Find the slope of a line perpendicular to the line whose equation is 10x-12y=-2410x−12y=−24. Fully simplify your answer

The measure of ∠8 is also 118º because angles opposite the vertex are equal.

To explain further, when two lines intersect, they create four angles. The angles that are directly across from each other are called angles opposite the vertex. These angles are always equal. So, if one angle measures 118 degrees, the angle opposite the vertex will also measure 118 degrees.

In this case, ∠11 and ∠8 are angles opposite the vertex. Therefore, if m∠11 = 118, then m∠8 = 118 as well.

So, the measure of ∠8 is 118.

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Answer:

$0.24 per m

Step-by-step explanation:

Answer: 57.153 kilograms

Step-by-step explanation:

126 lbs is equal to 57.15 kg.

To convert pounds (lbs) to kilograms (kg).

you can use the conversion factor of 1 lb = 0.453592 kg.

To convert 126 lbs to kg:

multiply the weight in pounds by the conversion factor:

126 lbs×0.453592 kg/lb

= 57.152712 kg

Therefore, 126 lbs is equal to approximately 57.15 kg.

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Around 98.4 feet are equal to 30 metres.

The common formula 1 metre (m) = 3.28 feet (ft) will be used to convert measurements from metres to feet. Here, the conversion value is 3.28. To convert 10 metres to feet, for instance, multiply 10 by 3.28, which is 32.8 ft. Therefore, 10 meters = 32.8 feet.

Converting from metres to feet: 3.28084 metres are nearly equal to one metre. Add 3.28084 feet to the given metre value to convert it to feet. Add 3.28084 feet to the given metre value to convert it to feet. For instance, the conversion of 5 metres to feet is as follows: We are aware that the conversion factor for 5 metres to feet is 3.28084.

30 m * 3.280839895 ft/m =98.4251968504 ft

So, 30 metres is roughly equivalent to 98.4 ft.

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This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.

An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:

2x + 3 = 7

contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.

Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:

2x = 4

Then, we can divide both sides by 2 to get:

x = 2

This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.

Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.

To solve for y, we need to isolate y on one side of the equation.

y + 2 = 2x

Subtract 2 from both sides:

y + 2 - 2 = 2x - 2

Simplify:

y = 2x - 2

Therefore, the solution for y is y = 2x - 2.

This is a linear equation with a slope of 2 and a y-intercept of -2. There is exactly one solution for y for every value of x.

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One foot is equal to 12 inches. Therefore, to convert feet to inches, you need to multiply the number of feet by 12.

So, the value of 66.9 feet is equal to 802.8 inches.

Feet is measure from the back of your heel to the tip of your longest toe on the floor using a ruler or tape measure.

Inch is the British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). One inch is  equal to 1/36 of a yard.

Here we want to convert  66.9 feet in inches.

To convert feet to inches, you can multiply the number of feet by 12.

So to convert 66.9 feet to inches:

66.9 feet x 12 inches/foot

= 802.8 inches

Therefore, 66.9 feet is equal to 802.8 inches.

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Answer:

2*4*3

Step-by-step explanation:

The number of blocks is the same as the volume. So start with the formula for the volume of a rectangular prism, that being length*width*height. Then use the picture to count out that the length is 4 blocks, width is 2 blocks and height is 3 blocks. Then we can plug these values into our equation and get the answer: 2*4*3

Answer:

$7500

Step-by-step explanation:

So to find mean the formula is total divided by no. of items or values so therefore the total no. of people is 310+390+380+420 which is 1500 people and if one ticket is $20 ,1500 tickets is 1500 multiplied by 20 which is $30,000 and the mean of one night would by 30,000 divided by 4 nights which is $7500 per night.Hope this helped!

The converted values of the volume fluid ounce to gallons is given by :

128 oz  = 1 gallons.

Relation to convert fluid ounce to gallons in standard form is given by :

1 fluid ounce = 0.0078125 gallons

Now multiply both the side by 128 to get the required relation ,

⇒ ( 128 × 1 ) fluid ounce = ( 128 × 0.0078125 ) gallons

⇒ 128 fluid ounce = 1 gallons

Therefore, using the standard relation of fluid ounce to gallons the value of 128 oz is equal to 1 gallons .

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The required number of pallets used to build one step of the mansion is 1/8 of a pallet of pavers.

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Given:

Total number of pallets used = 3/4,

Number of steps = 6

pallet used to build one step = [3/4] / 6 = 3 / 24

                                               = 1 / 8

As a result, 1/8 of a paver pallet is what is needed to construct one step of the palace.

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Answer:

is 152.4 cm.

If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers. Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational number.

This question is in the form p → q. Based on the Definition of a rational number is a ∈ Z, b ∈ Z ≥0, and  (a ≠ b) then a/b

Irrational Number:

All irrational numbers are real numbers that are not rational numbers. That is, an irrational number cannot be expressed as a ratio of two integers. A line segment is also said to be incommensurable if the ratio of the lengths of the two segments is irrational. That means there is no common "scale". That is, it can be used to express the length of two given segments as an integer multiple of itself.

