Is this a function? Why or why not? Explain your reasoning for each part.

Answer:

B. 15.2 inches.

In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.

Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)

The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.

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The last digit of the product is 5.

To find the last digit of the product of these numbers, we only need to focus on the last digit of each number, since the other digits do not affect the last digit of the product. We can observe that every odd number has a last digit of 1, 3, 5, 7, or 9. Therefore, we only need to consider the last digit of every fifth odd number in the given sequence.

The last digit of 2001 is 1.

The last digit of 2003 is 3.

The last digit of 2005 is 5.

The last digit of 2007 is 7.

The last digit of 2009 is 9.

The last digit of 2011 is 1.

The last digit of 2013 is 3.

The last digit of 2015 is 5.

The last digit of 2017 is 7.

The last digit of 2019 is 9.

To find the last digit of the product of these numbers, we need to multiply all of these last digits together. We can group the digits into pairs that multiply to 1, and there is one 5 remaining. Multiplying all of these digits together gives:

1 * 3 * 5 * 7 * 9 * 1 * 3 * 5 * 7 * 9 * 5 = 5

Therefore, the last digit of the product is 5.

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Answer: This is a binomial probability problem. Let X be the number of properties sold during a week, then X has a binomial distribution with parameters n=19 and p=0.3.

The probability of selling at least 5 properties is:

P(X ≥ 5) = 1 - P(X < 5)

To calculate P(X < 5), we can use the binomial cumulative distribution function or the normal approximation to the binomial distribution.

Using the binomial cumulative distribution function, we have:

P(X < 5) = Σ P(X = k) for k = 0 to 4

Using the formula for the binomial probability mass function, we get:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (0.7)^19 + 19(0.3)(0.7)^18 + 171(0.3)^2(0.7)^17 + 969(0.3)^3(0.7)^16 + 3876(0.3)^4(0.7)^15

Using a calculator or statistical software, we get:

P(X < 5) = 0.95044

Therefore, the probability of selling at least 5 properties in one week is:

P(X ≥ 5) = 1 - P(X < 5) = 1 - 0.95044 = 0.0496 (rounded to four decimal places).

So the probability of selling at least 5 properties in one week is approximately 0.0496 or 4.96%.

Step-by-step explanation:

The scale factor is 2/3 and the value of x and y are 9 and 10 respectively

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.

scale factor = length of new shape/ length of original

= 8/12 = 2/3

x = 6 ÷ 2/3

x = 6 × 3/2

x = 9

y = 15 × 2/3

y = 10

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By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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Answer:x=-4,-2

Step-by-step explanation:it is

To write the equation of a rational function that has been reflected, shifted 6 down, 8 to the right and stretched by a factor of 4, we have to start with the basic rational function which is:

To shift it down by 6, we must subtract 6 from the function, so we have:

To shift the function to the right by 8, we substitute x for (x-8), finding this result:

To stretch the function by a factor of 4, we have to multiply the denominator by 4, which will result in:

Therefore, the equation of the rational function will be:

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Answer: To find the perimeter of triangle JKL, we need to find the length of each side and add them up. We can use the distance formula to find the length of each side:

Side JK = sqrt[(2 - (-5))^2 + (3 - (-7))^2] = sqrt[7^2 + 10^2] = sqrt[149]

Side KL = sqrt[(-1 - 2)^2 + (-7 - 3)^2] = sqrt[(-3)^2 + (-10)^2] = sqrt[109]

Side LJ = sqrt[(-1 - (-5))^2 + (-7 - (-7))^2] = sqrt[4^2] = 4

Therefore, the perimeter of triangle JKL is:

P = JK + KL + LJ = sqrt[149] + sqrt[109] + 4

To find the area of triangle JKL, we can use the formula:

A = 1/2 * base * height

We can choose any side as the base, and the corresponding height will be the perpendicular distance from the opposite vertex to the base. Let's choose side KL as the base. The height from vertex J to side KL is the perpendicular distance between J and the line containing KL. We can find this distance using the formula for the distance between a point and a line:

Area = 1/2 * KL * h

where h = |(2 - (-1))( -7 - 3) - (-5 - 2)(-1 - 3)| / sqrt[(-1 - 2)^2 + (-7 - 3)^2]

Simplifying the above expression, we get:

h = 24 / sqrt[109]

Therefore, the area of triangle JKL is:

A = 1/2 * KL * h = 1/2 * sqrt[109] * 24 / sqrt[109] = 12

So, the perimeter of triangle JKL is sqrt[149] + sqrt[109] + 4, and the area of triangle JKL is 12.

Step-by-step explanation:

The data transfer rate per second​ is found as: 24 KB / sec.

Data transfer:  5760 KB

Time : 240 seconds

Rate per second​ = Data transfer / Time

Rate per second​ = 5760/ 240

Rate per second​ = 24

Thus, the data transfer rate per second​ is found as: 24 KB / sec.

