Answer:
[tex]f^{-1}[/tex](2) is 3
Step-by-step explanation:
In the function f(x) = y, its inverse is f(y) = x
So to find the inverse of a function switch x and y
Example:
In f(1) = 2, x = 1 and y = 2
Its inverse is [tex]f^{-1}[/tex](y) = x
Then, [tex]f^{-1}[/tex](2) = 1
Let us use this rule to solve the question
∵ f(3) = 2
∴ x = 3 and y = 2
→ To find its inverse switch x and y
∵ [tex]f^{-1}[/tex](y) = x
∴ [tex]f^{-1}[/tex](2) = 3
Is line l parallel to line m? Explain.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.
Answer:
yes, corresponding angles are congruent
Step-by-step explanation:
If a lost male child is found who is 145 cm tall, determine an interval of likely ages for the child. Give whole numbers.
≤ age ≤
We can deduce here that for a height of 145 cm, a likely interval of ages could be: 12 ≤ age ≤ 15
What is inequality?In mathematics, an inequality is a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than or less than another. It represents a comparison or a difference in values.
For a height of 145 cm, a likely interval of ages could be:
12 ≤ age ≤ 15
This range assumes that the child's height falls within the average height range for boys aged 12 to 15 years. However, it's important to consider that individual variations and growth patterns can influence a child's height, so this interval should be interpreted with caution.
Learn more about inequality on https://brainly.com/question/24372553
#SPJ1
what is 5/ 16 expressed as a percentage
Answer:
31.25%Step-by-step explanation:
To express a number as a percent we will first divide the top number by the bottom number.
5/16 = 0.3125
A percent is expressed by moving the decimal two places to the left.
31.25%assume that 2000 births are randomly selected and 64 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below
Total no. of births = 2000
Births of girls = 64
Birth% of girls
[tex] = \frac{64}{2000} \times 100[/tex]
[tex] = \frac{64}{20} [/tex]
[tex] = \frac{6.4}{2} [/tex]
[tex] = 3.2\%[/tex]
Hence, the number of girls are significantly low.
The diameter of a circle is 4 miles. What is the circle's circumference?
Answer:
C ≈ 12.56 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASGeometry
Diameter: d = 2rCircumference: C = 2πrStep-by-step explanation:
Step 1: Define
d = 4
Step 2: Find Circumference
Rewrite formula: C = πdSubstitute: C = 4πEvaluate: C ≈ 12.5622a) PLEASE HELP BEST ANSWER BRAINLIEST
Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).
a
What value of k makes these segments perpendicular?
Answer:
the answer is k=1
Step-by-step explanation:
A meteorologist records the temperature as - 7.5°C at 7 a.m. and as-4.3°C at 10p.m. Which statement is true?
Answer:
Step-by-step explanation:
its maybe A
A dime (0.10) is what percent of a dollar (1.00)?
Answer:
10%
Step-by-step explanation:
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.
Answer:
B, D, E
Step-by-step explanation:
The times and distances that represents the travelers motion are;
At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.The given parameters;
[tex]D(t) = 300t \ + \ 125, \ \ \ \ \ 0\leq t\leq 2.5\\\\D(t) = 875, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.5 \leq t\leq 3.5 \\\\D(t) = 75t + 612.5 , \ \ \ \ \ \ 3.5 \leq t\leq 6 \\\\[/tex]
From the given distance function, we can calculate the distance traveled at each time;
at 0 hours, the starting distance of the traveler is calculated as;
[tex]D = 300(0) + 125\\\\D = 125 \ miles[/tex]
at 2 hours, the distance traveled is calculated as;
[tex]D = 300(2) + 125\\\\D = 725 \ miles[/tex]
at 2.5 hours, the distance traveled by the traveler is calculated as;
[tex]D = 300(2.5) + 125\\\\D = 875 \ miles[/tex]
At 3 hours, the distance traveled by the traveler is calculated as;
[tex]D(t ) = 875 \ \ \ \ \ 2.5 \leq t \leq 3.5\\\\D(3) = 875 \ miles[/tex]
The total distance from home after 6 hours is calculated as follows;
[tex]D = 75(6) \ + \ 612.5\\\\D = 1,062.5 \ miles[/tex]
Thus, the times and distances that represents the travelers motion are;
At 2 hours, the traveler is 725 miles from home.At 2.5 hours, the traveler is still moving farther from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.Learn more about time and distance here: https://brainly.com/question/2854969
How can you solve linear equations and inequalities in one variable, including equations with coefficients represented by letters?
