100 points HELP WILL MARK BRAINLIEST

could the ordered pairs (x,y) pairs have been generated by linear function?

x y
0 0
1 1
2 4
3 9

justify your answer in ethier words, pictures, or both

Answers

Answer 1

Yes ,

Let's create orderer pairs from the table of function.

(0,0)(1,1)(2,4)(3,9)

Note:-

If (x,y) be a co-ordinate pair of a function then x is the domain and y is the range.


Related Questions

A study is designed to test the effects of location (island vs. mainland) and squirrels (present or absent) on the cone sizes of lodgepole pines. Which of the following interaction plots is consistent with this combination of main effects and interactions? A main effect of location is present. A main effect of squirrels is present. An interaction between squirrels and location is present.

Answers

The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.

An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).

Based on the given information, we have the following main effects and interactions:

1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.

2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.

3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.

Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.

Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.

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An equilateral triangle as a side of 35 cm what is the distance around the triangle​

Answers

Answer:

Step-by-step explanation:

To find the perimeter of an equilateral triangle is equalled to 3s.

35 x 3

105

Write an inequality for the situation.
No more than 31 people, p, can ride this bus

Please help me I’ve been stuck in the same question for 15 mins

Answers

The inequality used to represent the situation is written as p ≤ 31

What is an inequality?

An inequality is simply described as a non-proportional or an unequal comparison between numbers, terms or expressions.

Inequality simply means 'not equal to'

The relationship between two elements or values that are found unequal to each other is described by inequalities.

The inequality signs in mathematics includes;

< which represents less than> which represents greater than≤ which represents less than or equal to≥ which represents greater than or equal two

From the information given, we have that

p in this sense represents the number of people that can ride the bus

Then we can represent the situation as an inequality, we have;

p ≤ 31

Hence, the expression is p ≤ 31

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given that the absolute value of the difference of the two roots of $ax^2 + 5x - 3 = 0$ is $\frac{\sqrt{61}}{3}$, and $a$ is positive, what is the value of $a$?

Answers

The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.


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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

the method of reduction of order can also be used for the nonhomogeneous equationa. trueb. false

Answers

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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Use Green's Theorem to evaluate the line integral along the path C is the triangle with vertices (0,0), (2,0), and (2, 1) and the path is a positively oriented curve. ∫C xy dx + y^5 dy

Answers

The line integral along the path C is:

∫C xy dx + y^5 dy = ∬R (∂Q/∂x - ∂P/∂y) dA = ∬R (1 - x) dA = 5/3

We can use Green's Theorem to evaluate the line integral by converting it into a double integral over the region enclosed by the curve. Green's Theorem states that for a vector field F(x,y) = P(x,y)i + Q(x,y)j and a positively oriented, piecewise smooth curve C that encloses a region R, we have:

∫C P(x,y) dx + Q(x,y) dy = ∬R (∂Q/∂x - ∂P/∂y) dA

In this case, we have:

P(x,y) = xy

Q(x,y) = y^5

∂Q/∂x = 0

∂P/∂y = x

So, we need to compute the double integral of x over the region R enclosed by the triangle C. This can be split into two integrals over two triangles:

∬R x dA = ∫0^1 ∫0^(2-2y) x dx dy + ∫1^2 ∫0^(2-y) x dx dy

Evaluating the integrals, we get:

∬R x dA = ∫0^1 y(2-2y)^2/2 dy + ∫1^2 y(2-y)^2/2 dy

= 5/3

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Identify the independent and dependent variable for the given situation. D = 5t

Identify the independent and dependent variable for the given situation. D = 5t

Answers

Answer:

d = dependant; t = independant

Step-by-step explanation:

The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.

Answer:

\(D\) = dependent; \(t\) = independent

Step-by-step explanation:

\(D\) is the independent variable since its value relies/depends on the value of \(t\).

\(t\) is the independent variable since it is the input variable which can be changed.

Hope this helps :)

if 28.0% of a sample of copper-64 decays in 6.16 hours, what is the half-life of this isotope (in hours)?

Answers

The half-life of this isotope (in hours) is 13.0

Isotopes are variations of chemical elements that have a varied number of neutrons but the same number of protons and electrons. In other words, isotopes are different forms of the same element that have different amounts of nucleons (the sum of protons and neutrons) because of variations in the total number of neutrons in each of their individual nuclei.

An important application of isotopes is in the determination of the isotopic signature of element samples via isotope analysis. This is generally done via the process of isotope ratio mass spectrometry.

