Inayah claims that the pool is draining at a rate of 1. 36% per hour

Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.

Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)

Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

Answer:

x = 5

Step-by-step explanation:

Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x

Let’s simplify this equation:

25x + 5 =26x

-25x -25x

5 = x

Therefore, x = 5.

did you get ittttt???

please help me out

Answer:

88.493%

Step-by-step explanation:

We solve this question using z score formula.

Z score = x - μ/σ

where

x is the raw score = 120lb

μ is the population mean = 138lb

σ is the population standard deviation = 15lb

Hence,

z = 120 - 138/15

= -1.2

Probability value from Z-Table:

P(x<120) = 0.11507

P(x>120) = 1 - P(x<120)

1 - 0.11507

= 0.88493

Converting to percentage

= 0.88493 × 100

= 88.493%

The percentage of women in that country weigh more than 120 lb is 88.493%

Answer:

Step-by-step explanation:

12xy(3y - 4x)

the GCF is 12xy

Answer:

19.72

Step-by-step explanation:

The slant height of the cone is approximately 5 meters.

We can use the Pythagorean theorem to find the slant height of the cone.

The slant height, denoted by l, the height h and the radius r form a right triangle where l is the hypotenuse:

\(l^2 = h^2 + r^2\)

In this case, we are given the height h as 12 m, but we are not given the radius r.

However, we know that the slant height is the distance from the apex of the cone to any point on its circular base.

So, we can draw a line from the apex of the cone to the center of its circular base, which will be perpendicular to the base, and we can use this line as the height of a right triangle that also includes the radius r of the circular base.

Then, we can use the Pythagorean theorem to find the slant height l.

The radius r is half the diameter of the circular base, so we need to find the diameter of the base.

Since we are not given the diameter directly, we need to find it using the height h and the slant height l.

To do this, we can draw a cross section of the cone that includes its circular base and its height, and then draw a line from the apex of the cone to a point on the base that is perpendicular to the diameter of the base.

This line will be the height of a right triangle that also includes the radius r of the base and half the diameter of the base.

Then, we can use the Pythagorean theorem to find the diameter of the base.We have:

\(l^2 = h^2 + r^2r = sqrt(l^2 - h^2)d/2 = sqrt(l^2 - r^2)d^2/4 = l^2 - r^2d^2 = 4(l^2 - r^2)\)

Substituting the expression for r that we found above, we get:

\(d^2 = 4(l^2 - (l^2 - h^2))d^2 = 4h^2d = 2h\)

Now we can substitute this expression for d into the formula for the volume of a cone:

\(V = (1/3) * pi * r^2 * hV = (1/3) * pi * ((2h)/2)^2 * hV = (1/3) * pi * h^2 * 4V = (4/3) * pi * h^3\)

We can solve this formula for h:

\(h = (3V)/(4*pi)^(1/3)\)

Substituting the given volume of the cone, which we will assume is in cubic meters:

\(V = (1/3) * pi * r^2 * h = (1/3) * pi * r^2 * 12V = 16pih = (3(16pi))/(4*pi)^(1/3)\)

h = 4.819 m

Now we can find the slant height using the Pythagorean theorem:

\(l^2 = h^2 + r^2l^2 = (4.819)^2 + ((2(4.819))/2)^2l^2 = 23.187l = 4.815\) \(m\)

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Answer:

3 pi

Step-by-step explanation:

\(C= 2\pi r\)

\(C= 2\pi 1.5\)

\(C= 3\pi\)

Answer:

340 ft²

Step-by-step explanation:

From the diagram, we can see that the shape is made up of a square and 4 triangles. (We know it's a square as its width equals its length).

First, find the area of the square.

Area of a square = width x length = 10 x 10 = 100 ft²

All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.

Area of a triangle = 1/2 x base x height = 1/2 x 10 x 12 = 60 ft²

So the total area of all 4 triangles = 4 x 60 = 240 ft²

Therefore the total surface area = 100 + 240 = 340 ft²

Answer:

340 ft²

Step-by-step explanation:

The surface area of a shape is basically the area of its faces.

\(\rightarrow \text{Surface area of pyramid: 4(Area of triangle) + Area of square}\)

1. First, Let's find the area of the triangles. To find the area of a triangle, we need to multiply the height and the base and then divide the product by 2.

\(\rightarrow \text{Area of triangle} = \dfrac{12 \times 10}{2}\)

Now, let's find the area of the triangle by simplifying the RHS.

\(\rightarrow \text{Area of triangle} = 6 \times 10\)

\(\rightarrow \text{Area of triangle} = 60 \ \text{ft}^{2}\)

Since there are four triangles, we need to further multiply the area of the triangle by 4 to find the area of four triangles.

\(\rightarrow \text{Area of four triangles} = 4(60)\)

\(\rightarrow \text{Area of four triangles} = 240 \ \text{ft}^{2}\)

2. Now, let's find the area of the square. To find the area of the square, we need to square the side length.

\(\rightarrow \text{Side length} = 10 \ \text{ft}\)

\(\rightarrow \text{Area of square} = 10^{2}\)

\(\rightarrow \text{Area of square} = 100 \ \text{ft}^{2}\)

3. Lastly, let's find the surface area. To find the surface area of the figure, we need to sum up the area of the triangles and the area of the square.

\(\rightarrow \text{Surface area of pyramid: 4(Area of triangle) + Area of square}\)

\(\rightarrow \text{Surface area of pyramid: 240 + 100}\)

\(\rightarrow \text{Surface area of pyramid: 340 \text{ft}}^{2} }\)

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:

225 inches

Step-by-step explanation:

15 x 15 = 225

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The standard error of the distribution of sample proportions is 0.032.

option C is the correct answer.

The standard error of the distribution of sample proportions is calculated as follows;

S.E = √(p (1 - p)) / n)

where;

The standard error of the distribution of sample proportions is calculated as;

S.E = √ ( 0.1 (1 - 0.1 ) / 90 )

S.E = 0.032

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If the price of gasoline is $3.119/gal, then is its price in cents per liter is $68.54 cents/ Liter.

Dimensional Analysis:

The process of performing dimensional analysis is to obtain specific quantities with desired units. With this, we must also be familiar with the construction of the conversion factors needed to find answers to such questions. As we know, a conversion factor can be expressed as a ratio of two parameters with equal values.

We know according to unit:

On converting to galloon

41€ = 41€×(1L/1.3€)× (1qt/1L)× (1gal/4qt)

      = (10/1.3)gal

      = 8 gallons,

Now,

We convert the given measurement into the desired unit. For this issue, we have implemented the following identities:

100 cents = 1 dollars

1gal = 4.55 liter.

and construct appropriate conversion factors. We proceed with the solution.

$3.119/gal to cents/ liter

$3.119/gal = $3.119/gal × 100 cents/$1 × 1 gal/4.55 Liter

                 = $ 68.54cents/ Liter.

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The optimal values of x and y are x = 4 and y = 3.

To find the optimal values of x and y using the graphical solution method, we need to graph the given inequalities and identify the feasible region.

The first inequality, x + y ≥ 7, represents a line with a slope of -1 passing through the point (0, 7). To graph it, we can plot this point and draw the line extending to the right and upwards. The feasible region lies above or on this line.

The second inequality, 5x + 2y ≥ 20, represents a line with a slope of -5/2 passing through the point (0, 10). Again, we can plot this point and draw the line extending to the right and upwards. The feasible region lies above or on this line.

The third condition, x ≥ 0 and y ≥ 0, indicates that x and y must be non-negative. This restricts the feasible region to the positive quadrant of the graph.

The intersection of the feasible regions determined by the two inequalities forms a region bounded by a triangle. We need to find the point within this region that minimizes the objective function x + y.

To find the optimal values, we can evaluate the objective function at the vertices of the feasible region:

Vertex A: (0, 7)

Objective function value: x + y = 0 + 7 = 7

Vertex B: (4, 3)

Objective function value: x + y = 4 + 3 = 7

Vertex C: (4, 5)

Objective function value: x + y = 4 + 5 = 9

The minimum value of the objective function occurs at vertices A and B, where the value is 7. Therefore, the optimal values of x and y are x = 4 and y = 3.

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Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees is (13π/6) inches.

To find the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees, follow these steps:

Convert the central angle to radians: Since there are 360 degrees in a full circle and 2π radians in a full circle, you can use the conversion factor (π/180) to convert the central angle from degrees to radians. So, 30 degrees * (π/180) = (30π/180) = (π/6) radians.

Calculate the arc length using the formula: Arc length (L) = radius (r) * central angle (θ), where r is the radius and θ is the central angle in radians. In this case, r = 13 inches and θ = π/6 radians.

Substitute the values into the formula: L = 13 * (π/6)

Solve for L: L = (13π/6)

Simplify the fraction: L = (13π/6) inches

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The domain of the function is R - {m} and the range of the function is (-∞, ∞).

We are given a function f: R−{n}→R defined by f(x) = (x-n)/(x-m), where m ≠ n.

To find the domain of the function, we need to consider the values of x for which the denominator (x-m) is zero. Since m ≠ n, we have m - n ≠ 0, and therefore the function is defined for all x except x = m.

Therefore, the domain of the function is R - {m}.

To find the range of the function, we can consider the behavior of the function as x approaches infinity and negative infinity. As x approaches infinity, the numerator (x-n) grows without bound, while the denominator (x-m) also grows without bound, but at a slower rate. Therefore, the function approaches positive infinity.

Similarly, as x approaches negative infinity, the numerator (x-n) becomes very negative, while the denominator (x-m) also becomes very negative, but at a slower rate. Therefore, the function approaches negative infinity.

Thus, we can conclude that the range of the function is (-∞, ∞).

In summary, the domain of the function is R - {m} and the range of the function is (-∞, ∞).

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Once the dimensions of the triangular pyramid are provided, we can perform these calculations to find the volume of the remaining piece in cubic inches.

To determine the volume of the remaining piece, we need to find the volume of the triangular pyramid that was cut off and then subtract it from the original volume of the rectangular prism.

Here are the steps:
Step 1: Determine the volume of the rectangular prism.

The student question already provides this information: 12 cubic inches.
Step 2: Determine the volume of the triangular pyramid.

In order to do this, we need the base area and the height of the pyramid.

However, the diagram is not provided in the question. Please provide the dimensions of the base and height of the triangular pyramid.
Step 3: Calculate the volume of the triangular pyramid using the formula:
Volume = (1/3) × Base area × Height
Step 4: Subtract the volume of the triangular pyramid from the volume of the rectangular prism to find the volume of the remaining piece:
Remaining Volume = Volume of Rectangular Prism - Volume of Triangular Pyramid.

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ANSWER

3 rotten apples

EXPLANATION

We know that Amber and Jacob have the same fraction of rotten apples in their bags.

Jacob's bag has 4 apples in total, of which 1 is rotten. Thus, the fraction of rotten apples he has is,

Amber has the same fraction in her bag, but she has a total of 4 apples. If n is the number of rotten apples in Amber's bag,

We have to find n so that n/12 equals 1/4.

Multiply both sides by 12,

So, Amber's bag has exactly 3 rotten apples

The area of the kite is 9√5 square units.

Given is quadrilateral which is a kite with vertex (-1, 0) , (4, -2) , (1, -4) and (-5, -2) we need to find the area.

To find the area of a kite, we can use the formula:

Area = (d₁ × d₂) / 2

where d₁ and d₂ are the lengths of the diagonals of the kite.

First, let's find the lengths of the diagonals.

Diagonal 1: Connect the vertices (-1, 0) and (1, -4)

d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(1 - (-1))² + (-4 - 0)²]

= √[2² + (-4)²]

= √[4 + 16]

= √20

= 2√5

Diagonal 2: Connect the vertices (4, -2) and (-5, -2)

d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-5 - 4)² + (-2 - (-2))²]

= √[(-9)² + 0²]

= √[81 + 0]

= √81

= 9

Now, we can calculate the area of the kite:

Area = (d₁ × d₂) / 2

= (2√5 × 9) / 2

= (18√5) / 2

= 9√5

Therefore, the area of the kite is 9√5 square units.

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The measure of angle HBG to 3 significant figures is 48.2°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The trigonometric functions are;

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

In the cuboid, Triangle BHG is a right triangle

since BG = 24 cm = adj

BH = 36cm = opp

represent angle HBG by x

cos x = 24/36

cos x = 0.667

x = 48.2

Therefore the measure of angle HBG is 48.2°

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Answer:

6x-1

Step-by-step explanation:

You will substitute 3x to x and it will give you a 2(3x)-1 = 6x-1

The correct statement is "Since the data is variable and available, the given question is a statistical question." Therefore, option B is correct.

The question "How many times do Jack Nursing Home residents search the Internet each day?" is a statistical question because it is a variable that varies from person to person and from day to day. The purpose of the question was to collect data on Internet searches, indicating an interest in understanding the distribution and patterns of residents' search behavior.

Additionally, in the question he states that web search data is available. This means there is an opportunity to collect and analyze data to generate meaningful insights. This question is therefore a statistical question that takes into account the variability and availability of the data. 

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Answer:

A

Step-by-step explanation:

4x - 1x = 3x

3 + 2 = 5

therefore your expression would be,

3x + 5

Answer:

A

Step-by-step explanation:

If you combine like terms on all of them, you get

A 3x+5

B 4x+5

C 3x+3

D 4x+5

hope this helps!

The phase angle (φ) represents the Initial position of the particle at time t = 0. Depending on the specific starting position.

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be given by:

x(t) = A * cos(ωt + φ)

In this equation, x(t) represents the displacement of the particle from the center of the circle at time t. A represents the amplitude of the motion, which is the maximum displacement from the center. ω represents the angular frequency or angular speed of the motion, given in radians per unit of time. φ represents the phase angle or initial phase of the motion.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units. The angular speed is 2 radians per second. Since the particle is moving uniformly, the angular frequency (ω) is equal to the angular speed (2 radians per second). The radius of the circle is 7 units, which represents the amplitude (A) of the motion.

Substituting the values into the equation, we get:

x(t) = 7 * cos(2t + φ)

The phase angle (φ) represents the initial position of the particle at time t = 0. Depending on the specific starting position, the value of φ may vary.

the simple harmonic motion of the particle moving around the circle. The cosine function represents the periodic nature of the motion, with the particle oscillating back and forth along the circumference of the circle with the given amplitude and angular frequency.

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The given statement, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences" is true. Computer-based computational approaches are used to solve mathematical models that represent physical processes quantitatively.

Computational methods may be used to forecast how complex systems will behave under various situations, which is frequently the case when straightforward analytical answers are not accessible.

Its goal is to analyze the behavior of complicated systems using computer simulations. In the 1960s, computational approaches first appeared in engineering. Since that time, structural engineers have led the way in developing technical fixes for issues with engineering analysis and design. The development of computational techniques has been driven by the emergence of electronic computers and the enormous rise in processing capacity. A wide range of engineering specialties have been significantly impacted by the quick advancements in computer technology.

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The complete question is, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences. True or False"

mathematics is applied in engineering and the physical and social sciences to solve complex problems, design structures, analyze data, make predictions, and study patterns and relationships.

mathematics is applied extensively in engineering and the physical and social sciences to solve complex problems and make accurate predictions. In engineering, mathematics is used to model and analyze systems, design structures, and solve optimization problems. For example, civil engineers use mathematical principles to calculate the strength and stability of bridges and buildings, while electrical engineers use mathematical equations to design circuits and analyze electrical systems.

In the physical sciences, mathematics is used to describe and explain natural phenomena. Physicists use mathematical models and equations to understand the behavior of particles, the motion of objects, and the interactions of forces. Mathematics provides a precise language to represent and analyze physical phenomena, allowing scientists to make predictions and test hypotheses.

In the social sciences, mathematics is used to analyze data, make predictions, and study patterns and relationships. Economists use mathematical models to analyze economic trends, forecast future outcomes, and understand the impact of various factors on the economy. Mathematicians and statisticians develop statistical methods to analyze social data and study patterns in areas such as population growth, social networks, and voting behavior.

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