Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function. (Enter your answers as a comma-separated list.)
y=\frac{x}{sin x}

Answer:

True because it is true thank U

As per the unitary method, the annual cost of drying your clothes using the clothes dryer is approximately $64.78.

To calculate the annual cost of drying clothes, we need to consider the power consumption of the clothes dryer, the number of loads done per week, and the time it takes to dry each load. Here's how we can break down the calculation into manageable steps:

The clothes dryer consumes 4400 watts of power. To determine the energy consumption for each load, we need to convert watts to kilowatt-hours. Since there are 1000 watts in a kilowatt, we divide 4400 watts by 1000 to get 4.4 kilowatts (kW).

Since each load takes 45 minutes to dry, we need to convert this time to hours. There are 60 minutes in an hour, so we divide 45 minutes by 60 to get 0.75 hours.

To calculate the energy consumption per load in kilowatt-hours, we multiply the power consumption (4.4 kW) by the drying time (0.75 hours). This gives us 3.3 kilowatt-hours (kWh) per load.

You mentioned that you do six loads of laundry each week. To find the weekly energy consumption, we multiply the energy consumption per load (3.3 kWh) by the number of loads per week (6 loads). This results in a total of 19.8 kilowatt-hours per week.

To calculate the annual energy consumption, we need to multiply the weekly energy consumption (19.8 kWh) by the number of weeks in a year. Assuming there are 52 weeks in a year, the annual energy consumption is 19.8 kWh multiplied by 52, which equals 1,029.6 kilowatt-hours per year.

The cost of electricity is given as 6.3 ¢ per kilowatt-hour. To find the annual cost, we multiply the annual energy consumption (1,029.6 kWh) by the cost per kilowatt-hour (6.3 ¢).

To convert cents to dollars, we divide by 100. Therefore, the annual cost in dollars is (1,029.6 kWh * 6.3 ¢) / 100 = $64.78.

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Answer:

i can give you tuturing 1 on 1 if you give me brainliest

Step-by-step explanation:

30*4 =120 +50

30*9=270+50

Answer:The answer to your question “the sensitivity range for an objective function coefficient is the range of values over which the profit does not change.True or False” Is FALSE.

Answer:

The one on the top right
⊕⊕⊕⊕
O O O O

O O O O

Step-by-step explanation:

Total space for muffins: 3*4=12

Filled: 4

4/12=1/3

Hope this helps!

Answer:

Q: Which picture shows a tray of muffins that is 1/3 full?

Answer:

Hope it helps and have a great night! =D

Answer:

0.815

Step-by-step explanation:

First, find the z-scores.

z = (x − μ) / σ

z₁ = (8 − 10) / 1

z₁ = -2

z₂ = (11 − 10) / 1

z₂ = 1

P(-2 < Z < 1) = P(Z < 1) − P(Z < -2)

Use a chart, calculator, or the empirical rule to find the probability.

Using the empirical rule:

P(-2 < Z < 1) = 0.84 − 0.025

P(-2 < Z < 1) = 0.815

Using a chart:

P(-2 < Z < 1) = 0.8413 − 0.0228

P(-2 < Z < 1) = 0.8185

The probability of selecting number will be "0.8185".

According to the question,

Z-score be:

→ \(z = \frac{x - \mu}{\sigma}\)

By substituting the values,

 \(z_1= \frac{8-10}{1}\)

      \(= -2\)

  \(z_2 = \frac{11-10}{1}\)

       \(= 1\)

By using the empirical rule,

→ \(P(-2 < Z<1) = P(Z<1)-P(Z<-2)\)

                            \(= 0.84-0.025\)

                            \(= 0.815\)  

By using chart,

→ \(P(-2 < Z < 1) = 0.8413-0.0228\)

                            \(= 0.8185\)

Thus the above response is correct.  