Answer:
X=3
Step-by-step explanation:
For a linear equation like 2x + 3 = 9 you would start with subtracting 3 from both sides. Then you would divide both sides by 2 to get x by itself. You get x=3
For linear inequalities it’s the same but with a less than or equal sign. You just solve the same way. However if you divide a negative the sign flips like in my second example. I’m not sure if this is exactly what you are looking for since I don’t know what your problems look like but I hope it helps.
1) g(x) = 4x + 3
h(x) = 3x + 3
Find g(x) + (x)
Answer:
Step-by-step explanation:
g(x) = 4x + 3
h(x) = 3x + 3
g(x) + h(x) = 7x + 6
Describe 3 types of maps
Answer:
population-amount of people per sq ft
climate- the average climate in that are
physical- elevation, landmarks,
Step-by-step explanation:
The given equation shows the relationship between the price, in dollars, y, of x gallons of gasoline.
y = 2.251
Which graph represents the proportional relationship?
Cost of Gasoline
3.5
Cost of Gasoline
3.5
3
3
2.5
2.5
Price ($)
2
Price ($)
2
1.5
1.5
1
1
0.5
0.5
0
0
0.5 1 1.5 2 2.5 3 3.5
Gallons of Gasoline
w.
0.5 1 1.5 2 2.5 3 3.5
Gallons of Gasoline
X.
Cost of Gasoline
Cost of Gasoline
Y
3.5
3.5
3
3
2.5
2.5
Price ($)
2
Price ($)
2
1.5
1.5
1
1
0.5
0.5
0
0
0.5 1 1.5 2 2.5
1.5 2 2.5 3 3.5
Gallons of Gasoline
Y.
0.5 1 1.5 2
1.5 2 2.5 3 3.5
Gallons of Gasoline
z.
1 of 10 Answered
Session Score: 0% (0/1)
If you write out the numbers from 0 to 40, how many times would you write the digit 3?
Four Times you'd say it
The numbers where there are 3 digits from 0 to 40 are
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39
The digit 3 will be written thirteen times.
What is a number line?It is the way of representing numbers on a line where there is an equal unit between each number.
We have,
Numbers from 0 to 40.
There is always a digit 3 in every ten consecutive numbers.
From 0 to 40 we have 4 ten consecutive numbers.
- 0 to 10
- 10 to 20
- 20 to 30
- 30 to 40
3, 13, 23, and 33. _____(1)
There is a digit of 3 in all the consecutive numbers from 30 to 39.
i.e 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39. ____(2)
From (1) and (2) we have,
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39
Thus,
The digit 3 will be written thirteen times.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
The first U.S. census was conducted in 1790. At that time, the population was 3.93 million. Since then, the U.S. population has grown by approximately 2.03% annually. At that rate, what was the population in 1850?
A. 13.12 million
B. 1.14 million
C. 25.71 million
D. 15.56 million
Answer:
It's actually A, because the US population got doubled ever year
Is 1¾ a rational numbers
Answer:
Yes 1¾ is a rational number
Step-by-step explanation:
1¾ is written as a fraction of two integer and is therefore rational.
Question 1 of 10
What is the slope of the line shown below?
10
(3,9)
O A.
5
B. 4
(1,1)
-5
10
15
O C. -
1
4
O D.-4
SUBMIT
The slope of the given line is 4.
What is slope?The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Given that, a line passing through points (3, 9) and (1, 1) we need to find the slope of the line,
Slope = y₂ - y₁ / x₂ - x₁
So,
Slope = 9-1 / 3-1 = 8/2 = 4
Hence, the slope of the given line is 4.
Learn more about slopes, click;
https://brainly.com/question/3605446
#SPJ7
SUPER URGENT ANSWER BOTHHHHH QUESTIONS
I WILL DEF MARK BRAINLYEST
READ CARFULLY!
Answer:
Step-by-step explanation:
563 people / 15 classes= 37 8/15. They should offer 38 classes.
2146 questions in 45 weeks.
2146/45= 47 31/45. round to 48 questions a week.
I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.
pls help pls ill mark brainliest
Answer:
Area/Circumference is the length of a circle!
Step-by-step explanation:
Answer: the answer is area/ circumference
Step-by-step explanation:
Anyone???
Mathematics
Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball’s total pay p after selling d dollars of software.
