te the following polynomial operations and simplify the r (7x^(3)+3x^(4)-x^(5)+12)+(-13x^(5)+2x^(4)-4x^(2)+x+5).

The rate of interest per annum will be 3.6%.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Isabelle takes out a loan that gathers compound interest.

At the start, the loan amount is £5500

after the 1-year loan amount is £5698.00

After the 2-year loan amount is £5903.13

thus,

P = 5500

For t = 1 year A = 5698.00

since interest is annually thus, the value of n is 1

So, from the formula

5698 =  5500( 1 + r)

5500r = 5698 -5500

r = 198/5500

r = 0.036

or

rate of interest, r = 3.6%

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For the function f(x) = x2 - 2x, the intervals for which f(x) is greater than or equal to zero are x ≥ 0 and x ≤ 2.

We can solve this equation by setting f(x) equal to zero and solving for x:
x2 - 2x = 0
x(x - 2) = 0
x = 0 or x = 2

Therefore, the intervals for which f(x) is greater than or equal to zero are x ≥ 0 and x ≤ 2.

Equations are two mathematical expressions that equal each other, separated by an equals sign ("="). In equations, we can find data that may or may not be known.

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Answer:

log(2)+log(3)+2log(x)

you should try downloading an app called math away

i don't know if it's right but I got the answer from a reliable source

All of the possible outcomes in which Hana wins the game is {6, 8, 10, 12, 14, 16}.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain to occur.

To win the game, the sum of the two spinners must be an even number greater than 6. Let's list all the possible outcomes:

So the possible outcomes in which Hana wins the game are: 2 + 4 = 6, 2 + 8 = 10, 4 + 2 = 6, 4 + 4 = 8, 4 + 6 = 10, 4 + 8 = 12, 6 + 2 = 8, 6 + 4 = 10, 6 + 6 = 12, 6 + 8 = 14, 8 + 2 = 10, 8 + 4 = 12, 8 + 6 = 14, and 8 + 8 = 16.

Therefore, all of the possible outcomes in which Hana wins the game is {6, 8, 10, 12, 14, 16}.

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The measurement of variability that would be best to use for the distribution is Interquartile Range, the correct option is (b).

The best measurement of variability to use depends on the distribution of the data and the purpose of the analysis.

If the distribution is skewed or contains outliers, the median and interquartile range would be better measures of variability than the mean and standard deviation.

The median is less affected by extreme values, and

The interquartile range is a robust measure of spread that is not influenced by outliers.

The mean and mean absolute deviation may be appropriate if the data are approximately symmetric and do not contain outliers.

Therefore, The best measurement of variability is (b) Interquartile range.

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The point on the line segment that is 3/4 of the way from A to B is (8,5.5).

To find the point on the line segment that is 3/4 of the way from A to B, we can use the formula for finding a point on a line segment:

P = (1-t)A + tB

Where P is the point we are trying to find, A and B are the endpoints of the line segment, and t is the fraction of the distance from A to B that we want to find. In this case, t = 3/4.

Plugging in the values for A, B, and t, we get:

P = (1-3/4)(5,-5) + (3/4)(9,9)

Simplifying, we get:

P = (1/4)(5,-5) + (3/4)(9,9)

P = (1.25,-1.25) + (6.75,6.75)

P = (8,5.5)

So the point on the line segment that is 3/4 of the way from A to B is (8,5.5).

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The solutions to the quadratic equation are x = -1/3 and x = -8.

To solve the quadratic equation 3x^2 + 1 = -25x - 7 by factoring, we first need to rearrange the equation so that all the terms are on one side of the equal sign:

3x^2 + 25x + 8 = 0

Next, we need to find two numbers that multiply to give us 8 (the constant term) and add to give us 25 (the coefficient of the x term). These numbers are 20 and 1, so we can factor the trinomial as follows:

(3x + 1)(x + 8) = 0

Now we can use the zero product property to set each factor equal to zero and solve for x:

3x + 1 = 0 or x + 8 = 0

x = -1/3 or x = -8

So the solutions to the quadratic equation are x = -1/3 and x = -8.

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Given:

5yd

To find:

The area of the hexagon

Solution:

The only value of k that satisfies the given inequality and solution set is:

k = 0.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We are given the inequality:

1/2 < k - 4x < 2k + 8

We are also given the solution set of the inequality:

{-3 < x < 2} and {-3 < x < 7/8}

We can simplify the inequality by adding 4x to all parts of the inequality:

1/2 + 4x < k < 2k + 8 + 4x

Next, we can use the given solution set to find the value of k that satisfies the inequality.

