Simone has 16 square inch tiles she glues all of them on cardboard to make two different rectangles each with the same area what are the side lengths of the two rectangles she can make

Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

To determine the area of the figure accurately, we need more information or a description of the figure. The measurements provided (4 cm, -3 cm, 8 cm, 6 cm) do not provide enough details to calculate the area. Please provide additional information or a description of the figure so that I can assist you in finding the closest measurement to its area.

Based on the line of best fit, the predicted price for the seller's house with a size of 2100 square feet is approximately $205.88.

In the given scenario, the seller has a house that is 2100 square feet. The line of best fit for the neighborhood comps is expressed as y = 0.074x + 50.48. Here, "x" represents the square footage of a house, and "y" represents the predicted price based on the square footage.

To determine the predicted price of the seller's house, we substitute the square footage (x) with 2100 in the equation:

y = 0.074 * 2100 + 50.48

Calculating the expression, we have:

y = 155.4 + 50.48

y = 205.88

Hence, the predicted price for the seller's house, based on the line of best fit, is approximately $205.88.

It's important to note that the line of best fit is derived from neighborhood comps and may not perfectly predict the actual price of the seller's house. It serves as an estimation based on the trend observed in the neighborhood.

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Answer:

Max has 30 cards

Step-by-step explanation:

C:M

3x:x

Conner has 90 trading cards

3x=90

divide by 3

x=30

this means that Max has 30 cards

The statement means that the Separation Axioms, a set of principles in mathematics,   are not sufficient on their own to build acomprehensive framework for  settheory that includes its typical operations and construction.

The Separation Axioms are a collection of axioms that define the basic properties of topological spaces.   They are not strong enough to develop set theory with its usual operationsand constructions.

One reason forthis is that the Separation Axioms do not allow us to distinguish between different points in a topological space. For example, in a T0 space, we can say   that two points are distinct if there is an open set that contains one point but notthe other.

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The values of angle Q,R, S are 90°, 53.1° and 36.9° respectively.

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

sin(θ) = opp/hyp

cos(θ) = adj/hyp

sin(θ) = opp/adj

Finding angle R;

sinR = 8/10

sinR = 0.8

R = 53.1°

Q is a right angle , therefore Q is 90°

therefore to find angle S

angle S = 90- 53.1

= 36.9°

Therefore the values of angle Q,R, S are 90°, 53.1° and 36.9° respectively.

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The volume of the solid object is 69.30 in².

We have,

The volume of the triangular prism with a rectangular base is given by the formula V = (lw)h,

where s is the side of the base and h is the height of the prism.

Now,

h = 18.8 in

s² = 19.2² =  368.64 in²

Now,

The volume of the solid object.

= 368.64 x 18.8

= 69.30 in²

Thus,

The volume of the solid object is 69.30 in².

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The repetitions that result in no magenta marbles will be 62.5.

The expected value is the predicted average outcome of a random variable, calculated by multiplying each outcome by its probability.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

The number of magenta turquoise and black marbles is equal. Thus, the probability will be equal. Then the probability of not selecting a magenta marble is calculated as,

P = (1/2) x (1/2)

P = 1/4

The expected value is calculated as,

E = 1/4 x 250

E = 62.5

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The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

π√2 : 4

Step-by-step explanation:

if area of square is 9, each side = 3.

radius of circle = √[(3/2)² + (3/2)²]

= (3√2)/2.

Diameter = 2 X radius = 3√2.

Circumference = π X D

= 3π√2

perimeter of square = 3 + 3 + 3 + 3 =12.

ratio of circumference to perimeter is

3π√2 : 12

= π√2 : 4

The number of hamburger is 375 and the number of cheeseburger is 311.

Here,

It should be noted that an expression is simply used to show the relationship between the variables.

In this case, the local hamburger shop sold a combined total of 686 hamburgers and cheeseburgers on Saturday and there were 64 fewer cheeseburgers sold than hamburgers.

Let Cheeseburger = x

Hamburger = x + 64

This will be:

x + x + 64 = 686

2x + 64 = 686

2x = 686 - 64

2x = 622

x = 622/2

x = 311

Cheeseburger = 311

Hamburger = x + 64 = 311 + 64 = 375

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A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

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Answer:

Step-by-step explanation:

[tex]10x-7=103\text{\quad (vertically opposite angles are equal)}[/tex]

     [tex]10x=110[/tex]

        [tex]x=11[/tex]

Answer:

To calculate the total dividends received over 6 years, we can use the formula:

Total dividends = Annual dividend per share x Number of shares x Number of years

In this case, the annual dividend per share is $0.29, the number of shares is 125, and the number of years is 6.

Total dividends = $0.29 x 125 x 6 = $217.50

Therefore, the answer is (B) $217.50.

Step-by-step explanation:

Answer: $119

Step-by-step explanation:

     We will find the rate of dollars per hour by dividing.

$289 dollars / 17 hours = $17 dollars per hour

     Next, we will multiply this rate by 7 hours.

7 hours * $17 dollars per hour = $119

Hello !

-5 = 9 - 7y

-5 + 7y = 9

7y = 9 + 5

7y = 14

y = 14/7

y = 2

so no for all except for y = 2

The points in standard form  are 7 + 3i and  6 - 6i, distance between two complex numbers is  √82,  complex conjugate of z₂ = 6 + 6i and the value of z₂ - z₁ is -1 - 9i

Given that the points z₁ and z₂ are (7, 3) and (6, -6)

To represent the points z₁  and z₂ in standard form, we write them as complex numbers in the form a + bi, where a represents the real part and b represents the imaginary part.

For z₁ : (7, 3) = 7 + 3i

For z₂: (6, -6) = 6 - 6i

The distance between two complex numbers, we can use the distance formula:

Applying this formula to z₁  and z₂:

Distance = √[(6 - 7)² + (-6 - 3)²]

= √[(-1)² + (-9)²]

= √[1 + 81]

= √82

The complex conjugate of z₂ = 6 - 6i is denoted as z₂' and can be found by changing the sign of -6i:

z₂ = 6 + 6i

To find z₂ - z₁  geometrically, we can represent z₁  and z₂ as vectors and then subtract them.

First, let's plot the complex numbers z₁  and z₂ on the complex plane:

z₁  (7, 3) is represented by the vector from the origin to the point (7, 3).

z₂ (6, -6) is represented by the vector from the origin to the point (6, -6).

To find z₂ - z₁ , we subtract the vector representing z₁ from the vector representing z₂.

The resulting vector represents z₂ - z₁.

Using the geometric method, we subtract the vector representing z₁  (7 + 3i) from the vector representing z₂ (6 - 6i):

(6 - 6i) - (7 + 3i)

By performing the subtraction:

(6 - 7) + (-6 - 3)i

-1 - 9i

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Because ∠DAC equals ∠BAD, we can conclude that triangles ΔABC and ΔACD are similar according to the Angle-Angle (AA) similarity criterion. Then the length of the CD is 8.3.

To find the length of the CD, we can use the similarity of triangles ΔABC and ΔACD. Since∠ DAC is equal to ∠ BAD, we can conclude that triangles ΔABC and ΔACD are similar by the Angle-Angle (AA) similarity criterion.

Using the given information:

AB = 5.7

AC = 5.1

BD = 3.6

Let's set up the proportion based on the similarity of triangles  ΔABC and ΔACD:

AB/AC = BC/CD

Substituting the given values:

5.7/5.1 = (5.7 + 3.6)/CD

Simplifying the equation:

1.1176 = 9.3/CD

Cross-multiplying:

CD = 9.3 / 1.1176

Calculating CD:

CD ≈ 8.3214

Therefore, Rounding the CD to one decimal place, the length of the CD is approximately 8.3.

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To determine the best model for fitting the given data, we can analyze the trend and pattern in the population values over time. One common approach is to perform linear regression to find the equation of the line that best represents the data.

To find the regression equation, we'll use the given data points (t, P) as follows:

t: 0, 1, 2, 3, 4

P: 22.8, 25, 26.5, 27.1, 27.8

Using a calculator or statistical software, we can perform linear regression to find the equation of the line that best fits the data. The equation will have the form:

P = mt + b

where m represents the slope of the line and b represents the y-intercept.

Performing the regression calculation, we find that the equation of the line that best fits the data is approximately:

P = 1.155t + 22.625

To determine the year when the population will be less than 24,000, we can substitute P = 24 into the equation and solve for t:

24 = 1.155t + 22.625

1.155t = 24 - 22.625

1.155t = 1.375

t ≈ 1.19

Rounding to the nearest whole number, we find that the year when the population will be less than 24,000 is 1 (1997).

To find the population in 2008, we substitute t = 12 into the equation:

P = 1.155(12) + 22.625

P ≈ 36.18

Rounding to the nearest whole number, the estimated population in 2008 is 36,000.

In summary:

6) The linear regression equation that best fits the data is P = 1.155t + 22.625.

The population will be less than 24,000 in the year 1997.

The estimated population in 2008 is 36,000.

<33

Answer:

The area of a parallelogram is given by the formula:

Area = base * height

We are given that the area is 36 square meters and the height is 4 meters. Substituting these values into the formula, we get:

36 = base * 4

36 / 4 = base

9 = base

Therefore, the length of the base is 9 meters.

hello

the answer to the question is (10, - 2)

Answer:

Step-by-step explanation:

Midpoint Formula:  [tex](\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

Midpoint = [tex](\frac{8+12 }{2} , \frac{3+(-7)}{2} )[/tex]

Midpoint = [tex](\frac{20 }{2} , \frac{-4)}{2} )[/tex]

Midpoint = (10, -2)

Answer:

Step-by-step explanation:Homework Progress

22 / 77

P and Q are points on the line 3y - 4x = 12

a) Complete the coordinates of P and Q.

P (0,4

,0)

b) Plot points P and Q on the graph.

Use the tool to plot the coordinates.

c) Draw the line 3y - 4x = 12 for values

of x from -3 to 3.

The result obtained by adding the three digits is 17.

Let's denote the three-digit number as XYZ, where X, Y, and Z represent the individual digits.

Given that the product of the three digits is 135, we have the equation

X × Y × Z = 135.

To find the result obtained by adding the three digits (X + Y + Z), we need to determine the individual values of X, Y, and Z that satisfy the given equation.

We can start by listing all possible combinations of three digits that multiply to 135:

1 × 3 × 45

1 × 5 × 27

1 × 9 × 15

3 × 5 × 9

Out of these combinations, we can observe that the sum of the digits in each combination is:

1 + 3 + 45 = 49

1 + 5 + 27 = 33

1 + 9 + 15 = 25

3 + 5 + 9 = 17

Therefore, the result obtained by adding the three digits is 17.

In conclusion, by adding the three digits of the three-digit number, we get the result of 17.

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I apologize, but it seems that the table and graph you mentioned did not come through in your message. Could you please provide the table and graph or describe the information in more detail? That way, I can assist you with your question.

The difference between the selling price and the cost price is the profit he earned.

Profit = Selling Price - Cost Price

Profit = $216 - $180

Profit = $36

To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :

Percentage Profit = (Profit : Cost Price) * 100%

Percentage Profit = ($36 : $180) * 100%

Percentage Profit = 0.2 * 100%

Percentage Profit = 20%

Therefore, his percentage profit is 20%.

a) The terminal point is 0.896 radius length.

b) The value returned is -0.896.

We have,

The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)

a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:

x-coordinate of terminal point: -2.69

Number of radius lengths to the right: -2.69 / 3 ≈ -0.896

However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.

Thus, the number of radius lengths to the right is

Number of radius lengths to the right: -(-0.896) = 0.896

Therefore, the terminal point is 0.896 radius length.

b. Using Trigonometry

cos(h) = x-coordinate of terminal point / radius length

cos(h) = -2.69 / 3 ≈ -0.896

c. As, θ = h. From the given information, we have:

θ ≈ -0.896 radians

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The sampling distribution of the difference between the two-sample means, X1 - X2, can be characterized by the following properties:

1. Expected value (mean):

  E(X1 - X2) = E(X1) - E(X2) = mu1 - mu2

  The expected value of the difference is equal to the difference of the means of the two populations.

2. Variance:

  V(X1 - X2) = V(X1) + V(X2)

  Since X1 and X2 are independent, the variance of their difference is equal to the sum of their individual variances.

(b) Given the information provided:

For X1:

Mean (mu1) = 29.8

Standard deviation (sigma1) = 4

For X2:

Mean (mu2) = 34.7

Standard deviation (sigma2) = 5

Sample size for X1 (n1) = 20

Sample size for X2 (n2) = 20

To find the sampling distribution of X1 - X2:

Expected value (mean):

E(X1 - X2) = mu1 - mu2 = 29.8 - 34.7 = -4.9

Variance:

V(X1 - X2) = V(X1) + V(X2) = (sigma1^2 / n1) + (sigma2^2 / n2)

          = (4^2 / 20) + (5^2 / 20)

          = 16/20 + 25/20

          = 41/20

          = 2.05

Therefore, the sampling distribution of X1 - X2 has an expected value (mean) of -4.9 and a variance of 2.05.

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B

7/10 has a 7 in the numerator

Answer:

B, 7/10

Step-by-step explanation:

The numerator is the number being divided in the fraction (the number on the top)

Answer:

you would still pay the normal amout of tax of other normal technology. The tax would change depending on e=what state your in tho

Step-by-step explanation:

Answer: About 28 miles.

Step-by-step explanation:

First, we will find the rate of miles per minute.

    85 miles / 60 minutes = 1.41666667 miles per minute

Next, we will multiply this rate by 20 minutes:

    20 minutes * 1.41666667 miles per minute ≈ 28 miles

Answer:

Step-by-step explanation:

To find out how many miles the car would go in 20 minutes, we need to determine the distance covered in one minute and then multiply it by 20.

Given that the car's speed exceeded 85 miles per hour, we can calculate the distance covered in one minute by dividing 85 by 60 (since there are 60 minutes in an hour).

85 miles/hour ÷ 60 minutes/hour = 1.4167 miles/minute

Therefore, the car would travel approximately 1.4167 miles in one minute.

To find the distance covered in 20 minutes, we multiply the distance covered in one minute by 20:

1.4167 miles/minute × 20 minutes = 28.3334 miles

Rounding to the nearest whole mile, the car would go approximately 28 miles in 20 minutes.