Answer:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]
Required
Solve
Express [tex]x^2-4[/tex] as difference of two squares
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Factorize [tex]x^4 - 2x^3[/tex]
[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Cancel out x - 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]
Expand [tex]x^2 - 3x - 10[/tex]
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]
Factorize:
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]
Factor out x + 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]
Cancel out x - 5 and x + 2
[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]
[tex]\frac{1}{x^3}\cdot 1[/tex]
[tex]\frac{1}{x^3}[/tex]
Hence:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Which of the following represents a translation if the figure?
A.
B.
C.
D.
Answer:
b
Step-by-step explanation:
a translation is when it looks exactly the same but is on the other side of the line
How does the mean compare to the median? How do the values of 7 and 9 affect these measures of center?
Sorry I suck at taking pictures, and math apparently.
Answer:Bueno, normalmente en los artículos semanales intento transmitir dudas o cuestiones que están en el campo, los trending topics del sector porcino, y está claro que la estadística no es uno de ellos, pero precisamente ayer se dio una situación que me llevó a escribir ésta entrada.
Todos los que trabajamos en el sector porcino estamos acostumbrados a manejar y calcular un montón de datos que nos proporciona el programa de gestión, y en muchas ocasiones realizamos pequeñas (o grandes) pruebas, donde manejamos infinidad de números (pesos, GMD, IC etc…)
Lo que sí es cierto, es que la mayoría de nosotros usamos siempre la media como herramienta fundamental. Media de Nacidos vivos, Media de destetados, Media de peso al nacer, media de peso al destete…..media, media, media…y ¿qué tal si usáramos la Mediana?
Éste fue el debate que tuve ayer con un ingeniero agrónomo (si, si, y yo Veterinaria, diversión asegurada), y el que me ha inspirados para hoy.
Para el que, en estos momentos, esté rebuscando en los archivos de su cerebro, “yo esto lo sabía”, un pequeño recordatorio:
La media o promedio, Se interpreta como “punto de equilibrio” o “centro de masas del conjunto de datos. Es un cálculo muy sencillo en el que intervienen todos los datos. Consiste en el sumatorio de todos los datos dividido por el número de valoresLa mediana, en cambio, es un valor de la variable que deja por debajo de sí a la mitad de los datos, y por encima, la otra mitad.( una vez que estos están ordenados de menor a mayor). Se sitúa, por lo tanto, en la mitad real de los datos.
Es mucho más difícil de calcular:
Con un ejemplo se entiende muchísimo mejor.
Imaginaos una empresa en la que la mayoría de los trabajadores tienen un sueldo de 1000 euros, excepto 2 encargados que cobran 2000 y el jefe que cobra 6000 euros mensuales.
¿Cuál es el salario medio de la empresa?
Si vemos la media sale casi 2000 euros, si miramos la mediana, nos da 1000.
¿Cuál se aproxima más a la realidad?
Cuando los datos son muy homogéneos la media nos da un valor representativo de la realidad, pero cuando los datos son muy heterogéneos no.
Un ejemplo más cercano a nosotros
Queremos saber el peso de los lechones a destete. Imaginemos que la camada A tiene los siguientes pesos: (4-3-5-4.5-6.1-5-3-5.1-6.4-6-6.5-5.5-4.9).
Step-by-step explanatio
find rational numbers between -3/2 and 5/3
Answer:
Five rational numbers between -5/3 and -8/7 are- Read more on Sarthaks.com - https://www.sarthaks.com/830151/find-five-rational-numbers-between-5-3and-8-7
Step-by-step explanation:
what expression is equivalent to 3(7x-z+5)
Solve cos(theta)>sqrt3/2 for 0
Step-by-step explanation:
If you put some quantities for theta, you reach to B option
Find the area of each sector. Round your answer to nearest tenth
Answer:
area of 150° segment = 188.5 km²
Step-by-step explanation:
area of full circle = πr² = (3.14)(12²) = 452.16 km²
area of segment = (150°/360°)(452.16) = 188.5 km²
the area of each sector is C
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:i think is the fourth one or the fifth one.
Step-by-step explanation:
Answer:
california
Step-by-step explanation:
HELPP ME PLLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
d
Step-by-step explanation:
thats just the anwser
What is the volume, in cubic centimeters, of a rectangular prism with a height of 7 centimeters, a width of 6 centimeters, and a length of 14 centimeters?
Answer:
588
Step-by-step explanation:
multiply length x width x height 7×6×14
Step-by-step explanation:
multiply 7,6,14
=588
therefore the answer in cubic centimeters is= 588
Expand.
Your answer should be a polynomial in standard form.
(7g+2)(5g+4)=
Answer:
35g^2 +38g +8
Step-by-step explanation:
PLEASE HELP ASAP!!! 10 points!!!!
Answer: y=-1/2x+2/3
Hope this helps! attached the image
What is the sum of an 8 term geometric series if the first term is -11 and the last term is 859,375 and the common ratio is -5
Answer:716,144
Step-by-step explanation:
Given
No of the terms in GP [tex]n=8[/tex]
First-term [tex]a=-11[/tex]
last term [tex]a_n=859,375\quad (ar^{n-1})[/tex]
Common ratio [tex]r=-5[/tex]
The Sum of a GP is given by
[tex]S_n=\dfrac{a(1-r^n)}{1-r}\quad \quad [r<1][/tex]
Put the values
[tex]\Rightarrow S_n=\dfrac{-11(1-(-5)^8)}{1-(-5)}\\\\\Rightarrow S_n=\dfrac{-11\times -390624}{6}\\\\\Rightarrow S_n=\dfrac{42,96,864}{6}=716,144[/tex]
Answer this and i will thank you
Answer:
Answer what? a question needs to be posted.
