10. The second term of an arithmetic sequence is az = 24. The common difference
is d = -3. Find the first term of the sequence.

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 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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The perimeter of triangle QRS 60. Therefore, the correct answer is C: 60.

The perimeter of a triangle is the sum of the lengths of its sides. Therefore, the perimeter of triangle QRS is 14 + 19 + t.

Since t is the cube of an integer, we can write t as x³, where x is an integer. The perimeter of the triangle is then 14 + 19 + x³.

We also know that t is the longest side of the triangle, so it must be greater than both 14 and 19. This means that x³ must be greater than 19, so x must be greater than or equal to 3.

If x is 3, then t is 3³, or 27. The perimeter of the triangle is then 14 + 19 + 27, or 60.

Therefore, the correct answer is C: 60.

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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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The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division, without the use of equal sign (=). It can include one or more terms, which are separated by addition or subtraction operators.

The expressions that contain exactly two terms are:

7 - 9x

8x2 + 5x

Therefore, The expression -5 + 6x + 3y2 has three terms, and the expression (x+2)(y-4) is a product of two factors, not a sum or difference of terms.

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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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Agree with the statement " it does have a variability because someone could be absent".

What is meant by variability?

The degree to which the data points in a statistical distribution or data collection deviate from the average value and from one another is virtually by definition the measure of variability. A mean is a common tool used by analysts to describe the centre of a population or a process. Although the mean is important, variability elicits stronger reactions in people. Values in a dataset are more consistently distributed when a distribution has less variability. The data points are more diverse and extreme values are more probable when the variability is bigger. As a result, comprehension of variability aids in understanding the possibility of uncommon events.

Peirce says that there is variability because someone could be absent.

I agree with Peirce's statement.

Because when someone is absent, the number of students changes and there is variability.

Now the range of variability changes with how many students are absent.

If there are only a few students absent, then the variability can be low.' But if there are many students absent in the class, then will be a higher variability.

Therefore there can be variability when someone could be absent.

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Answer:

Select the math statement that is true.

Step-by-step explanation:

You're welcome.

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 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 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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Draw a flower

Draw a cupcake

Draw a butterfly

Draw a tree

Draw a cartoon character

Draw a heart

Draw a cat

Draw a sun

Draw a bird

Draw a landscape

Draw a cloud

Draw a house

Draw a star

Draw a fish

Draw a snowman

Draw a rainbow

Draw a car

Draw a dog

Draw a person

Draw a fruit

Remember, practice makes perfect! So, keep practicing and exploring your creativity.

Answer: sm1 took my answer down but yes draw a cartoon character or something similar to an old school drawing try giving the character a new look something u never drawn before

Step-by-step explanation:

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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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 equation represents a linear function, as it is a proportional relationship, and thus the rate of change of the output variable relative to the input variable is constant.

A proportional relationship is defined according to the equation presented as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

A proportional relationship is a special case of a linear function, as it has an intercept of zero.

The equation for this problem is given as follows:

t = 10.8w.

Which is a proportional relationship with a constant of 10.8.

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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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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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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 function distribution of this categorical variable is shown as percentages on the circle graph. As a result, the data is categorical and univariate (one variable).

Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

The right response is: The information is categorical and univariate.

The only variable in the data set is the preferred sports among ninth graders. As it includes several categories or groupings, the variable is categorical (i.e., baseball or softball, basketball, lacrosse, soccer, and field hockey). The distribution of this categorical variable is shown as percentages on the circle graph. As a result, the data is categorical and univariate (one variable).

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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 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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After solving the given equation In [tex]e^{lnx} +[/tex] in [tex]e ^{lnx2}[/tex] = 2 in 8, we know that the value of x is (B) 4.

The equals sign is a mathematical symbol that indicates that two expressions in a formula are equal.

A mathematical statement known as an equation is one that uses the word "equal to" between two expressions with the same value.

As in 3x + 5 = 15, for example.

Equations can be of many different types, such as linear, quadratic, cubic, and others.

