Here are the examples of functions in real life.
1. ATM
If you want to withdraw money from your account, the amount of money dispensed by the machine is the amount you request{input}.As a result, the amount requested is a function of the amount distributed{output}. The machine will never give you more or less than what you asked for.
2.Places you can drive with Two Gallons of Fuel
If you still have two gallons of gas in your car's tank, you can visit several locations before running out of gas. As a result, there could be several answers to this question. In this case, the input is two gallons of fuel, and the output is a list of places you can visit with that amount of fuel.
3. Number of Sodas in a Vending Machine
The number of sodas you get from a vending machine is determined by the amount of money you put into it. If you put the same amount in twice and choose the same soda, you will get the same number of cans as you did the first time. In this case, the number is determined by the amount fed into the machine.
Learn more about functions here:
https://brainly.com/question/12431044
#SPJ9
2. Polygon EFGH is a scaled copy of Polygon ABCD.
Name the segment in the scaled copy that
corresponds to segment AB.
1A
The name of the segment in the scaled copy that corresponds to segment AB is segment EF
How to name the segment in the scaled copy that corresponds to segment AB?The given parameters are:
Polygon EFGH is a scaled copy of Polygon ABCD.
This means that the corresponding points are
E = A
F = B
G = C
H = D
Remove points C and D
So, we have
E = A
F = B
Hence, the name of the segment in the scaled copy that corresponds to segment AB is segment EF
Read more about dilation at:
https://brainly.com/question/22110194
#SPJ1
A scientist has 20 grams of the radioactive isotope sodium-24. The isotope decays exponentially as shown in the table.
Time (hours)
Mass (grams)
5
15.9
10
12.6
15
10
20
7.9
25
6.3
30
5
Approximately what will the mass of the isotope be after 45 hours?
A 1.5 grams
B. 2.5 grams
C. 3.5 grams
D. 4.5 grams
The mass of the isotope after 45 hours is 2.5 grams.
Given, from the table we can find that when time is 10 hours,
the mass is 12.6 grams;
when time is 25 hours the mass is 6.3 grams .
And 12.6 × 1/2 = 6.3
Also we can find when time is 15 hours the mass is 10 grams,
when time is 30 hours, the mass is 5 grams as:
10 × 1/2 = 5
so we know that half life period is:
25 - 10 = 30 - 15 = 15 hours.
When time is 45 hours,
45 = 15+115
= 3 half life periods, so the mass is :
20 × 1/2 × 1/2 × 1/2
= 2.5 grams.
Hence the mass of the isotope after 45 hours is 2.5 grams.
Learn more about Mass problems here:
brainly.com/question/4208016
#SPJ9
The temperature in a town is 12.5°F during the day and -23.3°F at night. Find the difference in the temperatures.
Answer:
Explanation
temperature in a town during day=12.5The temperature in a town is 12.5°F
temperature at night is -23.3°F
difference -23.3°F+12.5°F
=. -10.8
X - 2(X + 10) = 12
What is this??!?!!?
Answer:
-32
Step-by-step explanation:
Pal, it's M A T H
Answer:
-32
Step-by-step explanation:
x-2x-20=12
-x=32
x=-32
.....................
Two shops rent kayaks for a rental fee plus a fee per hour. How many hours must a kayak be rented for the total costs to be the same? Shop A Rental fee: $8 Hourly fee: $3 Shop B Rental fee: $3 Hourly fee: $4 The total costs are the same when a kayak is rented for hours.
The total costs are the same when a kayak is rented for 5 hours
How do we determine the hours that both have the same costs?
The hours that both shops have the same cost is determined by equating the total cost in shop A to the total cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge
y=a+bx
y=total cost
a=fixed charge for each shop
b=hourly fee
x=number of hours
Shop A:
total cost=8+3x
Shop B:
total cost=3+4x
8+3x=3+4x
8-3=4x-3x
5=x
At 5 hours both Shops A and B would have the same cost
Find out more about total cost on:https://brainly.com/question/14676357
#SPJ1
The hours when the cost of renting the kayaks would be the same is 5 hours.
The total cost of renting a kayak is $23.
When would the total cost be equal?The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.
The form that the equation would be is:
Total cost = rental fee + (hourly fee x number of hours)
Total cost at Shop A = $8 + $3h
Total cost Shop B = $3 + $4h
Where h is the number of hours the kayak was rented.
When the total costs are equal, the two above equations would be equal.
$3 + $4h = $8 + $3h
Combine similar terms: $4h - $3h= $8 - $3
Add similar terms together: h = 5 hours
Total cost = $3 + $4(5)
$3 + $20 = $23
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
What is the surface area of a igloo with a 20 ft. diameter
The surface area of a igloo with a 20 ft. diameter is [tex]628ft^{2}[/tex]
According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.
Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.
So for finding out area of igloo we find the surface area of of the hemisphere.
Curved Surface area : [tex]2\pi r^{2}[/tex]
Total Surface area: [tex]3\pi r^{2}[/tex]
where r is the radius of igloo.
Radius is half of the diameter therefore [tex]r=\frac{diameter}{2}[/tex]
[tex]r=\frac{20ft}{2} \\r=10ft[/tex]
Therefore radius is 10 ft.
Curved Surface Area: [tex]2*3.14*10^{2} =628ft^{2}[/tex]
Total Surface Area: [tex]3*3.14*10^{2} =942ft^{2}[/tex]
But as we are supposed to find the surface area therefore the answer is [tex]628ft^{2}[/tex].
Hemisphere: A hemisphere is a 3-Dimensional figure which is obtained by bisecting a sphere into two equal halves through its diameter.If you want to learn more about surface areas, click on the link given below:
https://brainly.com/question/15889753
#SPJ9
12. −7.5 • −2³/4
19
Answer:
-9.5
Step-by-step explanation:
Givin g(x) = -x+4, solve for x when g(x)= 0
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
I got you bro dont worry
40 35 37 40 39 41 39 39 36 38 36 39 36 39 35 39 36 37 41 37 38 36 35 40 40 41 39 38 39 35 35 40 39 39 37 38 38 39 35 35 41 37 40 39 38 37 37. Calculate the mode
The mode of the data is 39 as it's frequency is highest .
Mode is a measure of central tendency . It is the no . which has highest frequency in data .
Data - Frequency
40 - 6
35 - 7
37 - 7
39 - 12 ( max . )
36 - 5
38 - 6
41 - 4
The value of frequency corresponding to 39 is maximum .
Therefore , as 39 occurs most of the time in the data , hence it is the mode of this data .
To learn more on measures of central tendency follow link :
https://brainly.com/question/14532771
#SPJ9
The graph shows the relationship between miles and kilometres.
a)
Convert 20 miles
to km.
b)
Convert 64 km
to miles.
By cross multiplication, we have found the following results:
a) 20 miles are equal to 32.180 kilometers.
b) 64 kilometers are equal to 39.776 miles.
How to convert a distance value into another distance unit
In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.
First, we must convert a distance of 20 miles to kilometers by cross multiplication:
x = 20 mi × (1.609 km / 1 mi)
x = 32.180 km
Second, we must convert a distance of 64 kilometers to miles by cross multiplication:
x = 64 km × (1 mi / 1.609 km)
x = 39.776 mi
RemarkThe graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.
To learn more on conversion factors: https://brainly.com/question/13259295
#SPJ1
Answer:
here is the answer⬇️
A student increased in height from 1.52m to 1.68m, calculate the percentage increase (show your working)
The percentage increase in the student's height is 10.52%.
Here we are given that a student's height increases from 1.52m to 1.68m.
Thus, the absolute increase in the student's height will be-
1.68 - 1.52 = 0.16 meters.
Now, we need to find the percentage increase in the student's height.
The formula for calculating percentage increase is given by-
Percentage increase = change in value/ initial value * 100
Here, the change in value is 0.16 meters and the initial value is 1.52 meters.
Thus, percentage increase in height = 0.16 / 1.52 *100
= 1600/ 152
= 400/ 38
= 200/ 19
= 10.52%
Thus, the increase in the student's height is 10.52%.
Learn more about percentage change here-
https://brainly.in/question/19592355
#SPJ9
#12: m∠GKH = ____
need the answer
point b is between A and C. if AC = 3x+3, BC = 2x-1, and AB = 11. Find the length of BC
==================================================
Work Shown:
AB+BC = AC
(11) + (2x-1) = 3x+3
2x+10 = 3x+3
2x-3x = 3-10
-x = -7
x = 7
which is then use to find:
BC = 2x-1 = 2*7-1 = 13AC = 3x+3 = 3*7+3 = 24As a check,
AB+BC = 11+13 = 24 = AC which confirms the answer.
The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation? F(x) = _____ A. F(x) = (x - 2)2 B. F(x) = x2 + 2 C. F(x) = x2 - 2 D. F(x) = (x + 2)2
The transformed equation is:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
What is the equation?We know that the graph of F(x) has the same shape of G(x) = x^2, but shifted to the left 2 units.
Remember that for a random function f(x), a shift of 2 units to the left is written as:
h(x) = f(x + 2).
Then, in this case, we can write:
F(x) = G(x + 2)
Replacing G(x), we can get the transformed equation:
F(x) = G(x + 2) = (x + 2)^2
So we can se that the correct option is D.
If you want to learn more about translations:
https://brainly.com/question/24850937
#SPJ1
Tutorial D
If x = 0 and y < 0, where is the point (x, y)
located?
◄))
on the x-axis
on the y-axis
whats 9 and 4 exponent time negative 1/3 and 4 exponent?
1. 1.371742E−3
2. 256 .
What is an Exponent?
An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 2³) means: 2 x 2 x 2 = 8.
It is written as a small number to the right and above the base number.
Here in the question we find out (9)∧-3 and (4)∧4
1. (9)∧-3 =x∧n=9−1
x∧n=9-³
=1/9³
=1/9×9×9
=1/729
=0.0013717421124829
=1.371742E−3
2. (4)∧4 =x∧n=4∧4
=4×4×4×4
=256
The meaning of exponent is a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.
For more information exponent
visit https://brainly.ph/question/10738818
#SPJ9
6 minus a number minus 11
Answer:
In equation form it should be: (6-x) -11
Step-by-step explanation:
BOOM!!! Your Welcome
Which ordered pairs make the open sentence true?
4x+y>9
Answer:
Step-by-step explanation:
let x = 5, y = 0
so the equation is 4x+y>9
and put the value of x and y in the equation
4 (5) + 0 > 9
20 + 0 > 9
20 > 9, therefore the order pair ( 5,0) satisfies the condition. true
Find the slope of the line passing through the points (7, -2) and (7,5).
slope:
Answer: the slope=0
Step-by-step explanation:
[tex]\displaystyle\\(7,-2)\ and\ (7,5)\\[/tex]
[tex]\displaystyle\\\boxed {the \ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]
[tex]x_1=7\ \ \ \ \ x_2=7\ \ \ \ y_1=-2\ \ \ \ \ y_2=5\\Hence,\\\displaystyle\\the slope=\frac{7-7}{5-(-2)} \\\\the\ slope=\frac{0}{5+2} \\\\the\ slope=\frac{0}{7}\\\\ the\ slope=0[/tex]
Complete the table (again)
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = [x] is transformed to g(x) = |x-31, what transformation occurs from f(x) to g(x)?
O The graph of f(x) is shifted upward to create g(x).
O The graph of f(x) is shifted downward to create g(x).
O The graph of f(x) is shifted to the right to create g(x).
O The graph of f(x) is shifted to the left to create g(x).
Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the functions are given as follows:
f(x) = |x|.g(x) = |x - 31|.That is, g(x) = f(x - 31), hence the function was shifted 31 units to the right and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Directions: Determine whether each relation is a function. Explain your answer.
7) No, y has two different values when x = -1.
8) Yes, each value of x maps onto only one value of y.
9) Yes, each value of x maps onto only one value of y.
systems of liner equations in three variables using substitution method
2x + y + 3z = -2
x - y - z = -3
3x - 2y + 3z = -12
Above given the the linear equations. Systems of liner equations in three variables using substitution method, the variables are (-3.2, -0.218, 0.06).
What do you mean by linear equation?The standard form for the linear equations in two variables is Ax+ By =C. For example, 2x+3y=5 is a linear equation in the standard form. When an equation is given in this form, it's pretty easy to find the both intercepts (x and y). This form is also very useful when solving systems of the two linear equations.
Solve one of the equation for one of it's variables. From the given three variables, there is no incorrect choice so choose to solve for any variable.
x= y+ z -3
Substitute the value from the first variable we solved for into the other equation and solve for the next variable.
(y+z-3) +y +3z = -2
2y+4z= 1
y= [tex]\frac{1+4z}{2}[/tex]
Substitute the value from the two variables that we solved and plug it into the remaining equation and solve for the last remaining variable.
3([tex]\frac{1+4z}{2}[/tex]+z-3) - 2 ([tex]\frac{1+4z}{2}[/tex]) + 3z= -12
3([tex]\frac{1+4z+2z-6}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+ 3z= -12
3([tex]\frac{6z-5}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+3z = -12
[tex]\frac{18z-15}{2}[/tex]- 1+ 4z+ 3z= -12
18z-15-2+8z +6z= -24
32z-17=-24
32z=-24+17
z=[tex]\frac{-7}{32}[/tex]= -0.218
therefore, y= 0.06
Now substitute the values:
x= 0.06+(-0.218)-3= -3.2
The three variables are (-3.2, -0.218, 0.06)
T o know more about the variables visit: https://brainly.com/question/1511425
#SPJ9
which statements are true regarding the sequence below? check all that apply. 10/3,4,24/5,144/25,...
Answer:
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
What is sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given:
10/3, 4, 24/5, 144/25, ...
From the above sequence we can generate the formula,
f (x) = 10/3
Also, for f(x+1) we can have
x=1,
f(1)= 10/3
f(2)= 4
So, f(x + 1) = 6/5(f(x))
Step-by-step explanation:
How many 1/2's are there in 6?
Answer:
12
Step-by-step explanation:
There are 12 1/2's in 6.
To find how many 1/2's there are in 6, you have to divide 6 by 1/2.
6 ÷ 1/2
To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).
6/1 × 2/1
6 × 2
= 12
Have a lovely rest of your day! :)
6/X + 9 if x = 3
pls help me
answer:
6/x + 9 = 11
explanation:
6 div. 3= 2
2+9=11
square root method 5x+9=134
Answer:
Step-by-step explanation:
What are you trying to find? If you want to find x then:
5x = 134 - 9
5x = 125
x = 25
if you want square root then,
x = √625 or
x = 5^2
Find how long it takes a person to drive 212 miles on a highway if she merges onto a highway at 6 p.m. and drives nonstop with her cruise control set on 80 mph.
Can someone explain why this is a false equation
Step-by-step explanation:
I think the answer is just no solution to begin with since the value of an absolute value will never be a negative number or in this case less than -2. therefore the equation is false
YALL IS ANYONE WILLING TO SOLVE MATH?
Answer:
A = 1160
B = 1160 is already in standard form.
C = 1200