If x is between -3 and 2, then the largest possible value of 4x is 8, and the smallest possible value is -12. Therefore:

1/2 + 8 < k < 2k + 8 + 8

or

8.5 < k < 2k + 16

If x is between -3 and 7/8, then the largest possible value of 4x is 7/2, and the smallest possible value is -12. We have:

1/2 + 7/2 < k < 2k + 8 + 7/2

or

4 < k < 2k + 23/2

The intersection of these two solution sets is:

8.5 < k < 2k + 16

and

4 < k < 2k + 23/2

Simplifying the second inequality:

4 < k < 4 + 2k + 23/2 - 2k

or

4 < k < 23/2

Therefore, k must be between 8.5 and 23/2, inclusive.

However, we also need to check if k = 0 satisfies the inequality.

1/2 < 0 - 4x < 2(0) + 8

or

1/2 < -4x < 8

or

-1/8 > x > -2

The solution set {-1/8 > x > -2} is not the same as the given solution set, so k = 0 does not satisfy the inequality.

Therefore, the only value of k that satisfies the given inequality and solution set is:

k = 0.

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Answer:

Step-by-step explanation:

The Domain is (x) values that a certain line covers on a graph.

This line is a segment, so it has a very specific domain.

The domain is written in the form of =>     [tex]a\leq x\leq b[/tex]

    - In which (a) and (b) are the smallest and largest numbers on the domain, respectively.

Here, the line starts at (-11,6) and goes all the way to (2,1)

From here - we take out the y-values to get that the x-values go from (-11) to (2)

That means that the domain. of this here line, is:

[tex]Domain = -11\leq x\leq 2[/tex]

The values of Ф solved using a unit circle, between 0 and 2π, for which tanФ =  - √3 is 2π/3 and 5π/3.

What is a circle?

A circle is a shape made up of all points in a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point. The circle has an area and a perimeter and is a two-dimensional figure. The distance around a circle, or its circumference, is referred to as the perimeter of the circle. The region enclosed by a circle in a 2D plane is said to be its area.

The complete question is given below.

Given,

tan Ф = - √3

We have to find all values of Ф between 0 and 2π using a unit circle.

The unit circle for trigonometric calculations is given below.

from the unit circle,

tan 60 = √3

In quadrant 2,

tan ( 180 - 60) = - tan 60

tan 120 = - tan 160 = -√3

In quadrant 3,  tangent values are positive.

In quadrant 4

tan (360 - 60) = - tan 60

tan 300 = -tan 60 = -√3

Also,

tan 120 = tan 2π/3

tan 300 = tan 5π/3

Therefore the values of Ф solved using a unit circle, between 0 and 2π, for which tanФ =  - √3 is 2π/3 and  5π/3.

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it definitely should be (-2,3)

The simplification of the radical expression √9. is 3.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. When a radical expression appears in the denominator of an algebraic expression, the radical expression is simplified by multiplying the numerator and denominator by the appropriate radical expression (for example, conjugate in the case of a binomial and the same radical in the case of a monomial).

The given expression is √9.

The given expression can be written as:

√(3)(3) = 3

Hence, the simplification of the radical expression √9. is 3.

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Answer:

14

Step-by-step explanation:

From the given information provided, the number of students who brought a packed lunch and did not visit the gift shop is 32.

The number of students who brought a packed lunch and did not visit the gift shop can be calculated by subtracting the number of students who visited the gift shop from the number of students who bought a packed lunch:

32 - 0 = 32

A frequency tree is a visual representation of data that shows how the total number of individuals or items is distributed among different categories or groups. It is commonly used in statistics and probability to organize and analyze data in a hierarchical structure.

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a) There are 128 subsets of A with 8 elements. This is because the number of subsets of a set with n elements is 2 ^ n. Therefore, the number of subsets of A with 8 elements is 2 ^ 8 = 128.

b) There are 82 subsets of A with 8 elements that have only numbers. This is because there are 10 numbers in A and each of these numbers can be included or excluded from the subset of 8 elements. Therefore, the number of subsets of A with 8 elements that have only numbers is 2 ^ 10 = 1024.

c) There are 46 subsets of A with 8 elements that have only letters. This is because there are 6 letters in A and each of these letters can be included or excluded from the subset of 8 elements. Therefore, the number of subsets of A with 8 elements that have only letters is 2 ^ 6 = 64.

d) There are 28 subsets of A with 8 elements that have 2 letters. This is because there are 6 letters in A and each of these letters can be included or excluded from the subset of 8 elements twice. Therefore, the number of subsets of A with 8 elements that have 2 letters is 2 ^ 12 = 4096.

