Answer: (4y-9z)( 16y^2 + 36yz + 81z^2 )
=======================================================
Explanation:
We'll use the difference of cubes factoring rule
a^3 - b^3 = (a-b)(a^2+ab+b^2)
In this case,
a^3 = 64y^3 which leads to a = 4yb^3 = 729z^3 which leads to b = 9zSo,
a^3 - b^3 = (a-b)(a^2+ab+b^2)
64y^3 - 729z^3 = (4y-9z)( (4y)^2 + (4y)(9z) + (9z)^2 )
64y^3 - 729z^3 = (4y-9z)( 16y^2 + 36yz + 81z^2 )
convert into like fraction and arrange in ascending order
a)7/8 and 9/10
b) 1/2, 3/4,6/8
Answer:
a) 35/40, 36/40
b) 4/8, 6/8, 6/8
Step-by-step explanation:
In order to convert into like fractions, we must find a common denominator for both.
This just means finding the LCM of the existing denominators.
To find the LCM, list the prime factorization of each number, and multiply each factor together the maximum amount of times it appears in one factor.
Then figure out what you need to multiply the existing denominator by to get the common denominator, and multiply that number to the numerator as well.
Note that multiplying a fraction by x/x won't change the value because x/x is equal to 1.
If this sounds confusing- don't worry- it'll become more clear in the work below.
a) 7/8 and 9/10
Start by finding the LCM of 8 and 10
Prime factorization:
8- 2*2*2
10- 2*5
Multiple: 2*2*2*2*5
However, 2 appears in 10 once and 8 three times.
So we can cross out one "2" since the maximum amount of times it appears is three times, not four.
Hence the LCM is 2*2*2*5=40
40 will be the common denominator.
To get to 40 from 8, you need to multiply it by 5.
So we can do:
7/8*5/5=35/40
Repeat with the second fraction.
To get to 40 from 10, you need to multiply it by 4.
So we can do:
9/10*4/4=36/40
36/40>35/40
Therefore, the ascending order would be
35/40, 36/40 or 7/8, 9/10
b) 1/2, 3/4, 6,8
Start by finding the LCM of 2, 4 and 8.
Prime Factorization:
2: 2
4: 2*2
8: 2*2*2
Since 2 appears a maximum of 3 times in one number the LCM is:
2*2*2=8
So our common denominator will be 8.
To get to 8 from 2, you need to multiply it by 4.
1/2*4/4=4/8
To get to 8 from 4, you need to multiply it by 2.
3/4*2/2=6/8
The last fraction is already good.
6/8
Hence, the ascending order would be:
4/8, 6/8, 6/8 or 1/2, 3/4, 6/8
Hope that helps! Let me know if you have any questions :)
Pre calc homework online
Answer:
Step-by-step explanation:
t = [tex]cos^{-1} (\frac{3}{5})[/tex]
t ≈ 53°
cos t = cos (- t) = [tex]\frac{3}{5}[/tex]
sec ( [tex]\pi[/tex] + t ) = - [tex]\frac{5}{3}[/tex]
Simplify the square root. Please explain
Answer:
4/5
Step-by-step explanation:
Square of 1: 1*1=1
Square of 2: 2*2=4
Square of 3: 3*3=9
Square of 4: 4*4=16
Square of 5: 5*5=25
Square of 6: 6*6=36
Square of 7: 7*7=49
Square of 8: 8*8=64
Square of 9: 9*9=81
Square of 10: 10*10=100
Those are the basics.
I hope this helps!
pls ❤ and give brainliest pls
Answer:
[tex] \large{ \tt{❊ \: S \: O \: L \: U \: T \: I \: O \: N \:❊ }}[/tex]
[tex] \underline{\large{ \tt{۵ \: S \: T \: E \: P \: S} }} : [/tex]
[tex] \large{ \tt{❁ \: \sqrt{ \frac{16}{25} }→\sqrt{ \frac{ {4}^{2} }{ {5}^{2} } }→ \sqrt{ (\frac{4}{5} ) ^{2} } → (\frac{4}{5} )}^{ \frac{2}{2} } → \boxed{ \tt{ \frac{4}{5} }}} [/tex]
[tex] \boxed{ \boxed{ \tt{⤳ \: OUR \: FINAL \: ANSWER : \boxed{ \frac{4}{5} }}}}[/tex]
Hope this helps! Let me know if you have any questions regarding my answer and also notify me , if you need any help! :)Tìm x biết: x+5x^2=0
x+1=(x+1)^2
Answer:
what type of question is this?
A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?
4(3−y)=6−2(1−3y) Enter your answer in the box. y=
Answer:
12-4y=4-12y
8y=-8
y=-1
Answer:
y= 0.8
Step-by-step explanation
4(3−y) = 6−2(1−3y)
12−4y = 6−2(1−3y)
12−4y = 6−2+6y
12−4y = 4+6y
12 = 4+10y
8 = 10y
0.8 = y
This is correct i just took the test. I hope this helps :)
If 2(3x - 2)=26 then x = ?
Step-by-step explanation:
6x-4=26
6x=26+4
x=30/6
x=5
Answer:
x=5
Step-by-step explanation:
26÷2=13
13+2=15
15÷3=5
10-7+12 dived (2^3-6) hope you can answer
Answer:
The answer is 7.5
pls help me do this best answer will be marked as brainliest
Answer:
A
Step-by-step explanation:
The number is being halved each time; half of 18 is nine, half of nine is 4 1/2 etc.
Answer:
A
Step-by-step explanation:
multiply 9 and 2 1/4 by 2
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
Determine the absolute value
Answer:
64000
Step-by-step explanation:
The absolute value is the non-negative number
|64000| = 64000
solve the diagram below
Answer:
x=45
Step-by-step explanation:
straight line=180°
2x+x=3x
180-45=135
135/3=45
x=45
Find the volume of this solid.
Answer:
C
Step-by-step explanation:
1/2(10*7)*13
1/2(70)*13
35*13=455
Can anyone help me with this please and maybe explain it?..
Q. A factory uses 800 watts of electricity in 40 minutes. How many watts does it uses in 3 hours?
Answer:
3600 i think
Step-by-step explanation:
Which number has the greatest value?
A) 12.2
B) 12.25
C) 12.5
D) 12.52
Answer:
The answer is letter D, 12.52
what is x 4 +7x 2 +10
Answer:
[tex]\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
Step-by-step explanation:
[tex]x^4+7x^2+10:\quad \left(x^2+2\right)\left(x^2+5\right)[/tex]
You are offered two jobs. One with a yearly salary of $51,592, and the other an hourly
job with a rate of $27 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Pls only answer if you know the correct answer! Thanks! :))
Answer:
(3,5)
Step-by-step explanation:
The y axis is the vertical line
Reflection means it is reflected off of. So if the point was ink, and you folded the paper in half vertically, you would have another dot of ink at the points (3,5)
Will Mark Brainlest Help pls
Answer:
can you snap it again it's not clear
how many letters in the english alphabet preeced the letter v?
Answer:
21 letters
Step-by-step explanation:
A, B, C, D, E, F, G, H, I, J, K, L, M, NO, P, Q, R, S, T, U
Ratio: the ratio of men to women working for a company is 4 to 3. If there are 196 employees in total, how many are women?
Answer:
84 women
Step-by-step explanation:
Using Algebra, we can apply the ratio of men and women, 4 and 3, in a format that can be used in an equation.
4x = men and the unknown variable that will solve the amount of men
3x = women and the unknown variable that will solve the amount of women
Now, we will use the other provided piece which is the total amount of employees, and we will put together an equation!
4x + 3x = 196
We will use this equation to solve for X by the process of addition and division.
4x + 3x = 196
7x = 196
196 ÷ 7 = 28
x = 28
Now we will use this variable and apply it for x to find the number of women.
3 x 28 = 84 women!
Checking the answer:
4 x 28 = 112 men
84 + 112 = 196
Therefore, this answer checks out.
Item 4
Ellie has 20 books on her shelf. Four of these books are nonfiction, and the rest are fiction.
What is the ratio of fiction books to nonfiction books on the shelf?
5:4
5:1
4:1
I don't know.
Answer:4:1 just taking to test as soon as you
Step-by-step explanation:
The ratio of fiction books to nonfiction books on the shelf is, 4
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Ellie has 20 books on her shelf
Four of these books are nonfiction
The rest are fiction
The ratio of fiction books to nonfiction books on the shelf = ?
The number of fiction books = ?
The number of fiction books = 20 - 4
= 16
Ratio = fiction/nonfiction
= 16/4
= 4
Hence, the ratio is 4
To know more about Ratio check:
https://brainly.in/question/7996583
#SPJ2
a lone segment has ______ endpoints.
1) three
2)two
3)zero
4)one
Answer:
2) twoStep-by-step explanation:
A line segment forms when it has two end points
Answer:
Two
Step-by-step explanation:
A segment has two endpoints, since it is not connected to anything. Hopefully this image can help you understand the types of lines there are in mathematics.
Hope this helped.
Evaluate the expression
Answer:
Is -15
Step-by-step explanation:
A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
PLZ help i will give brainly to whoever wants it.
Answer:
30
Step-by-step explanation:
45+45 = 90
150-90 = 60
60/2 = 30
I think...
m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?
Answer:
height of tree is 27 ft
Step-by-step explanation:
The corresponding parts of the problem are in proportion
let h be the height of the tree , then
[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )
7h = 189 ( divide both sides by 7 )
h = 27
Height of tree is 27 feet
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.
Answer:
Hello,
Step-by-step explanation:
[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]
One other way:
Let say x=1.272727...
100x=127.272727...
x=1.272727...
99x=126
x=126/99
x=14/11
A father's age now is three times the age that his son was 4 years ago. In 12 years, the father will be twice as old as his son. find their ages now.
Answer:
the dad is 60 im not sure about the son
Step-by-step explanation:
(1,-2),(-2,-5) find the slope and show me how u got it please
Answer:
where m= slope m= -7/3
Step-by-step explanation:
