What constitutes a function

Answers

Answer 1

Answer:

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...


Related Questions

The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements.
f(4) is
f(x) = 4 when x is
و بہادن دا
8
2
3
11
3
4
1
2

Answers

Answer:

f(4) is 1/2

f(x)= 4 when x is 8

First Box 1/2  -   Second Box 8ماذا تقصد بذلك؟

Josh weighed cantaloupes he picked from his garden. This line plot shows the cantaloupe weights. What is the total weight of all the cantaloupes that weigh no more than 2 pounds? 712 lb 10 lb 15 lb 20 lb

Answers

Answer:

Step-by-step explanation:

From the plot line you have (1x3) + (2x 1 1/4) + (3x 1 1/2) = 10

The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.

Calculation of the total weight:

Since Josh weighed cantaloupes he picked from his garden.

So here the total weight should be like

[tex]= (1\times 3) + (2\times 1\ 1\div 4) + (3\times 1\ 1\div 2)[/tex]

= 10

hence, The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.

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Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?

Answers

Answer: B.Construct a circle of any arbitrary radius.

Step-by-step explanation:

had to complete the question first.

A.Connect every arc along the circle.

B.Construct a circle of any arbitrary radius.

C.Set the compass width to greater than half the diameter of the circle.

D. Set the compass width to the radius of the circle.

Explanation:

when constructing an inscribed square and an inscribed equilateral triangle, the most important step and which turns out to be same for both procedures is the constructio of of a circle of an arbitrary radius. Because it’s is within this circle both the triangle and square would be drawn. Just their method of construction are different.

*ANSWER ASAP PLEASE* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14 for pie)

Answers

Answer:

1177.58 cm³

Step-by-step explanation:

The volume of a sphere is given by V = (4/3)πr³. In this case, if the width (diameter) of the cup is 16.51cm, then the radius is 8.255 cm. So the volume of the cup, if it were a sphere, would be:

V = (4/3) * 3.14 * (8.255)³ ≈ 2355.1557 cm³

But since this is a hemisphere (i.e., half a sphere), we cut that value in half to get the volume of the cup:

2355.1557 / 2 ≈ 1177.58 cm³

2
)
The
population
of
a
town
was
568.
During
that
year
236
persons
migrated
to
it
.
What
is
the
present
population
of
the
Su
town?​

Answers

Answer:

[tex]\huge \boxed{\mathrm{804}}[/tex]

Step-by-step explanation:

[tex]\sf The \ initial \ population \ of \ the \ town \ was \ 568.[/tex]

[tex]\sf 236 \ migrated \ to \ the \ town.[/tex]

[tex]568+236[/tex]

[tex]=804[/tex]

[tex]\sf The \ present \ population \ of \ the \ town \ is \ 804.[/tex]

Answer:

[tex]\huge\boxed{ 804}[/tex]

Step-by-step explanation:

Prior Population = 568

Added People = 236

Current Population = 568 + 236

=> 804

Scouts of D.P.S Sharjah made to run around a regular hexagonal ground fig 9, of perimeter 270 m .If they started running from point X and covered two fifth (2/5th) of the total distance.Which side of the ground will they reach?

Answers

Answer:

Side 3 or side 4

Step-by-step explanation:

The ground has 6 sides

Each side is:

270 m / 6 = 45 m

It is assumed that total distance is one cycle of 270 m.

Since no diagram attached, the start point X is the beginning of side 1.

Then the distance covered is:

270 m * 2/5 = 108 m

As

2*45 m = 90 m < 108 m < 3*45 m = 135 m

the scouts reached the side 3 or side 4 of the ground depending on direction of movement (clockwise vs anti-clockwise)

ASAPPPPP -2.0 * (-3.6)

Answers

Answer:

the answer is 7.2

Step-by-step explanation:

Answer:

7.2 or [tex]\frac{36}{5}[/tex]

Step-by-step explanation:

-2.0 * (-3.6) = [tex]\frac{36}{5}[/tex]

[tex]\frac{36}{5}[/tex] = 7.2

it becomes positive becomes two negative numbers are involved

Is the equation (3x^2+2)=9x+4 always, sometimes, or never true? Explain.

Answers

always true

Step-by-step explanation:

Assuming that you mean by true that it has solutions

we have

[tex]3x^2-9x-2=0[/tex]

to know if it has real solutions we need to know if

[tex]b^2-4ac[/tex]

is greater, equal or less than zero

if it's greater it's always

if it's equal it's sometimes

if it's less it's never

so

b=-9

a=3

c=-2

[tex](-9)^2-4(3)(-2)\\\\=81+24\\\\=105[/tex]

so it's always

The equation  (3x² +2) = 9x + 4 is sometimes true.

What is an equation ?

An equation is an mathematical expression stating that left hand side and the right hand side are equal.

The equation (3x² +2) = 9x + 4 is only true for the roots of the formed equation

3x² + 2 = 9x + 4

3x² = 9x + 2

3x² - 9x -2 = 0

x = (3 + [tex]\sqrt{105}[/tex])/2 OR (3 - [tex]\sqrt{105}[/tex])/2

Only for these values of x the equation 3x² + 2 = 9x + 4 are true except these two values it is never true.

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A box contains 84 chocolates, of which 63 are dark chocolate. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?

Answers

Answer:

21:84

Step-by-step explanation:

You subtract 63 from 84 and get 21. It then asks to compare it to the total number which it said was 84. It could be represented in a few ways:

21:84

21/84 (fraction)

Answer:

no.of milk chocolates:no. of total chocolate

1 : 4

Step-by-step explanation:

firstly we can take ratio as 21:84 Then, we can simplidy it dividing by 4 as following way,

21 : 84

4 4

then we can get 1 : 4 as the answer.

Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200

Answers

Answer:

x = 3.1

Step-by-step explanation:

[tex] {10}^{x} = 1200[/tex]

To solve first take logarithm to both sides

That's

[tex] log_{10}(10) ^{x} = log_{10}(1200) [/tex][tex] log_{10}(10)^{x} = x log_{10}(10) [/tex]

But

[tex] log_{10}(10) = 1[/tex]

So we have

[tex]x = log_{10}(1200) [/tex]

Write 1200 as a number with the factor 100

That's

1200 = 100 × 12

So we have

[tex]x = log_{10}(100 \times 12) [/tex]

Using the rules of logarithms

That's

[tex] log_{a}(x \times y) = log_{a}(x) + log_{a}(y) [/tex]

Rewrite the expression

That's

[tex]x = log_{10}(100) + log_{10}(12) [/tex][tex]x = log_{10}(10)^{2} + log_{10}(12) [/tex][tex]x = 2 log_{10}(10) + log_{10}(12) [/tex][tex] log_{10}(10) = 1[/tex][tex]x = 2 + log_{10}(12) [/tex]

x = 3.079

So we have the final answer as

x = 3.1 to one decimal place

Hope this helps you

A. Write an expression to represent the difference between the two points shown on the number line. B. Find the distance between the two points. [Hint: Remember that distance is always positive.]

Answers

Answer:

Step-by-step explanation:

A:  The distance is the sum of |-1.6| and 0.3:  |-1.6| + 0.3

B.  This distance is 1.6 + 0.3 = 0.9

The manager of a factory collected data in order to analyze the relationship between the number of hours of training a worker receives and
the worker's error rate. The line of best fit for the collected data is y=01 -0.005r where x is the number of hours of training a worker
receives and y is the error rate.
What approximate error rate should the manager expect for a worker who receives 6 hours of training

Answers

Answer:

The approximate error rate the manager should expect for a worker who receives 6 hours of training is 0.07 error rate

Step-by-step explanation:

The given relation between the number of hours of training a worker receives, x and the worker's error rate y can be presented follows;

y = 0.1 - 0.005·r

Therefore, the approximate error rate the manager should expect for a worker who receives 6 hours of training can be given as follows;

When x = 6 hours, we have

y  = 0.1 - 0.005 × 6 = 0.07

The approximate error rate the manager should expect for a worker who receives 6 hours of training is 0.07.

Which is an error rate o 7%

Evaluate (-3) to the power of 4

Answers

Answer:

-81

Step-by-step explanation:

Write it out, so it's more clear: [tex]-3^{4}[/tex]  Because the base number of the equation (-3) is a negative, we know the answer will be a negativeMultiply -3 by itself 4 times: -3 × 3 × 3 × 3 -3 × 3 × 3 × 3 = -81

Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of the square.

Answers

Answer:

side: 4 metres

perimeter: 16 metres

Step-by-step explanation:

Let's first find the area of this rectangle.

The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:

A = lw

A = 6.4 * 2.5 = 16 metres squared

We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:

x² = 16

x = √16 = 4

Thus, the side length is 4 metres.

The perimeter of a square is denoted by P = 4s, where s is the side length.

Here the side length is 4 metres, as we found, so:

P = 4s = 4 * 4 = 16

Hence the perimeter is 16 metres.

An overseas telephone company charges $4 for the first minute of talking and then $0.25 for each additional minute. If a woman spent $13.75 talking on the phone, how many minutes did she talk for?

Answers

Answer:

39 minutes

Step-by-step explanation:

In this problem we can see that there is a constant/flat rate charge of $4 on every first minute

we can model the cost for calls as

[tex]y= 4+0.25x------1[/tex]

where x is the number of extra minutes spent

given that y = $13.75

We can simply substitute our given values into the equation 1 above and solve for x

[tex]13.75= 4+0.25x\\\\13.75-4= 0.25x\\\\9.75=0.25x[/tex]

Divide both sides by 0.25 to find x

[tex]x= 9.75/0.25\\\\x=39[/tex]

Write an expression for: half of w
2-w
2w
W/2
2/w

Answers

Answer:

w/2

Step-by-step explanation:

Calculating half of something is the same as dividing it by 2. In this case, the "something" is w so the answer is w/2.

8 = 3а – 4
How do I solve this problem

Answers

So First move terms 8=3a-4
Next you calculate -3a=-4-8 then
Next you will Divide both sides by -3
-3a=-12 then your answer would get a=4

[PLEASE ANSWER FAST] A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?

Answers

Answer:

525

Step-by-step explanation:

Since the submarine is 150 (you didn't specify the units) below sea level, we can express its position as -150. Therefore, 375 - (-150) = 375 + 150 = 525.

Eileen is trying to test if the function f(x) = x2 + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)2 + 2(–x) + 5 = x2 – 2x + 5 What conclusion can she reach? f(x) is even f(x) is odd f(x) is neither f(x) is both even and odd

Answers

Answer:

f(x) is neither

Step-by-step explanation:

The given function is neither even nor odd. The correct option is B.

What are odd and even functions?

When the value of the function is negative after putting the value of the variable negative in the function then the function is odd and if the value of the function is positive after putting the negative value of the variable then the function is even.

Given that Eileen is trying to test if the function f(x) = x² + 2x + 5 is even, odd or neither. She produces the following work: f(– x) = (–x)² + 2(–x) + 5 = x² – 2x + 5.

The function will be solved as below:-

f(x)     = x² + 2x + 5

f(– x) = (–x)² + 2(–x) + 5

f(-x)   = x² – 2x + 5.

Here the resultant function is not giving any clear information the given function is neither even nor odd. The correct option is B.

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Give the coordinates of a point on the line whose equation in point-slope form is y − (−3) = 1 4 (x − 9).

Answers

Answer:

Below

Step-by-step explanation:

● y -(-3) = (1/4) (x-9)

Replace 1/4 by 0.25 to make it easier

● y + 3 = 0.25(x-9)

● y + 3 = 0.25x - 2.25

Add 3 to both sides

● y +3-3 = 0.25x -2.25-3

● y = 0.25x -5.25

To the coordinates of a point from this line replace x by a value.

The easiest one is 0.

● y = 0.25×0 -5.25

● y = 5.25

5.25 is 21/4

So the coordinates are (0, 21/4)

The coordinate of a point on the line whose equation in point-slope form is y − (−3) = 1/4 (x − 9) is (9, -3)

The equation of a line in point-slope form is expressed as;

[tex](y-y_0)=m(x-x_0)[/tex] where:

m is the slope

[tex](x_0, y_0)[/tex] is the point on the line.

Given the equation in the point-slope form expressed as

[tex]y - (-3) = 1/4 (x - 9)[/tex]

Comparing the general equation with the given equation:

[tex]y_0 = -3\\x_0 = 9[/tex]

Hence the coordinate of a point on the line whose equation in point-slope form is y − (−3) = 1/4 (x − 9) is (9, -3)

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Which value goes in the empty cell?

Answers

Answer:

[See Below]

Step-by-step explanation:

If you replace the x with -1 and evaluate the function you get -5.

-5 because 5x means you are multiply 5 by whatever is in the x column. If you multiply 5 and -1, you will get -5 because multiplying a positive and a negative gives you a negative answer.

Enter what that means?
Help someone.

Answers

[tex]\frac{x^2}{3}[/tex] is the same as [tex]\frac{1}{3}x^2[/tex]

Dividing by 3 is the same as multiplying by the fraction 1/3

-4 + (-1) on a number line

Answers

Answer:

-5

Step-by-step explanation:

+-=-

-4-1=-5

What is the difference written in scientific notation?

Answers

Answer:

Step-by-step explanation:Cuando un número se escribe en notación científica, el exponente te dice si el término es un número muy grande o muy pequeño. Un exponente positivo indica un número grande y un exponente negativo indica un número muy pequeño que está entre 0 y 1.

Answer:

Below

Step-by-step explanation:

● 1.3×10^6 - 6.8 × 10^5

● 13 × 10^5 - 6.8 × 10^5

● 10^5 (13 -6.8)

● 6.2 × 10^5

Which of the following expressions has three factors?
5(p+6)(q-4)
2(7-b)
(d-3)(c+9)
x+y-4

Answers

Answer:

5(p + 6)(q - 4)

Step-by-step explanation:

Factors are a set of numbers, alphabets or both that when multiplied would give a certain expression.

The expression with three factors is:  5(p + 6)(q - 4)

So that;

5(p + 6)(q - 4) = (5p + 30)(q - 4)

Then,

(5p + 30)(q - 4) = 5pq - 20p + 30q - 120

Therefore, the factorization of 5pq - 20p + 30q - 120 gives the factors; 5(p + 6)(q - 4).

Answer:

5 (p+6) (q−4)

'

CHAIRS A local furniture store sells two versions of the same chair: one for adults, and one for children. Find the value of x such that the chairs are similar.
Adult chair= 18,16
Kid Chair x,12

Answers

Answer:

Idek

Step-by-step explanation:

Ya I just need points

Answer:

13.5

Step-by-step explanation:

Use fractions to help. 12/16 = x/18.

12/16 simplifies to 3/4, so now divide 18 by 4 and multiply by 3.

18 / 4 = 4.5

4.5 x 3 = 13.5

In a mixture of 60 litres, the ratio of milk to water is 2:1. If this ratio is to be 1:2,then find the quantity of water to be further added.

Answers

Answer:

Quantity of milk = 60 x 2/3 litres = 40 litres.

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

Then, milk : water = 40 /20 + x

Now, 40 /20 + x = 1/2

20 + x = 80

x = 60.

Quantity of water to be added = 60 litres.

Hi... can anyone pls help

Answers

Answer: A globe shows all the countries with landmass and water bodies but a map shows only a specific country with its size shape and features  .

Step-by-step explanation:

Two students were asked to use estimation strategies to find a reasonable solution to this question: Heather has four envelopes with money in them. The first has $246, the second has $405, the third has $105, and the fourth has $514. Estimate the total amount of money in the four envelopes. From the choices below, select the student with the more reasonable solution.

Answers

Answer:

417 $

b h h h h h h h h h h h h

A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second. About how many molecules does the river discharge every​ minute? Write your answer in scientific notation.

Answers

Answer: 4.623 * 10^34 molecules

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

Work Shown:

1 second = 2.3 * 10^7 liters of water

60*1 second = 60*2.3* 10^7 liters of water

60 seconds = 138 * 10^7 liters of water

1 minute = (1.38 * 10^2) * 10^7 liters of water

1 minute = 1.38 * (10^2*10^7) liters of water

1 minute = 1.38 * 10^(2+7) liters of water

1 minute = 1.38 * 10^9 liters of water

The river discharges 1.38 * 10^9 liters of water per minute.

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

1 liter = 3.35 * 10^25 molecules

1.38 * 10^9*1 liter = 1.38 * 10^9*3.35 * 10^25 molecules

1.38 * 10^9 liters = (1.38*3.35) * (10^9*10^25) molecules

1.38 * 10^9 liters = 4.623 * 10^(9+25) molecules

1.38 * 10^9 liters = 4.623 * 10^34 molecules

1 minute = 4.623 * 10^34 molecules

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

Every minute, about 4.623 * 10^34 molecules of water are discharged from the river.

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