Jacky is installing a rectangular swimming pool in her back yard. It measures 25 feet by 50 feet. What is the area of her pool?

The value of x is 10 and the trapezoid has two base angles with measure 40 degrees and two non-base angles with measure 140 degrees.

What is the congruent angle?

When two parallel lines are cut by a transversal, the angles that are on the same side of the transversal and in matching corners will be congruent.

In an isosceles trapezoid, the base angles (the angles opposite the parallel sides) are congruent. Let's call each of these angles "a". Then, we have:

a = 3x + 10 (from one of the congruent angles)

a = 5x - 10 (from the other congruent angle)

Setting these two expressions equal to each other, we get:

3x + 10 = 5x - 10

Solving for x, we get:

2x = 20

x = 10

Now that we know the value of x, we can substitute it back into either of the expressions for "a" to find the measure of each base angle:

a = 3x + 10 = 3(10) + 10 = 40

Therefore, each base angle of the trapezoid has measure 40 degrees.

The other two angles of the trapezoid are the non-base angles (the angles adjacent to the parallel sides).

These angles are supplementary to the base angles, so each non-base angle has measure:

180 - 40 = 140

Therefore, the value of x is 10 and the trapezoid has two base angles with measure 40 degrees and two non-base angles with measure 140 degrees.

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This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.

Using a two-tailed t-test with a significance level of 0.05, the researcher can conclude that the noise does cause the mice to complete the maze faster. The test statistic for this experiment is -2.097, which is less than the critical value of -1.68. This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.

the complete question is :

​experiments on learning in animals sometimes measure how long it takes for mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 36 randomly selected lab mice takes with noise as stimulus. Her sample data yielded a mean of 16. 5 seconds and a standard deviation of 6. 4 seconds. what can you conclude from the sample data ?

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Answer:

Step-by-step explanation:

3=k jsdna no I don't want you in my car so you have a lot to say about the other things I have for the past year so we can see it

The diameter οr radius οf the circular οbject is 120mm, and the circumference οf the οbject 1 frοm the centre tο the edge οf a DVD is 380mm.

A circle's οr an ellipse's circumference is its perimeter. In οther wοrds, if the circle were tο be straightened οut alοng a line segment, the length οf the arc wοuld be the circumference. The perimeter is mοre frequently used tο refer tο the length οf the curve surrοunding any defined figure.

The given infοrmatiοn is that a DVD's edge is 60 mm lοng.

The diameter, radius, and circumference οf the circular οbject must be determined in οrder tο determine the measurement.

We cοncluded that

Radius = 60mm

Diameter = 120mm

Circumference = 380mm

Hence, Diameter = 120mm

Circumference = 380mm

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Answer:

Triangle XYZ is shifted 9 units to the right, then 4 units down.

One zero of the polynomial is given. Use it to express the polynomial as a product of linear factors over the complex numbers.

Given: f(x) = x^2 + 3x + 3 and zero: 3

Here's how to approach this problem:

The polynomial f(x) has a root of 3.

f(x) can be expressed as a product of two factors, where the first factor contains (x-3) as one of its roots, as follows:

f(x) = (x-3)(ax + b)

We can obtain the values of a and b by equating the coefficients of this equation to that of the given polynomial:

a + 3 = 1 (since coefficient of x in the given polynomial is 3)

-3a + b = 3 (since the constant term in the given polynomial is 3)

Solving these equations gives us a=-2 and b=9.

f(x) can thus be expressed as:

f(x) = (x-3)(-2x + 9)

Hence, the expression for the polynomial is f(x) = -(x-3)(2x-9).

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The volume of the rectangular prism can be calculated by using the formula V = lwh, where l is the length, w is the width, and h is the height.

The volume of a rectangular prism can be calculated by the formula V = lwh, where l is the length, w is the width, and h is the height. To calculate the volume of a rectangular prism, first measure the length, width, and height of the prism. Then, plug these measurements into the formula V = lwh and solve for V.

For example, if the length of the prism is 6 cm, the width is 5 cm, and the height is 4 cm, the volume can be calculated by plugging these values into the formula. V = 6 x 5 x 4 = 120 cm3. This means that the volume of this rectangular prism is 120 cm3.

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Complete question:

What are the labels for the highlighted parts of a rectangular prism: A, B, and C?

Answer:

A. is an edge

B. a vertex

C. a face

Step-by-step explanation:

I have this same question now and got this. If you need more proof then look at attachment.