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ANSWER :

The zeros are 1/2 and -5

EXPLANATION :

From the problem, we have the function :

The zeros of the function are the values of x when f(x) = 0

Using quadratic formula with a = 2, b = 9 and c = -5

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

\(4x+3\)

Step-by-step explanation:

\(5x+4+(-x)-1\)

Remove parentheses: \((-a)=-a\)

\(=5x+4-x-1\)

Group like terms

\(=5x-x+4-1\)

Add similar elements: \(5x-x=4x\)

\(=4x+4-1\)

Add/subtract the numbers: \(4-1=3\)

\(=4x+3\)

The distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians is 161.5 feet.

Given,The distance from the center of a Ferris wheel to a person who is riding is 38 feet.To find the distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians. Formula used:When an object travels on the circular path with the radius 'r' then the distance it travels is given by `s=rθ`.Where `s` is the distance, `r` is the radius and `θ` is the angle traveled by the object.So, the distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians is given by s= 38 x 4.25=161.5 feet.Hence, the distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians is 161.5 feet.

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Answer:

work is pictured and shown

Answer:

Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Step-by-step explanation:

Given that:

Total number of shrimp contained in the bag of Emily = 75

Number of skewers available = A dozen

A dozen means 12.

Therefore, there are 12 number of skewers available.

Each skewer can have = 5 number of shrimp

Total number of shrimp on the 12 skewers = 12 \(\times\) 5 = 60

Total number of leftover = Total number of shrimp in the bag - Total number of shrimp on the 12 skewers = 75 - 60 = 15

Therefore, Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

The biggest  area of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.

GIVEN:

SOLVING:

Area of the quadrilateral is

hence,The biggest  area  of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.

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Answer:

-3

Step-by-step explanation:

Isolate -3y by subtracting x from both sides

-3y = -18 - x

Divide everything by -3

y = 6 + 1/3x

Slope is 1/3, and perpendicular lines have the reverse reciprocal slope, so our slope is -3

Answer:

Step-by-step explanation:

How to Solve for l: s=l+w

if s = l + w

l = s - w

Answer:

0.6293

Step-by-step explanation:

The \(z\) score for $24000 is \(\frac{24000-25000}{3000} \approx 0.333\).

\(P(z<0.333)=0.6293\)

(i) there are approximately 266 6 by 6 permutation matrices with det(P) = 1.

(i) The number of 6 by 6 permutation matrices with det(P) = 1 can be determined by counting the number of derangements of a set of size 6. A derangement is a permutation in which no element appears in its original position. The number of derangements of a set of size n is given by the derangement formula:

D(n) = n! * (1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)

For n = 6, the number of derangements is:

D(6) = 6! * (1/0! - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!)

Simplifying the expression:

D(6) = 6! * (1 - 1 + 1/2 - 1/6 + 1/24 - 1/120 + 1/720)

D(6) = 6! * (0.368056)

D(6) ≈ 265.99

(ii) Finding a specific 6 by 6 permutation matrix that requires 4 row exchanges to reach the identity matrix would involve a trial-and-error process or a specific algorithm. It's difficult to provide a specific matrix without additional information or constraints.

(b) Statements:

(i) If det(A - B) = 0 then det(A) = det(B).

False. The determinant of a matrix is not necessarily preserved under subtraction. For example, consider A = [[1, 0], [0, 1]] and B = [[1, 1], [1, 1]]. Here, det(A - B) = det([[0, -1], [-1, 0]]) = 1, but det(A) = det(B) = 1.

(ii) If A is non-singular, then it is row equivalent to the identity matrix.

False. Row equivalence means that two matrices can be transformed into each other through a sequence of elementary row operations. A non-singular matrix, also known as invertible or non-singular, is row equivalent to the identity matrix after a sequence of row operations. However, the statement is not true in general. For example, consider the matrix A = [[1, 2], [2, 4]]. It is non-singular (the determinant is 0), but it is not row equivalent to the identity matrix.

(iii) If A and B are square matrices, then det(A + B) = det(A) + det(B).

