if you select one hundred indium atoms at random, what would the total mass be? a) exactly 11,482.0 u b) less and 500.00 u c) slightly more than 11,482 amu d) slightly less than 11,482 amu

Answer:

x = 4.

Step-by-step explanation:

64 = x^3

x^3 = 64

\(\sqrt[3]{x^3} = \sqrt[3]{64}\)

\(\sqrt[3]{x^3} = \sqrt[3]{4 * 4 * 4}\)

\(\sqrt[3]{x^3} = \sqrt[3]{4^3}\)

x = 4.

Hope this helps!

Answer:

x = 3

The cube root of 64 is 4 because 4 x 4 x 4 = 64.

Cube roots have 3 identical factors, while square roots have 2 identical factors.

Hope this helps you!

Answer:

huhh

Step-by-step explanation:

In the given case, 36 square feet will need to be painted.

To calculate the surface area that needs to be painted, we need to determine the total surface area of both the square prism and the square pyramid, and then subtract the area of the base of the pyramid, as it will not be painted.

The surface area of a square prism with base dimensions of 8 ft by 8 ft and height of 9 ft is:

Top and bottom: 8 ft x 8 ft = 64 sq ft each (2 x 64 = 128 sq ft)

Four sides: 8 ft x 9 ft = 72 sq ft each (4 x 72 = 288 sq ft)

Total surface area of the prism: 2(64 sq ft) + 4(72 sq ft) = 256 sq ft

The surface area of a square pyramid with slant height of 5 ft can be calculated by finding the area of each face and adding them together. Each face is a triangle, and the area of a triangle can be calculated using the formula: (base x height) / 2.

Base: 8 ft x 8 ft = 64 sq ft

Each triangular face: (1/2)(8 ft)(5 ft) = 20 sq ft

Total surface area of the pyramid: 4(20 sq ft) + 64 sq ft = 144 sq ft

Therefore, the total surface area that needs to be painted is:

256 sq ft + 144 sq ft - 64 sq ft = 336 sq ft

So, 336 square feet will need to be painted.

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The measurements of the angle m∠EFG and m∠​GFH are 56 degrees and 124 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

∠EFG and ∠GFH are a linear​ pair

As we know the staright line has an angle of 180 degrees

∠EFG +∠GFH =180

2n + 20 + 5n + 34 = 180

7n = 54 = 180

7n = 180 - 54

7n = 126

n = 18

m∠EFG = 2n + 20  = 2(18) + 20 = 56 degrees

m∠​GFH = 5n + 34 = 5(18) + 34 = 124 degrees

Thus, the measurements of the angle m∠EFG and m∠​GFH are 56 degrees and 124 degrees.

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Answer:

2+1=3, 3-3=0

Step-by-step explanation:

Yes, the point (2,-1) lies on the curve y=1/(1-x) as when x=2, y=1/(1-2)=1/(-1)=-1, which is equal to -1.

y=1/(1-x)

y=1/(1-2)

y=1/(-1)

y=-1

Yes, the point (2,-1) lies on the curve y=1/(1-x). To prove this, we can substitute the x-coordinate of the point (2) into the equation. When x=2, the equation becomes y=1/(1-2). Simplifying this equation, we get y=1/(-1) which is equal to -1. Thus, y=-1, which is the same as the y-coordinate of the point (-1). This means that the point (2,-1) does indeed lie on the curve y=1/(1-x). This can be further verified by plotting the point (2,-1) on a graph and seeing that it is indeed located on the curve y=1/(1-x).

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The payment of the water bill for the household in Lahan can be calculated based on the consumption of 32 units of water using a half-inch pipe, according to the rules implemented by NWSC, which includes a 50% sewerage service charge. If the payment is made within the first month of the bill issued.

To calculate the bill, we need to consider the rate per unit of water consumption and the sewerage service charge. The specific rates may vary depending on the location and the water utility company. Therefore, without knowing the specific rates, it is not possible to provide an accurate calculation of the bill amount.

The sewerage service charge is typically a percentage of the water bill and covers the cost of wastewater treatment and maintenance of sewerage systems. In this case, a 50% sewerage service charge is mentioned, which means that half of the water bill amount would be added as a sewerage service charge.

