On a certain hot summer's day, 539 people used the public swimming pool. The daily prices are $ 1. 50 for childten and $ 2. 25 for adults. The receipts for admission totaled $1017. 0. How many children and how many adults swam at the public pool that day?

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

The polar form of the rectangular coordinates (0, 6√3) with a positive value of r, over the interval 0 ≤ θo < 27 and in terms of radians, is (6√3, 1.58).

Step-by-step explanation:

To convert the rectangular coordinates (0, 6√3) to polar form, we can use the following formulas:

r = √(x^2 + y^2)

θ = tan^(-1)(y/x)

Substituting the given values, we get:

r = √(0^2 + (6√3)^2) = 6√3

θ = tan^(-1)((6√3)/0) = π/2

However, note that the angle θ is not well-defined since x=0. We can specify that the point lies on the positive y-axis, which corresponds to θ = π/2 radians.

Thus, the polar form of the rectangular coordinates (0, 6√3) is:

r = 6√3

θ = π/2

To express the angle θ in terms of θo, where 0 ≤ θo < 27 and in radians, we can write:

θ = π/2 = (π/54) × 54 ≈ (0.0292) × 54 ≈ 1.58 radians

Therefore, the polar form of the rectangular coordinates (0, 6√3) with a positive value of r, over the interval 0 ≤ θo < 27 and in terms of radians, is (6√3, 1.58).

Answer:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Step-by-step explanation:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Therefore, the number 540 is not a prime number or a deficient number

A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;

1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.

Answer:

\(540 = 3 ^{3} \times 2 {}^{2} \times 5\)

so, it is 4*3*2= 24

A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.

So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

We find that the surface integral evaluates to 54π. the surface integral ∫∫S (x^2 + y^2 + z^2) dS,

where S is the part of the cylinder x^2 + y^2 = 9 that lies between the planes z = 0 and z = 3, together with its top and bottom disks, evaluates to 54π.

To evaluate the surface integral, we can use the formula ∫∫S f(x, y, z) dS, where f(x, y, z) is the integrand and dS represents the surface element.

In this case, the integrand is (x^2 + y^2 + z^2) and the surface S is defined by the equation x^2 + y^2 = 9 and bounded by the planes z = 0 and z = 3, including the top and bottom disks.

We can express the surface integral as the sum of three parts: the lateral surface of the cylinder and the two disk surfaces. The lateral surface can be parameterized as x = 3cosθ, y = 3sinθ, and z ranges from 0 to 3. The two disk surfaces have their own parameterizations.

By performing the calculations, integrating over each surface element, and summing the results, we find that the surface integral evaluates to 54π.

Learn more about surface integral here:

brainly.com/question/32088117

#SPJ11

Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

either 885 more or 450 more

Step-by-step explanation:

Monday: 1000

Tuesday: 1000*1.3 = 1300

Wednesday:

I'm assuming 45% more from tuesday?

          1300*1.45 = 1885

or if not:

          1000*1.45 = 1450

either 885 more or 450 more

you can also just do 1000*1.3*1.45 = 1000*1.885 = 1885 if thats what the question means

As per the congruency theorem, the two triangles are congruent.

Congruency theorem:

Congruency theorem states that "if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other."

Given,

Here we need to prove that  congruency theorem can be used to prove that △wut ≅ △vtu.

Let us consider triangles WUT and VTU.

And in these triangles:

=> WU≅VT

And in those one, ∠T≅∠U,

Therefore, m∠T = m∠U = 90°

Here the side TU is common.

Now, we have to note that triangles WUT and VTU are right triangles, because m∠T = m∠U = 90°.

Then the side TU is common leg and sides WU and VT are hypotenuses.

Therefore, the HL theorem states: if the hypotenuse (WU) and one leg  (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.

To know more about Congruency theorem here.

https://brainly.com/question/19258025

#SPJ4

Answer: HL

Step-by-step explanation:

The probability of the ball landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.

The probability of the ball landing on a red slot on a single spin of a standard roulette wheel is 18/38 or approximately 0.4737 or 47.37%. This is because there are 18 red slots out of a total of 38 slots on the wheel.

The outcome of the previous 210 spins has no effect on the probability of the ball landing on a red slot on the next spin. Each spin is an independent event, and the probability of the ball landing on a red slot remains the same for each spin.

Therefore, even though the ball has landed on a red slot for the past 210 spins, the probability of it landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.

To know more about probability, refer here:

https://brainly.com/question/30034780#

#SPJ11

Answer:

85 is the correct answer I think

I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.

Answer:

decision-making

Step-by-step explanation:

Answer: SEE EXPLANTION!

Step-by-step explanation:

In rolling a die once, you do have a 1/6 chance of getting 6. In rolling a die once (for the second roll), you do have a 1/2 chance of getting an odd number (getting 1, or 3 or 5).

Thank you!

Answer:

1/2.

Step-by-step explanation:

There are 3 odd numbers on the die (1, 3, 5) and 3 even numbers (2, 4, 6). So, the probability would be 3/6 (3 odd out of a total 6 numbers), which simplfies  to 1/2.

The gas mileage in miles per gallon = 44.690mi/gal.