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The answer to this question is as follows equation  As a result, each recipient will get $1,350.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.  

We must divide the total sum by three in order to distribute the funds among the three recipients equally. Let x represent the total sum that will be given to each recipient.

x = 4,050 / 3

x = 1,350

As a result, each recipient will get $1,350.

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The probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome. The conditional probability P(A|B) occur only in the case of dependent events. It gives the conditional probability of A given that B has occurred.

P(F|G) = P(F∩G) / P(G)

P(F∩G) = Probability of happening of both F and G

P(F) = 199/600 = 0.3317

P(F∩G) = 79/600 = 0.1317

P(G) = 330/600 = 0.55

P(F|G) = 0.1317/0.55

P(F|G) = 0.2394.

Two events say A and B are independent if the probability of occurrence of one of them is not affected by the occurrence of the other, mathematical expressed as P(A ∩ B) = P(A) × P(B)

P(F) × P(G) = 0.3317 × 0.55

P(F) × P(G) = 0.1824

P(F∩G) is not equal to P(F) × P(G) from the data given.

Therefore, the probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.

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Answer:

x = 4

Step-by-step explanation:

The 95% prediction interval for the height is given by the inequality 177 cm < y < 200 cm.

The interpretation is that we are 95% sure that the height of a person with a foot length of 29 cm is greater than 177 cm and less than 200 cm.

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

In this problem, the bounds of the interval are given as follows:

We have a compound inequality, hence both conditions have to be respected simultaneously.

There is not enough information to obtain the interval, hence we just interpret the given interval.

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The irrational number that is between the numbers is 3.112...

Given that

Numbers =  3.111... and 3.222....

The question states that the numbers are ratonal numbers

This is not true because the numbers are irrationa number dues to the ... appended to the numbers

Having said that

The irrational number between  3.111... and 3.222 is 3.112...

This is so because

3.111... < 3.112... < 3.222

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As a result, the price of the ribbons is proportional to the number of party favours, with each Favour costing (3/4) dollars.

A measurable quality such as weight, length, time, volume, or pressure is referred to as quantity. A unit is a unit of measurement that is used to measure other quantities (for example, a gramme, a second, a liter, or a pascal are unit of the above quantities). Chemists employ a wide range of measurements.

The amount of ribbon required for n party favours is calculated as follows:

19n inches (since each party Favour requires 9 inches of ribbon)

As the price is stated in dollars per yard, we must first convert the amount of inches to yards before we can determine the ribbon's total cost. Since there are 36 inches in every yard, we can calculate the number of yards by dividing the total amount of inches by 36:

Total yards of ribbon = (9n) / 36 = (n) / 4

Thus, the following phrase represents the ribbon's overall cost:

3 × (n/4) = (3n) / 4 dollars

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Answer:

please give more information like what to find

3.5, -10.5

Step-by-step explanation:

Answer:

a) opens down

c) directrix at y = 1/8

d) vertex at (-1/2,0)

Step-by-step explanation:

Starting from the given equation:

4x^2 + 4x + 2y + 1 = 0

We can rearrange to obtain the standard form of the equation of a parabola:

2(y + 1/2) = -4(x + 1/2)^2 + 1

(y + 1/2) = -2(x + 1/2)^2 + 1/2

Comparing to the standard form:

(y - k) = a(x - h)^2

We can see that the vertex of this parabola is at the point (-1/2, -1/2).

Next, we can find the axis of symmetry by noting that the parabola is symmetric about a vertical line passing through the vertex. This line is given by:

x = -1/2

We can also determine whether the parabola opens upward or downward by looking at the sign of the coefficient a. In this case, a = -2, so the parabola opens downward.

The distance between the vertex and the directrix is given by |1/(4a)|. Therefore, the distance between the vertex (-1/2, -1/2) and the directrix is:

|1/(4(-2))| = 1/8

So the directrix of the parabola is the horizontal line y = 1/8.

Therefore, the correct options are:

a) opens down

c) directrix at y = 1/8

d) vertex at (-1/2,0)

The other options are incorrect:

b) The parabola does not open to the left.

e) The directrix is not a vertical line at x = -3/8.

Answer:

40) sorry if I'm wrong :<

Answer:

Yes, it's a polynomial

Step-by-step explanation:

A polynomial is an expression that only involves operations of addition, subtraction, multiplication, and positive integer powers and variables.

Your expression fits the criteria.  You could also make this into a binomial and get (x-8)(x+4).

Please answer my question that I posted.  I'm stuck and I really need help.

The number of hours it would take to read the history chapters is  5 hours 25 minutes.

In order to determine how long it would take to read the assigned chapters in the history book, multiply the time it take to read the science article by 13.

