Paulina compares the inverse variation equations for these situations.
• Equation y varies inversely with x, and y = 24 when x = 4.

• Equation m varies inversely with n, and m = 18 when n = 6.

Which equation is written correctly and has the smaller constant of variation?

A. Y= 6/x
B. Y= 96/x
C. m=3/n
D. m= 108/n

The probability of getting a poker hand with two jacks or two fives is approximately 0.009 or 0.9%.

To calculate the probability of getting a poker hand with two jacks or two fives, we need to know the total number of possible poker hands and the number of poker hands with two jacks or two fives.
There are a total of 52 cards in a standard deck of playing cards. To get a poker hand with two cards, we need to choose two cards out of 52. The number of ways to choose two cards out of 52 is given by the combination formula, which is:
C(52,2) = 52! / (2! * (52-2)!) = 1326
Therefore, there are 1326 possible poker hands that we can get.
Now, we need to find the number of poker hands that consist of two jacks or two fives. There are 4 jacks and 4 fives in a standard deck of cards, so there are 4C2 = 6 ways to choose two jacks or two fives. Therefore, there are a total of 12 possible poker hands with two jacks or two fives.
The probability of getting a poker hand with two jacks or two fives is given by:
P(two jacks or two fives) = number of poker hands with two jacks or two fives / total number of possible poker hands
= 12 / 1326
= 0.009
Therefore, the probability of getting a poker hand with two jacks or two fives is approximately 0.009 or 0.9%.

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The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

From the question, we have the following parameters that can be used in our computation:

x   f(x)

-1   3

1     6

2    5

3    7

7   8

Using the above as a guide, we have the following:

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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Answer:

$0.95

Step-by-step explanation:

total cost of 7 pens = total amount spent - cost of binder

$7.90 - $1.25 = $6.65

cost of each pen = total cost of 7 pens / 7

$6.65 / 7 = $0.95

Answer:

3rd option

Step-by-step explanation:

Consider the coordinates of A and A'

A (0, 0 ) and A' (5, 2 )

This represents a move of + 5 (0 → 5) units in the x- direction and a move of + 2 ( 0 → 2 ) units in the y- direction.

The figure is unchanged and must therefore be a translation with rule

(x, y ) → (x + 5, y + 2 )

Answer:

♡Greetings!

It's 11 percent ♡

Hope I could help you, stay safe! \(≧▽≦)/

~ Clara

✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ

Step-by-step explanation:

We need to know how to read a graph inorder to solve the problem. At the end of 6 weeks, Lorena will have more money, she will have $8 more than Benita.

We know that Lorena started with $40 and she added $8 every week. We need to find out the final amount she has at the end of 6 weeks. For Benita, we can see from the graph that she started with $50, since the graph starts from $50, and if we observe the amount after every week we can see that she adds $5 every week to the savings. We can directly say from the graph that the final amount Benita has after 6 weeks is $80.

amount Lorena has after 6 weeks = 40+ (6x8)=40+48=$88

Therefore we can see that Lorena will have more money after 6 weeks and she has $8 more than Benita.

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The increase in price represents linear growth and the constant growth rate or growth factor per minute = 0.65 per min.

A linear growth is defined as the type of growth that is always at the same rate while exponential growth is the type of growth that increases with time.

From the data recorded by the student, the amount collected every 10 minutes by the driver = $6.5

If 10 minutes = 6.5

1 minute = X

Make X the subject of formula;

X = 6.5/10

X = 0.65

Therefore, the growth rate per minute = 0.65/min

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Since Desean sets up his zero based budget and has $175 left after he assigns all of his expenses to each category. Therefore, a good category for him to put that money in is money for bills.

In Economics, a budget can be defined as a financial plan that is typically used for the estimation of revenue and expenditures (expenses) of an individual, business organization or government in the form of money, especially for a specified period of time, often one year.

In this context, we can reasonably infer and logically deduce that Desean should put the remaining money ($175) in the money for bills category.

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The quotient (x²+5x+4) / (x²+x-12) / (x²-1) / (2x²-6x) simplifies to (2x+1) / (x-3), with a restriction on x ≠ 1.

To simplify the given quotient, we need to perform the division of the numerator by the denominator, following the order of operations.

First, we factor all the polynomials:
x²+5x+4 factors as (x+4)(x+1),
x²+x-12 factors as (x+4)(x-3),
x²-1 factors as (x+1)(x-1),
and 2x²-6x factors as 2x(x-3).

We then cancel out the common factors between the numerator and denominator:
[(x+4)(x+1)] / [(x+4)(x-3)] * [(x+1)(x-1)] / [2x(x-3)]

Simplifying further, we get:
[(x+1)(x+1)] / [2x]

Which simplifies to:
(x+1)² / (2x)

Finally, we can rewrite it as:
(2x+1) / (x-3)

Therefore, the quotient in simplest form is (2x+1) / (x-3), with the restriction that x cannot be equal to 1.

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Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

Answer: the answer is P (n,r)

Answer:

30 square feet

Step-by-step explanation:

your welcome It might be wrong

Answer:

B would be the best answer

Step-by-step explanation:

:The Answer is B. A Web diagram shows what connects these different types of doctors.Also B makes the most sience to me.

Answer:

To simplify the expression -3x(-8x+52+5+3), we can distribute the -3x to each term inside the parentheses:

-3x(-8x+52+5+3) = 24x² - 156x - 15x - 9x

Simplifying further by combining like terms, we get:

-3x(-8x+52+5+3) = 24x² - 180x - 9x

Therefore, the simplified expression is 24x² - 189x. None of the options given match this answer. Therefore, there seems to be an error in the original question.

