Answer: 2m^2n^3 x ( -5m^2 + 4n^2 -3n^2 )
Step-by-step explanation:
ok, so just let me, uh, make this a little easier on my eyes lol:
-10m^4n^3+8m^2n^6-6m^2n^6 ----> (-10m^4)(n^3) + (8m^2)(n^6) - (6m^2)(n^6)
I just put in parentheses. nothing changed. just parentheses.
Since the leading coefficients, -10 , 8 , and 6 are multiples of two,
we can take out 2 from each... [-10/2 = 5 , 8/2 = 4 , 6/2 = 3 ]
= 2 x [ (-5m^4)(n^3) + (4m^2)(n^6) - (3m^2)(n^6) ]
Looking at it now...
we can take out m^2 from each... m^4 , m^2 , and m^2
m^2 [m^2 , 1 , 1]
since m^4 /m^2 = m^2 , m^2 /m^2 = 1 , m^2 /m^2 = 1
= 2(m^2) x [ (-5m^2)(n^3) + (4x1)(n^6) - (3x1)(n^6) ]
= 2(m^2) x [ (-5m^2)(n^3) + (4)(n^6) - (3)(n^6) ]
Finally, one more step...
we can take out n^3 from each term.... n^3 , n^6 , and n^6
n^3 [1 , n^2 , n^2] since n^3 /n^3 = 1 , n^6 /n^3 = n^2 , n^6 /n^3 = n^2
= 2(m^2)(n^3) [ (-5m^2)(1) + (4)(n^2) - (3)(n^2) ]
= 2m^2n^3 x [ (-5m^2) + (4n^2) - (3n^2) ]
= 2m^2n^3 x ( -5m^2 + 4n^2 -3n^2 )
ANSWER: 2m^2n^3 x ( -5m^2 + 4n^2 -3n^2 )
keep this parentheses. seriously.
What is the surface area? I got 562 inches squared
Answer:
Yep, it’s 562 in²
Step-by-step explanation:
15x8=120 (two of them)
15x7=105 (two of them)
8x7=56 (two of them)
120+120+105+105+56+56=562 in²
HEY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a) = 14, because we solve the absolute value first, making it 9 + 5.
b) = 4, because we solve -9 + 5 first, which equals -4, then we solve the absolute value which is 4.
Answer:
a
b
Step-by-step explanation:
what is 2+6x=28 pleas i need urgent help
Answer:
x=4.3
Step-by-step explanation:
2+6x=28
-2
6x=26/6
Michael and his family
brought some logs of
firewood with them on
their camping trip. The
first night, they burned
2 logs in the fire. The
second night, they
burned 3 logs in the
fire.
The slope of the line passing through ( – 5,0) and ( – 4, y) is - 1. What is the value of y?
Answer:
[tex]y = -1[/tex]
Step-by-step explanation:
Given
Points: (-5,0) and (-4, y)
Slope: [tex]m = -1[/tex]
Required
Find y
The slope (m) of a line is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]-1 = \frac{y - 0}{-4 - (-5)}[/tex]
[tex]-1 = \frac{y }{-4 +5}[/tex]
[tex]-1 = \frac{y }{1}[/tex]
[tex]-1= y[/tex]
[tex]y = -1[/tex]
actor 14x+7y using the GCF.
Answer:
so to factor out you find the greatest common factor of 14 and 7
if you have 2x-2 then you can factor out the 2 and get 2(x-1)
7=7*1
14=2*7
the greatest common factor is 7
14x-7=7(2x-1)
An athlete runs 6 miles in 1 hour on a treadmill. At this rate, how long will it
take the athlete to run 15 miles?
Answer:
150 minutes
Step-by-step explanation:
Answer:
2 hours and 30 minutes
Step-by-step explanation:
So if he runs for 2 hours it'll be 12 hours out of the 15, and if he only needs 3 more hours instead of 6, he'd have to only run half of the 6 hours, which would be 30 minutes
PLEASE HELP MEEEEEEEEEEEEEEEE
Answer:
89
Step-by-step explanation:
Answer: 89 metres squared
Step-by-step explanation:
large area = 13 x 8 = 104
small area = 5 x 3 = 15
104 - 15 = 89
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
m = 50
b = 45
y = 50x + 45
Proportional
Positive slope
Lmk if you want me to explain :)
Answer:
m=50, b=45, Equation: y = 50x + 45, Proportional, and Positive Slope
Find c.
Round to the nearest tenth:
2 cm
с
150
1050
a
c = [? ]cm
Law of Sines: sin A
sin B
b
sin C
С
a
Enter
========================================================
Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
--------------------------
We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
9514 1404 393
Answer:
0.5 cm
Step-by-step explanation:
The Law of Sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B)
c = (2 cm)sin(15°)/sin(105°) ≈ (2 cm)(0.2588/0.9659) ≈ 0.5359 cm
c ≈ 0.5 cm . . . . rounded to tenths
Mhanifa please help me with this! I will mark brainliest! Please hurry before I get a bunch of random answers! I would really appreciate it! Random answers will be reported
Answer:
1. C. Reflexive property, SSS2. A. ASA postulateStep-by-step explanation:
Question 1Blank 3 = Reflexive propertyBlank 4 = SSSCorrect choice is C
Question 2Blank 6 = ASACorrect choice is A
Use 3.14 for Pi. *Answer choices may be rounded.* 5 points 1. 15 cm 7.5 cm 176.6 706.5 1324.7 5298.8
Answer:
C. 1324.7 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
π = 3.14
radius (r) = ½ of 15 = 7.5 cm
Height (h) = 7.5 cm
Plug in the values
Volume = 3.14*7.5²*7.5 = 1324.7 cm³
A triangle has a perimeter of 112 cm. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.
Answer:
Two sides have a measure of 48 cm and the shortest side is 16 cm.
Step-by-step explanation:
this is an isosceles triangle
let x = length of shortest side
let 3x = length of other two sides
find x:
3x + 3x + x = 112
7x = 112
x = 16
3x = 48
Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)
Buttercup starts with $10 in her savings account and adds $20 per week (y=10+20x)
After how many weeks will they have the same amount of money?
Answer:
After 5 weeks.
Step-by-step explanation:
Westley starts with $85 and saves $5 per week. So:
[tex]y=85+5x[/tex]
Buttercup starts with $10 and saves $20 per week. So:
[tex]y=10+20x[/tex]
When they have the same amount of money, the two equations will be equal to each other. Therefore:
[tex]85+5x=10+20x[/tex]
Solve for x. Subtract 10 from both sides:
[tex]75+5x=20x[/tex]
Subtract 5x from both sides:
[tex]75=15x[/tex]
Divide both sides by 15:
[tex]x=5[/tex]
Westley and Buttercup will have the same amount of money after 5 weeks.
please help me thank you
Answer:
Step-by-step explanation:
11/77=x/21
x=3
Select the equivalent expression . (2^ -4 * z^ -3 )^ 5 =?
Step-by-step explanation:
The option is C
= 1/ 2^20 • z^15
Hope it will help :)
The equivalent expression of [tex](2^ {-4} * z^ {-3} )^ 5[/tex] will be [tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex], i.e. option C is the correct answer.
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context. An expression is a combination of numbers, variables, or a combination of numbers and variables, and symbols and it is connected by the sign of equal.
We have,
(2⁻⁴ × z⁻³)⁵ = ?
Now,
Using the exponent rule,
i.e.
(aⁿ)ᵇ = aⁿ ˣ ᵇ = aⁿᵇ
So,
(2⁻⁴ × z⁻³)⁵
i.e.
On solving,
We get,
(2⁻²⁰ × z⁻¹⁵)
Now,
Rewrite the above expression,
Using the exponent rule,
i.e.
[tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex]
So,
(2⁻⁴ × z⁻³)⁵ = [tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex]
I.e.
Option C is the correct answer for the expression (2⁻⁴ × z⁻³)⁵.
Hence, we can say that the equivalent expression of [tex](2^ {-4} * z^ {-3} )^ 5[/tex] will be [tex]\frac{1}{(2^ {20} * z^ {15} )}[/tex], i.e. option C is the correct answer.
To know more about expression click here
https://brainly.com/question/20055044
#SPJ2
I need this please help
Solve the problem. Check answers to be sure they are reasonable.
A 10-gal aquarium is 4 in. higher than it is wide. Its length is 17 in., and its volume is 4284 in.^3. What are the height and width of the aquarium?
