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Answer : 12312

Step-by-step explanation : According to BODMAS, Addition (+) comes first

Hence --  9 + 19 + 12 + 12323 = 12363

               12363 - 12 - 39  = 12363 - 51

                                          = 12312

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Measurement is the act of comparing an object's properties to a standard quantity. It is crucial in determining an object's quantity.

For instance, to measure the height of a tin, one must measure the vertical distance from the base to the top.

The measurement must be in millimeters, and a ruler is the most suitable tool.

To do this, place the ruler vertically with point 0 at the baseline of the tin, mark the point where the ruler coincides with the top, and read the height to the nearest millimeter.

To measure the height of a tin in millimeters, follow these steps:

Obtain a ruler that has millimeter markings.

Place the tin upright on a flat surface.

Position the ruler vertically with its zero point aligned with the base of the tin.

Carefully move the ruler up or down until it reaches the top edge of the tin.

Read the measurement value at the point where the ruler aligns with the top edge of the tin.

Record the height measurement in millimeters to the nearest whole number.

For example, if the measurement value is 65.5 millimeters, then the real height of the tin in millimeters is 66 millimeters (rounded to the nearest whole number).

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List the procedure to measure the height of a tin in mm and write the real height in mm

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

Answer:

3 more kids

Step-by-step explanation:

Answer:

3 kids can join in on the fun.

Step-by-step explanation:

Total number of kids who can jump on the trampoline = 6

Kids jumping currently = 3

Therefore, The number of kids who can join the fun will be the difference of the total number of kids who can jump on the trampoline and kids jumping currently.

= 6 - 3

= 3

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Answer:

The Lee Resolution, also known as the resolution of independence, was an act of the Second Continental Congress declaring the Thirteen Colonies to be independent of the British Empire. Richard Henry Lee of Virginia first proposed it on June 7, 1776. It is the earliest form and draft of the Declaration of Independence.

Step-by-step explanation:

By using the unit conversion method, 2 million seconds converted to days are equal to 23 days.

A unit conversion expresses the same aspect as another unit of measurement. For example, time can be expressed in minutes rather than hours, and distance can be represented from miles to kilometers, feet, or any other unit of measurement.

In this situation, you need to convert between seconds and days:

A day consists of 24 hours. Therefore, the fraction 24 hours/day is equal to 1. There is no value change when multiplying a number by 1. The same holds true for the conversion factors 1 hour/60 minutes and 1 minute/60 seconds.

If you multiply 2,000,000 seconds (2 million seconds) by these conversion factors, you will change the seconds to days:

2,000,000 sec. x (1 min/60 sec.) x (1 hour/60 min) x (1 day / 24 hours)

Therefore, all that is required is to divide 2,000,000 by the product of 60, 60, and 24.

(2,000,000) / (60*60*24) = 2,000,000 / 86,400 = 23.148 days ≈ 23 days

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Answer:

It depends if the number is an integer {-1,+7,-7}

e.g -7+4

these numbers are integers that is why you can write both addition and subtraction expressions

Answer:

A number cube

Step-by-step explanation:

A coin a 5-sector spinner a number cube a bag of 11 marbles

A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.

As Coin has only 2 outcomes "Head" and "Tail".

A 5-sector sector spinner has only 5 outcomes we need six outcomes.

A bag of 11 marbles has no differentiated with respect to colors etc.

Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.

Answer:

c

Step-by-step explanation:

Answer:

The pen is $52.50 and the cost of the pencil is $2.50.

Step-by-step explanation:

What is the answer if a pen and a pencil cost 55 dollars and the pen cost 50 more dollars than the pencil​?

—

Step 1: Let Statements

Let a be the cost of the pen

Let b be the cost of the pencil

Step 2: Write Equations

a + b = 55

a = 50 + b

Step 3: Find POI

Using substitution to find the POI of both equations:

50 + b + b = 55

50 + 2b = 55

2b = 55 - 50

2b = 5

b = 5/2 or 2.5

Substitute b = 5/2 to solve for a

a = 50 + b

a = 50 + 2.5

a = 52.5

Therefore, a = 52.5 and b = 2.5

Step 4: Concluding Sentence

The cost of the pen is $52.50 and the cost of the pencil is $2.50.

The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.

(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.

(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:

w = a*u + b*v

Solving the system of equations formed by equating corresponding components, we have:

-2 = 3a - 2b

2 = -a + 2b

6 = -2a - 6b

Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.

(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:

A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]

We can row-reduce matrix A to its echelon form:

[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]

The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.

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We are given that the expected value of X, the amount in claims collected by a randomly chosen policy holder, is $77, and the standard deviation of X, denoted as O(X), is $57.

To find the standard deviation of Y, O(Y), we use the properties of variances and standard deviations. Firstly, note that Y = 54 + 1.03X. The expected value of Y, E(Y), can be calculated as E(Y) = E(54 + 1.03X) = 54 + 1.03E(X) = 54 + 1.03 * 77 = $135.81.

To find the standard deviation of Y, we use the fact that the standard deviation of a constant times a random variable is equal to the absolute value of the constant multiplied by the standard deviation of the random variable. In this case, we have Y = 54 + 1.03X, so O(Y) = |1.03| * O(X) = 1.03 * $57 = $58.71.

The standard deviation of Y, O(Y), is approximately $58.71. This means that the amount in claims for a randomly chosen new customer can be expected to deviate from the expected value, $135.81, by around $58.71 on average.