Step-by-step explanation:

Answer:

(m+n)(m-n)

Step-by-step explanation:

formula: x^2 - y^2 = (x+y)(x-y)

add m and n to x and y to get

m^2 - n^2

then the formula says insert the m and n into the formula answer of (x+y)(x-y) to get our answer of

(m+n)(m-n)

Answer:

3/4x because x is how much tyler ate, and x times 3/4 equals the amount han ate

A statistical analysis is internally valid if option B is correct, meaning that the statistical inferences about causal effects are valid for the population studied. Internal validity refers to the accuracy of conclusions drawn from a study, specifically focusing on causal relationships within the population being analyzed.

Statistical analysis is a method of examining data to identify patterns and trends, which can help researchers make informed decisions. Regression is a technique used to determine the relationship between two or more variables, where one variable (the dependent variable) is affected by one or more other variables (independent variables).

The population refers to the entire group of individuals or objects being studied. In order to have internal validity, the statistical analysis must accurately represent the population's characteristics and the causal relationships between variables.

R² (option A) is a measure of how well the regression model fits the data but doesn't necessarily imply internal validity. Option C, t-statistics, is related to hypothesis testing and helps determine if a relationship between variables is statistically significant. However, having all t-statistics greater than |1.96| doesn't guarantee internal validity.

Lastly, option D states that the population is small (less than 2,000) and can be observed. While having a smaller population might make it easier to gather data, this does not guarantee internal validity.

In summary, internal validity is achieved when the statistical inferences about causal effects are valid for the population studied (option B). It ensures that the conclusions drawn from a study are accurate and represent the true relationships within the population.

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Step-by-step explanation:

the domain of the function f(x)=−2x(x−1)(x−2) is all the real numbers.

so the correct answer is c. (-oo , oo)

\((-\infty, \infty)\)

===============================================================

Explanation:

The domain is the set of all allowed x inputs of a function.

For this function, the domain is the set of all real numbers. This is because we can replace x with any number we want. There isn't any worry about division by zero errors for instance. We also don't have to worry about square roots of negative numbers.

The set of real numbers can be represented by the interval \(-\infty < x < \infty\) telling us x can span from negative infinity to positive infinity. We can't reach either endpoint.

That compound inequality then condenses to the interval notation \((-\infty, \infty)\). The use of parenthesis says to exclude the endpoint.

To write the given parametric equations, x=2t-t^3 and y=4-3t$ in the Cartesian form, we need to eliminate the parameter .Using the equation x=2t-t^3, we can write 2t=x+t^3.By squaring both sides, we get:(2t)^2=(x+t^3)^2\Rightarrow 4t^2=x^2+t^6+2xt^3.

The given parametric equations are x=2t−t3,

y=4−3t.To convert these equations into the Cartesian form, we need to eliminate the parameter t.We can eliminate t using the following steps:First, we can write t in terms of x using the equation x=2t−t3.

t=(x/(2-t2))^(1/3)Now, we can substitute this expression for t in the equation

y=4−3t.

y=4−3(x/(2-t2))^(1/3)Finally, we can simplify the above expression to obtain y as a function of x, which gives the Cartesian form of the curve.

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Answer:

=76

Step-by-step explanation:

24+(−9)(−4)+33−17

=24+36+33−17

=60+33−17

=93−17

=76

Edward cannot have a fraction of a pair of shorts, we can conclude that Edward sold approximately 0.286 pairs of shorts.

To find out how many pairs of shorts Edward sold, we can substitute the given values into the equation and solve for S.

Given:

I = $197

J = 5

T = 5

H = 3

M = 3

Substituting these values into the equation:

$197 = 100 + 12(5) + 5(5) + 7S + 5(3) - 8(3)

Simplifying the equation:

$197 = 100 + 60 + 25 + 7S + 15 - 24

$197 = 195 + 7S

To isolate S, we subtract 195 from both sides:

$197 - $195 = 7S

$2 = 7S

Now, we divide both sides

176+ 7S

S ≈ 0.286

Since we cannot have a fraction of a pair of shorts, we can conclude that Edward sold approximately 0.286 pairs of shorts.

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Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

This rate in lb/s is 833.33 lb/s if a large dump truck can move 1,500 tons/h of gravel from one point to another on a work site.

The term "ton-hour" refers to a cooling service that provides 12,000 BTU of cooling, measured as a function of the amount of chilled water that flows through the Energy Transfer Station, the temperature difference between the chilled water at the Delivery Point, and the Return Point and the total BTU gain that occurs.

The imperial and US customary systems of measurement both utilize the unit of mass known as the pound (symbol: lb). The precise weight of the international avoirdupois pound, or today's standard pound, is 0.45359237 kilos. 16 avoirdupois ounces make up an avoirdupois pound.

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Answer:

68

Step-by-step explanation:

w = 4 ; p = 5

7w + 8p = 7*4 + 8*5

             = 28  + 40

            = 68

Step-by-step explanation:

to find the equation of any line we have to first find the slope. the slope formula is:

\( \frac{y2 - y1}{x2 - x1} \)

our slope here would be 8/13

now we input the points in the equation

y = mx + b

then we find b to be -3(7/13)

so the final equation would be:

\(y = \frac{8x}{13} - 3( \frac{7}{13} )\)

To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.

An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.

The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.

However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.

For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.

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No, the explanation is not correct.The phrase "statistically significant at the a = 0.05 level" refers to the result of a statistical hypothesis test. It indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true, assuming a significance level of 0.05.

The student's explanation incorrectly states that the phrase "statistically significant at the a = 0.05 level" means that the probability that the null hypothesis is true is less than 0.05. However, in hypothesis testing, the significance b(α) represents the threshold used to make a decision about rejecting or failing to reject the null hypothesis. It is not a direct measure of the probability that the null hypothesis is true or false. The phrase indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true, assuming a significance level of 0.05.

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