Step-by-step explanation:
*answer will be updated*
Answer:
24 si efil rewsna eht
Step-by-step explanation:
The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is.
Divisors: 1, 2, 3, 6, 7, 14, 21, 42
Ordinal: 42nd; (forty-second)
Cardinal: forty-two
Binary: 1010102
I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?
Answer:
0.625 62.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dividing 5 by 8 on a calculator results in the "equivalent decimal:"
5/8 = 0.625
0.625 converts to 62.5%: a percent
5/8 is a proper fraction
Length times width is the formula for what quadrilateral?
O rhombus
trapezoid
O rectangle
square
Previous
Answer:
area of rectangle and square
simplify the expression below using the distributive property:
4x - 2(x + 5)
Answer:
It is 2x-10
Step-by-step explanation:
It is 2x-10 because when you are doing this you want to try to get the x alone but in this case it is not dertinable
At a school picnic, 80 students ordered hot dogs and 63 hamburgers. Of those, 14 students ordered both a hot dog and hamburger. If there were 180 students at the picnic, how many students did not offer a hot dog or hamburger
Answer:
The answer should be 37
Step-by-step explanation:
Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?
Answer:
i think its (6,4)
Step-by-step explanation:
What does civic participation include? Check all that apply. cleaning up street litter helping neighbors in trouble paying all taxes on time helping communities in trouble testifying as a witness in court
Answer:
i think it is 1,2,3
Step-by-step explanation:
sorry if im wrong :(
Answer:
ABC
Step-by-step explanation:
edge 2021
please correct me if wrong
The temperature on the moon can vary from -172 to -126 degrees celsius. Find the difference between the maximum and minimum temperatures. Write with explanation PLEASE!!!
Given:
The temperature on the moon can vary from -172 to -126 degrees Celsius.
To find:
The difference between the maximum and minimum temperatures.
Solution:
It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.
Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.
The difference between the maximum and minimum temperatures is:
Difference = Maximum temperature - Minimum temperature
[tex]\text{Difference}=-126-(-172)[/tex]
[tex]\text{Difference}=-126+172[/tex]
[tex]\text{Difference}=46[/tex]
Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.
Hannah is making biscuits. The recipe calls for 2/3 cup of flour to make 4 biscuits. What is the unit rate for cups of flour per biscuit.
Answer:
2.6
Step-by-step explanation:
2/3 x 4 = 2.6
A brick wall is to form one side of a rectangular garden and three other sides me to be done by 40
feet of fencing Find the largest area the garden can have.
Answer:
80 probaly
Step-by-step explanation:
how many solutions does each system of equation have?? explain how you know without solving the system
Answer:
no solution
Step-by-step explanation:
the x value in a linear equation in slope intercept form represents the slope of the line, since both equations int the system have the same slope there is no solution.
Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? Write your answer as a reduced fraction.
Answer:
473/570
Step-by-step explanation:
No. of male = 365
No. of female = 570-365 = 205
No. of male with brown hair = 260
No. of female with brown hair = 108
the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]
Answer:
Around 83% 473/ 570
Step-by-step explanation:
365 males + 108 females with brown hair = 473
Divide the number of outcomes desired by the total number of outcomes 473/570 = 0.829824....... = 82.98.....%
everyone do me a favor and nominate "thebecks" as the educator of th.e year!
Answer:
will do
Step-by-step explanation:
and hello friend lol :)
Answer:
imma bout to answer my own question
Step-by-step explanation:
PLEASE HELP VERY IMPORTANT
Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
V(t) = P*r^t, V- future value, P- present value, r- rate, t- timeIn terms of this question:
m·n¹⁰ is the correct choiceJaved downloaded from the Internet two files that had a combined size of 696 megabytes. The size of the first file was 290 megabytes, and it took 5 minutes to download. Assuming that the files downloaded at a constant speed, how long did it take for the second file to download?
Answer:
7 minutes
Step-by-step explanation:
The computation of the time taken for downloading the second file is given below:
Given that
The combined size for both files is 696 megabyres
And, the size of the first file is 290 megabytes
So, the size of the second file is
= 696 - 290
= 406
Now for the first file it took 5 minutes to download
So for the second file, it would took
= 406 × 5 minutes ÷ 290
= 7 minutes
Answer:
7 minutes
Step-by-step explanation:
The computation of the time taken for downloading the second file is given below:
Given that
The combined size for both files is 696 megabyres
And, the size of the first file is 290 megabytes
So, the size of the second file is
= 696 - 290
= 406
Now for the first file it took 5 minutes to download
So for the second file, it would took
= 406 × 5 minutes ÷ 290
= 7 minutes
WILL GIVE BRAINLIEST
5. Find the length of arc in red. Leave answer in terms of pi.
A) 25 pi m
B) 27 pi m
C) 29 pi m
D) 31 pi m