Can someone help me answer this

The domain is {2, -1, 4, 5} and the relation is not a function

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

{(2,4), (-1,8), (4,-2), (5,6), (2,-2)}

The domain is the set of the x values

So, we have the following representation

x = {2, -1, 4, 5, 2}

Remove repeated entries

x = {2, -1, 4, 5}

So, the domain is {2, -1, 4, 5}

Also, the relation is not a function

This is because the x value 2 has several y values

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W =∫ lower power (-r) to higher power (r + h) (h + r - x) 2pgl [tex]\sqrt{r^2+x^2}[/tex] dx is the integral for the effort needed to pump water out of a spout that is 2 m above the tank.

Integral: In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).

r = 2m

l= 5m

sinθ=x/r

[tex]dv=2l\sqrt{r^2+x^2} dx[/tex]

Let g be the acceleration brought on by gravity, and let p be the density of water.

dm = p dv

dw = dmg (h + r - x)

dw = pg (h + r - x) dx

dw = 2lpg  (h + r - x) [tex]\sqrt{r^2+x^2}[/tex] dx

w = ∫dw

w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x)  [tex]\sqrt{r^2+x^2}[/tex] dx

Therefore, the integral for the work required to pump the water out of a

spout that rises 2 m above the tank is

w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x) [tex]\sqrt{r^2+x^2}[/tex] dx

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None of the options are valid because the specified functions are both parabolic.

Functions represent the connection between two groups of values. For instance, if y=f(x), each value of x has a corresponding value in the set of y. The dependent variable is Y, and the independent variable is x.

An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x. In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Given functions in this case are

f(x)=-15x2+32

g(x)=-17x2+5x+32.

The functions' zeros are

x = 1.461, -1.233, and 1.527.

When g(x) has a higher maximum than f(x), f(x)intercept exceeds g. (x).

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The statement given is true. When approximating the area below a curve, using midpoint rectangles always produces the best approximation.

A good way to estimate areas with rectangles is to make each rectangle cross the curve at the midpoint of that rectangle's top side. Midpoints always the best approximate for the area under the curve using a finite number of rectangles.

The midpoint rule, also known as the rectangle method or mid-ordinate rule, is used to estimate the area under a simple curve. There are other methods to estimate the area, such as the left rectangle or right rectangle sum, but the midpoint rule gives the better approximate compared to the two methods.

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(a) The System of equations that representing this situation is

x= y+14; x+y = 64

(b) There are 39 students in the film-making club and 25 students in the yearbook club.

In the given question, there are a total of 64 students in a film-making club and a yearbook club.

The film-making club has 14 more students than the yearbook club.

a. We have to write a system of linear equations that represents this situation.

Let x represent the number of students in the film-making club

Let y represent the number of students in the yearbook club.

As given that the film-making club has 14 more students than the yearbook club.

So x = y+14

Total students are 64.

So x+y = 64

System of equations:

x= y+14

x+y = 64

b. Now we have to find how many students are in the film-making club and the yearbook club.

The system of equations are;

x= y+14...................(1)

x+y = 64...................(2)

Now putting the value of x in equation 2.

y+14+y = 64

2y+14 = 64

Subtract 14 on both side, we get;

2y = 50

Divide by 2 on both side, we get;

y = 25

Now putting the value of y in equation 1.

x = 25+14

x = 39

There are 39 students in the film-making club and 25 students in the yearbook club.

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Answer:

140 pennies

Step-by-step explanation:

Information:

Define the variables:

If the piggy bank contains 350 pennies and nickels:

[tex]\implies x+y=350[/tex]

If the piggy bank contains pennies and nickels worth $11.90:

[tex]\implies 0.01x+0.05y=11.90[/tex]

Rearrange the first equation to make y the subject:

[tex]\implies y=350-x[/tex]

Substitute the expression for y into the second equation and solve for x:

[tex]\implies 0.01x+0.05(350-x)=11.90[/tex]

[tex]\implies 0.01x+17.5-0.05x=11.90[/tex]

[tex]\implies -0.04x=-5.6[/tex]

[tex]\implies x=140[/tex]

Therefore, there are 140 pennies in the piggy bank.