28% decay means, 72% remains.

Now,

\(N=N_{n} (\frac{1}{2})^{t/t_{12} } \\72=100(\frac{1}{2} )^{\frac{6.16 hours}{t_{1/2} } } \\(\frac{72}{100} )=(\frac{1}{2} )^{\frac{6.16 hours}{t_{1/2} } } \\\)

Taking long as both sides & solving we get,

\(t_{\frac{1}{2} } = 13.0 hours\)

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2 4/5 x = -1 1/4 help please

Answers

Answer: -25/56

Step-by-step explanation: To find x, we must divide both sides of the equation by 2 4/5. Start by turning both sides into improper fractions:

14/5 x = -5/4

Now we divide -5/4 by 14/5 which is equal to -5/4 * 5/14, giving us the answer of -25/56.

2 4/5x = -1 1/4
14x/5 = -5/4
56x = -25
X = -25/56

7x(4x2 – 3x + 9) - 2(x2 + 4x3 - x)

Answers

Answer:

20x the power of 3 -23x to the power of 2 +65x

Step-by-step explanation:

are we confident that the percentage of contra costa county residents that supports a ban is greater than the percentage nationwide as reported by the pew research center? why or why not?

Answers

To determine if the percentage of Contra Costa County residents supporting a ban is greater than the nationwide percentage reported by the Pew Research Center, we need to follow these steps.

1. Obtain the Pew Research Center's report on the nationwide percentage of people supporting a ban.
2. Gather data on the percentage of Contra Costa County residents supporting the ban. This data could come from local surveys, polls, or other relevant sources.
3. Compare the two percentages to see if the Contra Costa County percentage is greater than the nationwide percentage.

If the Contra Costa County percentage is greater than the nationwide percentage, we can be confident that a higher proportion of county residents support the ban. However, it is important to note that survey results may vary based on the sample size, methodology, and timing of the polls. To draw more accurate conclusions, it's essential to consider multiple sources of data and ensure the reliability of the information being used.

In summary, to confidently assert that the percentage of Contra Costa County residents supporting a ban is greater than the nationwide percentage, we must gather local data and compare it to the Pew Research Center's report. The reliability of this conclusion depends on the accuracy and representativeness of the data used.

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use stokes theorem to evaluate ∫cf⋅dr where f(x,y,z)=(2y,xz, x y), z =y 3, x^2 y^2) and C is the triangle with vertices (2,0,0), (0,2,0), and (0,0,2) oriented counterclockwise as viewed from above.

Answers

The value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).

To evaluate the line integral ∫cf⋅dr using Stokes' theorem, we first need to find the curl of the vector field f. The curl of f is given by ∇ × f, where ∇ is the del operator.

Calculating the curl of f:

\(∇ × f = (∂/∂y)(xz) - (∂/∂z)(2y) + (∂/∂z)(xy) - (∂/∂x)(xy) + (∂/∂x)(2y) - (∂/∂y)(2y)\)

\(= x - 2 - x + 2y - y\\= -2 + y\).

Now, let's find the area of triangle C using the vertices given. The triangle with vertices (2,0,0), (0,2,0), and (0,0,2) forms an equilateral triangle in the xy-plane with side length 2.

The area of an equilateral triangle is given by\((sqrt(3)/4) * (side length)^2\), so the area of this triangle is \((sqrt(3)/4) * (2)^2 = sqrt(3)\).

Since we have the curl of f as -2 + y and the area of the triangle as sqrt(3), we can now evaluate the line integral using Stokes' theorem:

∫cf⋅dr = ∬S (∇ × f) ⋅ dS

= ∬S (-2 + y) ⋅ dS

= (-2 + y) ∬S dS

= (-2 + y) * sqrt(3).

Therefore, the value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).

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Frank started the summer with $60 in his account. He
earned $35 working, spent $48 at the beach, spent $24
on movies, spent $50 on new clothes and received $15
for his birthday. What was the final balance of his account
at the end of the summer?

Answers

Answer:

The answer should be 12

Step-by-step explanation

he has 60 in his account already so add 35 and 15 (60+35+15=110) then add 48+24+50 which equals 122. Now subtract 110-122 and you'll get 12. so the answer is 12.

Marian Plunket owns her own business and is considering an investment. if she undertakes the investment, it will pay $28,000 at the end of each of the new 3 years. the opportunity requires an initial investment of $7,000 plus an additional investment at the end of the second year of $35,000. what is the NPV of this opportunity if the interest rate is 8% per year? Should Marian take it?

