One angle measures 27°, and another angle measures (8d − 9)°. If the angles are complementary, what is the value of d?

d = 72
d = 21
d = 3
d = 9

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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Answer:

y=-4x+33

Step-by-step explanation:

(Check equation using calculator)

One-sided hypothesis test: Incoming students' grades based on the online program.

Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.

We have,

Classifying the scenarios as one-sided or two-sided tests:

One-sided hypothesis test:

Test whether incoming students at a business school receive better grades in their classes if they've taken an online program covering basic material.

Two-sided hypothesis test:

Test whether there is a difference between men's and women's usage of a mobile fitness app.

Two-sided hypothesis test:

Test whether the number of listeners of a streaming music service has changed after they changed the user interface.

One-sided hypothesis test:

Test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site.

Thus,

One-sided hypothesis test: Incoming students' grades based on the online program.

Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.

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The estimated probability of an amateur golfer hitting at least 6 times in his next 10 attempts is 20%. The Option A.

To simulate the situation, we can use the table of random numbers by selecting the first two digits of each number as a random sample. Let's consider hitting the ball as a success, and missing it as a failure.

So, the amateur golfer has a probability of success of 0.48 and a probability of failure of 0.52. We want to calculate the probability of having at least 6 successes in 10 attempts, which means we need to add up the probabilities of having 6, 7, 8, 9, or 10 successes.

Using binomial probabilities, we can calculate these probabilities as follows:

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10); X is the number of successes in 10 attempts.

Using the binomial formula, we can calculate each probability as:

P(X = k) = (10 choose k) * (0.48)^k * (0.52)^(10-k). By adding up these probabilities, we get P(X ≥ 6) = 0.196 or approximately 20%.

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Given equation is: y² - x⁵ = -7Firstly, differentiate with respect to x using implicit differentiation: 2y * dy/dx - 5x⁴ = 0(dy/dx) = (5x⁴)/(2y)At x = 2, y = 5,

Therefore, we need to evaluate (dy/dx) at x = 2 and y = 5Now, putting x = 2 and y = 5 in the main answer above: (dy/dx) = (5 * 2⁴)/(2 * 5) = 16Explanation:Given equation is y² - x⁵ = -7

Firstly, differentiate with respect to x using implicit differentiation. Then, substitute the given values of x and y in the main answer above to get the final answer.

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Answer:

Oscar 3/4

Step-by-step explanation:

Oscar 3/4

Step-by-step explanation:

the order from highest to lowest:

Oscar  3/4

Lolita  3/5

Paco  4/7

María 1/2

I hope this help you

the value of the given infinite series is -ln(2) + ∑(n=3 to ∞) 2/n.

What is value?

In mathematics, a value refers to a numerical quantity that represents a specific quantity or measurement.

To evaluate the infinite series ∑(n=1 to ∞) 1/n(n+1)(n+2), we can use the partial fraction decomposition method. As the hint suggests, we want to find constants a, b, and c such that:

1/n(n+1)(n+2) = a/n + b/(n+1) + c/(n+2)

To determine the values of a, b, and c, we can multiply both sides of the equation by n(n+1)(n+2) and simplify the resulting expression:

1 = a(n+1)(n+2) + b(n)(n+2) + c(n)(n+1)

Expanding the right side and collecting like terms:

1 = (a + b + c)\(n^2\) + (3a + 2b + c)n + 2a

Now, we can compare the coefficients of the corresponding powers of n on both sides of the equation:

Coefficients of \(n^2\): 1 = a + b + c

Coefficients of n: 0 = 3a + 2b + c

Coefficients of the constant term: 0 = 2a

From the last equation, we find that a = 0.

Substituting a = 0 into the first two equations, we have:

1 = b + c

0 = 2b + c

From the second equation, we find that c = -2b.

Substituting c = -2b into the first equation, we have:

1 = b - 2b

1 = -b

b = -1

Therefore, b = -1 and c = 2.

Now, we have the decomposition:

1/n(n+1)(n+2) = 0/n - 1/(n+1) + 2/(n+2)

Now we can rewrite the series using the decomposition:

∑(n=1 to ∞) 1/n(n+1)(n+2) = ∑(n=1 to ∞) (0/n - 1/(n+1) + 2/(n+2))

The series can be split into three separate series:

= ∑(n=1 to ∞) 0/n - ∑(n=1 to ∞) 1/(n+1) + ∑(n=1 to ∞) 2/(n+2)

The first series ∑(n=1 to ∞) 0/n is 0 because each term is 0.

The second series ∑(n=1 to ∞) 1/(n+1) is a well-known series called the harmonic series and it converges to ln(2).