In this scenario, the dependent variable is the cost of the boxes of cookies and the independent variable is the number of boxes of cookies being purchased.

The cost of the boxes of cookies depends on the number of boxes being purchased. The more boxes of cookies that are purchased, the higher the cost will be. Therefore, the cost of the boxes of cookies is the dependent variable, as it depends on the independent variable of the number of boxes being purchased.

Conversely, the number of boxes of cookies being purchased is the independent variable, as it is the variable that is being manipulated or changed. The cost of the boxes of cookies is not being changed, but rather is dependent on the number of boxes being purchased.

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Answer:

(x-15)(x-1) x²

Step-by-step explanation:

x² (x²-16x+15)

a+b=-16

ab=15

a=-15

b=-1

x(x²-15)- (x-15)

(x-15)(x-1)

(x-15)(x-1) x²

Answer: True

Step-by-step explanation:

It is generally recommended that adults drink at least 8 cups or 2 liters of water per day to maintain proper hydration.

Therefore, the total area of Riley's backyard is. [tex]6x^2-19x+8[/tex].

Length is a measure of distance or extent, typically referring to the measurement of an object or distance in one dimension. It describes how long an object or distance is, usually in units such as meters, feet, or inches. Length is one of the fundamental physical quantities, and is used in various fields including mathematics, physics, engineering, and construction. It is often represented by the symbol "L" or lowercase "l".

To find the area of the backyard, we need to multiply the length and width of the rectangular shape.

Length of the backyard = 3x - 8

Width of the backyard = 2x - 1

Area of the backyard = Length x Width

[tex]\\= (3x - 8)(2x - 1)\\= 6x^2 - 19x + 8[/tex]

Therefore, the total area of Riley's backyard is [tex]6x^2-19x+8[/tex]

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Answer:

-6, -3, -2, 0, 2, 3, 6

Step-by-step explanation:

Normally the biggest number has the bigger value but in negative integers the smaller number has the bigger value.

Eg- If you have 2 dollars it is bigger that -2 dollars as then you will be going in dept.

-5 is smaller than -1

-1 is the greatest negative integer.

Therefore, based on the data provided, Oldtown is more popular than Newburg.

To determine which city is more popular, we need to compare their populations for each year.

In 2015, Oldtown had a population of 1518, which is significantly larger than Newburg's population of 100. Therefore, Oldtown was more popular in 2015.

In 2016, Oldtown's population increased to 1643, while Newburg's population increased to 110. Again, Oldtown had a larger population and was more popular.

In 2017, Oldtown's population increased to 1768, while Newburg's population increased to 121. Once again, Oldtown had a larger population and was more popular.

In 2018, Oldtown's population increased to 1893, while Newburg's population increased to 133. Yet again, Oldtown had a larger population and was more popular.

Therefore, based on the data provided, Oldtown is more popular than Newburg.

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The mayors of old town and newborn were having a disagreement about which city was more popular. They made the table below to show the population of their cities for the past several years.

2015 Newburg Population 100. Oldtown Population 1518

2016 Newburg Population 110. Oldtown Population 1643

2017 Newburg Population 121. Oldtown Population 1768

2018 Newburg Population 133. Oldtown Population 1893

Which city is more popular?

The solution, when x = 2, will be y = 1.44, according to the facts provided.

Value refers to how little something is valuable, either financially or in terms of significance. It can also imply "determine how very much something that is worth," as in a reward with a $200 value. As a verb, it indicates "keeping something in high regard" (such "I value our friendship").

We can evaluate this function y = (1.2)ˣ at x = 2 by merely adding x = 2 to the formula for y.

y = (1.2)ˣ

y = (1.2)ˣ (substitute x = 2)

y = 1.44

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The expression that represents the perimeter of the rectangle in centimeters is 45.2g - 30.6h.

Let's start by finding the length of the top and bottom sides, which are equal to the width. The width is given by (9.8g - 4.5h) centimeters, so the length of the top and bottom sides is:

2(width) = 2(9.8g - 4.5h) = 19.6g - 9h

Next, we need to find the length of the left and right sides, which are equal to the length. The length is given by (1.5g - 3.4h) centimeters, so the length of the left and right sides is:

2(length) = 2(1.5g - 3.4h) = 3g - 6.8h

Now that we have the lengths of all four sides, we can find the perimeter of the rectangle by adding them together:

Perimeter = length + width + length + width

Perimeter = (3g - 6.8h) + (19.6g - 9h) + (3g - 6.8h) + (19.6g - 9h)

Perimeter = 45.2g - 30.6h

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Answer:

Step-by-step explanation:

last one since if you plug in zero for the x in the denominator you get 0 and if you have 0 in the denominator it's always undefined

The number line model begins at 2.5 and then adds 4.5 to it, resulting in the number 7 being plotted at the end of the line.

