Given:
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]
To find:
The missing value.
Solution:
We have,
[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex] ...(i)
We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then
[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex] ...(ii)
From (i) and (ii), we get
Missing value = [tex]x[/tex]
Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].
Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73
Answer:
$ 60
Step-by-step explanation:
hope it helps!
.....
Answer:
It is B
Step-by-step explanation:
Got it right on unit review
HELP PLEASE AND THANKYOU!!!l
how to write exponents
Answer:
[tex]2\cdot2\cdot2[/tex] = [tex]2^{3}[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]Writing[/tex] [tex]exponents[/tex] [tex]is[/tex] [tex]fairly[/tex] [tex]easy.[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]5\cdot5\cdot5\cdot5\cdot5[/tex] = [tex]5^{5}[/tex] [tex]because[/tex]
[tex]there[/tex] [tex]are[/tex] [tex]5[/tex] [tex]fives[/tex] [tex]that[/tex] [tex]are[/tex] [tex]being[/tex] [tex]multiplied.[/tex]
[tex]---------------------------------[/tex]
[tex]Always[/tex] [tex]remember,[/tex] [tex]you[/tex] [tex]don't[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]whole[/tex] [tex]number[/tex] [tex]by[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]---------------------------------[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]6^{7}[/tex] [tex]does[/tex] [tex]not[/tex] [tex]equal[/tex] [tex]42[/tex] [tex]because[/tex] [tex]you[/tex] [tex]have[/tex] [tex]to[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]6[/tex] [tex]the[/tex] [tex]number[/tex] [tex]of[/tex] [tex]times[/tex] [tex]it[/tex] [tex]says[/tex] [tex]on[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]Which[/tex] [tex]means[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]six,[/tex] [tex]seven[/tex] [tex]times.[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
2 + -30 - (-5) + 60 + (-75)
Answer:
-38
Step-by-step explanation:
distribute, mutiply and add
Which relation diagram represents a function?
Answer:
It is going to be the first one on the top left.
Step-by-step explanation:
the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.
A relation will be a function if for every single input there is only one output thus option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given diagrams,
A relation will be a function if for every single input there is only one output.
In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.
In the first diagram for every single input there is only one output.
Hence "A relation will be a function if for every single input there is only one output".
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The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many seconds does it take light to travel from Sirius to Earth? Write your answer in scientific notation, rounded to the nearest hundredth.
Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per n seconds
- Need to solve for n
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
[tex]\frac{1.86 * 10^5}{1}[/tex] = [tex]\frac{5.062 * 10^1^3}{n}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
n × (1.86 × 10^5) = 5.062 × 10^13
4. Solve for n by isolating the variable and dividing.
[tex]\frac{n (1.86 * 10^5)}{1.86 * 10^5}[/tex] = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = 2.72 × 10^8 (Make sure to include the unit, seconds)
The number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.
We need to find out how many seconds it takes light to travel from Sirius to Earth.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Let the number of seconds it takes light to travel from Sirius to Earth be n seconds
Now, the proportion=[tex]\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}[/tex]
⇒[tex]n=\frac{5.062\times10^{13}}{1.86\times10^{5}}[/tex]
⇒[tex]n=2.72\times10^{13-5}=2.72\times10^{8}[/tex]
Therefore, the number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
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30 students in a class took an algebra test.
If 21 students passed the test, what percent passed?
Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
Does anyone know? How to do this?
Answer:
4 operations b/c thats how many is in the box
them you do addition using PEMDAS( perinthasis exponets multiplication division addition subtraction hope this is helpful
Step-by-step explanation:
Mikai walks her dog Rufus take regular walks
together. Mikai and Rufus travel 5 miles every
8 days. Over the last 40 days how far have
Mikai and Rufus walked?
Answer:
They walked 25 miles in 40 days.
Step-by-step explanation:
The answer is 40 because 5 divided by 8 is 0.625 and 0.625 multiplied by 40 is 25.
P.S Can I have brainliest?
A line passes through the point (2,3) and has a slope of 0, what equation of the line?
A: y=2
B: y=3
C: x=2
D: x=3
Answer: B
Step-by-step explanation: put the points on a graph
write an equation of the line with a slope of 2 and a y-intercept of 5
Answer:
y= 2x + 5
Step-by-step explanation:
How many adults visited the museum in February
Answer:
83 adults visited the museum on february...
Step-by-step explanation:
hope this helps
help again again again
Answer:
it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up
(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!
Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.
Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12
Answer:
b
Step-by-step explanation:
i did the math for over an hour and got the same answer 25 times
Why is math so hard to do for other people in the world?
