of ways to choose k successes out of n trials.

p is the probability of success on a single trial (probability of making a sale).

(1 - p) is the probability of failure on a single trial (probability of not making a sale).

Using this formula, we can calculate the probability of selling a policy to three out of four prospective clients.

Probability of selling a policy to three clients:

P(X = 3) = (4 C 3) * (0.20)^3 * (1 - 0.20)^(4 - 3)

Calculating:

P(X = 3) = 4 * 0.008 * 0.80

P(X = 3) = 0.0256

To calculate the probability that she sells to more than two clients, we need to sum the probabilities of selling to three clients and selling to all four clients.

Probability of selling to more than two clients:

P(X > 2) = P(X = 3) + P(X = 4)

Substituting the values:

P(X > 2) = \(0.0256 + (4 C 4) * (0.20)^4 * (1 - 0.20)^(4 - 4)\)

Calculating:

P(X > 2) = 0.0256 + 1 × 0.0016 × 1

P(X > 2) = 0.0272

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tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.

b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.

The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.

Given,

The two scatterplots below show the relationship between final and mid-semester exam grades recorded during several years for a statistics course at a university.

a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.

b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.

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The value of 600 as the product of prime factors will be 2³ × 3 × 5².

It should be noted that a prime number simply means the number that can be multiplied by itself and 1.

Therefore, it should be noted that 600 will be expressed thus:

600 = 2 × 2 × 2 × 3 × 5 × 5

600 = 2³ × 3 × 5².

Therefore, the value is 2³ × 3 × 5².

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Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Answer:

250 × 0.25

Step-by-step explanation:

x/250 × 25/100

cross multiply

100x = 250 × 25

100x = 6250

divide by 100

x = 62.5

62.5 is how much the price got marked down

original price - marked down amount = new discounted price

250 - 62.5 = 187.5

$187.50 is now the actual price

As for which expression can be used to find the marked down price, none are listed in this problem and I'm assuming its a multiple choice question considering the wording of "which"

how i solved it is through cross multiplication but another way is by using the expression:

250 × 0.25

this is because 25% equals 0.25

Answer:

$43

Step-by-step explanation:

We know the total amount of money Drew earned from selling = $64. Since he is only selling two items, lemonade and apples, we can turn the info into an equation: lemonade + apples = $64 (or L + A = 64)

We also know that he sold $21 in lemonade. If we plug that into our new equation, it looks like this:

21 + A = 64

From there we just need to find A (the amount of money he earned from selling apples). We can do this by subtracting 21 from 64:

A = 64 - 21

A = $43

If the function n(t) is real, the geometric phase will vanish. However, if a phase factor is added to the eigenfunctions, the Berry connection becomes modified, resulting in a non-zero Berry phase. The total Berry phase for a closed loop in parameter space cannot be determined without specific information about the system and Hamiltonian.

(a) To show that the geometric phase vanishes when n(t) is real, we start with the definition of the geometric phase:

γ = ∮ A · dR

Where A is the Berry connection and dR is the infinitesimal displacement in parameter space. Since n(t) is real, the Berry connection A = i〈n|∇n〉 is purely imaginary. Therefore, the dot product A · dR will also be purely imaginary. As the integral of a purely imaginary quantity over a closed loop, the geometric phase γ will be zero.

(b) If we tack a phase factor onto the eigenfunctions, i.e., considering eigenfunctions of the form |n\((t)⟩ = e^iφ(t)|n(t)⟩\), where φ(t) is an arbitrary real function, the Berry connection becomes:

A = i〈n(t)|∇n(t)〉 = \(i(e^-iφ(t)〈n(t)|∇n(t)〉e^iφ(t))\) = i〈n(t)|∇n(t)〉 + (∇φ(t)) · n(t)

The first term is the original Berry connection, which is purely imaginary, and the second term involves the gradient of φ(t). Integrating this modified Berry connection over a closed loop will result in a non-zero Berry phase.

(c) Evaluating this in a closed loop in parameter space, with R = Rf, would require specific details about the system and the parameter dependence of the Hamiltonian. Without further information, it is not possible to determine the total Berry phase for R = Rf.

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The area of the shaded region A = 44.22

What is area of circle?

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr2. π is approx 3.14 or 22/7.

1) Area of circle, Ac = π r^2

Ac = π (6)^2

Ac = 113.10

2) Area of triangle, At

The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile, the 3 angles at the center is 120 degrees each since a circle is 360 degree.

We know that the radius (line from center point to corner) is equivalent to 6. Using the cosine law, we can calculate for the length of one side.

s^2 = 6^ + 6^2 – 2 (6) (6) cos 120

s^2 = 108

s = 10.4

Since this is an equilateral triangle therefore all sides are equal. The area for this is:

At = (sqrt3 / 4) * s^2

At = 46.77

3) Area of segment, As is given as:

As = [ (r^2) / 2 ] ( θ rad – sin θ )

As = [(6^2) / 2] (120 * π / 180 – sin 120)

As = 22.11

Therefore the area of shaded region is:

A = 113.10 - 46.77 - 22.11

A = 44.22

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Answer:

-75

Step-by-step explanation:

-123 + 48

-*+ = -

123-48

75

But as the bigger number i.e 123 has a negative sign before so the answer will be in negative

i.e -75

Answer:

Either A or B.

Step-by-step explanation:

Each number in the sequence is being added by 6.

So you can use the equation: x+6

The ninth term in the sequence would be 36 because 30+6=36

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Answer:

147 square yards

Step-by-step explanation:

Area = 21 x 14 x 1/2

Area = 294 x 1/2

Area = 147 yd ^ 2

Hope that helps! :)

-Aphrodite