The number line model for the expression 2.5 + 4.5 is shown below. The equation for this expression is 2.5 + 4.5 = 7. This number line model illustrates this expression by starting at the number 2.5 and then adding 4.5 to it, which results in the number 7 being plotted at the end of the line. This is represented by the arrow extending from 2.5 to 7. Starting at 2.5, the arrow first passes through 3, then 4, then 5, then 6, before finally reaching 7. This is the result of adding 4.5 to 2.5, which is shown on the number line model.The expression 2.5 + 4.5 can also be written mathematically as 2.5 + 4.5 = 7. This equation is read as "2.5 plus 4.5 equals 7," and it is a statement that the sum of 2.5 and 4.5 is equal to 7. The number line model of this expression illustrates this mathematical equation by showing how 2.5 plus 4.5 equals 7. The number line model begins at 2.5 and then adds 4.5 to it, resulting in the number 7 being plotted at the end of the line.

|-----|-----|-----|-----|-----|-----|

0    1     2     3     4     5     6

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Which number line model represents the expression 2.5 + 4.5?

The acceleration of the system is 0.83 m/s² and the tension in the string is 8.3 N.

The acceleration of the system can be calculated using Newton's second law of motion. The equation is F = ma, where F is the net force on the system, m is the total mass, and a is the acceleration. Since the two masses are connected by a light inextensible string, the net force acting on the system is equal to the tension in the string. Therefore, the equation becomes T = (5 kg + 2 kg)a, where T is the tension and a is the acceleration. Solving for a, the acceleration is found to be 0.83 m/s². The tension in the string can also be calculated using the equation above. Plugging in the acceleration, the tension is found to be 8.3 N.

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The function with the greatest rate of change are:

1. C = 3

2. A = 5

3. A = 1

4. B = 3

The rate of change of a linear function, also known as the slope of the line, represents the amount by which the output (y) changes for a given change in the input (x). In other words, it is the measure of how steep the line is.

The formula for the rate of change, or slope, of a linear function is:

slope = (change in y) / (change in x)

1. Rate of change for function A = change in y / change in x = 4/3

For B = 1/2

For C = 3/1 = 3

The function with the greatest rate of change is C = 3

2. Rate of change for function A = change in y / change in x = (10 - 5)/(1 - 0) = 5

For B = (12 - 8) / (3 - 1) = 2

For C = (6 - 3)/(1 - 0) = 3

The function with the greatest rate of change is A = 5

3. Rate of change for function A = change in y / change in x = 2/2 = 1

For B = (3 - 2)/(2 - 0) = 1/2

For C = 1/3

The function with the greatest rate of change is A = 1

4. Rate of change for function A = change in y / change in x = -1/3

For B = (10 - 1)/(4 - 1) = 3

For C = 2

The function with the greatest rate of change is B = 3

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The equation modeling function g after the given transformations on the parent sine function is:

g of (x) = A x sine(C(x minus D))+k

where A is the vertical stretch factor, C is the reciprocal of the horizontal stretch factor, D is the horizontal shift, and k is the vertical shift.

Substituting the given values, we get:

g of (x) = 3*sine((1/1)(x+1))+(-4)

Simplifying further, we get:

g of (x) = 3*sine of (x+1)-4

Therefore, the equation modeling function g is g of (x) = 3*sine(x+1)-4 after the given transformations on the parent sine function.

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Answer:

[tex]y = \frac{3}{2} x + 2[/tex]

Step-by-step explanation:

[tex]2y - 3x = 4[/tex]

[tex]y - \frac{3}{2} x = 2[/tex]

[tex]y = \frac{3}{2} x + 2[/tex]

In the context of economics, the term “break-even point” is used to indicate the number necessary to make enough money to keep going, and it is expressed in both units and dollars.

Break-even point is a term used in cost accounting to describe the point at which total cost and total revenue are equal. At this point, there is no profit or loss; it is a neutral zone. At this point, a firm's revenue from the sale of products and services is just sufficient to cover the total costs of producing those products and services.