Answer:
To make math easy for my students, whenever I become a math teacher, is the sole purpose why I want to be an educator. To understand how to make math easy, one needs to understand the whats, hows, whys of why people struggle with math.
Most people do not relate to math well and it usually starts around the middle/highschool level.
It's really no one's fault, to be honest.
At some point after arithmetic people start to lose sight, rather never realize what math is actually about. Math is more than counting, it is about critical thinking, logic, reason, pattern, and theory, way more than just digits. Yet, common education( at least here in the US) teaches to follow steps to solve problems as if it were a cookbook, just memorize the recipe and your good to go. If one gets the right or wrong answer, they would be lost as to explain what is truly happening.
Example Learning algebra I followed steps to solve for “x. ” Yet, I never knew, truly, what I was doing. All I remember thinking was the y intercept helped me get the “x.” Only later in self study in college did I bump into the fundamental theorem of algebra…. It all made sense. That moment put it into perspective for me.
If we want people to be good at math we have to give perspective on what is being taught, either presenting theory(which Uncle Sam should do), or simply by giving the bigger picture. With my example, to many people, they see it as a whole bunch digits and letters, get confused, and rightly so. If we explain to someone what's going down, that we are studying lines and that the intercepts(roots) help us better study(analyze) and capture these here lines and curves.
“Mr. Teacherman, Why do we need to study lines and cruves?” Great question student! To help us better understand the world around us. Just studying these simple curves on a graph may seem meaningless, but it forms the basis for things that aid us in many human endeavors, from building edifices to computer programming.
I wish that teachers did that in every class everyday.
In the US, we follow the cookbook method disservicing an entire country, especially those who are on the lower end of society.
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
giving brainly !! if u help me
Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.
a jeweler makes a necklace using red and blue beads. The jeweler has 24 red beads and 36 blue beads. What is the greatest number of identical bracelets the jeweler if all beads are used?
Answer:
60
Step-by-step explanation:
24+36
20+30=50
4+6=10
50+10=60
what is the product of 2 1/8 and 4 1/3 ? who ever answer correct will be marked brainlest
Answer:
9 5/24
Step-by-step explanation:
11) Solve the multiplication equation. Check your answer.
39 = 13y what does y equal?
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
Answer:
y = 3
Step-by-step explanation:
39 = 13y
Divide each side by 13
39/13 = 13y/13
3 = y
Check
39 = 13*3
39 = 39
Our solution checks
Helppp asappp I need help with 4
Answer:
Step-by-step explanation:
1. Write the equation in point slope form. Remember, point slope form looks like this: y-y1=m(x-x1), with m representing slope. With this equation, you plug in the y coordinate for y1 and the x coordinate for x1. So, it will look like this
y+6=2/3(x+5)
2. Then, convert that into slope intercept form, which is y=mx+b.
y+6=2/3x+10/3 (2/3 * 5)
y= 2/3x - 8/3 (10/3 - 6)
Therefore, your slope-intercept form of the equation is: y=2/3x - 8/3
3. From there, you can graph the line. See the graph in the image attached.
whats 1 + 1? brainly to who could answer
Answer:
i think its 4
Step-by-step explanation:
Please help!! I have trouble in math and will give points and thanks for this!!
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
Find the slope of the line represented by the table
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
Read the excerpt from Silent Spring.
On the farms the hens brooded, but no chicks hatched. The farmers complained that they were unable to raise any pigs—the litters were small and the young survived only a few days. The apple trees were coming into bloom but no bees droned among the blossoms, so there was no pollination and there would be no fruit.
The repetition of the word “no” in this excerpt helps create a tone of
motivation.
doom.
acceptance.
violence.
Answer:
B.) Doom
Step-by-step explanation:
I just did that test on Edge.
The repetition of the word “no” in this excerpt helps create a tone of doom.
What is tone?Tone in literature is the general character as well as the attitude of the author on the piece of writing or the situation.
In the case of the text, doom was used which means the predicament or unpleasant situation that took place in the farms when the hens brooded, but no chicks hatched.
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Find the area and perimeter of the square using formula and
the given dimensions.
A square with a side length of 13 meters.
A P = 22 m, A = 129 sq. m
B P = 42 m, A = 159 sq. m
C P = 52 m, A = 169 sq. m
D P = 32 m, A = 189 sq. m
Answer:
A= l×l
= 13×13
A= 169
P= 4l
= 4×13
= 52
so the answer is C
What’s is the value of the expression 7+[8-(1+9)]
Answer:
5
Step-by-step explanation:
7+(8-(1+9))
7+(8-10)
7+(-2)
7-2
5