False. The determinant of a sum of matrices is not equal to the sum of their determinants. In general, det(A + B) ≠ det(A) + det(B). For example, consider A = [[1, 0], [0, 1]] and B = [[-1, 0], [0, -1]]. Here, det(A + B) = det([[0, 0], [0, 0]]) = 0, while det(A) + det(B) = 2.

(iv) If A is a square matrix of order 3 and det(A) = -4, then det(Aᵀ) = -12.

True. The determinant of the transpose of a matrix is equal to the determinant of the original matrix. Therefore, if det(A) = -4, then det(Aᵀ) = -4. The determinant is unaffected by transposition.

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Answer:

last set

Step-by-step explanation:

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

Answer The last set

:

Step-by-step explanation:

7236 is NOT divisible by 10

Step-by-step explanation:

any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10

In a bigram model, the probability of a word is computed as the product of the probability of the previous word and the probability of the current word given the previous word. This is also known as a multinomial model.

A bigram model computes the probability of a pair of consecutive words in a document, represented as P(w2|w1), where w1 is the first word and (w1, w2) is the pair of consecutive words. This model is a multinomial model, which means the probability distribution is over multiple outcomes. Given a vocabulary size of V, the number of parameters in a bigram model would be V^2, as each word can be paired with any other word in the vocabulary.

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When computing the given expressions for f(x) = 3x - 1, we find that f(3 + 1) = 15, f(3) + f(1) = 8, f(3-1) = 5, f(3) = 8, f(1) = 2, and f(3-1) = 5.

To find f(3 + 1), we substitute the value of 3 + 1 into the expression for f(x): f(3 + 1) = 3(3 + 1) - 1 = 12 - 1 = 11.

Next, to calculate f(3) + f(1), we substitute the values of 3 and 1 into the expression for f(x) separately and add them together: f(3) + f(1) = (3 * 3 - 1) + (3 * 1 - 1) = 8.

For f(3-1), we substitute the value of 3 - 1 into the expression for f(x): f(3-1) = 3(3-1) - 1 = 5.

Since f(3) and f(1) are both defined as 3x - 1, they have the same value: f(3) = f(1) = 8.

Finally, to compute f(3) f(1), we multiply the values of f(3) and f(1) together: f(3) f(1) = (3 * 3 - 1)(3 * 1 - 1) = 5.

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Answer:

1000

Step-by-step explanation:

These are all power 3 of the first 10 numbers.

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

The 10th number is

10^3 = 1000

And the next one is then

11^3 = 1331

Answer:

550 inches

Step-by-step explanation:

10*15/2=75

10*5/2=25

15*30=450

75+25+450=550

The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Answer:

please give me brainlist and follow

Step-by-step explanation:

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

The range for the rod will be  11.218  - 11.812 feet

Given,

A factory has a machine that makes steel rods. The length of the rods that the machine makes feet.

Mean, μ = 11.5 feet

Standard deviation, σ = 0.3

The factory manager does not want to use the rods from the bottom 20% and the top 15%.

We have to find the length of the rods that the machine makes follows a normal distribution curve.

Here,

The factory manager doesn't want percentile 0-20 and percentile 85-100.

Here,

We have to know the z score of percentile 20 and 85.  

Z-score of percentile 20 is -0.94, then the calculation will be :  

x=  11.5 feet+ 0.3 feet × z-score  

x=  11.5 feet+ 0.3 feet × (-0.94)

x=  11.5 feet-  0.282 feet

x=  11.218 feet  

Z-score of percentile 85 is +1.04 then the calculation will be :  

x=  11.5 feet+ 0.3 feet × z-score  

x=  11.5 feet+ 0.3 feet × 1.04

x=  11.5 feet+ 0.312 feet  

x=  11.812 feet

Therefore,

The range for the rod will be  11.218  - 11.812 feet

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Answer:d

Step-by-step explanation: