Use the definition of the Taylor series to find the first four non-zero terms of the Taylor series about x = 5 for f(x) = 1/x

Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

A box contains five cards lettered A,A,B,C,D. If one card is selected at random from the box and NOT replaced, what is the probability that Jill will draw an A and then a C?​

step 1

Find the probability that Jill draw an A

P=2/5

step 2

Find the probability that jill draw a C

P=1/4

therefore

the probability that Jill will draw an A and then a C is

P=(2/5)(1/4)

P=2/20

Answer:

How to measure an angle with a protractor:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

you can use a protractor to measure and draw angles. To measure angles with a protractor, first place the center point along the bottom edge of the protractor over the vertex of the angle you're measuring. Line up the bottom edge of the protractor with one leg of the angle.

Answer:

62 sq in is the area of the mat

Step-by-step explanation:

the area of the mat = total area added minus the original area of the water color painting.

length of the mat is:L = 20 in + 1 in + 1 in because 1 in  is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in

Area mat = (22 in x 11 in) - ( 20 in x 9 in)

area mat = 62 sq in is the area of the mat

Branily?:)

Answer:

40 minutes

Step-by-step explanation:

Time at which Aaron gets home from school = 4:30 PM

Bedtime for Aaron = 9:00 PM

Total available for Aaron = 9:00 - 4:30 = 4 hr 30 minutes

To convert minutes to hours, we need to divide by 60.

Time spent in playing football = 90 minutes = \(\frac{90}{60} = 1\ hr\ 30\ minutes\)

Time spent eating dinner = 35 minutes

Time spent in doing homework = 1 hr 45 minutes

Total time spent = 1 hr 30 minutes + 35 minutes + 1 hr 45 minutes = 2 hr 110 minutes = 3 hr 50 minutes

Time left for Aaron to play video games = 4 hr 30 minutes - 3 hr 50 minutes = 40 minutes

Answer:

2/3

Step-by-step explanation:

total amount of students - amount of boys

24 - 8 = 16

16/24

2/3

Answer & Step-by-step explanation:

If 8 students are boys, then the remaining students must be girls. We can find the number of girls in the class by subtracting the number of boys from the total number of students in the class:

Total number of students - Number of boys = Number of girls 24 - 8 = 16

So there are 16 girls in the class. To write this as a fraction, we can express the number of girls as a fraction of the total number of students:

Girls' number / Overall, the amount of students equals 16/24.

The largest common factor, which is 8, can be used to split the numerator and denominator of this fraction to make it simpler:

16 / 24 = (16 ÷ 8) / (24 ÷ 8) = 2 / 3

As a result, the fractional representation of the total girls in the class is 2/3.

Hope it helps!

Answer:

A.Positive

Step-by-step explanation:

both of them are positive numbers,and so their sum will also be a positive number

The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.

we calculate the initial condition: y(0) = -2.

1. we evaluate the derivative at t = 0 and y = -2:

y' = 3(0) - 10(-2)² = -40

Next, we update the values using the Euler method:

t₁ = 0 + 0.5 = 0.5

y₁ = -2 + (-40) * 0.5 = -22

2. y' = 3(0.5) - 10(-22)² = -14,860

Updating the values:

t₂ = 0.5 + 0.5 = 1

y₂ = -22 + (-14,860) * 0.5 = -7492

3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9

Updating the values:

t₃ = 1 + 0.5 = 1.5

y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9

Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

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Answer:

The absolute error is the absolute value of the difference between the actual value and the estimated value:

Absolute error = |actual value - estimated value| = |9.5 kg - 9 kg| = 0.5 kg

The percent error is the absolute error expressed as a percentage of the actual value:

Percent error = (|actual value - estimated value| / actual value) x 100%

Plugging in the given values, we get:

Percent error = (0.5 kg / 9.5 kg) x 100% = 5.3%

Rounding to the nearest tenth, the absolute error is 0.5 kg and the percent error is 5.3%.

To sketch the curve of the function f(x) = x(x - 4)^3, we can follow these steps: Determine the intercepts:

x-intercept: Set f(x) = 0 and solve for x:

0 = x(x - 4)^3

This gives x = 0 and x = 4 as the x-intercepts.

y-intercept: Set x = 0 and evaluate f(x):

f(0) = 0(0 - 4)^3 = 0

Analyze the behavior around critical points:

Critical point: x = 4 (from the factor (x - 4)^3)

At x = 4, the function changes direction from decreasing to increasing.

Determine the end behavior:

As x approaches positive or negative infinity, the function also approaches positive or negative infinity, respectively. This indicates no horizontal asymptotes.

Sketch the graph:

Start by plotting the intercepts and the critical point on a coordinate plane.

x-intercepts: (0, 0) and (4, 0)

y-intercept: (0, 0)

Critical point: (4, f(4))

Based on the behavior analysis and the shape of the equation, we know that the curve will pass through the x-intercepts and the y-intercept and change direction at the critical point. The curve will resemble a cubic function with a root at x = 4.

The sketch will show a downward curve from the left side, passing through the x-axis at x = 0, reaching its minimum value at x = 4, and then curving upwards towards positive infinity.

Note: It's always helpful to use additional graphing tools or software to get a more accurate representation of the curve.

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If Mark has $9250 to put towards the project, he can include a maximum of 10 teams in his baseball league.

To determine the number of teams Mark can include in his baseball league, we need to consider the available budget and the expenses involved.

Mark has $9250 to put towards the project. Let's calculate the total expenses for each team:

Registration fees per team = $250

Equipment cost per team = $600

Total expenses per team = Registration fees + Equipment cost = $250 + $600 = $850

To find the number of teams Mark can include, we divide the available budget by the total expenses per team:

Number of teams = Available budget / Total expenses per team

Number of teams = $9250 / $850 ≈ 10.882

Since we cannot have a fraction of a team, Mark can include a maximum of 10 teams in his baseball league.

It's important to note that if the budget were larger, Mark could include more teams, given that the expenses per team remain the same. Similarly, if the budget were smaller, Mark would have to reduce the number of teams accordingly to stay within the available funds.

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Answer:

n= -2

Step-by-step explanation:

Combine like terms, after divide both sides of the equation by the same term, then simplify.

Hope this helps.

The value of discriminant of the quadratic equation is 72.

A Discriminant is a function of the coefficients of a polynomial that can be used to determine the number and type of solutions of the polynomial equation. It is often denoted by the letter "D" or "Δ".

It is denoted by this formula

D = b^2-4ac

As per the data given in the questions

We have to calculate the value of the discriminant of the quadratic equation

As we know if the value of discriminant =0 then the value of D=0 and

if the value of discriminant >0 then value of D>0

so, first we have to find D=0 as per the questions.

As we know that the value of D=

Here the value of a=2 , b= 4 and c = -7

D=16+56

D=72

So, the value of discriminant of the quadratic equation is 72.

Hence, the value of discriminant of the quadratic equation is 72.

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The number of units produced does not affect net operating income when using absorption costing.

All production expenses, including direct materials, direct labour, and both variable and fixed overhead costs, are included in the cost of each unit produced in absorption costing. This means that as more units are manufactured, the total manufacturing cost is distributed over a greater number of units, resulting in a reduced cost per unit.

Variable costing, on the other hand, includes only variable production expenses, such as direct materials, direct labor, and variable overhead costs, in the cost of each unit produced. Fixed manufacturing overhead costs are considered period expenses and are not included in the product cost.

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Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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The variable that should be plotted on the horizontal x-axis is the "number of years of education".

This is because the number of years of education is the independent variable, which typically goes on the x-axis, while the annual salary is the dependent variable, which goes on the vertical y-axis.