The third series ∑(n=1 to ∞) 2/(n+2) can be simplified by shifting the index:

= ∑(n=3 to ∞) 2/n

Now, we have:

∑(n=1 to ∞) 1/n(n+1)(n+2) = 0 - ln(2) + ∑(n=3 to ∞) 2/n

Therefore, the value of the given infinite series is -ln(2) + ∑(n=3 to ∞) 2/n.

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Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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The maximizing value of x is approximately 2.

What is the maximum value of x that maximizes the utility function \(U(x, y) = \sqrt{x} y,\) given the budget constraint 10x + 9y ≤ 35?

The maximum value of x, rounded to one decimal place, that maximizes the utility function is approximately 2.0. This value is obtained by solving the optimization problem using Lagrange multipliers and considering the budget constraint.

To maximize the utility function subject to the budget constraint 10x + 9y ≤ 35, we can use the method of Lagrange multipliers. We want to maximize the function U(x, y) subject to the constraint 10x + 9y ≤ 35.

The Lagrange function is defined as \(U(x, y,\lambda) = \sqrt{x} y+\lambda(35-10x-9y),\), where λ is the Lagrange multiplier.

To find the maximum, we need to find the values of x, y, and λ that satisfy the following equations:

\(1.\frac{\delta L}{\delta x }= 0\\\\2.\frac{\delta L}{\delta y}= 0\\\)

3.Constraint equation: 10x + 9y = 35

Taking partial derivatives and setting them equal to zero:

\(1.\frac{\delta L}{\delta x }= \frac{1}{2}\sqrt{y}+ \lambda(-10) = 0\\\\2.\frac{\delta L}{\delta y }= \frac{1}{2}\sqrt{x} +\lambda(-9) = 0\)

Solving these equations, we get:

\(\sqrt{y }= 5\lambda\\\\\sqrt{x} = 4.5\lambda\)

Squaring both equations:

\(y = 25\lambda^2\\\\x = 20.25\lambda^2\)

Substituting these values into the constraint equation:

\(10x + 9y = 10(20.25\lambda^2) + 9(25\lambda^2)\\ = 350\lambda^2\)

Setting this equal to 35:

\(350\lambda^2 = 35\)

Simplifying, we find:

\(\lambda^2 = 0.1\)

Taking the square root of both sides:

\(\lambda = \pm\sqrt{0.1}\)

Since λ must be positive, we take \(\lambda= \sqrt{0.1 }= 0.3162.\)

Substituting this value into\(x = 20.25{\lambda}^2\), we get:

\(x = 20.25(0.3162)^2= 2.03\)

Therefore, rounding to one decimal place, the maximizing value of x is approximately 2.

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For the given linear equation E = 6.00*h - 75

We will have:

a) The equation represents the earnings (E) as a function of the number of hours worked (h).

b) After 12.5 hours of work.

c) after 29.17 hours of work.

d) The graph can be seen in the image below.

a) The linear equation here is:

E = 6.00*h - 75

This equation shows the earnings (E, in dollars) as a function of the number of hours worked (h). This is because we know that the assistants win $6 per hour, and they must pay $75 for their uniforms.

b) To have a positive amount, we need to solve:

0 = 6.00*h - 75

75 = 6.00*h

75/6 = h = 12.5

This means that the employees will have a positive paycheck after 12.5 hours of work.

c) Now we need to solve:

100 = 6*h - 75

100 + 75 = 6*h

175 = 6*h

175/6 = h = 29.17

They need to work 29.17 hours.

d) The graph of the linear relation can be seen in the image below:

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Step-by-step explanation:

3*85 <= 83+91+x <= 3*90  

255 <= 174+x <= 270  

81 <= x <= 96

Answer:

81 ≤ x ≤ 96

Step-by-step explanation:

85 ≤ (x + 83 + 91)/3 ≤ 90

85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90

81 ≤ x ≤ 96

The required if we have 7 liters of gas, we could fill 0.7 cans, which includes a fraction of a can.

A fraction is a mathematical vision that can be used to describe a portion of a whole or a numeral that can be written as the ratio of two integers. In a fraction, the top number is guided to as the numerator, while the bottom number is referred to as the denominator.

If each gas can holds 10 liters of gas, then 7 liters of gas can fill 7 / 10 = 0.7 cans.

So, if we have 7 liters of gas, we could fill 0.7 cans, which includes a fraction of a can. Note that in practice, we cannot fill a fraction of a can, so we would round down to the nearest whole number, which would be 0 cans filled.

