A table is 73.66 centimeters
tall. An iguana tank on the table is 76.34
centimeters tall. Will the table and tank fit
beneath a shelf that is 157.16 centimeters
off the floor? Explain your reasoning.

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.

The reason why 20 is not a square number is because it's square root is not an integer.

It follows from the task content that we explain why 20 is not a square number.

First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.

On this note, 20 is not a square number because it's square root is not an integer.

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In the word problem, if mike has 40 coins consisting of dimes and quarters and if the dimes were quarters and the quarters dimes, he would have 90 cents more, he has 17 quarters.

A word problem refers to a mathematical exercise where significant information on the problem is given in ordinary language and not mathematical notation.  Let x be the number of dimes (10 cents) and y be the number of quarters (25 cents). Hence, the total number of coins is:

x + y = 40

The amount of the total coins would be 0.1x + 0.25y.

If the dimes were quarters and quarters were dimes, he would have 90 cents more than the amount he has now.

Hence,

0.25x + 0.10y = 0.1x + 0.25y + 0.9

Solving,

0.25x – 0.1x = 0.25y – 0.1y +0.9

0.15x = 0.15y + 0.9

As x + y = 40, x = 40 – y

Substituting,

0.15 (40 – y) = 0.15y + 0.9

6 - 0.15 y = 0.15y + 0.9

0.15y + 0.15y = 6 – 0.9

0.3y = 5.1

y = 5.1/0.3 = 17

Hence, the number of quarters are 17.

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Answer:

a couple different obes

Step-by-step explanation:

there are five

The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.

The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.

After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.

Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.

Sketch the market demand, marginal costs, and marginal revenues.

Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.

Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.

The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.

Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.

Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.

The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.

Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .

What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.

The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.

At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.

Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.

The subsidy reduces the marginal cost to (1/2) Q - $10.

Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

Therefore, the deadweight loss falls.

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To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

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Answer:

Step-by-step explanation:

First, find the cost of both pairs of sunglasses after the discounts

65% = 65/100 = 0.65

($48)(0.65) = $31.20

55% = 55/100 = 0.55

($38)(0.55) = $20.90

Then subtract the bigger cost (31.20) from the smaller cost (20.90)

$31.20 - $20.90 = $10.30

$10.30 is your price difference.

a. if we calculate f_X(x) and f_Y(y) separately, we see that they do not multiply to give f(x,y), so X and Y are not independent. b. X and Y are not independent. c. , f(x,y) = (2x + 1)(y), which can be written as f_X(x)f_Y(y) = (2x + 1)(y), where f_X(x) = 2x + 1 and f_Y(y) = y. d. f(x,y) = 4xy, which can be written as f_X(x)f_Y(y) = 2x * 2y, where f_X(x) = 2x and f_Y(y) = 2y.

a. X and Y are not independent because their joint density function depends on both X and Y. To show that X and Y are not independent, we need to find a counterexample to the definition of independence, which states that f(x,y) = f_X(x)f_Y(y) for all x and y. However, if we calculate f_X(x) and f_Y(y) separately, we see that they do not multiply to give f(x,y), so X and Y are not independent.

b. X and Y are not independent because the joint density function is only defined on a triangular region, and its value depends on both X and Y. Therefore, X and Y are not independent.

c. X and Y are independent because the joint density function can be factorized into the product of the marginal density functions, which only depend on one variable each. Specifically, f(x,y) = (2x + 1)(y), which can be written as f_X(x)f_Y(y) = (2x + 1)(y), where f_X(x) = 2x + 1 and f_Y(y) = y.

d. X and Y are independent because the joint density function can be factorized into the product of the marginal density functions, which only depend on one variable each. Specifically, f(x,y) = 4xy, which can be written as f_X(x)f_Y(y) = 2x * 2y, where f_X(x) = 2x and f_Y(y) = 2y.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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The correct statements are:

The triangle and trapezoid area formulas have 1/2.

The parallelogram and rectangle formulas are both the same.

