Help please will give Brainliest if possible

Answer:

d

Step-by-step explanation:

in c greatest common factor is 8

But in D

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 20 = 1, 2, 4, 5, 10, 20

Look only 4 is GCF

That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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The supplied differential equation by variable separation is y(x) = sin(x²/2+c), as stated in the statement.

Any equation containing one or more terms and first or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f (x) In this case, the variables "x" and "y" are isolated and dependent, respectively. For illustration, dy/dx = 5x. Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

With respect to that differential equation \(\frac{d y}{d x}=x \sqrt{1-y^2}\)

\(\frac{d y}{\sqrt{1-y^2}}=x d x\)

By implementing integration across both sides,

\(\begin{aligned}& \int \frac{d y}{\sqrt{1-y^2}}=\int x d x \\& \sin ^{-1}(y)=\frac{x^2}{2}+c \quad\left[\int \frac{d y}{\sqrt{a^2-y^2}}=\sin ^{-1}\left(\frac{y}{a}\right)\right]\end{aligned}\)

\(y(x)=\sin \left[\frac{x^2}{2}+c\right]\)

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Answer:

a square has 4 sides therefore the formula for perimeter of a square would be 4a where a is the number of sides. in this case, we want to know the length of each side so we divide total length (28) by number of sides which is 4 and we get 7m

Answer:

the side lengths of a square are equal. Second, know that the sum of all 4 side lengths gives us the perimeter.

Answer:

2/5

Step-by-step explanation:

Answer:

\( 4 \times \frac{4 - 3y}{4} = 4 \times (- 17)\)

4-3y=-68

-3y=-72

-3y/(-3)=-72/(-3)

y=24

Answer:

\(4 - 3y = 4 \times - 17 \\ \\ 4 - 3y = - 68 \\ 3y = 68 + 4 \\ y = \frac{72}{3} \\ y = 24\)

The required value of the upper limit for both the integral are,
4. a = -1 or a = 1/2
5. b = 1

The limit of a sum can be used to express the definite integral of any function, or if the interval [a, b] has an antiderivative F, the definite integral of the function is the difference of the values at points a and b.

Here,

4.
Given expression,
\(= \int _{-2}^{a}x^2dx = 7/3\\= [x^3]_{-2}^a = 7 / 3\\= a^3 + 8 / 3 = 7/3\\a=-1,\:a=\frac{1}{2}-\frac{\sqrt{3}}{2}i,\:a=\frac{1}{2}+\frac{\sqrt{3}}{2}i\)

Since as mentioned that a must be greater than -2 so the considered value of a is, a = -1 and a = 1/2, and a graph of the area of the expression is shown,

Similarly,
5.
b = 1
A graph of the area under the given integration has been shown.

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The probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds depends on the distribution of bag weights and their relationship to the maximum weight limit.

To estimate the probability, we can assume a normal distribution for bag weights, with a mean and standard deviation. Let's denote the mean as μ and the standard deviation as σ. If we assume that bag weights follow a normal distribution, we can calculate the z-score for the maximum allowable weight of 50 pounds using the formula: z = (x - μ) / σ, where x is the maximum weight.

Next, we can use the z-score to determine the probability using the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a certain value. In this case, we want to find the probability that the bag weight exceeds 50 pounds, which is equivalent to finding the probability that the random variable is greater than 50 pounds.

Since the CDF provides the probability of being less than or equal to a given value, we can subtract the result from 1 to obtain the probability of being greater than 50 pounds. This probability represents the likelihood of a bag exceeding the maximum allowable weight. However, keep in mind that these calculations are based on the assumption of a normal distribution, and the actual probability will vary depending on the specific characteristics of the bag weights distribution.

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Given statement solution is :- The correct inequality that matches the given graph is:

D) 3x − 2y < 7 , because if we plug in the point (1, -2), we get: 3(1) − 2(-2) < 7, which simplifies to 3 + 4 < 7, which is not true.

To determine which inequality matches the given graph, we can analyze the slope and the points that the line passes through.

The given line has a positive slope and passes through the points (-3, -8) and (1, -2) on the negative side of the graph, and (9, 10) and (10, 10) on the positive side of the graph.

Let's check each answer choice:

A) −2x + 3y > 7:

If we plug in the point (-3, -8) into this inequality, we get: −2(-3) + 3(-8) > 7, which simplifies to 6 - 24 > 7, which is false. So, this inequality does not match the graph.

B) 2x + 3y < 7:

If we plug in the point (-3, -8) into this inequality, we get: 2(-3) + 3(-8) < 7, which simplifies to -6 - 24 < 7, which is true. Additionally, if we plug in the point (1, -2), we get: 2(1) + 3(-2) < 7, which simplifies to 2 - 6 < 7, which is also true. Therefore, this inequality matches the graph.

C) −3x + 2y > 7:

If we plug in the point (-3, -8) into this inequality, we get: −3(-3) + 2(-8) > 7, which simplifies to 9 - 16 > 7, which is false. So, this inequality does not match the graph.