Answer:

based on the data i can draw a conclusion that child two and child one both grow taller as their time (months) increases. child 2 grows at a faster rate than child 1.

Step-by-step explanation:

Answer:

24. y= -1/3x+1

25. y= -2/-1x+3

The value of x, in degrees, is given as follows:

A. 48.

Similar triangles are triangles that share these two features given as follows:

The similar triangles in this problem are listed as follows:

WUV and WUT.

In triangle UWV, the length of the side adjacent to the angle of 48º has a length of 13.5 cm.

In triangle WUT, the length of the side adjacent to the angle of x has a length of 13.5 cm.

Reminding the two features of similar triangles, namely congruent angle measures and proportional side lengths, the measure of angle x is given as follows:

x = 48º.

(as the equivalent side length is the same, hence the angle measure is also the same).

This means that option A is correct.

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Answer:

u = 8 ; v = 7

Step-by-step explanation:

5u = u + 32

5u - u = 32

4u = 32

4/4 u = 32/4

u = 8

v + 7 = 2v

2v - v = 7

v = 7

The model of the function is  y = -13.75x + 27853.75 and the estimated population in 2010 is 216.25

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

In this problem, we can take the two points to find the slope and y-intercept of the function.

using a linear function model;

y = mx + c

slope (m) = y₂ - y₁ / x₂ - x₁

m = 285 - 340 / 2005 - 2001

m = -13.75

Using the slope, we can find the y-intercept

y = mx + c

Taking one point;

285 = -13.75(2005) + c

c = 27853.75

The model of the function is y = -13.75x + 27853.75

b) The population in 2010 will be

y = -13.75(2010) + 27853.75

y = 216.25

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The required simplified solution of the expression is given as,
1. -2√15      2.3c      4. -5
3. √6         5. 2a

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1.
[tex]=\sqrt{(3 -\sqrt{15} )^2} - \sqrt{(3 +\sqrt{15} )^2} \\=3 -\sqrt{15} - (3 +\sqrt{15})\\=3 -\sqrt{15} -3 -\sqrt{15}\\= -2\sqrt{15}[/tex]

Similarly, the solution of the various expression can be determined.
2.3c
3. √6
4. -5
5. 2a

Thus, the solution of the expression are given above

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The eligible amount of work-related daycare expenses will be $2600

Married filing jointly is a filing status for married couples, allowing them to file joint tax returns. When filing taxes under married filing jointly status, a married couple can record their respective incomes, deductions, credits, and exemptions on the same tax return.

Given here wages of the cliff are $16,228 and if the deb is  $2,600

now the mfj is 35% hence cliffs credit is 35% ×  $16,228 = $5679.8

and daycare yearly expenses are = $250×12

                                                        = $3000

but deb's income is $2600 and thus credit cannot exceed deb's wages therefore the revised credit would be $2600

Hence, the eligible amount of work-related daycare expenses will be  $2600

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Answer:

The statement that the mean attendance is higher than 523 does not have enough facts to stand up.

What is null hypothesis?

A null hypothesis is an educated guess or a prediction of the expected outcome of a particular experiment. It is a statement that assumes there is no difference between two groups or no association between two variables. The null hypothesis is often the opposite of the alternative hypothesis, which is the prediction that the researcher is hoping to prove.

Example 1: In a study of the effectiveness of a new drug for treating depression, the null hypothesis would be that the drug has no effect on depression levels.

Example 2: In a study of the association between smoking and lung cancer, the null hypothesis would be that there is no association between the two variables.

Example 3: In a study of the effect of a new educational program on student performance, the null hypothesis would be that the program has no effect on student performance.

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Answer:

x= 56/3

y= 14/3

Step-by-step explanation:

for process look at provided image

Answer/Step-by-step explanation:

Since the axes are labelled and there are nice points marked on the line, you can practically SEE the slope here without any calculating, just by counting. Start with a point and find the directions to the next point. To get from one point to the next, go UP2 and OVER3.