The break-even point can be expressed in terms of units sold or in terms of total revenue. The point at which the total revenue equals total cost is the break-even point in terms of dollars. The point at which the number of units sold equals the fixed costs divided by the contribution margin per unit is the break-even point in terms of units sold. Therefore, the break-even point is expressed in both units and dollars to show the number necessary to make enough money to keep going.

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The density of the granite is 2690 kg/m³ and the mass of 1.3 m³ of granite is ​3497 kg.

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that;

Plug the given values into the above formula and solve for density of the granite.

p = m / v

p = 6725 kg / 2.5 m³

p = 2690 kg/m³

b) The mass of 1.3 m³ of granite in kg will be;

p = m / v

m = p × v

m = 2690 kg/m³ × 1.3 m³

m = 3497 kg

Therefore, the mass of  1.3 m³ of granite is 3497 kg.

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6 hours and 57 minutes to fill the order if they work together.

A triangle with sides lengths 9, 15, and 3√35 would be classified as a scalene triangle.

In Geometry, there are five (5) major types of triangle based on the length of their sides (side lengths) and angles, and these include the following;

In Mathematics and Geometry, a scalene triangle can be defined as a type of triangle that has all of its three (3) sides and interior angles different in length and size respectively.

Since the given side lengths 9, 15, and 3√35 units are all different, we can logically deduce that they would form a scalene triangle.

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There will be 8980 illiterate people in Sylvania 4 years from now if the country continues to reduce the number of illiterate citizens by 5 each year.

We can write a function P(t) to represent the number of illiterate people in Sylvania t years from today, where t is the number of years after the current year.

Given that the country has decided to reduce the number of illiterate citizens by 5 each year, we can subtract 5 from the number of illiterate people each year.

The initial number of illiterate people in the country is 9000. So, the function can be written as:

P(t) = 9000 - 5t

where t is the number of years after the current year.

For example, if we want to find out how many illiterate people will be in Sylvania in 4 years from now, we can substitute t with 4:

P(4) = 9000 - 5(4) = 9000 - 20 = 8980

Therefore, there will be 8980 illiterate people in Sylvania 4 years from now if the country continues to reduce the number of illiterate citizens by 5 each year.

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Answer: infinity technically the answer is infinity

nothing less nothing more

Step-by-step explanation:

Answer:

62/3

Step-by-step explanation:

As it's a rectangle do the area is equal A = L*W

SO

[tex](7 \times \frac{3}{4} ) \times( 2\times \frac{2}{3} )[/tex]

Step-by-step explanation:

2 2/3 × 7 3/4

turn these into improper fractions =8/3 × 31/3

times the numerator and denominator together= 248/9

248/9 simplified=27.5555555 or 27 5/9 as a fraction

If all three of them together have a total of 520 kroner then bill would have 205 kroner

amounts of money that Alan, Bill, and Cassie have:

Let A be the amount of money that Alan has.

Let B be the amount of money that Bill has.

Let C be the amount of money that Cassie has.

From the problem, we know that:

A + B = 250 (equation 1)

B + C = 475 (equation 2)

A + B + C = 520 (equation 3)

We want to solve for B, the amount of money that Bill has.

One way to do this is to use equation 1 to solve for A in terms of B:

A = 250 - B

We can then substitute this expression for A into equations 2 and 3:

(250 - B) + B + C = 520

Simplifying this equation, we get:

C = 270

Substituting this value of C into equation 2, we get:

B + 270 = 475

Solving for B, we get:

B = 205

Therefore, Bill has 205 kroner.

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The radius οf the dilated lοgο will be apprοximately 8.66 feet.

The scale factοr is a number that represents the ratiο οf the cοrrespοnding side lengths οf twο similar figures. It can be used tο enlarge οr reduce the size οf a figure by a certain percentage οr factοr.

The area οf the lοgο is given as 5 square feet, and the radius οf the lοgο is 1.25 feet.

Therefοre, we can find the scale factοr as fοllοws:

k = √(A/5) = √(240/5) = √48 ≈ 6.93

Sο the scale factοr is apprοximately 6.93. Tο find the radius οf the dilated lοgο, we multiply the οriginal radius by the scale factοr:

r' = kr = 6.93(1.25) = 8.66

Hence, the radius οf the dilated lοgο will be apprοximately 8.66 feet.

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