11) How many kilograms of How many kilograms of calcium are there
in 173 pounds of calcium? (1 lb = 454 g; 1
kg 1000 g)
A) 78.5 kg
B) 110 kg
C) 78500 kg D) 1.10 kg

Answer:

Solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

Step-by-step explanation:

We are given equations:

\(y=x-1---eq(1)\\2x-y=0---eq(2)\)

We need to solve by Elimination method.

Elimination method: Add or subtract the equations to get an equation in one variable.

Rearranging the equation 1 we get

\(-x+y=-1---eq(1)\\2x-y=0---eq(2)\)

Add eq(1) and eq(2)

\(-x+y=-1\\2x-y=0\\------\\x=-1\)

So, after eliminating y we get x=-1

Now finding y by putting x in eq(1)

\(y=x-1\\y=-1-1\\y=-2\)

We get y=-2

So, solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

So the maximum number of edges in an undirected graph with 100 vertices is 4950.

In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.

In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:

n * (n-1) / 2

Substituting n = 100, we get:

100 * 99 / 2 = 4950

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Answer:

y = 1/25

Step-by-step explanation:

Reciprocal of y^(1/2)  : 1/y^(1/2)

1/y^(1/2) = 5

y^(1/2) = 1/5

y = (1/5)^2

The value of K is 3.

Value is the worth of something, whether it be tangible or intangible. It is often measured in terms of money, but it can also take the form of respect, honor, or admiration. Value can also refer to the worth of something in terms of its usefulness, importance, or desirability. Ultimately, value is based on personal opinion, so it is subjective.

The graph of g(x) = (1/3)^x – h + k is obtained by translating f(x) = (1/3)^x horizontally by h units and vertically by k units. The vertical translation of 3 units will shift the graph of f(x) up by 3 units on the y-axis, which leads to a value of 3 for K.

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To provide an informed opinion on whether Jonas made the right choice to escape, I would need more information about the circumstances and the consequences of his decision.

In the context of Lois Lowry's novel "The Giver," Jonas's escape can be seen as a pivotal moment where he defies a dystopian society to seek freedom and individuality. The oppressive and controlled nature of his community, where emotions and memories are suppressed, may make escaping seem like the right choice for personal growth and autonomy. By leaving, Jonas gains the opportunity to experience a wider range of emotions and reconnect with his humanity.

However, the consequences of Jonas's escape should also be considered. Leaving his community means leaving behind loved ones and potentially facing unknown dangers and challenges in the outside world. The impact on his family and friends, as well as the potential risks he might encounter, must be weighed against the desire for personal freedom.

Ultimately, the judgment of whether Jonas made the right choice to escape depends on one's values, priorities, and the specific details of his situation. It is a subjective evaluation that can vary depending on individual perspectives and interpretations of the story.

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To report the $39.1 million debt on its December 31, 2024, balance sheet, Bahamas Airlines would classify the debt into two categories: current liabilities = $6,200,000 and long-term liabilities =  $32,900,000.

To report the $39.1 million debt on its December 31, 2024, balance sheet, Bahamas Airlines would classify the debt into two categories: current liabilities and long-term liabilities.

Current Liabilities: The portion of the debt that is due within the next year, which is $6.2 million, would be reported as a current liability. This amount represents the short-term portion of the debt that needs to be repaid within the next year.

Long-Term Liabilities: The remaining portion of the debt, which is the difference between the total debt and the current liability, would be reported as a long-term liability. In this case, it would be $39.1 million - $6.2 million = $32.9 million.

Therefore, Bahamas Airlines would report the $39.1 million debt on its December 31, 2024, balance sheet as follows:

Current Liabilities:

Debt due within the next year: $6,200,000

Long-Term Liabilities:

Debt due after one year: $32,900,000

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Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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In this case, the total production rate is 564 pieces per hour, and there are 9 machines. So the production rate per machine is 564 / 9 = 62.67 pieces per hour.

To calculate the time standard in minutes per piece (before allowances), we need to consider the production rate, the number of machines, and the number of operators.

Given that 9 machines are producing 564 pieces per hour, we can calculate the production rate per machine by dividing the total production rate by the number of machines:

Production rate per machine = Total production rate / Number of machines

In this case, the total production rate is 564 pieces per hour, and there are 9 machines. So the production rate per machine is 564 / 9 = 62.67 pieces per hour.