Proof by inverse:

Inverse (q → p)

¬q≡ x is rational, and ¬p≡ x³ is rational.

∀x ∈ R:(x2∉Q)⇒(x∉Q) .

Using the method of proof by contradiction, let's try to prove that

∃x ∈ R: (x2∉Q) ∧(x∈ Q).

If  x is irrational, then we can represent it the next way:

x= pq, p∈ Z, q ∈N.

Let's raise  x to the 2nd power:

x³= (pq)³ = p³q³.

But  p³ is an integer and q³ is natural:

m = p³∈Z, n= q³∈N.

So we can say that

x³ =mn, m∈ Z, q∈ N,

which means that  x³ is irrational by definition

If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers.

Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational.

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The vertex form of the quadratic equation is:

h(t) = -42*(x - 3)² + 378

And the maximum height is 378 ft.

We know that the height of the projectile is defined by the quadratic equation:

h(t) = -42t² + 252t

Remember that for any quadratic equation:

y = a*x² + b*x + c

The vertex is at:

x = -b/2a

So in this case, the vertex is at:

t = -252/(2*-42)

t = 3

So the maximum height of the projectile is:

h(3) = -42*3² + 252*3 = 378

And thus, the vertex is (3, 378), then the vertex form is:

h(t) = -42*(x - 3)² + 378

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The terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².

The starting side refers to the ray on the x-axis, and the terminal side refers to the other ray. A quadrantal angle is one in which the terminal side is "on" the axis.

The amount of rotation from the initial side to the terminal side is used to calculate the angle. The measurement is positive when done in a anticlockwise manner. The measurement is negative when taken anticlockwise. (A negative value for an angle's measure designates the clockwise "direction" of measurement.)

Coterminal angles are those that share the same terminal side when two angles are in standard position.

Given that, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7).

Using the Pythagoras Theorem:

r² = x² + y²

Substitute the values of x and y:

r² = (-5)² + (14pi)²

r = √25 + 196pi²

The value of cos b is given as:

cos b = x/r

cos b = -5/ √25 + 196pi²

Hence, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².

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Option B is the correct option.

A 10-year-old youngster is having his physical evaluated by the nurse right now. The nurse records that the child weighed 80 pounds during the previous year's checkup. The child's current weight should be around 86 pounds based on growth typical for this age group.

As per the data given in the above question are as bellow,

According to average growth for a 10-year-old boy,

the expected weight gain per year is around 5 to 7 pounds.

Assuming a steady growth rate,

the expected current weight of the child would be:

=80 pounds (last year's weight) + 6 pounds (average weight gain for a 10-year-old boy)

= 86 pounds

Therefore, the expected current weight of the child would be around 86 pounds, which is closest to option B) 85 pounds.

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The numbers between 20 and 30 are: 21,22,23,24,25,26,27,28,29 Even numbers, other than 2 are not prime because by definition of being even they are divisible by 2.

Prime numbers are numbers that can only be divisible by themselves or 1. Examples of prime numbers include 2, 3, 5, 7, 11, and so on. In this tutorial, you will learn how to check if a number is a prime number. We will discuss how to write a prime number program in python – this program prints numbers that are prime numbers within a given range.

There is just one perfect number between 20 and 30. The number 28 is a perfect number. Its factors are 1, 2, 4. 7, 14, and 28. Why is 2 the only prime number? Two is a prime because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two. That leaves only the odd numbers.

Hence, The numbers between 20 and 30 are: 21,22,23,24,25,26,27,28,29 Even numbers, other than 2 are not prime because by definition of being even they are divisible by 2.

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103 in decimal terms can be denoted by simply dividing the term by 100 so the value will be given as 1.03.

The division method can be used to convert 103/100 to a decimal. Here is a brief recap on fractions before we go to the method: A fraction is a representation of a number that has been divided into two parts: the numerator, which is the number at the top, and the denominator, which is the number at the bottom. Divide the numerator (103 in this case) by the denominator (100 in this case) to produce a decimal using the division method:

100 (denominator) minus 103 (numerator) equals 1.03.

So there you have it! When you convert 103/100 to a decimal, the result is 1.03.

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Option C. Regression models can be used for both linear and non-linear associations, but they are particularly well-suited for linear relationships.

Regression models are useful for modeling the relationship between variables, particularly for predicting the value of one variable based on the value of another.

Linear regression models are used for linear associations, while non-linear regression models are used for non-linear associations. However, even for non-linear associations, linear regression models can be useful for approximating the relationship between variables in certain cases. Nonetheless, in general, non-linear regression models are more appropriate for non-linear associations.

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Answer: 20.8

Step-by-step explanation: .