D) 3x − 2y < 7:

If we plug in the point (-3, -8) into this inequality, we get: 3(-3) − 2(-8) < 7, which simplifies to -9 + 16 < 7, which is true. Additionally, if we plug in the point (1, -2), we get: 3(1) − 2(-2) < 7, which simplifies to 3 + 4 < 7, which is also true. Therefore, this inequality matches the graph.

After analyzing all the answer choices, we can conclude that the correct inequality that matches the given graph is:

D) 3x − 2y < 7.

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Answer:

x( x-8)(x+8)

Step-by-step explanation:

x^3 - 64x

Factor out an x

x( x^2 -64)

This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)

x( x-8)(x+8)

Answer:

\(x(x - 8)(x + 8)\)

Step-by-step explanation:

\( {x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)\)

hope this helps

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An uncertain future event affecting the consequence associated with a decision is known as a chance event.

In decision analysis and decision theory, a chance event refers to an event or outcome that is uncertain and beyond the control of the decision-maker. It is a source of uncertainty that can influence the outcome or consequence associated with a decision. Chance events are often represented by probabilities, indicating the likelihood of different outcomes occurring.

When making decisions, it is important to consider the potential impact of chance events on the outcomes and consequences of different decision alternatives. By analyzing the probabilities and potential outcomes associated with chance events, decision-makers can make more informed choices and evaluate the risks and rewards of different decision options.

Chance events are an integral part of decision-making under uncertainty, and understanding their potential effects is crucial for making sound decisions in various fields such as finance, business, project management, and game theory.

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Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

We would need to know the distribution of the revenues, such as whether it follows a normal distribution or some other distribution. Additionally, we would need the specific values of the mean, standard deviation, UCL, and LCL.

To calculate the probability that the true average revenues per hour will be either greater than the Upper Control Limit (UCL) or lower than the Lower Control Limit (LCL), we need more information about the data distribution and the control limits themselves.

Control limits are typically used in statistical process control (SPC) to determine whether a process is stable and within the acceptable range of variation. They are derived from the process data and define the boundaries within which the process is expected to perform.

If we have a normal distribution assumption for the data and know the mean (μ) and standard deviation (σ), we can calculate the probability using the z-score and the standard normal distribution.

Let's assume we have the following information:

- Mean (μ) of the data.

- Standard deviation (σ) of the data.

- UCL and LCL values.

To calculate the probability of the true average revenues per hour being outside the control limits, we can use the z-score formula:

z = (x - μ) / (σ / sqrt(n))

Where:

- x is the value we are interested in (UCL or LCL).

- μ is the mean of the data.

- σ is the standard deviation of the data.

- n is the sample size.

Once we have the z-score, we can consult a standard normal distribution table or use statistical software to find the corresponding probability.

Please provide the necessary information (mean, standard deviation, UCL, LCL, and sample size) so that I can help you calculate the probability.

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Step-by-step explanation:

sin0° = cos90°

sin30° = cos60°

sin45° = cos45°

sin60° = cos30°

sin90° = cos0°

In an instruction like "z = x y," the symbols x, y, and z are examples of variables.

Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.

In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.

In the given instruction "z = x y," the symbols x, y, and z are variables.

In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.

Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.

By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.

Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.

By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.

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Answer:

59 ps

Step-by-step explanation:

Answer: 59 feet per second

Step-by-step explanation:

I'm assuming you made a typo and meant to type 'how many feet per second'

The speed of the Jackrabbits is 40 miles per hour.

We know that

1 mile = 5280 feet

1 hour = 3600 seconds

40 miles = (40 × 5280) feet = 211200 feet

211200/3600 = 58.67 feet per second

The speed of the Jackrabbits to the nearest whole number is 59 feet/second.

Answer:

3 * (½*2*5) = x

Step-by-step explanation:

Cost of carpeting = $3 per square foot

We have a triangular section to cover having the following dimensions:

base = 2 yd

height = 5 yd

First, let's find the area of the section = area of triangle

Area of triangle = ½*base*height

Area of the triangular section of the floor = ½*2*5

If $3 will cover 1 ft², therefore,

x will cover ½*2*5

Thus:

3 * (½*2*5) = x

The magnitude of the upward force on the table due to the leg at (lx, 0) is Fx=W.

To find the upward force (Fx) on the table due to the leg at position (Lx, 0), you will need to consider the forces acting on the table. In this scenario, the force Fx is the force exerted by the leg to support the weight of the table and maintain equilibrium.  

To calculate Fx, you'll need to take into account the weight of the table (W) and any additional forces acting on it, such as objects placed on the table. Since the table is in equilibrium, the sum of all forces in the vertical direction should be equal to zero.

Using the principle of equilibrium:

ΣFy = 0

Where ΣFy represents the sum of all vertical forces acting on the table.