Answers

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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If the probability for an event is 1/6, what would that be as a percent rounded to the nearest tenth?​

Answers

Answer:

16.7%

Step-by-step explanation:

1/6 as a percent is 16.67 and to round to the nearest tenth would make that number 16.7

Which of the following is a counterexample to the given statement?
The name of every month ends in the letter y.
a. January
b. July
C February
d. December

Answers

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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find the distance between (p,q) and (q,p)​

Answers

\(d = \sqrt{(p - q {)}^{2} + (q - p {)}^{2} } \)

\(d = \sqrt{( {p}^{2} + {q}^{2} - 2pq) + ( {q}^{2} + {p}^{2} - 2pq) } \)

\(d = \sqrt{ {p}^{2} + {q}^{2} - 2pq + {q}^{2} + {p}^{2} - 2pq} \)

\(d = \sqrt{( {p}^{2} + {p}^{2}) + ( {q}^{2} + {q}^{2} ) + ( - 2pq - 2pq) } \)

\(d = \sqrt{2 {p}^{2} + 2 {q}^{2} - 4pq} \)

Does support for new national parks (For or Against) differ by region in the country (West, Midwest, South, Northeast)?Choose the correct inference procedure to answer this question.

Answers

To answer this question, a chi-square test of independence can be used to determine if there is a significant association between region of the country and support for new national parks (for or against).

The null hypothesis would be that there is no association between the two variables, and the alternative hypothesis would be that there is an association.

To analyze whether support for new national parks differs by region in the country (West, Midwest, South, Northeast), you would use an Analysis of Variance (ANOVA) test. The ANOVA test allows you to compare the means of multiple groups (in this case, the regions) to determine if there is a significant difference in support for new national parks among them.

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three sides of a regular polygon with 8 sides are chosen at random. find the probability that, when the 3 sides are extended, they form a triangle including the polygon.

Answers

2/7 is the probability that, when the 3 sides are extended, they form a triangle including the polygon.

What is a polygon?

A polygon is a closed, two-dimensional, flat or planar structure that is circumscribed by straight sides. Its sides are not curled.

                        A polygon's edges are another name for its sides. A polygon's vertices (or corners) are the places where two sides converge.

l Ω l =  \((^{8} _{3} )\)  = 8!/ 3! 5! = 6.7.8/6  = 7.8 = 56

There are two possibilities of choosing three sides of the polygon, so when they are extended, they form a triangle containing the polygon (pictures in the attachment). Multiplying it by the number of sides, gives us 16 possibilities in total.

 l A l = 16

P(A) = l A l/l Ω l

 P (A) = 16/56 = 2/7

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Exploring the 45°-45°-90° Triangle Theorem

Exploring the 45-45-90 Triangle Theorem

Answers

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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Suppose, instead of X, a regression was performed on the explanatory variable Z=2*X. The new value ofwould be ____ times as large as the original.O 02O 50O 1O 200O 50

Answers

Imagine running a regression on the explanatory variable Z=2*X instead of X. The new value of would be 1/2 (1/n) times as large as the original.

When an explanatory variable is altered or perceived to have changed (for instance, the amount of caffeine drank), a response variable is what changes (e.g., reaction times). With other concepts used in research, the terms "explanatory variable" and "response variable" are sometimes used interchangeably. A research scientist variable is an influential factor when it comes to an experiment. It acts as a gauge for the transformation the response variable underwent. It serves as a barometer for the change the response variable underwent. Explanatory variables are commonly referred to as predictor variables or independent variables. The students also want to utilize height to gauge age. The explanatory variable in this instance is height, while the response variable is age.

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Suppose that a regression was performed on the explanatory variable Z = 2*X instead of X. The new value of the coefficient would be half as large as the original, or 0.5 times the original coefficient.

If the explanatory variable Z is a multiple of X in a regression, such as Z=2*X, the coefficient of X will be divided by the constant multiple (2). Therefore, if the original coefficient for X was 1, the new coefficient for Z will be 0.5. Suppose that a regression was performed on the explanatory variable Z = 2*X instead of X. The new value of the coefficient would be half as large as the original, or 0.5 times the original coefficient. This is because when the explanatory variable is multiplied by a constant (in this case, 2), the coefficient of the variable in the regression equation is divided by the same constant.

