→
Enter a formula using k to connect the two
variables.
y is proportional to x³

Answer: n = (1 - d) / 3

Step-by-step explanation: We are given with the equation d + 3n = 1  and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3.

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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20x would be ur answer.

Answer:

20*5x

Step-by-step explanation:

multiply outer number by each item in the parenthesis

so 5*4=20 and

5*x=5X

The simplified expression without absolute value signs is x - 2.

To simplify the expression |x - 2| when x > 2, we can use the fact that if x is greater than 2, then x - 2 will be positive. In this case, |x - 2| simplifies to just x - 2.

This simplification is based on the understanding that the absolute value function, denoted by | |, returns the positive value of a number. When x > 2, x - 2 will be positive, and the absolute value function is not needed to determine its value. In this case, the expression simplifies to x - 2.

However, it's important to note that when x ≤ 2, the expression |x - 2| would simplify differently. When x is less than or equal to 2, x - 2 would be negative or zero, and |x - 2| would simplify to -(x - 2) or 2 - x, respectively.

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Step-by-step explanation:

b 8 is the answer

simplify to2^4^(3/4) then 2^3 then that simplies to 8

The check for independence in a one- sample is

The population size is further than 10 times the sample size.

The Correct option is D.

What is Z- test?

A Z- test is a statistical thesis test used to determine whether a sample mean significantly differs from a given population mean when the population standard divagation is known.

For a one- sample z- test for a population proportion, the sample is named without relief from a finite population.

In order for the test to be valid, it's necessary to insure that the sample is small relative to the population size.

still, it can be considered large enough to satisfy the independence supposition, If the population size is further than 10 times the sample size. This supposition is necessary for the validity of statistical conclusion in this environment.

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Answer:

4

Step-by-step explanation:

9x= 4x+20

5x=20

x=4

Answer:1/4,1,8

Step-by-step explanation:anything with one on top

The company cannot build  10 child bikes and 12 adult bikes No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 , Option A is the correct answer.

System of inequality represent system of inequalities that satisfies common condition.

It is given that

Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test.

Total building hours = 120

Total testing hours = 100

If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.

6a + 4c ≤ 120

4a +4c ≤100

On solving this system of Inequality

a ≤ 10

which is less than required , and so

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Therefore Option A is the correct answer.

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Answer:

SHOULD be 140.

Step-by-step explanation:

Answer:

he has to pay 4980$ in tax So its C) 4,980

The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

An electrician has an income of $41,500.

The income tax the electrician has to pay is 12%.

Then the amount of income tax that the electrician has to pay will be

Amount of income tax = 0.12 × $41500

Amount of income tax = $ 4980

Thus, the amount of income tax that the electrician has to pay is $4980.

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The given series, cos(na) 7/8ⁿ  n = 1 n a., diverges.

The given series is Σ(cos(na) × 7/8ⁿ) with n = 1 to infinity. To test for convergence or divergence, we can use the Ratio Test.

Let's examine the limit as n approaches infinity of the absolute value of the ratio between consecutive terms:

L = lim (n→∞) |((cos((n+1)a) × 7/8⁽ⁿ⁺¹⁾) / (cos(na) × 7/8ⁿ))|

This simplifies to:

L = lim (n→∞) (|cos(na) × 7/8ⁿ| / |cos((n+1)a) × 7/8⁽ⁿ⁺¹⁾|)

The 7/8 terms will cancel out:

L = lim (n→∞) (|cos(na)| / |cos((n+1)a)|) × (8/7)

Since the cosine function oscillates between -1 and 1, the limit does not exist, and we can't draw any conclusion about convergence or divergence using the Ratio Test.

However, note that the series is the product of the sequence cos(na) and the geometric sequence 7/8ⁿ. The geometric sequence converges (because its common ratio 7/8 is between -1 and 1), but cos(na) oscillates between -1 and 1. The product of these sequences does not converge to a single value, so the series diverges.

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the only possible resulting function after dilation is y = 5x. Option D is correct

Given a coordinate point (x, y), if the coordinate is dilated by a factor of "k", the resulting coordinate point will be at (kx, ky).

Note that both coordinates were multiplied by the factor "k"

Given the expression y = x, for this expression to show a dilation, we can multiply the input variable by an integer.

From the given option, we can see that the only possible resulting function after dilation is y = 5x

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The probability of winning being consistently 10 percent less than expected indicates an unfair game or a biased system.