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An abscissa is a line that is drawn perpendicular to the vertical axis, or y-axis, of a graph. It is usually measured in the form of a number, and it is used to determine the position of points, lines, and shapes on a graph. Abscissas are also referred to as the x-coordinates of a graph, and they can be used to plot and analyze data.

Quadrants are the four sections of a coordinate plane formed by the intersection of the x-axis and the y-axis. Quadrants are labeled I, II, III, and IV, with Quadrant I being the upper right-hand corner, Quadrant II being the upper left-hand corner, Quadrant III being the lower left-hand corner, and Quadrant IV being the lower right-hand corner. Quadrants are commonly used to graph equations and to identify points on a coordinate plane.

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The mean and the standard deviation of the binomial variable are given as follows:

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula(PMF) is given by the equation presented as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters, along with their meaning, are listed as follows:

The parameter values for n and p in this problem are given as follows:

n = 3, p = 0.6.

The mean of the binomial distribution is given by the following equation:

E(X) = np.

Hence:

E(X) = 3 x 0.6

E(X) = 1.8.

The standard deviation of the binomial distribution is given by the following equation:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]

Hence:

[tex]\sqrt{V(X)} = \sqrt{3 \times 0.6 \times 0.4}[/tex]

[tex]\sqrt{V(X)} = 0.8485[/tex]

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The answer to the question "(1) 42mod11" is 9.

The answer to the question "Modular Arithmetic: Please solve the following questions. (1) 42mod11" is:

The concept of "Modular Arithmetic" is a system of arithmetic that involves only integers. In modular arithmetic, numbers "wrap around" after they reach a certain value called the modulus.

To solve the given question, we can use the following steps:

Step 1: Find the modulus of the given number. In this case, the modulus is 11.

Step 2: Divide the given number by the modulus. In this case, 42/11 = 3 with a remainder of 9.

Step 3: The remainder is the answer to the question. So, 42mod11 = 9.

Therefore, the answer to the question "(1) 42mod11" is 9.

I hope this answer helps you! If you have any further questions, feel free to ask.

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Answer:₹14.40

Step-by-step explanation:

36x2=72

24x2=48

72+48=120x12=1440/100 =14.40

The pair of equations is y = 25x + 8 and y = 12 + 5x where 'x' is the number of months and 'y' is the total cost.

A system of equations refers to a set of two or more equations that need to be solved simultaneously. The solution of a system of equations is a set of values that satisfy all the equations in the system.

To represent the following situations use variables like x, y, z.. etc. to represent the number of months and total cost and form the equations.

Here we have

An online video streaming service offers two plans for unlimited streaming.

Plan A has a one-time $8 membership fee and is $25 per month.  

Let Plan A run for 'x' number of months and 'y' be the total cost

Total cost for 'x' months, y = 25x + 8  

=> y = 25x + 8

Plan B has a $12 membership fee and is $5 per month.

Let Plan B run for 'x' number of months and 'y' be the total cost

Total cost for 'x' months, y = 12 + 5x

=> y = 12 + 5x

Therefore,

The pair of equations is y = 25x + 8 and y = 12 + 5x where 'x' is the number of months and 'y' is the total cost.

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We can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

Sine formula is used to calculate the sine angle of a right-angled triangle which is the ratio of the opposite side and the hypotenuse.

Given is that a 40-ft-wide house has a roof with a 6-12 pitch (the roof

rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will

have a 3-12 pitch to its roof.

We can write the measure of length AB as -

AB = 6 + √(9 + 296)

AB = 6 + 17.46

AB = 23.46 ft

We can write the measure of length BC as -

BC = 6 + 1/4 x 12

BC = 6 + 3

BC = 9 ft

Therefore, we can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

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The exact value of sin(6/11π) is -sin(6/11π).

The exact value of sin(6/11π) can be found by using the reference angle of 6/11π. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. In this case, the reference angle is (6/11π) - π = (-5/11π).

To find the exact value of sin(-5/11π), we can use the fact that sin(-θ) = -sin(θ). So, sin(-5/11π) = -sin(5/11π).

Next, we can use the fact that sin(θ) = sin(π - θ) to find the exact value of sin(5/11π). So, sin(5/11π) = sin(π - 5/11π) = sin(6/11π).

Therefore, the exact value of sin(6/11π) is -sin(6/11π).

In conclusion, the exact value of sin(6/11π) is -sin(6/11π).