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If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood

Answers

Answer:

36

Step-by-step explanation:

63/(7/4) 63 divided by 7/4

63* 4/7 63 multiplied by 4/7

=36 answer is 36

What is the probability of tossing 7 Coins and having 4 heads and 3 tails

Answers

Answer:

35/128

Step-by-step explanation:

7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.

What is the measurement of N?

What is the measurement of N?

Answers

Answer:

D 141

Step-by-step explanation:

since it has to equal 180 just add each answer to the other number on the diagram so you answer us

39 + 141= 180

141

PLZ MARK ME BRAINLIEST

I need help with this.

I need help with this.

Answers

Answer:

h

Step-by-step explanation

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

H. 162.56 cm

Step-by-step explanation:

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

list the first three multiples of 11​

Answers

Answer:

22 33 44

Step-by-step explanation:

do you need to include 11

The first three multiples of 11 are 22 33 44

if the z transform of a function f(k) is 2z/[(z^2 0.2z 0.06)(z-1)], assuming f(infinity) is bounded, the limit of f(k) when k goes to infinity is

Answers

Factorize the polynomial to obtain the roots of the equation, which are z=0.2, z=0.06, and z=1.  


The z-transform is a mathematical tool that is commonly used to analyze discrete-time signals and systems. In this case, we are given the z-transform of a function f(k) and we are asked to determine the limit of f(k) as k approaches infinity.

From the given expression of the z-transform, we can see that the denominator is a polynomial of degree 3 in z. We can factorize the polynomial to obtain the roots of the equation, which are z=0.2, z=0.06, and z=1.

Since f(infinity) is bounded, it means that the function f(k) approaches a finite value as k goes to infinity. In other words, the limit of f(k) as k approaches infinity exists.

To determine the limit, we need to use the partial fraction decomposition method to express the z-transform as a sum of simpler fractions. Then, we can use the inverse z-transform to obtain the original function f(k).

Once we have the original function, we can evaluate the limit as k approaches infinity by analyzing the behavior of the function at the poles and zeros of the z-transform.

In conclusion, the limit of f(k) when k goes to infinity can be determined by using the partial fraction decomposition and inverse z-transform methods. The behavior of the function at the poles and zeros of the z-transform will determine whether the limit exists and what its value is.
 

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HELP ASAPPPPPPPP !!!!!! PICTURE BELOW !!! PLEASE I NEED TO PASS .

HELP ASAPPPPPPPP !!!!!! PICTURE BELOW !!! PLEASE I NEED TO PASS .

Answers

The parent would have to earn at least $4.166

How to solve for the earning

$2,475 * 12 months = $29,700

$4,000 savings goal to the family's yearly income

$29,700 + $4,000 = $33,700

yearly income for second parent

80 hours/month * 12 months = 960 hours/year

If offer of daycare is accepted

$33,700 (total income) - $29,700 (first parent's income)

= $4,000

$4,000 / 960 hours = $4.166

this is the minimum wage

The parent would have to earn at least $4.166

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A line, y = mx + b, passes though the point (3,5) and is parallel to y = 6x + 4. What is the value of
b?

Answers

-13 is the  value of b in linear equation.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                              Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

y = 6x + 4

 y = mx + c

is a straight line  of gradient of c.

  m = 6

y = 6x + c

the line passes through points(x,y) where x = 3 and y = 5

      5 = 6 * 3 + c

        c = 5 - 18

         c = -13

         y = 6x - 13

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Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. Do not include units in your answer

Answers

To determine Gunther's weight after 10 weeks, we can use a linear equation. Given that he plans to lose 2 pounds each week, we can represent his weight after 10 weeks as a linear function of time. Therefore, Gunther's weight after 10 weeks would be 268 pounds.

1. The equation would be: weight = starting weight - (rate of weight loss * number of weeks). Substituting the given values, we find Gunther's weight after 10 weeks.

2. Gunther's weight after 10 weeks can be determined using a linear equation. Let's denote Gunther's starting weight as W₀ and the rate of weight loss as R. Since he plans to lose 2 pounds each week, the rate of weight loss R is -2 (negative because it represents a decrease in weight).

3. The equation for Gunther's weight after 10 weeks would be: weight = W₀ - (R * number of weeks).

Substituting the given values, we have weight = 248 - (-2 * 10).

4. Simplifying further, weight = 248 + 20 = 268. Therefore, Gunther's weight after 10 weeks would be 268 pounds.

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