Answer:
[tex]W = 18[/tex] -- Width
[tex]H = 14[/tex] --- Height
Step-by-step explanation:
Given
[tex]V = 4284[/tex] -- Volume
[tex]L = 17[/tex] -- Length
[tex]H = ??[/tex] -- Height
[tex]W = 4 + H[/tex] -- Width
Required:
Find the height and the width
Volume is calculated as:
[tex]V = LWH[/tex]
This gives:
[tex]4284 = 17 * (4+H) * H[/tex]
[tex]4284 = 17 * (4H+H^2)[/tex]
Open bracket
[tex]4284 = 17 * 4H+17*H^2[/tex]
[tex]4284 = 68H+17H^2[/tex]
Divide through by 17
[tex]252 = 4H+H^2[/tex]
Write as a quadratic expression
[tex]H^2 + 4H - 252 = 0[/tex]
Expand
[tex]H^2 + 18H - 14H - 252 = 0[/tex]
Factorize:
[tex]H(H + 18) - 14(H + 18) = 0[/tex]
Factor out H + 18
[tex](H - 14)(H + 18) = 0[/tex]
[tex]H -14 = 0[/tex] or [tex]H + 18 = 0[/tex]
[tex]H = 14[/tex] or [tex]H = -18[/tex]
But Height can not be negative. So:
[tex]H = 14[/tex]
Recall that:
[tex]W = 4 + H[/tex]
[tex]W = 4 + 14[/tex]
[tex]W = 18[/tex]
If Mrs. Maiers buys 24 stickers, is the cost of each sticker more then or less then 0.50
PLZ HELP ME ON THIS!!!!!!
Answer: 60
Step-by-step explanation:
Answer: the original jacket is 60$
Step-by-step explanation:
x -18$ = 30%
therefore 36 off would be 60% off
so to get 30% to 100 % you need to multiply it by 3 1/3
18*3 1/3 = is 60
Hope this helps! <3
Solve help? That's it really.
Answer:
1).00390625
2).216
3).0231481481481
Step-by-step explanation:
Which statement best justifies whether (x – 3) is a factor of the polynomial p(x) = x - 3x? - 2x - 6?
Answer:
It is not a factor
Step-by-step explanation:
It is because p(x)=-12 at x=3
Simplify.
6v^8y^-7vw^6 • 2w^-4 • 8y^6
Use only positive exponents in your answer
Answer:
96v^9·y^-1·w^2 = 96v^w²/y
Step-by-step explanation:
multiply coefficients, add exponents
(6)(2)(8) = 96
v^8·v = v^9
y^-7·y^6 = y^-1
w^6·w^-4 = w²
Answer:
[tex]\frac{96v^9w^2}{y}[/tex]
Brainliest Pls
5x/8x^2+5x
Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions".
Answer:
[tex]x\neq 0[/tex]
Step-by-step explanation:
Dividing by 0 is undefined, hence not allowed.
The denominator of the first term contains x^2.
Hence 0 is not allowed.
Professor Rosencrantz flips a fair coin twice. Professor Guildenstern flips a fair coin thrice. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern
Can someone please help with this question
Answer:
Domain: [-4,2]
Range: [2,4]
Step-by-step explanation:
Domain: [-4,2]
Range: [2,4]
help click the down load
Answer:
what is that i dont know what that is it looks horrible
Step-by-step explanation:
Answer:
we can't download
Step-by-step explanation:
Prove that if x and y are rational then their product is also rational. First write a proof on your own and then put the following statements into order to obtain the proof. Put N next to the statements that should not be used in the proof. 1. Then, xy=acbd . 2. Suppose x and y are arbitrary rational numbers. 3. Since a, c are integers, e=ac is also an integer.
Answer:
Step-by-step explanation:
The aim of this question is to prove that the product of two rationals is rational.
To proof:
If [tex]\mathbf{x \ and \ y}[/tex] are arbitrary rational numbers.
Thus, going by the definition of rational, there exist integers
a, b, ≠ 0, c, and d ≠ 0 ; [tex]x = \dfrac{a}{b} \ and \ y = \dfrac{c}{d}[/tex]
Hence, [tex]xy = (\dfrac{a}{b})(\dfrac{c}{d}) = \dfrac{ac}{bd}[/tex]
Since a and c are integers, then e = ac appears to be an integer as well.
Also, provided that b and d are non-zero integers;
f =bd appears to be a non-zero integer.
Therefore, [tex]xy = \dfrac{e}{f}[/tex], and going by the definition of rational, xy is rational.
Hence, from the complete question:
The order of the statement is:
7,6,3,5,2,4
The statements that should not be used in the proof are:
1 N
8 N
9 N
10 N
11 N
The sum of two numbers is 107, the difference is 51. Find the numbers.
Answer : The numbers are
Answer:
The answer is 56.
Others are 50 + 57 = 107, 44 + 63 = 107, and 39,68
Step-by-step explanation:
107-51 = 56
1/3 of 9
1/3 of 3
1/3 of 18
1/3 of 300
1/3 of 24
Step-by-step explanation:
3
1
6
100
8
They are the answers
Answer:
I will 2 of the problems and you can do the 3. If you need help then I am here, but try some on your own too. I will do :-
1/3 of 9
1/3 of 24
Hope this helps, thank you :) !!