In the trapezoid formula, the bases are added.

A triangle is a polygon with three sides and three vertices. A triangle's angles add up to 180 degrees.

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

A trapezium is a quadrilateral that is convex. A trapezium is made up of at least two parallel sides. Area of a trapezium = 1/2  x (sum of the lengths of the parallel sides) x height

A rectangle is a quadrilateral in two dimensions with four right angles. Area of a rectangle = length x width

A parallelogram is a quadrilateral with two parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

Hence, the correct statements are options (A), (B), and (D).

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The question seems to be incomplete the correct question would be:

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that

apply.

A. The triangle and trapezoid area formulas have 1/2.

B. The parallelogram and rectangle formulas are both the same.

C. In the parallelogram formula, the bases are added.

D. In the trapezoid formula, the bases are added.

E. In the triangle formula, the sides are added, then multiplied by 1/2​

Answer:

9:2

Step-by-step explanation:

Put in what we know

cars: motorcycles

9         2

Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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Answer:

Which subject is optional in the morning??

A 60 purchases in a single day would represent the 92.7th percentile.

To answer this question, we need to calculate the average number of purchases per day and the standard deviation of the number of purchases per day. Then, we can use the normal distribution to determine the percentile that represents 60 purchases in a single day.

1. Average number of purchases per day:
Since 10% of potential customers buy a product, out of 500 visitors, 10% will be 500 * 0.10 = 50 purchases.

2. Standard deviation of the number of purchases per day:
To calculate the standard deviation, we need to find the variance first. The variance is equal to the average number of purchases per day, which is 50. So, the standard deviation is the square root of the variance, which is sqrt(50) = 7.07.

3. Percentile of 60 purchases in a single day:
We can use the normal distribution to calculate the percentile. We'll use the Z-score formula, which is (X - mean) / standard deviation, where X is the number of purchases in a single day. In this case, X = 60.

Z-score = (60 - 50) / 7.07 = 1.41

Using a Z-score table or calculator, we can find that the percentile associated with a Z-score of 1.41 is approximately 92.7%. Therefore, 60 purchases in a single day would represent the 92.7th percentile.

In conclusion, 60 purchases in a single day would represent the 92.7th percentile.

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The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer: False

Step-by-step explanation: :)

Answer: x=1

Step-by-step explanation:

Assume that "log" is the base-10 logarithm

log (2x)+log (5)=1

log 10{10}(2x)+log (5)=1

Assume that "log" is the base-10 logarithm

\log 10{10}(2x)+\log (5)=1

\log 10{10}(2x)+\log10{10}(5)=1

Apply the logarithm product identity

\log 10{10}(2x)+\log 10{10}(5)=1

log 10{10}(2x x 5)}=1

Answer:

\(\boxed {\boxed {\sf tan (B)=3/4}}\)

Step-by-step explanation:

First, recall the right triangle trigonometry ratios.

We are looking for tangent, so we will use the last ratio.

We know that the sine of B is 3/5. Since sine is opposite over hypotenuse, the opposite is 3 and the hypotenuse is 5.

But, tangent needs opposite and adjacent.

We have to find the adjacent. This can be done using the Pythagorean Theorem, because these ratios are used with right triangles.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

We know the hypotenuse is 5 and one of the legs is 3.

\((3)^2+b^2=(5)^2\)

Solve the exponents.

\(9+b^2=25\)

Subtract 9 from both sides of the equation to isolate the variable.

\(9-9+b^2=25-9\\b^2=25-9\\b^2=16\)

b is being squared. The inverse of a square is the square root. Take the square root of both sides.

\(\sqrt{b^2}=\sqrt{16} \\b=\sqrt{16} \\b=4\)

The adjacent side is 4.

Now we know the opposite (3) and adjacent (4). We can substitute these into the tangent ratio.

tan(θ)= opposite/adjacent

tan(B)=3/4

The tangent of B is 3/4

The rate of change of the radius when the area is 10 m² equals -0.2676 m/s. This means that the radius is decreasing at a rate of 0.2676 meters per second.