In a fair game or system, the probability of winning should be represented by the ratio of favorable outcomes to total outcomes. This is commonly expressed as a fraction a/b, where a represents the number of favorable outcomes and b represents the total number of possible outcomes.

However, if the probability of winning is always 10 percent less than expected, it suggests that there is a systematic bias or manipulation in the game or system. This bias could be intentional, designed to favor certain individuals or entities, or it could be due to some inherent flaw or error in the system.

The consistent 10 percent reduction in the probability of winning indicates that the game or system is not operating in a fair and unbiased manner. It raises concerns about fairness, integrity, and potentially unethical practices.

In summary, when the probability of winning is consistently 10 percent less than expected, it suggests the presence of an unfair game or biased system, where the outcomes are intentionally manipulated or influenced to give an advantage to certain parties.

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Answer:

Most students preferred hip Hop in 2013 and in 2012 the most popular type of music surveyed was Pop. Hip Hop and Pop were two of he most popular types of music in 2012 and 2013. In 2013, no students selected Jazz and in 2012 less than 10% selected Jazz.  

Step-by-step explanation:

Answer:

Only in 2012 did anyone like Jazz music and in 2013 there was a spike in the preferences of Hip Hop. With Other the music preferences were pretty similar in both years. With Pop and Rock music there were more people that liked those in 2012 and with Alternative in 2013 it was more popular.

Translating the triangle DEF involves moving the triangle along the coordinate plane

The y-coordinate of point D after the translation (x, y) → (x + 6, y – 4) is 1

From the figure the coordinate of D is:

D = (-2.5,5)

The rule of translation is given as:

(x, y) → (x + 6, y – 4)

So, we have:

(x, y) → (-2.5 + 6, 5 – 4)

Evaluate the sum and the difference

(x, y) → (3.5, 1)

Remove the x-coordinate

y → 1

Hence, the y-coordinate of point D after the translation is 1

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Step-by-step explanation:

Slope of the line: 6/5.

Answer:

for the first six members in the series of alkenes plot the number of hydrogen atoms on they exist in use this number the graph to drive the formula of alkane that has 10 carbon atoms. i will give brain list

Answer:

37

Step-by-step explanation:

It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal​ value is $10

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let x represent the number of​ 30-day periods until the value of the gift cards will be equal.

Tavon has a gift card for $90 that loses $4 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

90 - 4x

He has another gift card for $ 80 that loses $3.50 for each​ 30-day period it is not used. This means that x 30-day periods, the amount left would be

80 - 3.5x

For the amounts left on each card to be the same, the number of periods would be

90 - 4x = 80 - 3.5x

90 - 80 = - 3.5x + 4x

10 = 0.5x

x = 10/0.5

x = 20

The value of each card when they have equal​ value is

90 - 4 × 20 = 90 - 80

= $10

Therefore, It will take twenty 30-day periods until the value of the gift cards will be equal. The value of each card when they have equal​ value is $10

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The formula for calculating the arithmetic mean of a population is:Arithmetic mean (X¯) = (∑X) / NwhereX¯ = the arithmetic mean of the population,∑X = the sum of all the values in the population, andN = the number of values in the population.

So, if the population is 8, 3, 6, 3, and 6, we can calculate the mean by first finding the sum of all the values in the population.

∑X = 8 + 3 + 6 + 3 + 6 = 26

Now that we know the sum, we can use the formula to calculate the arithmetic mean.

X¯ = (∑X) / N= 26 / 5= 5.2

Therefore, the mean of the population is 5.2.To calculate the variance of a population, we use the formula:Variance (σ²) = (∑(X - X¯)²) / Nwhereσ² = the variance of the population,X = each individual value in the population,X¯ = the arithmetic mean of the population,N = the number of values in the population.Using the values in the population of 8, 3, 6, 3, and 6, we first calculate the mean, which we know is 5.2.Now we can calculate the variance.σ² =

(∑(X - X¯)²) / N= [(8 - 5.2)² + (3 - 5.2)² + (6 - 5.2)² + (3 - 5.2)² + (6 - 5.2)²] / 5= [7.84 + 5.76 + 0.04 + 5.76 + 0.04] / 5= 19.44 / 5= 3.888

So, the variance of the population is 3.888, rounded to two decimal places. Arithmetic mean is the sum of a group of numbers divided by the total number of elements in the set. If a population has five values such as 8, 3, 6, 3, and 6, the mean of the population can be calculated by finding the sum of the numbers and then dividing by the total number of values in the population. So, the mean of the population is equal to the sum of the values in the population divided by the number of values in the population.The variance of a population is a statistical measure that describes how much the values in a population deviate from the mean of the population. It is calculated by finding the sum of the squares of the deviations of each value in the population from the mean of the population and then dividing by the total number of values in the population. Therefore, the variance measures how spread out or clustered the values in the population are around the mean of the population.The formula for calculating the variance of a population is σ² = (∑(X - X¯)²) / N where σ² represents the variance of the population, X represents the individual values in the population, X¯ represents the mean of the population, and N represents the total number of values in the population. In the case of the population with values of 8, 3, 6, 3, and 6, the variance of the population is equal to 3.888. This value indicates that the values in the population are spread out from the mean of the population.