Next, we need to factor in the number of operators required. Since 3 operators are required, the time standard per piece can be calculated by dividing the production time by the number of pieces:

Time standard per piece = (60 minutes / Production rate per machine) / Number of operators

By plug in the given values into the formula and performing the calculation, we can determine the time standard in minutes per piece before allowances.

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Since the line of best fit represents the best linear model given the data, we can see that if y = 44 (pounds), then we are looking at the expected length of a catfish that weighs 44 pounds.

Cuboid

Volume:-

Step-by-step explanation:

The solution of the given problem of function comes out to be the quadratic function's value at x = 6 is -34.

The study of mathematics encompasses arithmetic, numerals and their subcategories, along with anatomy, patterns, and both real and imagined geographic places.

A function describes the connections between variables elements, each of which comes with an associated result. A function is composed of an array of parts that, when combined, result in a distinct outcome for each input.

We'll refer to the quadratic function as f. (x). The factors a, b, c, and d should be found so that:

\(f(0) = 4\sf(1) = -1\sf(2) = -4\sf(3) = -1\)

A third-degree polynomial has the following common form:

F(x) = Ax³ Bx², Cx, and D

Using f(0), f(1), f(2), and f(3) as inputs, we obtain:

\(8a + 4b + 2c + d = -4 27a + 9b + 3c + d = -1 d = 4 a + b + c + d = -1\)

We can find solutions for the factors a, b, c, and d using these equations. As a result of solving the set of equations,

a = -1/3

b = 4/3

c = -7/3

d = 4

Consequently, the polynomial function that matches the chart is as follows:

\(f(x) = -1/3 x^3 + 4/3 x^2 - 7/3 x + 4\)

We only need to enter x=6 into the function to determine the value of the function at that point:

\(f(6) = -1/3 (6)^3 + 4/3 (6)^2 - 7/3 (6) + 4\)

\(f(6) = -72 + 48 - 14 + 4\)

\(f(6) = -34\)

Consequently, the quadratic function's value at x=6 is -34.

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The sheet required to cover the rhombus is: 300 sq. cm.

Thus:

a = 40 cm

b = 15 cm

Sheet required to cover the rhombus = area of the rhombus.

Area = (40 × 15)/2

Area = 300 sq. cm.

Therefore, the sheet required to cover the rhombus is: 300 sq. cm.

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Answer:

Step-by-step explanation:

Answer:

The angular position of the minute hand at 3:30 is 2π radians.

Step-by-step explanation:

In a clock, the minute hand completes one full revolution (360 degrees) in 60 minutes or 2π radians.

At 3:30, the minute hand is at the 6 o'clock position, which corresponds to 180 degrees or π radians.

Since 3:30 is halfway between the 3 and 4 on the clock, the minute hand has moved halfway between the 6 o'clock position and the 12 o'clock position.

Therefore, the angular position of the minute hand at 3:30 is:

θ = π + (1/2) * (2π) = π + π = 2π radians.

Hence, the angular position of the minute hand at 3:30 is 2π radians.

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After answering the presented question, we may conclude that  So, the expressions correct answer is option B: -2x + 1.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

expression that is equivalent to 1/3 (9-6x+12),

9 - 6x + 12 = 21 - 6x

1/3 (21 - 6x) = (1/3) * 21 - (1/3) * 6x = 7 - 2x

Therefore, the expression that is equivalent to 1/3 (9-6x+12) is:

7 - 2x

So, the correct answer is option B: -2x + 1.

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Answer:

a

Step-by-step explanation:

Answer:

The answers that I got that were correct are: B, C, and E

Explanation:

The answer for this problem is 10 when you try to Find the percentage of one number in relation to another with the formula Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.

Brainlist Please!

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

24/7

Step-by-step explanation:

yeah-ya............. right?

Answer:

\( tan \: m = \frac{24}{7} \)

Answer:

x=-2, y=-6

Step-by-step explanation:

Simple substitution.

Since y is isolated in one of the equations already, you can plug it into the second equation.

x - 2(3x) = 10

x - 6x = 10

-5x = 10

x = -2

Sub. x = -2 into 3x = y:

3(-2) = y

y = -6

Answer:

Below.

Step-by-step explanation:

50+22x=116

Subtract 50 from both sides.

22x/22=66/22= 3

The plumber was at my house for 3 hours.