Multiplication is the mathematical operation that is used to determine the product of two or more values. The sign that is used to represent multiplication is x.

Time it would take to read the history chapters = 25 x 13 = 325 minutes

325 / 60 = 5 hours 25 minutes

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Answer:

Let's use option C to represent the relationship between the number of bags of dog food sold and the profit made:

Profit per bag of dog food = $5.50

Total expenses per day = $2,500

The store wants to make a profit of at least $5,225 per day.

If d represents the number of bags of dog food sold, then the profit made can be represented as:

Profit = Revenue - Expenses

Revenue = Profit + Expenses

Revenue = $5.50d + $2,500

To make a profit of at least $5,225 per day, we can set up the following inequality:

$5.50d + $2,500 ≥ $5,225

Simplifying:

$5.50d ≥ $2,725

Dividing both sides by $5.50:

d ≥ 500

Therefore, the store must sell at least 500 bags of dog food per day to make a profit of at least $5,225 per day.

The correct inequality that represents this relationship is option C: 5.50d +2,500 ≥ 5,225.

Answer:

f(x) = (x-5)(x+2)^2

Step-by-step explanation:

use desmos graphing calculator! it's very helpful and free :)

Answer:

From the graph,

The zeros of the function are at x= -2 and x= 5

But since at root -2,it doesn't cross the x axis, the root has even multiplicity

Ans:(x+2)^2 (x-5).....option B

Answer:

the billing for water consumption between April and May is 275 pesos.

Step-by-step explanation:

To find the billing for water consumption between April and May, we need to calculate the difference in the water usage as measured by the water meter.

The difference between the readings in April and May is:

430.4 kl - 417.8 kl = 12.6 kl

To calculate the cost of this water usage, we need to multiply the volume of water by the cost per kl and then add the basic charge.

The cost of the water usage is:

12.6 kl x 20 pesos/kl = 252 pesos

Adding the basic charge of 23 pesos, the total billing for water consumption between the two months is:

252 pesos + 23 pesos = 275 pesos

Therefore, the billing for water consumption between April and May is 275 pesos.

The equation defines y as a function of x, where the function has a slope of -2 and a y-intercept of -8.

If there is only one unique value of y for each value of x, then the equation 4x + y = 2x - 8 does not define y as a function of x.

The equation can be rewritten as y = mx + b, where m denotes the slope and b the y-intercept.

4x + y = 2x - 8

Taking 2x away from both sides:

2x + y = -8

When we take away 2x from both sides, we obtain:

y = -2x - 8

As a result, the equation establishes y as a function of x, with a y-intercept of -8 and a slope of -2.

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The population of the country in 2024, as predicted by this function, is 1,847 million. The population of the country in 2051, as predicted by this function, is 2,927 million.

An exponential function is a mathematical function that increases or decreases at a rate proportional to its current value. Exponential functions are used in a variety of sciences and everyday applications. For example, population growth is an exponential function of time because the population increases by a fixed percentage each year.

The exponential function f(x) = 565(1.026)ˣ models the population of a country, f(x), in millions, x years after 1970. Substituting 0 for x, the population of the country in 1970 was 565 million. Substituting 27 for x, the population of the country in 1997 was 1,118 million. The population of the country in 2024, as predicted by this function, is 1,847 million. The population of the country in 2051, as predicted by this function, is 2,927 million.

It appears that the population of the country is growing by a factor of 3 every 27 years. This is evident from the fact that the population in 1997 is 3 times the population in 1970, and the population in 2024 is 3 times the population in 1997. This pattern is expected to continue with the population in 2051 being 3 times the population in 2024.

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This represents the number of small rolls the club sold.

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides.

To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

In the equation 3s + 135 = 4.5 (s+10)

The equation 3s + 135 = 4.5(s + 10) can be used to represent this situation, where s represents the number of small rolls the club sold.

Hence, represents the number of small rolls the club sold.

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Answer: The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Step-by-step explanation:

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

Answer:

The median of the given data is 20. To find the median, arrange the data in numerical order, and then take the middle value. In this case, the data is arranged in numerical order as 0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60. The middle value is 20, which is the median.

Answer:

17.5

Step-by-step explanation:

To find the median of a set of numbers, we need to arrange the numbers in order from smallest to largest and then find the middle value.

In this case, the numbers in the set arranged in ascending order are:

0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60

There are 15 numbers in the set, which means that the middle value is the eighth number. Since there are two numbers in the middle (15 and 20), we take the average of these two numbers to find the median:

median = (15 + 20) / 2 = 17.5

Therefore, the median of the set of numbers is 17.5.

The pair of functions are inverses, as their compositions result in x.

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

If two functions are inverse, the composites f(g(x)) and g(f(x)) both result in x.

The composite functions for this problem are given as follows:

Hence they are inverses.

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