Would the image be categorized as a function or as a relation? Use at least one sentence to explain your answer.

Answer:

16.4

Step-by-step explanation:

The time is irrelevant to the problem

fraction42 *20.5= 16.4

Hope this helps

The corn's height when the fertilizer was applied is 13 centimeters and it grows at a rate of 13 centimeters each day.

The equation that is given is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.

A linear equation increases or decreases at a constant rate. When a linear equation is drawn on a graph, it is a straight line that curves either upward or downward.

A linear equation usually has this form y = mx + b

Where:

H = 13 + 13t

Where:

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Using logical reasoning, we can conclude that the costumes of 6 friends are:

So, We know:

So, the conclusions can be:

Therefore, using logical reasoning, we can conclude the costumes of 6 friends are:

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It's important to know that reciprocals are the multiplicative inverse of a numbers, for example, the reciprocal of 7 is 1/7.

As you can observe, using reciprocals would help to solve equations when we have to get rid off a factor. For example, if we have the equations 4x = 8, we would use the reciprocal of 4 to isolate the variable x: (4x)/4 = 8/4 then x = 2.

This situation can be expressed by the equation [tex]x-\frac{x}{2} +8=18[/tex], her weekly allowance is $20.

What is an equation?

Let the weekly allowance of anna be = X

Allowance spent on movies= X/2

The extra money from the car wash = 8

Allowance retained with anna = 18

This situation can be expressed by the equation,

[tex]x-\frac{x}{2} +8=18[/tex]

Solving the above equation, we get,

[tex]\frac{x+16}{2} =18[/tex]

x+16=36

x=20

Therefore, her weekly allowance is $20.

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Graph f(x)=14.

Plot each graph on the same coordinate system.

f(x)=14x

image of graph

The probability of selecting two students has 10 ways

Total number of students = 5

Only two students can be selected for the conference who are equally qualified.

The probability that the first two students selected alphabetically is derived from the combinations.

Therefore, the final probability for selecting the students randomly is,

x = ⁵C₂

x = [tex]\frac{5!}{2!*(5 - 2)!}[/tex]

x = 10

Hence, the probability of selecting two students has 10 ways.

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Considering the definition of perpendicular line, the equation of a line perpendicular to 8x−5y=−9 that passes through the point ​(−8​,3​) is y=-5/8x-2 .

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 8x-5y= -9. Expressed in the form y = mx + b, you get:

-5y= -9 - 8x

y= (-8x -9)÷ (-5)

y= 8/5x +9/5

The line has a slope of 8/5. If you multiply the slopes of two perpendicular lines, you get –1. In this case:

8/5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (8/5)

slope perpendicular line= -5/8

So, the perpendicular line has a form of: y= -5/8x + b

The line passes through the point (-8, 3). Replacing in the expression for perpendicular line, you get:

3= -5/8× (-8) + b

3= 5 + b

3- 5 = b

-2= b

Finally, the equation of the perpendicular line is y= -5/8x -2 .

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The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

Let $x be the cost of 1 pound of salmon.

The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.

Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.

Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.

She pays a total of $31.25, then we get an equation,

2.5x + 1.25(x - 0.20) = 31.25

We solve above equation for x.

2.5x + 1.25x - 0.25 = 31.25

3.75x = 31.50

x = 8.4

So, the cost of 1 pound of salmon is $8.40 and 1 pound of swordfish is $8.20

and combined cost = $8.40 + $8.20

Therefore, the combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

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The entrance fees is 13 dollars charges by the paintball court.

Let us assume that the entrance fees is $X and the actual cost of using one ball is $Y charged by the paintball court.

According to one situation,

Total cost of using to ball = Cost of entry fees + actual cost of using two ball.

So, we can write,

X + 2Y = 18

Let us say that this is our equation 1,

Also, it is provided,

Total cost of using 4 balls = cost of entry fees + actual cost of using four balls.