If the final bill was $116, the plumber was at your house for 3 hours.

The plumber charges a flat rate of $50, so the remaining bill of $116 - $50 = $66 is the hourly charge.

Since the hourly charge is $22, the plumber was at the house for $66 / $22 = 3 hours.

Therefore, the plumber was at your house for 3 hours.

Here's a table that summarizes the steps:

Step Description Value

1 Flat rate charge $50

2 Hourly charge $66

3 Hourly rate $22

4 Hours worked $66 / $22 = 3 hours

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add all of them together

Step-by-step explanation:

ADDD ALL OF THEM TOGETHER IT WORKS AND IS HELPFULL

The volume of the jug = 38 fluid oz

Maximum error = ±0.03

This means that the volume of juice that can be contained by the jug will range between (38-0.03) and (38+0.03)

The absolute value inequality representing the range of volumes, x, in which the orange juice may be filled is therefore:

The Interpretation of the exchange rates should be done based on the context and relevant local currency values.

The given exchange rate board displays the currency exchange rates for several countries. It provides the buying and selling rates for various currencies. Here is the interpretation of the information provided:

1. Currency: The first column lists the currencies for which the exchange rates are provided. The currencies mentioned in the table are USA (United States Dollar), EURO (Euro), GBP (British Pound), JPY (Japanese Yen), SGD (Singapore Dollar), HKD (Hong Kong Dollar), AUD (Australian Dollar), and NEW ZEALAND NZD (New Zealand Dollar).

2. Buying Rate: The buying rate represents the amount of local currency required to purchase one unit of the foreign currency. For example, to buy 1 USD (United States Dollar), you would need 35.03 units of the local currency (not specified in the table) or to buy 1 EURO, you would need 45.72 units of the local currency.

3. Selling Rate: The selling rate represents the amount of local currency received when selling one unit of the foreign currency. For instance, if you sell 1 USD, you would receive 36.10 units of the local currency, and if you sell 1 EURO, you would receive 46.86 units of the local currency.

4. Note: The table mentions "Notes Notes" under the "Buying" and "Selling" columns. This indicates that the exchange rates provided are for banknotes (physical currency) transactions rather than electronic transfers or other forms of foreign exchange.

It is important to note that the actual local currency and the date of the exchange rates are not specified in the given information.

Therefore, the interpretation of the exchange rates should be done based on the context and relevant local currency values.

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If one math student john, can solve 6 math problems in 20 minutes while another student, juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. The person that work faster is John.

First step is to find the speed of John

Speed =  Number of math problems /Number of minutes  

Speed=  6/20

Speed = 0.3 problem per minute

Second step is to find the speed of Juaquine

Speed =  1 / 4  

Speed =  0.25 problem per minute

Hence.

0.3 ≥ 0.25

Therefore John has the fastest speed.

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Answer:

150

Step-by-step explanation:

The area of the trapezoid is (½)(14+10)(2) = 24.

The area of the rectangle is (14)(9) = 126.

Adding these together, we get 126 + 24 = 150.

Answer:

826,783

82*6* (we go up)

826,783 is rounded to 830,000

Step-by-step explanation:

Answer: 140

Step-by-step explanation:

Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.

Answer:

3x at the power of 2 -2x+21

ask for explanation if needed

To dilute 40 quarts of 5% acid solution to a 2% solution, you need to add x quarts of water. To find x, we can use the following formula: Initial amount of acid × initial concentration = final amount of acid × final concentration We know the initial amount of acid is 5% of 40 quarts, which is 2 quarts.

So the formula becomes: 2 quarts × 5% = (40 + x) / 50 quarts × 2%Now we can solve for x:2 × 40 × 5% = (40 + x) / 50 × 2%400% / 2% = 40 + xx = 400 - 40x = 360 quarts Therefore, you need to add 360 quarts of water to 40 quarts of 5% acid solution to dilute it to a 2% solution.

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Answer: The answer is 3/8.

Learn how to add and subtract fractions

Khan Academy Video: Adding and subtracting fractions

The value of expression in fraction form is,

⇒ 3/8

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 7/8 - 1/2

Now, We can simplify as;

⇒ 7/8 - 1/2

⇒ (7 - 4) / 8

⇒ 3 / 8

Thus, The value of expression in fraction form is,

⇒ 3/8

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