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the high-temperature range which is most likely represented by the shaded area labeled 1 is 90°F to 99°F.\

Temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).

In Science, the temperature is measured by using a thermometer and its units include the following:

Celsius (°C)

Kelvin (K)

Fahrenheit (°F)

Based on the weather map shown in the image attached below, we can deduce that the high-temperature range which is most likely represented by the shaded area labeled 1 is 90°F to 99°F.

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Answer:

good to know:)

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

67 bcz

Answer:

67

Step-by-step explanation:

A rotation is a circular movement of an object around a center of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes. If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin.

so for what type of girl did you give brainlist

Answer:

6>18.12>24

Since the inequality can never be true, there is no solution.

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

The equipment acquired at the beginning of the year had a value of $7,620.

⇒ Debit: Cash/Bank Account = $59,200

   Debit: Accumulated Depreciation = $26,140

   Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or        ($6,920) (if loss)

   Credit: Equipment = $78,420

At the beginning of the year, equipment with a value of $7,620 was acquired. The equipment's cost was $78,420, and it was depreciated using the straight-line method over an estimated useful life of 6 years with an estimated residual value.

a. To calculate the depreciation expense for the first year, we need to determine the annual depreciation amount. The formula for straight-line depreciation is:

Annual Depreciation Expense = (Cost - Residual Value) / Useful Life

Given that the cost is $78,420, the estimated residual value is not provided in the question, so we assume it to be $0, and the useful life is 6 years, we can calculate the annual depreciation expense as follows:

Annual Depreciation Expense = ($78,420 - $0) / 6 = $13,070

Therefore, the depreciation expense for the first year is $13,070.

b. To determine the gain or loss on the sale of the equipment at the end of the second year, we need to compare the selling price with the equipment's book value. The book value can be calculated as follows:

Book Value = Cost - Accumulated Depreciation

Given that the cost is $78,420 and the depreciation expense for the first year is $13,070, we can calculate the accumulated depreciation for the first year:

Accumulated Depreciation (Year 1) = Depreciation Expense (Year 1) = $13,070

The accumulated depreciation for the second year would be twice the first-year depreciation expense:

Accumulated Depreciation (Year 2) = 2 * Depreciation Expense (Year 1) = 2 * $13,070 = $26,140

Now we can calculate the book value at the end of the second year:

Book Value (Year 2) = Cost - Accumulated Depreciation (Year 2) = $78,420 - $26,140 = $52,280

Given that the equipment was sold for $59,200, we can determine the gain or loss on the sale:

Gain or Loss = Selling Price - Book Value = $59,200 - $52,280 = $6,920

Therefore, there is a gain of $6,920 on the sale of the equipment.

c. Journal entry to record the sale:

Debit: Cash/Bank Account = $59,200

Debit: Accumulated Depreciation = $26,140

Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or ($6,920) (if loss)

Credit: Equipment = $78,420

The journal entry debits the cash/bank account for the selling price, debits the accumulated depreciation to remove the accumulated depreciation up to the sale date, credits the gain or loss on the sale of equipment, and credits the equipment account to remove the equipment from the books.

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Answer:

Step-by-step explanation:

-1

The matrix {bᵃ ⁻ᵇₐ} is option C. dilation and rotation.

The matrix {bᵃ ⁻ᵇₐ} can be written as:

{bᵃ -bₐ/bᵃ}

{ 0 1/bᵃ }

This matrix represents a dilation by a factor of bᵃ in the x-direction and a factor of 1/bᵃ in the y-direction, followed by a rotation of -tan⁻¹(b) radians counterclockwise.

Therefore, the correct answer is C. dilation and rotation.

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we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Answer: \((\frac{\sqrt{3} }{2} ,\frac{1}{2} )\)

Step-by-step explanation:

On a unit circle, the sine value is the y-coordinate and the cosine value is the x-coordinate.

Therefore, the coordinates for 30° on a unit circle would be:

(cos 30°, sin 30°)

= \((\frac{\sqrt{3} }{2} ,\frac{1}{2} )\)

Answer: it’s speed of light

Answer:

k.

Step-by-step explanation:

Answer:

2147483648

Step-by-step explanation:

The pattern being used is x4.

8 x 4 = 32

32 x 4 = 128

128 x 4 = 512

512 x 4 = 2048

2048 x 4 = 8192

8192 x 4 = 32768

32768 x 4 = 131072

131072 x 4 = 524288

524288 x 4 = 2097152

2097152 x 4 = 8388608

8388608 x 4 = 33554432

33554432 x 4 = 134217728

134217728 x 4 = 536870912

536870912 x 4 = 2147483648