Some possible speeds to the thousandth of a mile per hour are 81.729 mph, 81.730 mph, 81.731 mph

To find some possible speeds to the thousandth of a mile per hour, we can look at the two nearest thousandths above and below the given speed of 81.73 mph.

The nearest thousandth below 81.73 is 81.729, and the nearest thousandth above is 81.731. Therefore, some possible speeds to the thousandth of a mile per hour are:

81.729 mph

81.730 mph

81.731 mph

All these speeds are all within 0.001 mph of the given speed of 81.73 mph.

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Answer:

2 feet.

Step-by-step explanation:

Since the volume of cube A is 64, we can divide the edge (4) by two because cube B can only hold half as much liquid.

Thus, the edge of cube b is 2 feet.

Hope it helped!

If a bee can fly at an average rate of 7 miles per hour and it flew nonstop for 18 hours, we can find the distance it traveled by multiplying its average speed by the time it flew:

distance = speed x time

distance = 7 miles/hour x 18 hours

distance = 126 miles

Therefore, the bee would have traveled 126 miles in 18 hours.

Answer:

126 m (Miles)

Step-by-step explanation:

distance travelled = speed×time = 7×18 = 126 miles

The Inverse tangent is defined as the mathematical function that returns the angle whose tangent is a given number and the step to calculate the inverse tangent has been explained

Inverse tangent (also known as arctangent) is a mathematical function that returns the angle whose tangent is a given number. The inverse tangent function is denoted by "tan^-1" or "arctan".

To calculate the inverse tangent of a number, you can follow these steps:

Determine the input value (the number whose inverse tangent you want to find).

Use the inverse tangent function on your calculator.

The output of the inverse tangent function will be in radians. If you want the result in degrees, you can convert it using the formula: degrees = radians * (180/π), where π (pi) is approximately 3.14159

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The total surface area is 46.43 square centimeter.

The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.

Given that, the area of the rectangle is 34.56 cm².

Here, the diameter is 2.75 cm, so radius =2.75/2=1.375 cm

Cylinder is made up of 1 rectangle and 2 circles.

Now, area of 2 circles =2πr²

= 2×3.14×1.375²

= 11.87 cm²

So, total surface area = 34.56+11.87

= 46.43 cm²

Therefore, the total surface area is 46.43 square centimeter.

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The big idea in math are abstraction and infinity.

Mathematics is a vast and fascinating subject that involves exploring the concepts of numbers, shapes, patterns, and more. Within this subject, there are several big ideas that serve as the foundation for various mathematical theories and principles. One of the most prominent big ideas in math is that of abstraction.

Abstraction is a concept that allows mathematicians to generalize ideas and create models that can be applied to a wide range of situations. It involves taking a complex problem and breaking it down into smaller, more manageable components that can be easily analyzed and understood. This process often involves using symbols and equations to represent real-world situations and finding patterns and relationships between them.

Another big idea in math is that of infinity. This idea involves exploring the concept of endlessness and how it applies to different mathematical concepts. Infinity plays a critical role in calculus, where it is used to describe the behavior of functions as they approach limits and infinity.

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The required proof is inductively and deductively that the sum of six consecutive numbers is divisible by 3 in the solution part.

Deductive reasoning is a method of reasoning in which conclusions are drawn based on premises that are known or assumed to be true.

Let's assume that the six consecutive numbers are n, n+1, n+2, n+3, n+4, and n+5.

We have to show that the sum of these numbers is divisible by 3.

First, we can express the sum of the six numbers as follows:

n + (n+1) + (n+2) + (n+3) + (n+4) + (n+5)

Simplify the expression by combining like terms:

6n + 15

Next, factor out 3 from the expression:

6n + 15 = 3(2n + 5)

Since 2n + 5 is an integer, we can see that 3(2n + 5) is divisible by 3. Therefore, the sum of six consecutive numbers is divisible by 3.

This is an example of deductive reasoning because we started with a premise (the assumption that the six consecutive numbers are n, n+1, n+2, n+3, n+4, and n+5) and used logical steps to arrive at a conclusion (that the sum of the six numbers is divisible by 3).

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Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer: 16 degrees

Step-by-step explanation:

Cody's profit from selling 9 scarves at $25 each, after spending $34 on materials and paying a $10 fee to sell at the craft fair, was $181.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To calculate Cody's profit using the expression np - (m + 10), we need to substitute the given values:

n = 9 (number of scarves sold)

p = $25 (price per scarf)

m = $34 (amount spent on materials)

Using these values, we can calculate Cody's profit as:

= np - (m + 10)

= (9 * 25) - (34 + 10)

= 225 - 44

= $181

Therefore, Cody's profit from selling 9 scarves at $25 each and spending $34 on materials is $181.

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According to CDC data as of 2021, the average height for adult men in the United States is around 5 feet 9 inches (69.2 inches or 175.7 cm), and the average height for adult women is around 5 feet 4 inches (64.2 inches or 162.5 cm).

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

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