"UP2 and OVER3" is the slope 2/3.  Double check that you get a slope that is positive because the line is going up to the right, it should have positive slope.

If the teacher is insisting that you use the slope formula, then name two of the points, such as (0, 4) and (3, 6). First subtract the y's, 6 - 4 is 2, put that on top of a fraction. Then subtract the x's, 3 - 0 is 3, put that on the bottom of a fraction. You get 2/3 again. Doesn't matter what points you use, since they are all on the same line it will come out the same.

The possible equation of the parabola is f(x) = (x - 1)² - 5

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

Vertex = (1, -5)

Rewrite the vertex as follows

So, we have the following representation

(h, k) = (1, -5)

A quadratic function can be represented as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

Substitute the known values in the above equation, so, we have the following representation

f(x) = a(x - 1)² - 5

Set a = 1

f(x) = (x - 1)² - 5

Hence, the function is (d) f(x) = (x - 1)² - 5

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Answer:

-----------------------

We know supplementary angles sum to 180 deg:

And we are given:

Substitute the second equation into the first one and solve for m∠B:

Find m∠A:

Correct choice is C.

Answer:

Drink: $5

Candy : $3.75

Step-by-step explanation:

Let d = the cost of a drink

Let c = the cost of a candy

9d + 4c = 60

10d + 2c = 57.50 ⇒ Mult. by -2 ⇒ -20d -4c = -115  Add this to the first equation

-20d  - 4c = -115

9d + 4c = 60

-11d = -55  Divide both sides by -11

d = 5

A drink costs $5.00.

Plug in 5 for d in either of the two equations to solve for c

9d + 4c = 60

9(5) + 4x = 60

45 + 4c = 60  Subtract 45 from both sides

4c = 15  Divide both sides by 4

x = 3.75

A candy costs $3.75

Answer:

$40,601.92

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 1.5/100

r = 0.015 per year,

Then, solve the equation for P

P = I / ((1 + r/n)nt - 1)

P = 3150 / ((1 + 0.015/2)(2)(5) - 1)

P = 3150 / ((1 + 0.0075)(10) - 1)

P = $40,601.92

Summary:

The principal investment required to get a total interest of $3150 from compound interest at a rate of 1.5% per year compounded 2 times per year over 5 years is $40,601.92.

the number of members using the values in the animal field. then the value is 63

1. Application layer: this is the interface that connects a user to a network, the files or data are generated and seek from this layer. Protocols in this layer are FTP, TFTP, DNS, SMTP, SNMP etc.

2. Presentation layer: it is the sixth layer in the OSI model. It is used to present data in a well organized syntax and format to and application and also for document format encryption. Protocols in this layer are XDR, TLS, SSL and MIME.

3. Session layer: this layer is used to create and terminate sessions between the destination and source node, in a network. Protocols in this layer are PPTP, SAP, L2TP and NETBIOS.

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Answer:

25456

Step-by-step explanation:

Answer:

21 quarts of soup

Step-by-step explanation: I take . as a mutiply

This is easy you just need to take [tex]3 : \frac{1}{7} = \frac{3}{1} : \frac{1}{7} = \frac{3}{1} . \frac{7}{1} = \frac{3 . 7 }{1 . 1} = \frac{21}{1} = 21[/tex] quarts of soup

MGFs means moment generating function. Every distribution function has a unique mgf

Make X a random number. We say that X has a moment generating function, and the function

Mₓ(t) = E(e^tx)   is referred to as the moment generating function of X

However, not all random variables have a moment generating function. However, every random variable has a unique function—an additional transform with properties comparable to those of the mgf.

The second creating capability (mgf) is a capability frequently used to describe the circulation of an irregular variable.