We are given that the rate of change of the area is -3 m²/s. This means that the area is decreasing at a rate of 3 m²/s. We are also given that the area is currently 10 m². We can use these two pieces of information to find the rate of change of the radius. The formula for the area of a circle is A = πr², where A is the area, π is a constant, and r is the radius. We can differentiate both sides of this equation to find an expression for the rate of change of the area with respect to time: dA/dt = 2πr * dr/dt.

We are given that dA/dt = -3 m²/s and A = 10 m². We can plug these values into the expression for dA/dt to find an expression for dr/dt: dr/dt = -(3 m²/s)/(2π * 10 m²) = -0.2676 m/s.

Therefore, the rate of change of the radius when the area is 10 m² equals -0.2676 m/s. This means that the radius is decreasing at a rate of 0.2676 meters per second.

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The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.

However, it is important to note that not all studies need to use random sampling in order to draw meaningful conclusions. In some cases, non-random samples may still provide valuable insights into the topic of interest.

In any case, if the study did use volunteers who self-selected to participate, it is important for the researchers to acknowledge this limitation in their conclusions and to avoid overgeneralizing the findings beyond the sample they studied.

The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.

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Answer:

110

Step-by-step explanation:

55 times 2/1 = 110 (you flip the fraction and change the sign to multiplication)

Answer:

110

Step-by-step explanation

Answer:

Miko found an incorrect quotient but checked her work using multiplication correctly.

Step-by-step explanation:

i d k

Answer:

A, B, and D

Step-by-step explanation:

in me girl 7735293+3;$7373-$-$-37372+2

The piecewise function graphed in this problem is defined as follows:

A piece-wise function is a function that has different definitions, depending on the input of the function.

The definitions for this problem are given as follows:

For the function up to x = 1, the function is a linear function with slope of 1 and intercept of 6, hence:

y = x + 6, x ≤ 1.

For the function greater than x = 1, the quadratic function y = x² + 3 is defined, hence:

y = x² + 3, x > 1.

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The image is formed behind the mirror, and the image is upright.

Given data: Object height, h = 3.0 cm Image distance, v = ? Object distance, u = -20.0 cmFocal length, f = -60.0 cmUsing the lens formula, the image distance is given by;1/f = 1/v - 1/u

Putting the values in the above equation, we get;1/-60 = 1/v - 1/-20

Simplifying the above equation, we get;v = -40 cm

This negative sign indicates that the image is formed behind the mirror, as the object is placed in front of the mirror.

Hence, the image is virtual and erect. Using magnification formula;M = -v/uWe get;M = -(-40) / -20M = 2Hence, the height of the image is twice the height of the object.

The height of the image is given by;h' = M × hh' = 2 × 3h' = 6 cm Now, let's draw the ray diagram:

Thus, the position of the image is -40.0 cm and the height of the image is 6 cm.

The image is formed behind the mirror, and the image is upright.

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Step-by-step explanation:

Area1=4×3=12cm²

Area2=6×3=18cm²

Area3=(6+3)×(12+4)=9×16=144cm²

Total area = area1 + area2 + area3

Total area= 12+ 18+144=174cm²

Answer:

A and C

Step-by-step explanation:

Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.

An angle and the two sides collinear with the angle's rays are congruent to the corresponding parts of another triangle.

The statements that will apply that meets the conditions for two triangles to be considered congruent to each other by the SAS Congruence Theorem are:

A. corresponding two sides and an included angle that are congruent in both triangles

C. A pair of two sides that are collinear to an angle's ray and an angle, which are congruent to the corresponding two sides and angle in the other triangle.

Recall:

Therefore the statements that will apply that meets the conditions for two triangles to be considered congruent to each other by the SAS Congruence Theorem are:

A. corresponding two sides and an included angle that are congruent in both triangles

C. A pair of two sides that are collinear to an angle's ray and an angle, which are congruent to the corresponding two sides and angle in the other triangle.

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