To determine the exact payment of the bill, it is necessary to know the specific rates per unit of water consumption and the sewerage service charge implemented by NWSC in Lahan. With this information, the total bill amount can be calculated by multiplying the water consumption (32 units) by the rate per unit and then adding the sewerage service charge (50% of the water bill amount).

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64.77% of a given amount remains after 900 years.

To determine the percentage of radioactive radium remaining after 900 years, we'll use the half-life formula:

Final Amount = Initial Amount * \(1/2^{(time elapsed / half-life)}\)

In this case, the half-life is 1599 years and the time elapsed is 900 years. We want to find the percentage remaining, so let's assume the initial amount is 100%.

Final Amount = 100 * \((1/2)^{(900 / 1599)}\)

Now, we'll calculate the exponent:

Exponent = 900 / 1599 ≈ 0.5635

Then, we'll compute the final amount:

Final Amount ≈ 100 * \((1/2)^{0.5635}\) ≈ 100 * 0.6477 ≈ 64.77%

After 900 years, approximately 64.77% of the initial radioactive radium remains. This percentage was found using the half-life formula, which accounts for the exponential decay of radioactive substances over time.

The formula shows how the remaining amount of a substance decreases as time progresses based on its half-life, which is the time it takes for half of the substance to decay. In this scenario, radium's half-life of 1599 years and the 900-year time frame were used to determine that roughly 64.77% of the initial radium remains.

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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Answer:

it would be a

Step-by-step explanation:

8x4=32

The base of the given triangle is calculated as: 16 ft

The formula that is used to calculate the area of a triangle is expressed as:

Area of triangle= ½ × base × height

We are given that:

Area = 32 ft²

Height = 4 ft

Thus:

32 = ½ × base × 4

32 = 2 * base

base = 32/2

base = 16 ft

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The given linear system can be represented as a matrix equation:

A * X = B

where `A` is the coefficient matrix, `X` is the variable matrix, and `B` is the constant matrix.

The augmented matrix for the system is:

[-6 1 4 -2 | 1]

Using Gaussian elimination or row reduction, we can transform the augmented matrix to its row-echelon form:

[1 -1/6 -2/3 1/3 | -1/6]

[0 1 2/3 -1/3 | 1/6]

[0 0 0 0 | 0 ]

This row-echelon form implies that the system has a dependent variable since the third row consists of all zeros. In other words, there are infinitely many solutions to the system. The dependent variable, denoted as `x3`, can be expressed in terms of free parameters `s1` and `s2`.

Therefore, the set of solutions to the given linear system is:

x1 = -1/6 + (2/3)s1 - (1/3)s2

x2 = 1/6 - (2/3)s1 + (1/3)s2

x3 = s1

x4 = s2

where `s1` and `s2` are arbitrary real numbers that serve as parameters. These equations represent the general form of the solution, accounting for the infinite possible solutions.

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Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

Answer:

Step-by-step explanation:

1). m ∠ 1 = 65 °

2). m ∠ 2 = 75 °

3). 180 °

4). m ∠ 7 = 40 °

5). ∠ 7 and ∠ 6 are congruent angles

6). m ∠ 6 = 40 °

Additional requirements in figure :-

Mark point :-

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

✿Now let the left angle be x

we know :

Area of rectangle = Length × Breadth

STEPS :

Now let's find EF :

To find A

F :

In triangle AFE:

We know :

Area of triangle =( Height × Base)/2

Steps :

To find area of figure :

______________________

~WindyMint

Answer:

\(\displaystyle 62\:in.^2\)

Step-by-step explanation:

▽ \(\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A\)

▯ \(\displaystyle hb = A\)

All edges meet at right angles, therefore resulting in this:

\(\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}\)

I am joyous to assist you at any time.

The constraint that is NOT valid is " \(y > = 5x + 30\) "

To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.

To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.

The constraints are as follows:

By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.

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We have given two angles, so the third angle is also known since all three angles sum to 180°.

By, these given facts we can create infinite number of triangles of same ratio of angles but of different sises.

But, we have also given the length of sides.

Now, we can only have one triangle of with such an information because changing the length of other side will disobey Angle Side Angle postulate.

Therefore, we can only have 1 triangle with all these information.

Hence, this is the required solution.

Answer:

9

Step-by-step explanation:

\( {32}^{2} = 1024 = 1015 + 9\)

9 must be added to 1015 to make it a perfect square.

Answer:

9 should be added to 1015 to be a perfect square

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Answer:

AB PARALLEL TO DC AND AD WITH BC

Answer:

y = 63°

Step-by-step explanation:

ABCD is a kite.

The main diagonal BD bisects the opposite angles, thus

∠ DBC = ∠ DBA = 35°

The sum of the 3 angles in Δ BCD = 180° , thus

y = 180° - (35 + 82)° = 180° - 117° = 63°

The best statistic to use to describe each variable will depend on the specific characteristics of the data distribution and the research question of interest. However, in general:

LOS (length of stay): The most appropriate statistic to use to describe LOS would be the median, as it is less affected by outliers and skewed distributions than the mean. The median represents the central value of the distribution, i.e., the value that separates the top 50% from the bottom 50% of observations. This is useful in understanding the typical or average length of stay, without being overly influenced by unusually long or short stays that may be present in the data.

Charge: The most appropriate statistic to use to describe charges would be the mean, as it is a measure of central tendency that reflects the total amount charged divided by the total number of cases. The mean is sensitive to outliers and extreme values, so if the distribution is heavily skewed or contains extreme values, the median may be a more appropriate measure.

Admission source: The most appropriate statistic to use to describe admission source would be the mode, as it is a categorical variable that represents the most common source of admission. The mode provides insight into the most frequent route of admission for patients, which can be useful in identifying patterns and trends in patient flow.

Gender: The most appropriate statistic to use to describe gender would be the frequency or count of males and females in the dataset, as it is a binary categorical variable. The frequency provides insight into the distribution of males and females in the sample, which can be useful in identifying gender-related disparities or trends in healthcare utilization.

Discharge status: The most appropriate statistic to use to describe discharge status would be the frequency or count of each category of discharge status, such as home, skilled nursing facility, hospice, etc. This provides insight into the distribution of patients' discharge destinations, which can be useful in understanding the healthcare needs and outcomes of different patient populations.

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Answer:

Step-by-step explanation:

x = 4 or x = -2

Answer:

49 / 9π + 16

Step-by-step explanation:

So 110 / 360 = 11 / 36

The circumference of the circle is 16π

11 / 36 * 16 = 44 / 9π

44 / 9π + 8 + 8 is the answer since you gotta add the sides.

This might be wrong so check my steps.

Answer:

The answer is B) y = 5x + 11

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.

Answer:

The possibility of not drawing a black marble= 4/5

The probability of drawing a red marble = 3/10

Step-by-step explanation:

Blue marbles = 5

Black marbles = 2

Red marbles = 3

Total marbles = 5 + 2 + 3 = 10

The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5

The probability of drawing a red marble = No of red marbles/Total marbles =3/10

Explanation

In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.

We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;

Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;

We will then solve the above equation simultaneously.

Insert equation 3 in equation 2

Since the weight of the sunflower seed is represented by y, therefore the answer is;

Answer: 1.2 pounds

Answer:

Both 1 and 2!

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

(0, 4 ) and ( \(\frac{1}{2}\), \(\frac{13}{2}\) )

Step-by-step explanation:

Given the2 equations

y = 4x² + 3x + 4 → (1)

y = 5x + 4 → (2)

Substitute y = 4x² + 3x + 4 into (2)

4x² + 3x + 4 = 5x + 4 ( subtract 5x + 4 from both sides )

4x² - 2x = 0 ← factor out 2x from each term

2x(2x - 1) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \(\frac{1}{2}\)

Substitute these values into (2) for corresponding values of y

x = 0 : y = 5(0) + 4 = 0 + 4 = 4 ⇒ (0, 4 )

x = \(\frac{1}{2}\) : y = \(\frac{5}{2}\) + 4 = \(\frac{13}{2}\) ⇒ (\(\frac{1}{2}\), \(\frac{13}{2}\) )