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Answer: 85.41 percent

Step-by-step explanation:

2882.45 / 3374.60 = 0.8541 or 85.41%

Answer:

85.416%

Step-by-step explanation:

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The reference angle for θ = 27π/2 is θr = π/4 and the associated point on the unit circle is (x, y) = (√2/2, √2/2).

The reference angle θr associated with a rotation is the smallest angle formed between the terminal side of the rotation and the x-axis. To find the reference angle for θ = 27π/2, we need to first determine the angle in the first rotation of the circle. Since there are 2π radians in a full circle, we can divide 27π/2 by 2π to find the number of full rotations:

27π/2 ÷ 2π = 27/4 = 6 3/4

This means that there are 6 full rotations and a partial rotation of 3/4. The reference angle for this partial rotation is θr = π/4.

To find the associated point (x, y) on the unit circle, we can use the formulas x = cos(θ) and y = sin(θ). For θ = 27π/2, we can use the reference angle θr = π/4:

x = cos(π/4) = √2/2
y = sin(π/4) = √2/2

Therefore, the associated point is (x, y) = (√2/2, √2/2).

In conclusion, the reference angle for θ = 27π/2 is θr = π/4 and the associated point on the unit circle is (x, y) = (√2/2, √2/2).

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Answer: The Answer is 4

Step-by-step explanation:

1) find the same base of the x² y² n just do the addition normally like this

(7x²y²+4x²y²)-3xy-8xy

so you'll end getting

the final answer

Your monthly house payment given that the bank charges 6.25% APR for a loan of 15 years will be $51.95.

To find the monthly house payment for a loan of $65,000 with a 6.25% APR for 15 years, we can use the formula:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]

Where:
M = monthly payment
P = principal amount
i = monthly interest rate
n = number of monthly payments

First, we need to find the monthly interest rate and the number of monthly payments:
i = 6.25% / 12 = 0.00625
n = 15 years(12 months/year) = 180 months

Now we can plug these values into the formula:
M = 65,000 [ 0.00625(1 + 0.00625)^180 ] / [ (1 + 0.00625)^180 - 1]

M = 65,000 [ 0.00625(1.00625)^180 ] / [ (1.00625)^180 - 1]

M = 65,000 [ 0.024636 ] / [ 0.171184 ]

M = 65,000 [ 0.143875 ]

M = 9,351.88

So, the monthly house payment will be $9,351.88 / 180 = $51.95.

Therefore, the monthly house payment for a loan of $65,000 with a 6.25% APR for 15 years will be $51.95.

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The width of the rectangular field is 51 m. To find the width of the rectangular field, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Given:
P = 294 m
L = 96 m

Substituting the given values into the formula, we get:

294 = 2(96) + 2W

Simplifying the equation, we get:

294 = 192 + 2W

Subtracting 192 from both sides of the equation, we get:

102 = 2W

Dividing both sides of the equation by 2, we get:

W = 51

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The expressions that are equivalent to 2(-2m+7)-9m are C: 2(-8m+6m+7)-9m and D: 2(-6m+4m+7)-9m.

To see why, let's simplify the original expression:

2(-2m+7)-9m = -4m+14-9m = -13m+14

Now let's simplify the other expressions:

(-2m+7)2-9m = -4m+14-9m = -13m+14

2(-8m+6m+7)-9m = -16m+12m+14-9m = -13m+14

2(-6m+4m+7)-9m = -12m+8m+14-9m = -13m+14

So we can see that the expressions 2(-8m+6m+7)-9m and 2(-6m+4m+7)-9m are equivalent to the original expression.

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The number of ID numbers that can be made out of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is 3265920.


To find the number of ID numbers that can be made, we can use the permutation formula:

P(n,r) = n! / (n-r)!

Where n is the total number of digits available and r is the number of digits in the ID number.

In this case, n = 10 (the digits 0-9) and r = 8 (the number of digits in the ID number).

Plugging these values into the formula gives us:

P(10,8) = 10! / (10-8)!

P(10,8) = 10! / 2!

P(10,8) = 3628800 / 2

P(10,8) = 1814400

However, we need to subtract the number of ID numbers that start with 0, since these would not be valid eight-digit numbers. To find this number, we can use the permutation formula again with n = 9 (the digits 1-9) and r = 7 (the remaining digits in the ID number):

P(9,7) = 9! / (9-7)!

P(9,7) = 9! / 2!

P(9,7) = 362880 / 2

P(9,7) = 181440

Subtracting this from the total number of ID numbers gives us:

3265920 - 181440 = 3084480

So the number of ID numbers that can be made out of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is 3084480.

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