The mean of the population with values 8, 3, 6, 3, and 6 is 5.2, and the variance of the population is 3.888.

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Answer:

B. Different of Squares

Step-by-step explanation:

Answer:

627

Step-by-step explanation:

\(5 {}^{4} + 2 = 627\)

The orthocenter can be located on the exterior of the triangle, but this is not always the case is sometimes. D.

The orthocenter of a triangle is the point of intersection of the three altitudes of the triangle.

An altitude is a line segment drawn from a vertex of the triangle perpendicular to the opposite side or its extension.

The orthocenter can lie on the exterior of the triangle.

This occurs when the triangle is obtuse or when the altitude from one vertex of the triangle intersects the extension of the opposite side.

In such situations, the orthocenter will be located outside the triangle itself.

It is important to note that in other cases, such as with acute or right triangles, the orthocenter will lie within the interior of the triangle and not on the exterior.

The intersection of the triangle's three elevations is known as the orthocenter. A line segment known as an altitude is drawn from the triangle's vertex perpendicular to the other side or its extension.

It is possible for the orthocenter to be outside the triangle.

This happens if the triangle is acute or if the height from one of the triangle's vertices touches the extension of the other side.

The orthocenter will be outside of the triangle in such circumstances.

It's vital to keep in mind that the orthocenter will often reside inside the triangle and not on the outside in other scenarios, such as with acute or right triangles.

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The absolute error in the approximation is approximately 0.000067.

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

To approximate the given quantity using a Taylor polynomial with n = 3, we need to find the Taylor polynomial centered at the point where we want to approximate the function.

In this case, the function is cos(x), and we want to approximate it at x = 0.14.

a. Approximation using a Taylor polynomial with n = 3:

The Taylor polynomial for cos(x) centered at x = 0 can be expressed as:

P₃(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³

First, let's find the derivatives of cos(x):

f(x) = cos(x)

f'(x) = -sin(x)

f''(x) = -cos(x)

f'''(x) = sin(x)

Evaluating the derivatives at x = 0:

f(0) = cos(0) = 1

f'(0) = -sin(0) = 0

f''(0) = -cos(0) = -1

f'''(0) = sin(0) = 0

Substituting these values into the Taylor polynomial:

P₃(x) = 1 + 0x + (-1/2!)x² + (0/3!)x³

= 1 - (1/2)x²

Now, let's approximate the value of cos(0.14) using the Taylor polynomial:

cos(0.14) ≈ P₃(0.14)

= 1 - (1/2)(0.14)²

= 1 - 0.0098

≈ 0.9902

Therefore, using a Taylor polynomial with n = 3, the approximation for cos(0.14) is approximately 0.9902.

b. Computing the absolute error in the approximation assuming the exact value is given by a calculator:

To compute the absolute error, we need the exact value of cos(0.14) from a calculator:

cos(0.14) ≈ 0.990267

The absolute error is given by the absolute difference between the approximation and the exact value:

Absolute error = |Approximation - Exact value|

= |0.9902 - 0.990267|

= |0.000067|

≈ 0.000067

Therefore, the absolute error in the approximation is approximately 0.000067.

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Answer:80mi/hr * 3.5hrs

Answer:

The slope is -1.333.

Step-by-step explanation:

Answer:

5.28 kg

Step-by-step explanation:

A farmer sells 8.8 kilograms of pears and apples at the farmer's market and 2/5 of this weight is pears.

Since a fraction is a part of a whole, 1, then, the fraction repressing the weight of the apples is:

1 - 2/5 = 3/5

Therefore, the weight of apples is/

3 / 5 * 8.8 = 5.28 kg

She sold 5.28kg of apples at the farmer's market.

Answer: y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4

The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.

The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:

1. Visibility: The minimum visibility required is 3 statute miles.

2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.

According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.

This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.

Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.

Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.

These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.

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