Answer:
P=0.08d+41,250
Step-by-step explanation:
The total amount earned, p which is the sum of the base salary and the commision on sale can be expressed as ;
p = 41250 + 0.08dGiven the Parameters :
Base salary = 41250Commission percentage = 8% = 0.08Amount of sales made = dThe total pay after selling software worth $d can be expressed thus :
Base salary + (commission percentage × amount of sales)
Total pay = 41250 + (0.08 × d)
p = 41250 + 0.08d
Therefore, the total pay, p is expressed as 41250 + 0.08d
Learn more :https://brainly.com/question/18393133
how to get beter at maths
Answer: to get better in math:-
i) listen to the math class properly
ii) practice the math works thoroughly
iii) do homeworks on time
iv) if there is any doubt still feel free to ask to the teacher
v) do revision of the taken chapters once in month
vi) If u can attend tuition classes then attend them
doing these steps I'm sure u can be better in math.
Hope it helped u, pls mark this as brainliest and put thanks for the ans
3/4x+2-1/3x=12
What is the answer?
Answer:
x=24 or 25
Step-by-step explanation:
90% is x=24
89.999999 repeat% is x =25
Use the digits 5, 3 and 2 two only once in each number how many different three digit numbers can you make
elena receives $200 for a birthday present, which she deposited in a bank account. Every month she withdraws $25. how much will she have left in her bank?
Answer:
8 months
Step-by-step explanation:
for every 100 four 25s and these two 100s so 8
hope this helps
What is the area of a semicircle with a diameter of 10 cm?
Answer:
39.27 cm²Step-by-step explanation:
area of semi circle = π r² / 2
where r = 10/2 = 5 cm
area = π (5)² / 2
= 39.27 cm²
Answer:
39.3 cm2
Step-by-step explanation:
diameter=radius/2= 10/2 = 5
area of semicircle=pi(r^2) / 2
=pi(5^2) / 2
=39.26...
=39.3
6c = 7c − 7
with work shown
Answer:
c = 7
Step-by-step explanation:
6c = 7c - 7
Subtract 6c to both sides
0 = c - 7
Add 7 to both sides
c = 7
Answer:
c = 7
Step-by-step explanation:
Step 1: Subtract 7c from both sides.
6c − 7c = 7c − 7 − 7c
−c = −7
Step 2: Divide both sides by -1.
-c/-1 = -7/-1
c = 7
Tyler is packing his bags for vacation. He plans to pack two outfits for each day of vacation.
Let d = the number of days of his vacation.
Write an expression for the total number of outfits WILL BRIANLIST
=========================================
Work Shown:
d = number of days of his vacation
1 day = 1*2 = 2 outfits
2 days = 2*2 = 4 outfits
3 days = 3*2 = 6 outfits
4 days = 4*2 = 8 outfits
5 days = 5*2 = 10 outfits
and so on.
In general we can say,
d days = d*2 = 2d outfits
d is simply a placeholder or a box where we'll place a number inside. For example, if he's on vacation for d = 7 days, then he'll bring 2*d = 2*7 = 14 outfits.
The expression 2*d is the same as 2d. We can leave out the multiplication sign since having a number next to a variable like this implies multiplication.
The expression for the total number of outfits is 2d
The total number of outfits Tyler plans to pack for his vacation can be expressed as 2 multiplied by the number of days of his vacation, which we'll denote as 'd'. Since Tyler plans to pack two outfits for each day, multiplying 'd' by 2 will give us the total number of outfits.
In this expression, 'd' represents the number of days of Tyler's vacation, and multiplying it by 2 accounts for the two outfits planned for each day. This expression allows us to calculate the total number of outfits based on the length of Tyler's vacation.
For example, if Tyler's vacation is 7 days long, the expression 2d would yield:
2 * 7 = 14
Therefore, Tyler would plan to pack 14 outfits for his 7-day vacation. The expression 2d allows flexibility to calculate the total number of outfits based on the specific number of vacation days.
To know more about multiplying: https://brainly.com/question/30875464?
#SPJ2
If one of y’all know the answer could you please tell me I would really appreciate it<3
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. PLS HELP ILL GIVE BRAINLIEST
Answer:
x is eighteen
y is fifty four
Answer:
x= 18 degrees and y=54 degrees
Step-by-step explanation:
Look at the top of the line AB. You can see that
3x+y+72=180
Now, look at the left side of the line CD. You can see that
y+90+2x=180
Hence, you have 2 equations in 2 unknows, which are possible to solve.
In resume, the 2 equations are:
3x+y+72=180
2x+y+90=180
By substracting the second equation to the first one, it yields
x-18=0
which implies x=18.
Now, we can susbstitute this value on the fist equation:
3(18)+y+72=180
54+y+72=180
y+126=180
y=180-126
y=54
We can corroborate these result in the second equation:
2(18)+54+90=
36+54+90=
90+90=
180.
Thats right !!