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Answer:

8/25 or 0.32

Step-by-step explanation:

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Factor when dividing the function the remainder is zero. The factorized form of the function  is 3(x^2-2x-80).

A factor of a function is a factor which when multiplied by another the result is the function itself.

here, we have,

We know that in order to factorize a function of the second-order, we need to take the common terms out from the expression,

f(x) = 3x^2 - 6x - 240

now,

Taking 3 as the common terms out of the entire function,

f(x) = 3x^2 - 6x - 240

     = 3(x^2-2x-80)

Hence, the factorized function, f(x) = 3x^2 - 6x - 240 is 3(x^2-2x-80)

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Answer:

J ' (2, -3)

K ' (5, -2)

L ' (6, -7)

The diagram is below

=======================================================

Explanation:

The y axis reflection rule you use is \((x,y) \to (-x,y)\)

The x coordinate flips in sign, positive to negative or vice versa.

The y coordinate stays the same.

For example, the point J(-2,-3) moves to J ' (2, -3). The same thing happens to the other points as well.

Check out the diagram below.

The standard form of the given decimal number is 803,133.

The given decimal number in words is "eight hundred three and one hundred thirty-three thousands". We have to write this decimal number in standard form. So, let's do it below.

The standard form of a decimal number is the way it's written normally, such as 3,040.00 instead of 3.04 × 103. To write the decimal number in standard form, we have to represent it in the form of a sum of its place values, which have a power of ten (10).

Therefore the standard form of the given decimal number is 803,133.

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Answer:

x^2+x

Step-by-step explanation:

Use the distributive property: x*x+x*1=x^2+x

Step-by-Step Solution:

Finding the product means to find what the expression would equal if it was multiplied.

In this equation, we need to multiply x to x, and 1.

x(x) + x(1) = x² + x

Answer:

=50x2−1400x+4800

Step-by-step explanation:

The mean time to repair (MTTR) is 20 hours.

What is  MTTR?

Mean time to repair = Total hours spent on corrective maintenance / Number of maintenance actions completed

Mean time to repair = 1,200/60

Mean time to repair = 20 hours

Therefore, the mean time to repair is 20 hours.

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Answer:

The answer is (x - 9)(x - 2), or x2 - 11 + 18.

Step-by-step explanation:

Well, think about it. What two numbers add to -11 and multiply to get 18? -9 and -2 add to get -11 and multiply to get 18.

Answer:

Milk: 2 cups

Flour: 5 cups

Sugar: 4 cups

Step-by-step explanation:

(First divide all ingredients by 2)

Milk: 3 -> 1.5

Flour: 5 -> 2.5

Sugar: 6 -> 3

(Next, multiply all by 4)

Milk: 1.5 -> 6

Flour: 2.5 -> 10

Sugar: 3 -> 12

(Divide by 3)

Milk: 6 -> 2

Flour: 10 -> 5

Sugar: 12 -> 4

2 cups of milk and 10/3 cups of flour are needed, when the amount of sugar is 4 cups

The ratio is given as:

Milk : Flour : Sugar = 3 : 5 : 6

When the amount of sugar is 4 cups, we  have:

Milk : Flour : 4 = 3 : 5 : 6

Multiply by 4/6

Milk : Flour : 4 = 3 * 4/6 : 5 * 4/6: 6 * 4/6

Evaluate

Milk : Flour : 4 = 2 : 10/3: 4

By comparison, we have:

Milk = 2 and Flour = 10/3

Hence, 2 cups of milk and 10/3 cups of flour are needed

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The value of a is given by the third root of the function.

The function for this problem is defined as follows:

f(x) = x(x - 2)(x - a).

According to the Factor Theorem, the function is defined as a product of it's linear factors, hence the roots of the function are given as follows:

Hence the value of a is the third root of the function, which is the value on the graph at which the function crosses the x-axis along with x = 0 and x = 2.

The problem is incomplete, hence the general procedure to obtain the value of a is presented.

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There is no inherent relationship between the median and the average. It is possible for the median to be greater than the average or vice versa, depending on the specific values in the set.

To determine whether the median of the 5 numbers is greater than the average (arithmetic mean), we need the actual values of the numbers. Without specific values, we cannot provide a definitive answer. However, I can explain the concept of the median and the average to help you understand how they relate to each other.

The median is the middle value of a set of numbers when they are arranged in ascending or descending order. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

The average, or arithmetic mean, is calculated by summing up all the values in a set and dividing the sum by the number of values.

In general, there is no inherent relationship between the median and the average. It is possible for the median to be greater than the average or vice versa, depending on the specific values in the set.

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Answer:

21

Step-by-step explanation:

CANT SEE THEM

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

The ratio of the trigonometric function of the right triangle, cos A is 3/5.

Given that,

In △ABC , ∠C is a right angle.

Then the opposite side to the right angle will be the hypotenuse.

So AB is the hypotenuse.

Sin A = BC / AB [ Since sine of an angle is opposite side / hypotenuse]

BC / AB = 4/5

BC = 4 and AB = 5

Using the Pythagoras theorem,

Third side, AC = √(5² - 4²) = 3

Cos of an angle is the ratio of adjacent side to the hypotenuse.

Cos A = 3/5

Alternatively, we can use the identity,

sin²A + cos²A = 1

to find the value of cos A.

Hence the value of cos A is 3/5.

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