X + 4Y = 23

Let us say that this is our equation 2,

Both of our equations are linear equations with two variables,

Now, substracting equation 1 from equation 2,

X + 4Y -(X + 2Y) = 23 - 18

2Y = 5

Y = $2.5.

Putting the value of Y = 2.5 in equation 1,

X + 2(2.5) = 18

X = 18 - 5

X = $13.

So, the entry fees is 13 dollars.

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The required value of x is -3.6 which is determined by the substitute that equals the vertical angles.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

Since ∠A and ∠B are vertical angles then they are congruent, thus

⇒ (x - 29) = (6x - 11)

Subtract 6x from both sides of the above equation,

⇒ x - 29 - 6x = 6x - 11 -6x

⇒ -5x - 29 = - 11

Add 29 to both sides of the equation,

⇒ -5x - 29 + 29 = - 11 + 29

⇒ -5x = 18

Divided by 5 to both sides of the equation,

⇒ x = - 18/5

⇒ x = - 3.6

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Answer:

I would say its 4, the eighth to tenth hour.

The range of the function is -1 ≤ y ≤ 2

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The ordered pair is given as

{(−4,2), (−2,1), (0,0), (2,−1)}

Rewrite as

(x, y) = {(−4,2), (−2,1), (0,0), (2,−1)}

Remove the y values

So, we have

y = {2, 1, 0,−1}

Express as an inequality

-1 ≤ y ≤ 2

Hence, the range is -1 ≤ y ≤ 2

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Total cost of bratwursts + Total cost of hamburgers ≤ 150

that is 1.3x + 1.2y ≤ 150

Given,

The total number of guests = 35

Minimum number of bratwursts or hamburgers each one need = 3

The cost of bratwursts = $1.3 each

The cost of hamburgers = $1.2 each

Total budget = $150

We can take number of bratwursts as x and number of hamburgers as y.

Lets check.

Each guest need at least three food items = 35 × 3 = 105

That is, you need more than 105 food items.

So,

x + y ≥ 105

Lets see,

Total cost for bratwursts = 1.3x

Total cost for hamburgers = 1.2y

Now, your total budget is $150. So, the cost of food items must be less than or equal to 150.

That is,

Total cost of bratwursts + Total cost of hamburgers ≤ 150

1.3x + 1.2y ≤ 150

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Answer:

0

Step-by-step explanation:

2-2=0

Megan spent 2 1/12 hours dancing both yesterday and today

Megan is involved in a musical production

Yesterday, she practiced for 2 3/4 hours

Today she practiced for 3 1/2 hours

The first step is to calculate the total number of hours she spent at the practice

2 3/4 + 3 1/2

= 11/4 + 7/2

The LCM between both fractions is 4

11/4 + 7/2

11 + 14/4

= 25/4

Megan spent 25/4 hours yesterday and today practicing

Out of this 25/4 hours, she spent 1/3 hours dancing

Therefore the hours she spent dancing can be calculated as follows

= 25/4 × 1/3

= 25/12

= 2 1/12

Hence Megan spent 2 1/12 hours dancing yesterday and today

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Answer:

i don't know if this is fully correct but I believe that the answer is both because both elements are used it this piece of art. one the art is in color. two it uses both horizontal and vertical lines.

Hello!

First, let's analyze these two quadrilaterals:

• Notice that the quadrilateral AB'C'D is ,smaller ,than the quadrilateral ABCD.

Let's try to solve it using the lines AB and AB':

• The measurement of the ,line AB is 14 units,.

• The measurement of the ,line AB' is 7 units,.

Knowing it, let's write the scale factor as:

Answer: alternative D.

Rewriting the words mathematically:

Next we will write in standard decimal form:

Answer:

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

Please note that alternative forms of this equation (vertex and standard) are in the explanation.

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

[tex]\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]

Given:

Therefore:

Calculate p:

[tex]\implies -2+p=-1[/tex]

[tex]\implies p=-1+2[/tex]

[tex]\implies p=1[/tex]

Substitute the values of h, k and p into the formula to create an equation of the parabola with the given parameters:

[tex]\implies (x-5)^2=4(1)(y-(-2))[/tex]

[tex]\implies (x-5)^2=4(y+2)[/tex]

In vertex form:

[tex]\implies y=\dfrac{1}{4}(x-5)^2-2[/tex]

In ax² + bx + c form:

[tex]\implies y=\dfrac{1}{4}x^2-\dfrac{5}{2}x+\dfrac{17}{4}[/tex]

All pairs of parallel segments are given below.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees. Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

Given,

a) Line segment = AC and FD

Parallel = AC ║FD

b) Line segment = AE and BD

Parallel = AE ║BD

c) Line segment = EC and FB

Parallel = EC ║FB

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Answer: 43.47517

Step-by-step explanation:

Considering orders of magnitude, we see that Option 2 is the only reasonable answer.

Using it's concepts, the average speed and the average velocity are given as follows:

The average speed is given by the quotient between the total distance traveled and the time taken, that is:

Average speed = total distance/time

In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:

Average speed = 60/1.5 = 40 miles per hour.

The average velocity is given by the quotient between the displacement and the time taken, that is:

Average velocity = displacement/time

The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.

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1st step. Calculate the area of the parallelogram

We can use the following formula:

where,

base, b = 9 km

height, h = 5 km

Therefore,

The area of the parallelogram is 45 km^2

2nd step. Calculate the area of the triangle

Let's use this formula:

where,

base, b = 6 km

height, h = 3 km

Therefore,

The area of the triangle is 9 km^2

3rd step. calculates the ratio of the area of the parallelogram to the area of the triangle

Answer: the area of the parallelogram is 5 times greater than the area of the triangle.

Samuel's order will ultimately cost $39.84.

One DVD Samuel purchased cost $9.96.

He purchased four DVDs in total.

as a result, his total outlay will be 4 * 9.96 = $39.84.

The 7.75% sales tax that must be paid is disclosed to us.

Adding 7.75% to $39.84 yields

39.84 x 7.75/(100) (100)

= $3.0876

Consequently, the total amount of tax due is $3.0876.

Using 25% of 39.84 to calculate a 25% discount,

39.84 x 25/100

= 996/100

=$9.96

Consequently, the total discount on the total of $39.84 will be $9.96.

as a result, the updated purchase price will be,

39.84-9.96

=$29.88

adding the tax to the updated price,

9.96+29.88

= $39.84

Consequently, Samuel's order will ultimately cost $39.84.

One must compute percentage in order to determine the proportion of a whole that is stated in terms of 100. A percentage can be determined using one of two methods:

using the unitary method.

by changing the fraction's denominator to 100.

It should be noted that the second method of percentage computation is not used when the denominator is not a factor of 100. In these circumstances, we make use of the unitary approach.

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Answer:

Answer down below!

Step-by-step explanation:

The correct answers are as follows:

Answer: 2nd, 3rd, 5th

Step-by-step explanation:

Solve the problem

1/2*1/2*1/2 = 1/1/8

1 * 8/1

8

Check each answer

1) -(1/2)^3

-(1/2*1/2*1/2)

-(1/8)

-1/8

No

2) 2^3

2 * 2 * 2

8

Yes

3) 1/1/2^3

[tex]\frac{1}{\frac{1}{2} *\frac{1}{2} *\frac{1}{2} }\\ \frac{1}{\frac{1}{8} }\\1 * \frac{8}{1} \\8[/tex]

Note: Flip fraction when dividing a fraction.

Yes

4) 1/8

1/8

No

5) 8

8

Yes

Answer: 18: 18, 36, 54, 72, 90
20: 20, 40, 60, 80, 100
16: 16, 32, 48, 64, 80

32: 32, 64, 96, 128, 160

Step-by-step explanation:

multiply each number by 1 2 3 4 5 respectivly to get the answer.