X¹² - 1 แยกตัวประกอบของพหูนาม
Answer:
[tex]\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)[/tex]
Step-by-step explanation:
Factor of [tex]x^{12}-1[/tex] is
[tex]\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)[/tex]
A room has to be painted and worker A does 1/3 of the work then leaves. Next worker B does 1/4 of the remaining work and then leaves and finally worker C does 1/5 of the remaining work and then leaves.
What fraction of the room still needs to be painted?
a)3/5
b)2/5
c)13/60
d)7/15
Here, we are given that a room is painted by A, B and C so here three of them have done the work. So, we'll add all these fractions and assume the total work as 1 after that we will substract all the added ones from 1
Let us assume the room completely painted be 1
Now,
A has done 1/3, B has done 1/4 and C has done 1/5 work of the remaining
So, let us add them
A + B + C ⅓ + ¼ + ⅕Getting the L.C.M. The L.C.M of 3,4,5 is 60
20/60 + 15/60 + 12/6047/60Hence, 47/60 room has been painted
Remaining to paint
Total is assumed as 1
Work done = 47/60
Fraction of room needs to painted = 1 - 47/60
(60 - 47)/6013/6013/60 of the room needs to be painted, OPTION C IS CORRECT
Find the AREA of the shape
Step-by-step explanation:
LxB
8x7
equals :56
Area equals to 56cm
8th grade math
5. What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling 2 or 4 on a 6-sided number cube?
Answer:
5 in 12 chance or 42% probability of happening
Two cylinders are similar the volume of one is 27cm^3 the volume of the other cylinder is 1331cm^3 what is the scale factor between them
Answer:
scale factor = 3 : 11
Step-by-step explanation:
Given 2 similar figures with scale factor a : b , then
ratio of volumes = a³ : b³
Here
ratio of volumes = 27 : 1331 . so
scale factor = [tex]\sqrt[3]{27}[/tex] : [tex]\sqrt[3]{1331}[/tex] = 3 : 11
Answer:
3:11
Step-by-step explanation:
Let A={5,8}, B={p,q}, C={r,v} How many elements are in A×B?
There are 4 elements in the set A* B
How to determine the number of elements in A * B?The sets are given as:
A={5,8}
B={p,q}
C={r,v}
The expression A * B implies that:
A * B = n(A) * n(B)
Where n( ) implies that the number of elements in......
So, we have
A * B = 2 * 2
This is so because sets A and B have 2 elements each
Evaluate the product
A * B = 4
Hence, there are 4 elements in the set A* B
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Find - 36
.
Ο +6
-6
9Ο
Ο 18
Answer:
+or-6
Step-by-step explanation:
This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.
Answer:
Step-by-step explanation:
NJ Transit raises its train fees. Snooki wants to visit her parents which used to cost $28 but they increased the fares by 15%. What will the ticket cost now?
Answer: 32.20$ Train Fee
Step-by-step explanation:
15% of 28 is 4.20... 4.20 will be added to the current Train Fee
28.00$
+ 4.20$
32.20$
Final result: The Train Fee will be 32.20$
2. 3.6 x 5.5? Explain your answer. (Make sure you include how you knew where to
place the decimal point.)
Answer:
19.80 or 19.8
Step-by-step explanation:
When multiplying decimal numbers we forget the decimal points and multiply normally; like, 3.6 x 5.5 = 1980, then we count how many decimal numbers(numbers after the decimal point) there are in the factors(In 3.6 we have the decimal number 6. And in 5.5 we have the decimal number 5 ). So here we have 2 decimal numbers resulting in our answer being, 19.80 or 19.8 since the 0 is unnecessary.
PLZ HELP ME I NEED HELP PLZZZ!!!!!
Select all that apply.
Given the points (-6, 8) and (-3, 4), which of the following are true about the line passing through these points?
The line represents a direct variation function.
The line has a slope of -3/4 .
The point (9, -12) is also on the line.
The line has a slope of 3/4 .
Answer:
the point (9,-12) is also on the line
Step-by-step explanation:
by using the 2 points the equation is y=-4/3x
use x of 9
y = -12
it will also represent a direct variation function
so two of the 4 will be correct
Answer:
The point (9,-12) is also on the line
Step-by-step explanation:
Please give brainliest
SOMER HELP ON GIS ONEEEE
Answer:
2 one
Step-by-step explanation:
well if u go the other way for it to go right it is mf
Homework pikcuts
Pleas
Answer:
[tex] \frac{12 - 23 \sqrt{2} }{46} [/tex]
Step-by-step explanation:
you find the LCM
Can anyone help? Most brainiest for the correct answer!!
Explanation:
The "large cars" pie slice takes up 7% of a full circle. This means that the degree measure of this slice takes up 7% of a full 360 revolution.
7% of 360 = 0.07*360 = 25.2 degrees
This then rounds to 25 degrees
25
If you like, I can put on the solution.
Q16. If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the
width?
16 feet
O 35 feet
O 37 feet
0 40 feet
42 feet
Answer:
OPTION A :16 FEET
PERIMETER =26 1/3=76/3yard=76/3×3=76 feet
LENGTH=22feet
Width=76/2-22
WIDTH=38-22=16 FEET
In a mathematics class , half of the students scored 84 on an achievement test. With the exception of a few students who scored 50 , the remaining students scored 76. Which of the following statements is true about the distribution of scores ?
A. The mean is greater than the mode.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is greater than the median.
Answer: B. The mean is less than the median
Step-by-step explanation:
there are some that scored 51 which means - mean<median
(5pg)3=125pg. Is wrong or correct
Answer:
125 p^3 g^3
Step-by-step explanation:
(5pg)^3
We know that (ab)^c = a^c * b^c
5^3 p^3 g^3
125 p^3 g^3
a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.
Given:
Speed[tex]= \bold{9.2 \ \frac{miles}{hour}}[/tex]
[tex]\therefore \\\\[/tex]
1-hour= 60 minutes
1-minutes=60 second
So
1-hour= 3600 second
Converting the given time into seconds:
Time= 6 minutes and 30 second
[tex]=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\[/tex]
When 3600 seconds covers=9.2 miles
Then equation:
[tex]=\bold{\frac{9.2}{3600}}\\\\[/tex]
390 seconds covers:
[tex]=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\[/tex]
Let
[tex]\bold{1 \ miles= 1760\ yard}\\\\[/tex]
Convert the traveling value into yards:
[tex]=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\[/tex]
Therefore, total traveling yards are"1754.072".
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Speed of the person has been given as 9.2 miles per hour.
Therefore, speed of the person in miles per minute = [tex]\frac{9.2}{60}[/tex]
Duration for which the person is running = 6 minutes and 30 seconds
= 6 minutes and [tex]\frac{30}{60}[/tex] minutes
= 6.5 minutes
Since, Distance = Speed × Time
By substituting the values in the expression we can get the distance traveled.
Distance = [tex]\frac{9.2}{60}\times 6.5[/tex]
= 0.9967 miles
Since, 1 mile = 1760 yards
Therefore, 0.99667 miles = 1760 × 0.99667
= 1754.13 yards
Total distance traveled by the person is 1754.13 yards.
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Hours worked in a week - 32; Total Pay - $160.00; What is the hourly rate?
Answer:
$5
Step-by-step explanation:
Number of hours worked = 32
Total pay = $160
So, hourly rate
= Total pay/number of hours worked
= $160/32
= $5
Danny got a raise and now makes $58,965.95 a year. Round this number to the
nearest:
a) dollar
b) thousand dollars
c) ten thousand dollars
Answer:
c) ten thousand dollars
Step-by-step explanation:
The cube of an integer is called a __________ ?
Answer:
a perfect cube
Step-by-step explanation:
Answer:
It is called a perfect cube .
Step-by-step explanation:
I|I is an integer between 11 and 17
Yes, there is. It's 14. Hope this helps.
in a class of 80 students in Debre Berhan university,45 good in mathematics,15 are good in both Mathematics and English,13 are good in both Mathematics and Psychology, 16 are good in both in English and psychology,20 are good in Psychology and 9 are good in both of the three courses A,how many students are good in mathematics only? B,how many students are not good in any of three courses?
The relationship between the number of students that are good at a given subject is an illustration of sets.
26 students are good at Mathematics only.28 students are not good at all.We use the following representations:
[tex]M \to[/tex] Mathematics
[tex]E \to[/tex] English
[tex]P \to[/tex] Psychology
From the question, we have the following parameters
[tex]M = 45[/tex] -- Mathematics
[tex]M\ n\ E =15[/tex] -- Mathematics and English
[tex]M\ n\ P =13[/tex] -- Mathematics and Psychology
[tex]E\ n\ P =16[/tex] -- English and Psychology
[tex]P=20[/tex] -- Psychology
[tex]All = 9[/tex] -- All 3 subjects
[tex]Total = 80[/tex] -- All students
The number of students that are good at mathematics only is as follows:
First, we calculate those that are good at mathematics and English only
[tex](M\ n\ E)' = M\ n\ E - All[/tex]
[tex](M\ n\ E)' = 15 - 9 = 6[/tex]
Then those that are good at mathematics and psychology only
[tex](M\ n\ P)' = M\ n\ P - All[/tex]
[tex](M\ n\ P)' = 13 - 9 = 4[/tex]
So, the students that are good at mathematics only are:
[tex]M' = M - (M\ n\ E)' -(M\ n\ P)' - All[/tex]
[tex]M' = 45 - 6 -4 -9[/tex]
[tex]M' = 26[/tex]
Hence, 26 students are good at Mathematics only.
To calculate the number of students that are not good in any of the subjects, we make use of the complement rule
[tex]A + A' = Total[/tex]
Where:
[tex]A \to[/tex] Students that are not good in any
[tex]A' \to[/tex] Students that are good in at least one
So, we have:
[tex]A' =M' + (M\ n\ E)' + (M\ n\ P)' + (E\ n\ P)' + All[/tex]
Where:
[tex](E\ n\ P) = (E\ n\ P)' - All[/tex]
[tex](E\ n\ P) = 16-9 = 7[/tex]
The equation becomes:
[tex]A' =26 + 6 + 4+7+9[/tex]
[tex]A' =52[/tex]
Recall that:
[tex]A + A' = Total[/tex]
[tex]A = Total - A'[/tex]
[tex]A = 80 - 52[/tex]
[tex]A = 28[/tex]
Hence, 28 students are not good at all.
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I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.
[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]
I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]
After this I can't seem to progress.
After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives
[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]
Then taking differentials, you get
[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]
Replacing everything in the original integral then gives
[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]
Split up the integrand into partial fractions:
[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]
so that
[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]
A total of 574 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 more student tickets sold than adult tickets. How many adult tickets were sold?
411 is not correct
The answer is: 250 adult tickets were sold.
To be safe, prove that your answer is correct.
If there are 74 more student tickets than adult tickets, the amount of adult tickets must obviously be less.
Explanation:
74 more than 250, or 250+74 is 324.
250+324=574.
Now, you know the answer is correct. It satisfies all of the given conditions.
Also, note that the difference between the number of student tickets and adult tickets is 74.
So, there are 250 adult tickets and 324 student tickets.
4. In a class of 35 students, 20 offer Physics,
18 offer Chemistry and 2 offer neither
Physics nor Chemistry
1) Illustrate the information on a Venn
diagram
il) How many students offer all the two
subjects?
1) How many students offer Physics!
1) How many students offer only one
subject
5 students offers all the two subjects.
Student that offers Physic only = 15 students
Student that offers chemistry only = 13 students
Students that offers only one subject = 28 students
How to solve a Venn diagram?Total student in the class = 35
20 offer physics.
18 offer chemistry
2 offer neither physics nor chemistry.
Therefore,
x = student that offer both subject
35 = 20 + 18 - x + 2
35 - 2 - 20 - 18 = -x
-5 = -x
x = 5
Therefore, 5 students offers all the two subjects.
Student that offers Physic only = 20 - 5 = 15
Student that offers chemistry only = 18 - 5 = 13
Students that offers only one subject = 13 + 15 = 28
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PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.
Answer:
Solution given:
Equation of line is:
y=-⅔x
comparing above equation with
y=mx+c
we get
m=-⅔
So
slope is -⅔Answer:
slope is -2/3
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition.
The statment above is y = -2/3x + 0
So -2/3 is slope or m.value
Hope that help :D
1. If a = -1 , the value of3a + 1 is
Answer:
[tex]f(a) = 3a + 1 \\ Now,\: a = - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) = - 3 + 1 \\ \boxed{ f( - 1) = - 2}[/tex]
Therefore, -2 is the right answer.If X= 9 and Y = 3, what is XY
Answer:
The most basic question I have ever seen lol
XY = 9*3 = 27
Jace recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 11
Bass 14
Drums 11
Keyboard 14
Eighth Grade Students
Instrument # of Students
Guitar 13
Bass 13
Drums 8
Keyboard 3
Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than bass as a percent to the nearest whole number.
Please give this in steps
Answer:
(x - y)²
Step-by-step explanation:
Given
(x + y)² - 4xy
= x² + 2xy + y² - 4xy
= x² - 2xy + y²
= (x - y)²
Answer:
[tex] {(x + y)}^{2} - 4xy = {x}^{2} + 2xy + {y}^{2} - 4xy \\ = {x}^{2} - 2xy + {y}^{2} \\ = {(x - y)}^{2} \\ thank \: you[/tex]