So, we have the equation:

[tex]Ine^{inx} + Ine^{Inx2}[/tex] [tex]= 2In8,[/tex]

Now, solve the following equation as follows:

[tex]Inx * Ine +Inx^2 * Ine = 2In8[/tex]

[tex]e^{Inx}+Ine^{Inx2} = 2in8[/tex]

[tex]Inx+Inx^2 = In8^2[/tex]

[tex]In* (x*x^2) In64[/tex]

[tex]x^2 = 64 =4^3[/tex]

[tex]x=4[/tex]

Therefore, after solving the given equation In [tex]e^{lnx }[/tex] + in[tex]e ^{lnx2}[/tex] = 2in8, we know that the value of x is (B) 4.

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Correct question:

What is the true solution to the equation below? In [tex]e^{lnx}[/tex]+ in [tex]e ^{lnx2}[/tex] = 2 in 8

a x = 2

b x = 4

c x = 8

d x = 64

By calculating the Cost Per Point, it can be concluded that advertisers are paying such a premium to run an ad during a sporting event vs. normal primetime programming because sporting events have a larger and more engaged audience.

Cost per Point (CPP) is a measurement of cost efficiency that enables comparison between the cost of one advertisement to other advertisements. CPP is calculated by dividing the gross media cost by the gross rating point.

CPP = gross media cost / gross rating point

The household CPP for the Super Bowl, Men's NCAA Basketball Championship game, and NCIS can be calculated as follows:

For the Super Bowl:

CPP = $5.5 million / 45.0 = $122,222.22

For the Men's NCAA Basketball Championship game:

CPP = $1.0 million / 8.9 = $112,359.55

For NCIS:

CPP = $125,000 / 6.5 = $19,230.77

Comparing the CPP for the Super Bowl, Men's NCAA Basketball Championship game, and NCIS, it is clear that the Super Bowl has the highest CPP, followed by the Men's NCAA Basketball Championship game, and then NCIS.

Advertisers are paying such a premium to run an ad during a sporting event vs. normal primetime programming because sporting events have a larger and more engaged audience.

Sporting events, especially ones like the Super Bowl and the Men's NCAA Basketball Championship game, are highly anticipated and have a dedicated fan base. This means that advertisers have a better chance of reaching a larger audience and making a bigger impact with their ads during these events. Additionally, sporting events are often live, which means that viewers are less likely to skip through commercials. This guarantees that advertisers' messages will be seen by more people, making it worth the higher cost.

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Answer:

14

Step-by-step explanation:

x → -∞, f(x) → 0

x → ∞, f(x) → ∞

As x approaches negative infinity, the value of the exponent 2^x+1 will become very large negative number, approaching zero. Therefore, the function f(x) will approach 5 times zero, which is equal to 0. Thus, we can say:

As x → -∞, f(x) → 0.

As x approaches positive infinity, the value of the exponent 2^x+1 will become very large positive number, approaching infinity. Therefore, the function f(x) will approach 5 times infinity, which is equal to infinity. Thus, we can say:

As x → ∞, f(x) → ∞.

So, the long run behavior of the function f(x)=5(2)^x+1 is that it approaches 0 as x approaches negative infinity and approaches infinity as x approaches positive infinity.

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Given:

5yd

To find:

The area of the hexagon

Solution:

The new price of the notebooks is $2.40.

To find the original price and the new price of the notebooks, we can use a proportion model. Let's call the original price "x" and the new price "y".

The proportion model for this problem would be:

40/100 = 1.60/x

To solve for x, we can cross-multiply:

40x = 100(1.60)

And then divide both sides by 40:

x = 4

So the original price of the notebooks was $4.00. To find the new price, we can subtract the decrease in price from the original price:

y = x - 1.60

y = 4 - 1.60

y = 2.40

So the new price of the notebooks is $2.40.

40/100 = 1.60/4

0.4 = 0.4

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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

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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Answer:

Step-by-step explanation:

80*4=320km