Answer:
[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]
Step-by-step explanation:
Given
[tex]x^3y^6 + 27z^{42[/tex]
Required
Factor
Express both terms as a cube
[tex]x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3[/tex]
Let
[tex]a =(xy^2)[/tex]
[tex]b = (3z^{14})[/tex]
So:
[tex]x^3y^6 + 27z^{42} = a^3 + b^3[/tex]
Using sum of cubes:
[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]
So:
[tex]x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)[/tex]
Substitute in, values of a and b
[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)[/tex]
[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]
Answer:
its d
Step-by-step explanation:
16,000 lb = _______ T
If you are able to help please do! <3 it’s highly appreciated
Answer:
[tex]8[/tex] tons
Step-by-step explanation:
Divide the mass value by 2000, easy.
Answer:
IT'S
7.143 Tons
Step by Step:
For an approximate result,
divide the mass value by 2205
solve the proportion 11/5 = 2/-6
Answer:
They are not equal
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: There is no solution, due to the left and right sides not being equal.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
I NEED HELP!!
This is a another question, I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it on a piece of paper or on your computer don't send me links send me screenshots of your work
Answer:
4x=0
Step-by-step explanation:
it is true
Answer:
left hand side6+2x
6x-6
right hand side
3(2x-2)
6x-6
now
6x-6=6x-6
0=0
it has no Solution
A video camera is priced $299. What will the
price of the video camera be after 6% sales tax?
Answer:
$316.94
Step-by-step explanation:
David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one at a time
without replacement. What is the probability that David will select a dime first and then a penny?
O 0.25
0.3
O 0.2
0.1
Answer:
0.2
Step-by-step explanation:
[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2
HEEELP Chose the correct answer:
Yan is 4 years younger than 3 times the age Lana, and the father of Yan is double the age sum of Yan and Lana. what is the age of the father?
x= Lana
a) 4x-5
b) 8x-5
c) 4x-10
d) 8x-10
Answer:
8x-8
Step-by-step explanation:
if Lana is X year
then that makes Yan 3X-4
the father is twice the sum of their ages
3X-4+X=4X-4
the father being twice
his age should be
8X-8
Como hago para calcular el porcentaje de unos datos agrupados , porfa ayuda no entiendo. osea tipo : tengo que calcular cual es el porcentaje de personas que trabajan que tienen esta edad 31-46 y pues nose si colocar 3%-4% ay no se estoy perdida porfa si entienden lo q trato de decir me ayudaria resto
Answer:
Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.
Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.
Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)
Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.
Podemos relacionar estas cantidades con porcentajes de la siguiente manera:
N = P
T = 100%
Donde P es el porcentaje que queremos calcular.
Si tomamos el cociente de esas dos ecuaciones, obtenemos:
N/T = P/100%
Resolviendo para P obtenemos:
(N/T)*100% = P
El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:
P = (N/T)*100%
Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.
Particularmente decis que no sabes si colocar 3% o 4%.
Lo que podria implicar que tambien quizas tengas un problema de redondeo.
Si tenes un numero como:
3.a%
donde a es un digito entre 0 y 9
si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:
3.a% = 3%
si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:
3.a% = 4%.
Find the numerator of the following sum in its simplest form?
1/2+3/4+5/6+...+511/512=
el numerador será 512 ya que en esta suma el numero mas alto es el 512
What percentage is the fraction equal to? A. 30% B. 20% C. 50% D. 40%
Answer:
B
Step-by-step explanation:
20% is equal to the fraction above
Answer:
its 50%
Step-by-step explanation:
2/4 is 2 of 4 so 2/4 is the half of said number also half is 50% (started babling to look smart)
What are the values of x and y?
Answer:
x=35°
y=145°
Step-by-step explanation:
y=180°-35°=145°
x=35
PLEASE HELPP ASAP!!! (brainly if u help)
A camper on top of a 400 foot cliff is enjoying the view. They look down and see a
bear at an angle 37 degrees. Approximately how far is the bear from the base of the
cliff? (Round your answer to the nearest foot.). REMEMBER THE UNITS
Answer:
301.42 ft from base
Step-by-step explanation:
We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer
What is the slope of the line that passes through the points (-6,3) and (4,8)
A 1/2
B -2
C 2
D -1/2
Answer:
A) 1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-3)/(4-(-6))
m=5/(4+6)
m=5/10
m=1/2
In 2005 there was 1200 rabbits in an island. The population decays at 8%
every year. At this rate how many rabbits will there be in the year 2020?
Find the measure of a positive and a negative angle that are coterminal with each of the given angles:
Complete question is;
Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.
8. θ = -25°
9. θ = -390°
Answer:
8) Negative coterminal angle = -385°
Positive coterminal angle = 335°
9) Negative coterminal angle = -750°
Positive coterminal angle = 330°
Step-by-step explanation:
For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.
Thus;
8) for θ = -25° ;
Negative coterminal angle = -25° - 360° = -385°
Positive coterminal angle = -25° + 360° = 335°
9) For θ = -390° ;
Negative coterminal angle = -390 - 360 = -750°
Positive coterminal angle = -390 + 360 = -30°
Since it's negative, we add 360 again till it's positive.
Thus = -30° + 360 = 330°
I’ll give you brainleist please just help fast
Answer:
It's 76 degrees
Step-by-step explanation:
Thanks for branliest
Answer:
76
Step-by-step explanation:
the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!
Help me please. I’ll mark you as brainlist :)
Answer:
The answer is B, P = 12(1.004)^t
A growth rate of 0.4% means you have to multiply by 1.004
B is the only answer with this number, so B is the correct choice.
SIMPLE SEVENTH GRADE MATH PROBLEM. GOVING BRAINLIEST
Answer:
D is the answer
Step-by-step explanation:
Well 35 dollar one time fee
plus 15 per hour
If used 1 hour 15+35=50
Answer:
A
Step-by-step explanation:
The price of renting a boat goes up 15 per hour, which is the rate of change.
2x-1/2y=1 solve for y
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the volume of the sphere below?
O A. 12pi units3
O B. 27pi units
O C. 36pi units3
D. 81pi units
Answer:
Option C
Step-by-step explanation:
sorry if I'm wrong..
Question 3 of 10
Which statement does not describe the relationship between genes and
inherited traits?
A. Some inherited traits are affected by more than one gene.
B. Individual genes carry the instructions for inherited traits.
C. Inherited traits carry the instructions for individual genes.
D. Some genes influence more than one inherited trait.
C. Inherited traits carry the instructions for individual genes is the statement that does not describe the relationship between genes and inherited traits. Genes carry the instructions for inherited traits, not the other way around.
Which could not be describe as an exponential function?
A. the number of bacteria in a culture that increases 7.3% every hour
B. the amount of a person's salary if he gets a $3,500 raise every year
C. the amount of money in a bank account compounded monthly
please help me
what is the answer for those and if u can’t simplify some please tell me
Answer:
7/16=7/16
8/16=1/2
9/16=9/16
10/16=5/8
11/16= 11/16
12/16=3/4
13/16=13/16
14/16=7/8
Step-by-step explanation:
The ones that didn't change are the ones that cannot be simplified :)
Hi can you Please answer this i will mark brainliest ive been asking for 2 days :( Its Overdue :(
Answer:
f(x)= 1.38x
y= 1.38x
Step-by-step explanation:
basically the cost= 1.38 per pound
you can use cost=1.38x if ur grade level isn't at f(x) yet
<3
Answer:
f(x) = 1.38x
x just stands for a number so depending on how many pounds you get you would times the pounds by 1.38. And f(x) (pronounced "f of x") means that each input has a single output. So if you bought 2 pounds of strawberries, the equation would change to this:
f(2) = 1.38(2)
The x's were just replaced with 2's, see? I wish someone had explained this to me earlier lol
Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?
I need the endear for number six. Will give brainliest for help/answer.
Answer:
f(1) = 2, f(4) = 8
Step-by-step explanation:
f(1) in the interval - 3 < x ≤ 1 , then f(x) = x + 1 , so
f(1) = 1 + 1 = 2
f(4) in the interval 1 < x ≤ 4 , then f(x) = 2x , so
f(4) = 2 × 4 = 8
can someone help my lil sis again.
Answer:
282 + d
Step-by-step explanation:
Number of miles driven by Deandre for week 1 = 282 miles
Number of miles for week 2 = d
Total number of miles driven for two weeks can be expressed as:
(282 + d) miles
What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Determine if the triangle with the given sides is acute, obtuse, or right.
7, 10, 15
Obtuse
Right
I DONT KNOW
Acute
Answer:
It is Acute
Step-by-step explanation:
Solve super fast please
Answer:
x = 8
Steps:
(4x-2) + (17x+14) = 180
4x + 17x -2 + 14) = 180
21x + 12 = 180
21x = 180-12
21x = 168
x = 168/21
x = 8
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
21
Step-by-step explanation: