Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.
1. Write a function that defines the cousins age as a function of Noah's age.
2. What variable represents the input of this function?
3. What variable represents the output of this function?
4. Write the inverse of the function you wrote.
5. What variable represents the input of the inverse function?
6. What represents the output of the inverse function?
Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
As part of a science experiment, a student observes the growth of a population of bacteria in four different media. The table below lists the observations the student made.
Medium
Observation
1
Population increases by 10 every hour
II
Population decreases by 10 every hour
THI Population increases by 10% overy hour
M Population decreases by 10% every hour
In which media can the change in the population of bacteria be modeled by a linear function?
media I and II
media I and III
media II and IV
media III and IV
Answer:
Step-by-step explanation:
Here is the graph and I’m not sure if my answer is correct or not
HELLLP!!!!!
two major cities each have a population of 25,000 people. the population of city A increases by about 260 people per year. the population of city B increases by about 1% every year.
Answer:
City A
Year 0: 25,000
Year 1: 25,260
Year 2: 25,520
Year 3: 25,780
Year 4: 26,040
Year 5: 26,300
City B
Year 0: 25,000
Year 1: 25,250
Year 2: 25,502
Year 3: 25,757
Year 4: 26,014
Year 5: 26,274
In year 5 City B will have a larger population. City B has a more exponetial model while City A is more linear model.
Step-by-step explanation:
How many 3/4s are in 2? Draw a Diagram
Answer:
2 2/3
Step-by-step explanation:
2/1 x 4/3 = 8/3 = 2 2/3
Which expressions represent the same value?
Please helpp
Answer:
a and d
Step-by-step explanation:
..... trust me ..... .....
PLEASE PLEASE PLEASE HELPPPPPPPPP
Answer: C. Trapazoid.
Step-by-step explanation:
Sales per Day 0 1 2 3 4 8 9 10 11 12 5 6 7 Number of Sales The box plot above summarizes the number of sales that Lee makes each day over the past 10 days. How many sales did Lee make on his 3rd-highest day?
Answer:
8
Step-by-step explanation:
Mr. Lawrence baked 25 cookies. 3 fifths of the cookies were oatmeal. How many oatmeal cookies did Mr. Lawrence bake?
Answer: 15
Step-by-step explanation:
Answer:
Step-by-step explanation:
25÷5=5
5x3=15
15 oatmeal cookies
The ratio of cows to pigs on the farm is
5:6. There are 30 pigs. How many cows
are on the farm?
Answer:
40
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
answer pls for points and top answer
(5r^2 - 4) - (8r^2 + 7r+8)
Answer:
-3r^2-7r-12
Step-by-step explanation:
Your welcome
How much more than 1/4 cup is 3/4 cup?
Answer:
half a cup
Step-by-step explanation:
75% minus 25% is 50% aka 1 half
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was interested in investigating the proportion of the new cars that experienced a mechanical problem within the first 5,000 miles driven. a) A list of the names and addresses of all customers who bought the new cars is available. Each customer from a simple random sample of 1,000 customers who bought one of the new cars was asked whether they experienced any mechanical problems within the first 5,000 miles driven. 400 customers from the sample reported a problem. Of the 400 customers who reported a problem, 140 customers, or 32.5%, reported a problem specifically with the power door locks. Explain why 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven.
Answer:
The reason that 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven is that 0.35 does not represent the sample proportion.
The correct sample proportion is 0.14 (140/1,000) and not 0.35 (140/400). It is this that can be used to estimate the population proportion and not 0.35.
Step-by-step explanation:
a) Data and Calculations:
New cars sold by the automobile manufacturer = 30,000
Number of customers that the 30,000 new cars were sold to = 30,000
Simple random sample = 1,000 customers
Number of customers from the SRS that reported a problem = 400
This is equal to 40% of the sample (400/1,000 * 100)
Proportion of customers who reported a problem (specifically) with the power door locks = 140/400 = 0.35
Proportion of customers out of the sample that reported specifically a problem with the power door locks = 140/1000 = 0.14.
PLEASE HELP I WILL GIVE BRAINLIEST EXPLAIN!!!
Answer:
1) $68.40
2)456 tickets
Step-by-step explanation:
1)
They need to raise $8,250.
They have already raised $3,120.
The amount they have still to raise is $8,250-$3,120=$5,130.
There are 75 band members, so the amount yet to raise per member is $5,130/75=$68.40.
2)
The businesses give $0.50 for every $1 in ticket sales, ie. they pay an extra 50% of the total.
Let number of tickets sold=x
Let money made from ticket sales = 7.5x
The total amount of money made is therefore 1.5(7.5x)=11.25x
The minimum amount of tickets to hit $5,130:
$5,130=11.25x
x=456
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all. How many ride tickets was she able to ride while she was there? *
Answer:
20-5
Step-by-step explanation:
Please help this is the last question I need I don't get it
400 hope this helps!
May I have brainliest please? :D
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples is a bushel of large apoles, how many small apples are in 1 lb of apples?
Answer: 4 apples in 1 lb
Step-by-step explanation:
Since there are twice as many apples as large apples, you would multiply
2 x 84 = 168
To find the apples per pound we want to divide the total number of apples, which is 168 by the weight of the bushel which is 42 lbs.
168/42=4
Therefore, there is 4 apples in 1 lb.
Hope this helped!, come back if i am wrong! :) ( I can redo the problem if it is)
Have a nice day! :)
How many groups of 1 2/3 are in 5/6? Please help
Answer:
2
Step-by-step explanation:
1 2/3 5/6
5/3 -> 10/6 -> 3 1/3
1 2/3 x 2 = 3 1/3
There are [tex]\frac{1}{2}[/tex] groups of the first fraction in the second fraction.
Given the following data:
Fraction 1 = [tex]1\frac{2}{3}[/tex]Fraction 2 = [tex]\frac{5}{6}[/tex]What is a fraction?A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.
The parts of a fraction.In Mathematics, a fraction comprises two (2) main parts and these include:
NumeratorDenominatorNext, we would divide the second fraction by the first fraction as follows:
[tex]Groups = \frac{\frac{5}{6} }{\frac{5}{3} } \\\\Groups = \frac{5}{6} \times \frac{3}{5} \\\\Groups = \frac{3}{6} \\\\Groups = \frac{1}{2}[/tex]
Read more on fractions here: brainly.com/question/368260
what is 18/40 in simplest form?
Answer:
9/20
Step-by-step explanation:
18 is divided by 2 equals 9
---
40 is divided by 2 equals 20
Need accurate answers only
(THIS IS 30 POINTS!!) In Ms. Hollbrook's class, 62% of the class enjoys watching anime. If there are 32 students in Ms. Hollbrooks class, about how many students enjoy watching anime?
A) 12 students
B) 14 students
C) 16 students
D) 20 students
Answer:
D)
Step-by-step explanation:
32*0.62=19.84≈20.
1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29
Answer:
D
Step-by-step explanation:
4(z+ 4) + 5 z = 2
4(2+4)+5
4(6)+5
24+5
=29
Answer:
theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions
Step-by-step explanation:
Write the division expression as a fraction.
•9÷11
•12÷17
• 1÷8
• 2÷7
• 23÷35
Answer:
9/11, 12/17, 1/8, 2/7 & 23/35
Step-by-step explanation:
A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons of mass into energy every second. How many tons of mass will be transformed into energy during the star's 10-billion-year lifetime. Hint: Find the number of seconds in 10 billion years.
Answer:
2.20752 x [tex]10^{24}[/tex]
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
365 days refer to the total number of days per year86,400 seconds refer to the number of seconds per dayLet's solve.
365 x 86,400 = 31,536,000 or 3.1536 x [tex]10^{7}[/tex]Therefore, one year has 3.1536 x [tex]10^{7}[/tex] seconds.
Next, you have to know the number of seconds in 10 billion years.
(3.1536 x [tex]10^{7}[/tex]) x (1.0 x [tex]10^{10}[/tex]) = 3.1536 x [tex]10^{17}[/tex]The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
(3.1536 x [tex]10^{17}[/tex]) x 7,000,000 = 2.20752 x [tex]10^{24}[/tex]Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic theories, also enjoyed trout fishing, ballet and fine wines. He won the 1973 Nobel Prize in economics for his work in creating mathematical models to describe various economic phenomena. In the remainder of this lab we will look at a very simple special case of his work called a closed exchange model. Here is the premise: Suppose in a far-away land of Eigenbazistan, in a small country town called Matrixville, there lived a Farmer, a Tailor, a Carpenter, a Coal Miner and Slacker Bob. The Farmer produced food; the Tailor, clothes; the Carpenter, housing; the Coal Miner supplied energy; and Slacker Bob made High Quality 100 Proof Moonshine, half of which he drank himself. Let us make the following assumptions:
Everyone buys from and sells to the central pool (i.e. there is no outside supply and demand). Everything produced is consumed. For these reasons this is called a closed exchange model. Next we must specify what fraction of each of the goods is consumed by each person in our town. Here is a table containing this information:
Food Clothes Housing Energy High Quality 100 Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.2
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.1
Coal Miner 0.2 0.15 0.2 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.5
So for example, the Carpenter consumes 22% of all food, 19% of all clothes, 22% of all housing, 22% of all energy and 10% of all High Quality 100 Proof Moonshin. The columns in this table all add up to 1. Explain why this happens.
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
PLS HELP ILL GIVE YOU BRAINLIEST
What is the area of the circle in terms of pi?
Answer:
C=9
Step-by-step explanation:
A = πr^2
A = π 9
9
George added two numbers and the result was 52. He also calculated the difference of the two number and it was 14. Find the larger number
The larger number was
(-4 + 3i)(-12 + 6i)
Simplify expression
Answer:
=30−60i
Step-by-step explanation:
Jack, Evan and Molly share somo money in the ratio 5:9:6 In total, Jack and Molly receive $77 Work out the amount of money that Evan receives.
Answer:
$63
Step-by-step explanation:
Find out the total amount of units that Jack and Molly have.
5 + 6 = 11
11 units = $77
Find out 1 unit to be able to find out how much Evan receives.
1 unit = $77 ÷ 11 = 7
Evan has 9 units, so find out how much money is 9 units.
9 units = 7 x 9 = $63
A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answer:it took the particle 50,000,000 seconds to travel the specified distance
Step-by-step explanation:
Given that distance = Rate x time
Distance traveled by Particle= 9.0×10^12 meters
and rate= 1.8×105 meters per second
Time taken for particle to travel the specified distance using our equation that
distance = Rate x time
time = Distance / Rate
=9.0×10^12 meters/ 1.8×105 meters per second
=50,000,000 seconds