In this case, the upward force exerted by the leg (Fx) should be equal to the total downward force acting on the table:

Fx = W

Once you have determined the weight of the table and any additional forces, you can calculate the magnitude of the upward force Fx exerted by the leg at position (Lx, 0).

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Answer:

a + (b + c) = (a + b) + c

Step-by-step explanation:

a= (-12), b = 4, c = (-25)

\((12) + (4 + ( - 25)) = ( - 12 + 4) + ( - 25) \\ - 33 = - 33\)

Answer:

GIVEN :-

TO VERIFY :-

SOLUTION :-

Find the values of L.H.S. & R.H.S.

L.H.S. :-

Put all values in → \(\boxed{a+(b+c)}\)

⇒ -12 + [4 + (-25)]

⇒ -12 + (4 - 25)

⇒ -12 + (-21)

⇒ -12 - 21

⇒ -33

R.H.S. :-

Put all values in → \(\boxed{(a+b)+c}\)

⇒ (-12 + 4) + (-25)

⇒ -8 - 25

⇒ -33

CONCLUSION :-

L.H.S. = R.H.S.

⇒ a + (b + c) = (a + b) + c

The correct answer for the given question is B. Heat is written as a reactant in the equation.

An endothermic reaction is a reaction in which is reactants absorbs heat from the surrounding to give the product or heat supplied is the reactant.

Suppose if A and B are reactants that forms product C and D,

and H be the heat absorbed or supplies to the reactants.

Then for an endothermic reaction we can write-

A +  B + Heat ---> C + D

Since, Heat is absorbed at the reactant side then it is called as endothermic reaction.

Hence,the correct answer for the given question is B. Heat is written as a reactant in the equation.

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True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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Answer:

200π m²

Step-by-step explanation:

Lateral area of a cone = πrl

r = 8 m

l = 25 m

Plug in the values

Lateral area = π × 8 × 25

Lateral area = π × 200 = 200π m²

Answer:

200

Step-by-step explanation:

I did it in my acellus

Answer:

4.708 feet    

Step-by-step explanation:

Given that: The sector area A=28.25 ft2

The radius r = 12 feet

....attached work below

Now the length of steel (Arc length ) = 2πr/2π × θ

The length of steel (Arc length ) = r × θ

The length of steel (Arc length ) = 12 × 0.39236

The length of steel (Arc length ) = 4.708 feet    

The 99% confidence interval for the population proportion is approximately (0.439, 0.561).

To construct a 99% confidence interval for the population proportion, we will use the following formula:

CI = p-hat ± Z × √[(p-hat × (1 - p-hat)) / n]

where CI represents the confidence interval, p-hat is the sample proportion, Z is the critical value for the desired confidence level, and n is the sample size.

Given the information, x = 125 and n = 250.

1. Calculate p-hat (sample proportion):
p-hat = x / n = 125 / 250 = 0.5

2. Determine the Z-value for a 99% confidence interval (use a Z-table or calculator):
Z = 2.576

3. Plug the values into the formula and calculate the confidence interval:

CI = 0.5 ± 2.576 × √[(0.5 × (1 - 0.5)) / 250]
CI = 0.5 ± 2.576 × √(0.5 × 0.5 / 250)
CI = 0.5 ± 2.576 × √(0.001)

Now, calculate the lower and upper bounds:

Lower bound = 0.5 - 2.576 × √(0.001) ≈ 0.439
Upper bound = 0.5 + 2.576 × √(0.001) ≈ 0.561

Therefore, the 99% confidence interval for the population proportion is approximately (0.439, 0.561).

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John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.

John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.

Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.

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Answer: 0.5 hope this helps if not i'm sorry

Answer: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Yes, infrared spectroscopy would indeed be helpful in determining,

if the dehydration reaction of cyclohexanol to form cyclohexene was successful in an organic chemistry lab.

Infrared spectroscopy (IR spectroscopy) is a widely used analytical technique in organic chemistry,

That provides information about the functional groups present in a compound.

It measures the absorption of infrared radiation by the sample,

Which corresponds to the vibrations of different chemical bonds in the molecule.

In the case of cyclohexanol and cyclohexene, there is a significant difference in their functional groups.

Cyclohexanol contains an -OH group alcohol, whereas cyclohexene contains a carbon-carbon double bond alkene.

These functional groups have characteristic absorption bands in the IR spectrum.

By comparing the IR spectra of the starting material cyclohexanol and the desired product cyclohexene.

One can determine if the dehydration reaction was successful.

The presence or absence of characteristic absorption bands for the alcohol (-OH) and the alkene (C=C).

In the product spectrum can provide evidence of the reaction's success.

If the desired cyclohexene is formed, the absorption band corresponding to the -OH group should disappear,

Indicating the removal of the alcohol functionality.

Additionally, a new absorption band corresponding to the C=C bond should appear in the product spectrum.

Therefore, IR spectroscopy can be a valuable tool in confirming the success of the dehydration reaction and characterizing the functional groups present in the resulting product.

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