Does this set of ordered pairs represent a function? {(–2, 3), (–1, 3), (0, 2), (1, 4), (5, 5)} A. The relation is a function. Each input value is paired with more than one output value. B. The relation is a function. Each input value is paired with one output value. C. The relation is not a function. Each input value is paired with only one output value. D. The relation is not a function. Each input value is paired with more than one output value.

Answer:

-0.8, -0.2, 0.8, 1.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-4=0(x+8)

y-4=0

y=4

Answer:

i

Step-by-step explanation:

y-4=0(x+8)

y-4=0

y=4

Answer:

y=

[tex] - \frac{1}{4} x + 6[/tex]

Step-by-step explanation:

Standard form of equation of line: y=mx+c

where m = slope

c = y-intercept

Since we know that slope for all equations , we can find the one with the least steep graph.

To find which one is the least steep graph, we find the lowest value in the slope, m. (Ignoring the +/- sign)

In this case, y=

[tex] - \frac{1}{4} x + 6[/tex]

will give the least steep graph as it has the lowest slope value.

Answer:

123 soda and 87 hot dogs

Step-by-step explanation:

Let s = # soda and h = # hot dogs

s +  h = 210         s = h + 36  Substitute the h + 36 for s into the first equation

s + h = 210

(h + 36) + h = 210  

h + 36 + h = 210  Combine the h's

2h + 36 = 210  Subtract 36 from both sides

2h = 174  Divide both sides by 2

h = 87  This is the number of hot dogs.  Substitute this into either equation above to find the sodas.        

s + h = 210

s + 87 = 210

s = 123  

OR

s = h + 36

s = 87 + 36

s = 123

The type of bias which is most likely to be present in the survey results is undercoverage bias because adults with older children are more likely to be included in the sample.

This is a diligent inquiry or examination to seek or revise facts, principles, theories,or applications. It is used to make an extensive investigation or search for truth in an experiment.

Bias

In statistics, bias is the difference between the expectation of the sample estimator and the true population value, which reduces the representativeness of the estimator by systematically distorting it

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Answer: The guy wire  = 393.4 ft

Step-by-step explanation:

Given images:

Refer to the attachment below (I apologize for the bad writing on the computer)

Given information:

Height of the tower = 175 ft

Height of the wire = 15 ft from the top (Opposite)

Angle with the ground = 24°

Length of wire = Unknown (Hypotenuse)

Determine the trigonometric function:

The primary choice will be the Sine function because the angle is opposite to the height and the wire is the hypotenuse of the system.

Determine the equation:

sin θ = (Opposite) / (Hypotenuse)

sin (24°) = (175 - 15) / (Length)

Simplify value in parenthesis

sin (24°) = (160) / (Length)

Multiply the Length of wire on both sides

sin (24°) * (Length) = (160) / (Length) * (Length)

sin (24°) * (Length) = (160)

Divide sin (24°) on both sides

sin (24°) * (Length) / sin (24°) = (160) / sin (24°)

Length = 160 / sin (24°)

[tex]\Large\boxed{Length~=~393.4~ft}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer: 425

Step-by-step explanation:

Think of this problem as 4% of a number equals 17

since in math, the word 'of' usually means multiplication, we can think of it that way.

Also, 4% = 0.04

[tex]x*0.04=17[/tex]

[tex]0.04x=17[/tex]

[tex]\frac{0.04x}{0.04} =\frac{17}{0.04}[/tex]

[tex]x=425[/tex]

Answer:

7 weeks, £35, and £21.

Step-by-step explanation:

Every week, Suzie saves £5 and gets £3 from her Mum. Altogether, Suzie gets £8 every week. All we need to do is divide 56 by 8, which gives us 7. Suzie will take 7 weeks to collect enough money. To find out how much she has saved and been given by her mum individually, we need only times these values by 7. 5x7=35, and 3x7=21.

Using it's concept, the probabilities are given as follows:

a) C. 7/20.

b) D. 15/22.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For item a, we have that there are 60 students with no curfew, and of those, 21 have no chores, hence the probability is given by:

p = 21/60 = 7/20

Which means that option C is correct.

For item b, we have that there are 66 students with no shores, and of those, 45 have a curfew, hence the probability is given by:

p = 45/66 = 15/22

Which means that option D is correct.

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Answer:

16 liters of 70% alcohol

4 liters of 20% alcohol

Step-by-step explanation:

Let x = volume of 70% alcohol and y = volume of 20% alcohol. Since we need total of 20 liters, the first equation is x + y = 20. Next, calculate the amount of alcohol in the 20 liters of 60% alcohol. 60% is equivalent to 0.6, so there is 20*0.6 = 12 liters of alcohol in the 20 liter solution. Therefore the second equation is 0.7x + 0.2y = 12.

x + y = 20

0.7x + 0.2y = 12

2x + 2y = 40

7x + 2y = 120

-5x = -80

x = 16

16 + y = 20

y = 4

The slope of another line is changed to 20 degree to keep the segments parallel.

According to the statement

We have given that the If ac is parallel to bd and m <5 is decreased by 20 degrees And we have to find that the how must m <2 be changed to keep the lines parallel.

So, For this purpose,

We know that the Slope or gradient of a line is a number that describes both the direction and the steepness of the line.

And here

The slopes of two lines will only same when these lines are parallel.

In other words, Only parallel lines have a same slope.

So, if slope of one line is decreased by 20 degree then we have to kept these line parallel. Then we have to decrease the slope of other line by 30 degree also.

So, The slope of another line is changed to 20 degree to keep the segments parallel.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

If ac is parallel to bd and m <5 is decreased by 20 degrees how must m <2 be changed to keep the lines parallel?

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Answer:

There are 5 ways to find if two triangles are congruent.

SSS- {Side Side Side Congruence.}

This law of congruence states that if we have two triangles, each with the same measures on each 3 sides it deems the triangles congruent.

SAS- {Side Angle Side Congruence.}

This law of congruence states that if we have two triangles, with 2 equal sides and one angle which is common among them; the triangles are congruent.

ASA- {Angle Side Angle Congruence.}

This law of congruence states that if we have two triangles, with 2 congruent angle measures and 1 congruent side; the triangles are indeed congruent.

AAS- {Angle Angle Side Congruence.}

You may be wondering how this law of congruence differs from the previous one. ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.

HL- {Hypotenuse Leg Congruence.}

This law of congruence states that if we have two triangles, with a common (congruent) leg and hypotenuse; the triangles are congruent.

I really hoped this helped, if it didn't leave a comment I am always open to feedback. If it did let me know, brainiest is always appreciated!

Hope you have a great rest of your day.

Answer:

Step-by-step explanation:

for completeness, here is the answer again:

1 Given is correct

2 Definition of right angle is correct

3 should be sum of interior angles in a triangle

4 is substitution

5 subtracting 90degree from left and right hand side

6 is definition of complementary angles

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ a^{\frac{1}{5}}\implies \sqrt[5]{a^1}\implies \sqrt[5]{a}[/tex]

Parent function = √x

On stretching vertically by factor of 6

New function G(x) = 6√x

Based on the number of periods for the simple discount note to reach maturity and the discount rate, the proceeds are $7,598.74.

You can solve for the discounted price as:

= Maturity value x discount rate x number of periods

Solving gives:

= 7,700 x (6% / 365) x 80

= $101.26

The proceeds can then be found by subtracting the discounted price from the maturity price.

Solving for the proceeds gives:

= 7,700 - 101.26

= $7,598.74

Based on the simple discount note period, the maturity value, and the discount rate, the proceeds can be found to be $7,598.74.

In conclusion, the proceeds are $7,598.74.

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Answer:

76,42,92,50........

Step-by-step explanation:

Each number is series of product of the digit

11*4=44,

13*2=26,

15*4=60,

17*2=34,

19*4=76,

21*2=42,

23*4=92,

25*2=50,

27*4=108,...

May be this çould help you.

Answer:

26 units^2

Step-by-step explanation:

the area of a kite is (d1 * d2)/2

d1 = 2 + 2 = 4

d2 = 6 + 7 = 13

4 * 13 = 52

52 / 6 = 26

26 units^2 is your answer

Answer: 26

Step-by-step explanation:

Answer:

matrices can be added together if both have the same order

Addition is both commutative and associative

matrices can be multiplied together if the number of column in the right hand matrix equals the number of row in the left hand matrix

The length of the transverse axis is 8.

Given the equation of hyperbola:[tex]\frac{(y-2)^{2} }{16}[/tex][tex]-\frac{(x+1)^{2} }{144 }[/tex][tex]=1[/tex]

Rewrite this equation as [tex]\frac{(y-2)^{2} }{4^{2} }[/tex][tex]-\frac{(x+1)^{2} }{12^{2} }[/tex][tex]=1[/tex]

When comparing this equation to the common hyperbola equation with a vertical transverse axis is [tex]\frac{(y-k)^{2} }{a^{2} }[/tex][tex]-\frac{(x+h)^{2} }{b^{2} }[/tex][tex]=1[/tex]

[tex]h = -1[/tex]

[tex]k= -2[/tex]

[tex]a = 4[/tex]

[tex]b = 12[/tex]

The length of the transverse axis is[tex]2a = 2*4[/tex]

                                                               [tex]=8.[/tex]

The length of the transverse axis is 8.

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Answer:

true, it will always divide the opposite side in halff

Step-by-step explanation:

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

The statement " Any altitude of an equilateral triangle is also a median of the triangle " is true

because if we take altitude from any side of an equilateral triangle to its opposite side. it wil make 90° and by using congruency, the two newly formed truangles will be congruent to each other, hence by using the results of congruency, we can get the two pasrts of the side on which attitude was dropped to be equal.

[tex] \qquad \large \sf {Conclusion} : [/tex]

Yes ! Altitude of an equilateral angle triangle from any side is also a median.

The area of the small poster is 160 inches square

From the information given, we have the poster to take the form of a rectangle

The formula for area of a rectangle is;

Area = length × width

For the smaller poster created using a scale of factor 2/3

Length = 2/ 3 × 24

Length = 16 inches

Width = 2/ 3 × 15

Width = 10 inches

Substitute into the formula

Area = 16 × 10

Area = 160 inches square

Thus, the area of the small poster is 160 inches square

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Answer: (5,3)

Step-by-step explanation:

Substituting into point-slope form, the equation of the line is

[tex]y-5=-2(x-4)[/tex]

Which rearranges as follows:

[tex]y-5=-2x+8\\\\y=-2x+13[/tex]

To determine if a point lies on a line, you can see if its coordinates satisfy the equation.

Of all the options, only (5,3) works.

The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.

Given that BD is diameter of the circle and angle BAC is 100°.

We are required to find the central angle, major arc, minor arc, m BEC, BC.

Angle is basically finding out the intensity of inclination of something on the surface.

In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.

Major arc of a circle is that arc whose length is larger than all other arcs in the circle.

In our circle the major arc is arc BED.

Minor arc of a circle is that arc whose length is smaller.

In our circle the minor arc is arc ADC.

We know that arc's length is 2πr(Θ/360)

In this way BC=2π*(BD/2)*100/360

=(5π*BD)/18

We cannot find angle BEC.

Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.

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Answer:

Domain: All Real Numbers

Range: All Real Numbers

Step-by-step explanation:

So the domain of a function can be defined as an interval of x-values, which you can input into the function and get real numbers as an output. Since we have a cube root here, or more specifically an odd nth root, the domain is all real numbers, since cbrt(negative number) will just be a negative number since (negative number * negative number * negative number) = negative number, so there does exist a solution, unlike even nth roots like square root, which is restricted to only positive values inside the radical, otherwise you get non-real solutions.

Now let's look at the range of the function, which can be defined as an interval of y-values which can possibly be outputted by the function.

Since as mentioned before, the cube root isn't limited to a certain interval, and rather all real numbers, the range is also similar, since whenever you have a negative number in the radical, the output will be a negative number, so the range is all real numbers

The answer is A.

As any number can be inputted in place of x and the result, y, will be directly proportional to the inputting value, the domain and range of the function is All Real Numbers.

Answer: 65.86 inches

Step-by-step explanation:

Length of the hypotenuse (length of diagonal) :  a^2 + b^2 = c^2

The length (a)= 57

The height (b) =33

57^2= 3,249

33^3= 1,089

3,249 + 1,089 = c^2

4,338 = c^2

We next square root both sides to find c by itself (length of the diagonal)

[tex]\sqrt{4,338} = c[/tex]

c= 65.8634952...

You can then round to however many decimals are required.

To the hundreds place: 65.86 inches

The two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

As a general rule, it should be noted that positive numbers are numbers that have their value greater than 0

So, we start by representing the two positive numbers with x and y.

So, we have the following equations

x - y = 9

xy = 2950

Make x the subject in the first equation x - y = 9

x = y + 9

Substitute y + 9 for x in the second equation

(y + 9) * y = 2950

Expand the equation

y^2 + 9y - 2950 = 0

Using a graphing tool, we  have the solution of the above equation to be

y = 50

Recall that:

x = 9 + y

So, we have:

x = 9 + 50

Evaluate

x = 59

Hence, the two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

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Answer:

11

Step-by-step explanation:

Answer:

For example, 8f + 4g is one of the most used expression

Another example is 4 (2f + g), is correct too