The relationship between the two quantitative variables can then be analyzed using a scatter plot or by calculating the correlation coefficient.

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The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.

To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).

Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result

Probability = 5 / 28

Simplifying this fraction, we get:

Probability ≈ 0.1786

Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

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Equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of n is -4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As the equation is given to us, therefore, the value of the n can be found as,

\(3n+2(n+2)=9n+12\\\\3n+4n+4=9n+12\\\\7n-9n=12-4\\\\-2n = 8\\\\n =\dfrac{8}{-2}\\\\n=-4\)

Hence, the value of n is -4.

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After 5.94 sec it will reach at maximum height.

An algebraic equation of the second degree in x is a quadratic equation. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the standard quadratic equation.

y = -16a² + 190x + 72

for maximum y value we need to find y'(x)

y' = -32x + 190

put y' = 0

-32x + 190 = 0

x = 5.94 sec

so after 5.94 sec it will reach at maximum height.

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Answer:

2 miles = 3,520 yards

first we need to find how many yards she's walked already :

400×5=2,000 yards

now subtract :

3,520-2,000= 1,520 yards

Keisha needs to walk 1,520 more yards to complete 2 miles

hope this helped

Step-by-step explanation:

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

This is an impulse purchase.

Step-by-step explanation:

He did not go to the store to buy that speaker. He had an inpulse to buy it when he saw it, even when he did not have enough money to purchase the speaker.

For instance, If he DID go to the store to buy that speaker, it would be a planned purchase, meaning he had the intentions of buying that speaker.

Answer:

Ok here is the answer!

Step-by-step explanation:

To say impulse purchase, the buyer should have less cash on his hand but willing to buy a commodity more than his cash. So the buyer will decide to add cash to his pocket using credit card and go to banks for withdrawal. Hope you get the answer!

Love you all

Answer:

D.

Step-by-step explanation:

(1/6)*60 = 10

(1/6)*450 = 75

Check your work

75/10 = 7.5

450/60 = 7.5

Correct!

Answer:

vvvvvv

Answer is D)

Answer:

When the determinant of a matrix is almost 0, it means that the matrix is close to being singular, which means that its inverse does not exist or is very close to not existing. This has important implications for the solution of systems of linear equations represented by the matrix.

Specifically, if the determinant of a matrix is almost 0, then the matrix is almost singular, which means that its columns are almost linearly dependent. This, in turn, means that the system of equations represented by the matrix has almost linearly dependent equations, which can lead to multiple solutions or no solutions at all.

In terms of the sensitivity of the solution to changes in the constants of the system, a small change in the constants can lead to a large change in the solution when the determinant of the matrix is almost 0. This is because the inverse of the matrix is very sensitive to changes in its entries when the determinant is almost 0.

For example, consider a system of linear equations represented by a matrix A with determinant very close to 0, and let b be the vector of constants on the right-hand side of the equations. Then, the solution to the system can be approximated by the product of the inverse of A (if it exists) and b, that is:

x = A^(-1) b

However, if A is almost singular, then its inverse is very sensitive to changes in its entries, and a small change in b can lead to a large change in x. This can make the solution to the system unreliable and unstable, and can be a source of numerical errors in computations.

Step-by-step explanation:

4300

6 is ones

1 is tens

3 is hundreds

4 is thousands

therefore the answer is 4300

If 4316 is rounded to the nearest 100 then its value will be, 4300

Rounding means making a number simpler but keeping its value nearby original value.

Rules for rounding nearest 100:-

1. If the number's final two digits are 50 or higher, we round it up to the next hundred.

2. If the number's final two digits are 49 or less, we round it down to the closest hundred.

3. If the final two numbers are 00, there is no need to round because the number is already one hundred.

We have given number, 4316

Number's final two digits are less than 49

Hence, The rounded value is 4300

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x=6 m<ABD=20 *I think*

Step-by-step explanation:

Find x

plug in your answer