A vehicle's mileage is the number of miles it can drive solely on a single gallon or liter of fuel. They are ready to pay up to $500 more for fuel-efficient vehicles. 3. a noncountable noun.

Subtract the original tachometer reading from either the new one to get the miles traveled first from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's overall kilometers per gallon yield for that driving period will be calculated.

1 km = 0.621371 mi

1 L = 0.264172 gal

calculating that the amount of gas mileage in miles per gallon by multiplying with distance and gas used per miles.

19 km/L = (19*0.621371)/0.264172 mi/gal

= 44.690 mi/gal

the gas mileage in miles per gallon = 44.690mi/gal.

To know more about vehicle's mileage visit:

https://brainly.com/question/13444557

#SPJ4

Answer:

y = -3x

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

find two points on the graph then do rise/run

Answer:

Answers on attached image

Step-by-step explanation:

Answer: 4 seconds

Step-by-step explanation:

The data is bimodal, with a maximum range of 59.

This might be because students either did not understand and earned less than 51, or they knew the topic well and earned higher than 90.

Using the following terms: a student's grades in a history class are shown in the histogram.

Which statement best describes the spread and distribution of the data:

The data is almost symmetric, with a maximum range of 59.

This might be because the topic is easily understood by the students.

The data is skewed, with a maximum range of 59.

This might be because the teacher offered extra credit, and most of the students did that to increase their grades above 70.

The data is bimodal, with a maximum range of 59.

This might be because students either did not understand and earned less than 51, or they knew the topic well and earned higher than 90.

The data is symmetric, with a maximum range of 59.

This might be because the topic was very difficult for the students, and most of them earned lower grades.

The correct answer to this question is the data is skewed, with a maximum range of 59.

This might be because the teacher offered extra credit, and most of the students did that to increase their grades above 70.

Skewness refers to a condition in which the data is not symmetrical.

When data is skewed, it indicates that the majority of the data lies on one side of the graph, while the other side is either empty or has a small amount of data.

A histogram with a peak and a long tail is referred to as a positively skewed histogram, indicating that most of the data is on the left side of the graph.

For similar question on maximum.

https://brainly.com/question/82347

#SPJ11

Answer:

domain and range below

Step-by-step explanation:

domain: [-5,1) or 1>x≥-5

range: [-4,7) or -4≥x<7

these are due to the domain being the possible x-values and range being the possible y-values.

hope this helps! comment below my response if you need further clarification.

Answer: 4529

Step-by-step explanation:

Hope it helps Have a good Day

Just divide it

Answer:

-2

Step-by-step explanation:

hope it helps

By using the combination theorem, it can be concluded that the value of m + n = 125

Combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

nCr = n! / (n - r)! r!

Let's denote the number of rectangles as r, and the number of squares as s:

r = ⁹C₂ x ⁹C₂

 = (9! / (9 - 2)! 2!) x (9! / (9 - 2)! 2!)

 = (9! / 7! 2!)   x   (9! / 7! 2!)

 = 36 x 36

 = 1296 rectangles

s = 1² + 2² + 3² + 4² + 5² + 6² + 7² + 8²

  = 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64

  = 204 squares

Then we get the ratio of s : r as follows:

s / r = 204 / 1296

      = 17 / 108

Since m represents the horizontal lines and n represents the vertical lines, then m + n = 17 + 108 = 125.

Thus, it can be concluded that the value of m + n = 125

To learn more about combination, click here: https://brainly.com/question/14529621

#SPJ4

Answer:y

Step-by-step explanation:

Answer:

f⁻¹(x) = 2ˣ / 9

Step-by-step explanation:

f(x) = log₂ (9x)

y = log₂ (9x)

swap y and x:    x = log₂ (9y)

solve y: 9y = 2ˣ        y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

Since

f(x) = log₂ (9x)

So,

y = log₂ (9x)

Now

swap y and x so    x = log₂ (9y)

And, now we have to solve for y

9y = 2ˣ      

y = 2ˣ / 9

f⁻¹(x) = 2ˣ / 9

Hence, The equation of the inverse of the function f(x) = log2 (9x) should be considered as the \(f^{-1}(x) = 2^x / 9\)

Learn more about equation here: https://brainly.com/question/8208446

Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.

Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.

Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.

However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.

Learn more about aquifers

brainly.com/question/32294539

#SPJ11

Answer:

equaloty

Step-by-step explanation:

zvg

huu

hjj

hjjk

jjkoii

Answer:

3b - \(\frac{3}{5}\) b  

Step-by-step explanation:

Let the number be "b"

So the expression would be:

3b - \(\frac{3}{5}\) b  

The factored quadratic expression in this problem is given as follows:

2x² + 14x + 20 = 2(x + 5)(x + 2).

The quadratic expression in the context of this problem is defined as follows:

2x² + 14x + 20.

The common factor of the expression is given as follows:

2x² + 14x + 20.

Hence we divide each term by the common factor as follows:

2(x² + 7x + 10) = 2(x + 5)(x + 2).

More can be learned about quadratic expressions at https://brainly.com/question/1214333

#SPJ1

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

Learn more about equation

brainly.com/question/29657983

#SPJ11