The moment-generating function is extremely useful for the following reasons:

1. Moments can be easily calculated with it; At zero, its derivatives are equivalent to the random variable's moments;

2. The mgf of a probability distribution is what makes it unique.

The question is incomplete so, I've answered in general

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(ii) each person is asked for their top two choices, and the alternative that is chosen by the maximum number of people is selected

the best is always to look for points on the line that are exactly corner points of grid squares.

the true utilities of the four individuals for the five alternatives

(0.3, 0.4) and (0.6, 0.8)

so, the linear equation is

y = ax + b

0.4 = a×0.3 + b

0.8 = a×0.6 + b

let's subtract the second from the first equation :

-0.4 = a×-0.3 + 0

a = -0.4/-0.3 = 0.4/0.3 = 4/3

so, the equation is

y = (4/3)x

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Answer:

Step-by-step explanation:

the answer is y= -4x/3 + 13

1. Number  of generators of  Z*4969 = 1584

2. Probability of a randomly chosen element a Z*_969 being a generator      = [tex]\frac{1584}{4968}[/tex]

3. 1001 is the smallest generator

4. Number of generators

      ∅(n) = n [tex](1 - \frac{1}{p_{1} } )(1 - \frac{1}{p_{2} } ).........(1 - \frac{1}{p_{n} } )[/tex]

1. Every relative prime of 4968 offers a generation if a is the generation of Z.

4968 = 4 × 1242

         = 4 × 3 × 414

         = 4 × 3 × 2 ×207

         = 4 × 3 × 2× 3× 69

         = 4 × 3 × 2 × 3 × 3 ×23

         [tex]= 2^{3} * 3^{3} * 23[/tex]

Number of generators ∅ (4968) = 4968[tex](1 - \frac{1}{2} )(1 - \frac{1}{3} )(1 - \frac{1}{23} )[/tex]

Number  of generators of  Z*4969 = 1584

2. When a Z*4969 value is set, it becomes a generation and belongs to one of the 1584 elements.

The probability that a element is selected from Z*4968 becomes a generation is

=  favorable elememt / total element

= [tex]\frac{1584}{4968}[/tex]

= 0.3188

3. To find the smallest generator a Z*_969 with a > 1000.

      a > 1000

Every relative prime of 4968 gives a generation of Z*4969

G C D (1001   4968) = 1

Hence, 1001 is the smallest generator

4. Number of generators

      ∅(n) = n [tex](1 - \frac{1}{p_{1} } )(1 - \frac{1}{p_{2} } ).........(1 - \frac{1}{p_{n} } )[/tex]

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E(max(X, Y )) = PxPy max(x, y)p(x, y)

= max(0, 0)p(0, 0)+max(0, 5)p(0, 5)+· · ·+max(10, 10)p(10, 10)+max(10, 15)p(10, 15)

= 0 ∗ 0.02 + 5 ∗ 0.06 + · · · + 10 ∗ 0.14 + 15 ∗ 0.01 = 9.6.

fX(x) = R 10(2x + y − 2xy)dy = x +12, 0 ≤ x ≤ 1.

fY (y) = R 10

(2x + y − 2xy)dx = 1, 0 ≤ y ≤ 1.

Since f(x, y) 6= fX(x)fY (y), X and Y are not independent.

Column=A column is a recurring piece or article in a newspaper, magazine or other publication, where a writer expresses their own opinion in few columns allotted to them by the newspaper organisation. Columns are written by columnists.

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The conclusion is that there is no sufficient evidence at the 0.02 level of significance that the new technique lengthens the training time.

Given,

The mean time taken to receive advanced driving license, through traditional methods [tex]\mu = 90[/tex] hours

The researcher believes the new technique may lengthen the training time

Researcher conducts hypothesis test of  n = 190 students

The researcher fails to reject the null hypothesis at significance level, [tex]\alpha = 0.02[/tex]

Test hypothesis :-

[tex]H_0[/tex] :The mean time it takes for the new technique to receive an advanced driving license is 90 hours, i.e. [tex]\mu = 90[/tex].

[tex]H_a[/tex]: The mean time it takes for the new technique to receive an advanced driving license is greater than 90 hours, i.e. [tex]\mu > 90[/tex].

Failure to reject the null hypothesis means that our sample did not provide enough evidence to conclude that the effect exists. However, the lack of evidence does not prove that the effect does not exist.

As a result, the average time for the new technique to obtain an advanced driving licence is less than 90 hours.

Thus,, the researcher's belief that the new technique would lengthen training time was incorrect.

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