[tex]:\implies\sf\:\dfrac{4a^3}{a^4+x^4}+\dfrac{8a^7}{x^8-a^8}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3(x^8-a^8)+8a^7(a^4+x^4)}{(a^4+x^4)(x^4-a^4)(x^4+a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3x^8-4a^{11}+8a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3x^8+4a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3(a^8+2a^4x^4+x^8)}{(a^4+x^4)^2(x^4-a^4)}[/tex]
[tex]:\implies\sf\:\dfrac{4a^3\tt{(a^4+x^4)^2}}{{\tt(a^4+x^4)^2}(x^4-a^4)}[/tex]
[tex]:\implies\boxed{\bf{\purple{\dfrac{4a^3}{(x^4-a^4)}}}}[/tex]
help if you’re feeling generous today!! thank youu
Answer:
The answer is option 3Step-by-step explanation:
4x² - 2y
when
x = - 2 and y = - 1
Substitute the values of x and y into the expression and simplify
That's
[tex]4( - 2)^{2} - 2( - 1) \\ = 4(4) + 2 \\ = 16 + 2[/tex]
We have the final answer as
18Hope this helps you
Answer:The answer will be -18 because you are subtracting 2 two times!!
Step-by-step explanation:Simply step by step by step answer Hope this helps!️.
Which other expression has the same value as (-14) - 8
Answer:
(-20)+(-2)
Step-by-step explanation:
(-14) - 8 = -22
(-20) + (-2) = -22
The net force, F newtons, needed to push a block
to the mass, m kg, of the block. When m = 5
F = 49.
(i) Find an equation connecting F and m.
(ii) Find the value of F when m = 14.
(iii) Calculate the value of m when F= 215.6.
(iv) Draw the graph of F against m.
AMSWER
F=m×a
this implies that
a=F/m
a=49/5
a=9.8 m/s^2
(i)F=(m×9.8)N
(ii)F=14×9.8=137.2
(iii)m=F/a
m=215.6/9.8
m=22kg
helppppppppppppppppppppppppppp brainliest!!!
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
r = [tex]\frac{5}{8}[/tex] t - 9 ← is in slope- intercept form
with y- intercept c = - 9
Function 2 has the ordered pair (0, - 9 )
This indicates that when t = 0 , r = - 9
This is the y- intercept at - 9
Thus both functions have the same y- intercept
is -25 irrational or rational
Answer:
Rational
Step-by-step explanation:
Rational numbers are numbers that can be written as a ratio of integers.
-25 can be written as -25 / 1. So it is rational.
4+x= 3(x + 2) - 2x
I really don’t get how to this at all like I really don’t get it I need some help
Answer:
no solution
Step-by-step explanation:
Given
4 + x = 3(x + 2) - 2x ← distribute and simplify right side
4 + x = 3x + 6 - 2x
4 + x = x + 6 ( subtract 4 from both sides )
x = x + 2 ( subtract x from both sides )
0 = 2 ← not possible
This indicates the equation has no solution
R is between Q and S. If
RS = 44.6 and
SQ = 68.4, find QR.
Answer:
23.8
Step-by-step explanation:
To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.
Ben is 6 feet tall. At a certain time of day, Ben's shadow appears on the ground to be 6 feet long. What is the angle of elevation of the sun at this time
Step-by-step explanation:
let us consider the elevation of the sun is x
then
x=6×6
x=36
Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B. Write an expression in terms of r and p.
Answer:
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
Step-by-step explanation:
Given that:
Last Sunday a certain store sold copies of Newspaper A for $1.00 each
A = 1
and copies of Newspaper B for $1.25 each,
B = 1.25
and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.
Then ;
[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex] --- (1)
[tex]p = \dfrac{A}{A+B} \times 100[/tex] --- (2)
From (2)
[tex]A+B = \dfrac{A}{p} \times 100[/tex]
[tex]B = \dfrac{A}{p} \times 100-A[/tex]
[tex]B = \dfrac{A( 100-p)}{p}[/tex]
Substituting the value of B into equation (1), we have:
[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]
[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]
[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]
[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]
multiplying both numerator and denominator by 4; we have
[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]
[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]
--19 - 3x = -2 - 3 (x + 4) = Can someone plsss help me with this problem?
Answer:
-19-3x= -1(x+4).
-19-3x= -5(x+4).
-19-3x= -5x-1.
-19+1= -5x+3x.
-18= -2x.
x=9.
Segment EC bisects segment AD at C. Find the value of “x," AD = 6x - 4 and AC = 4x - 3, and the measure of CD.
Answer: The value of x=1.
Measure of CD =1 unit.
Step-by-step explanation:
Given: Segment EC bisects segment AD at C.
That means , EC divided AD into two equal parts AC and CD,
i.e. [tex]AC=\dfrac{AD}{2}[/tex]
Also it is given that [tex]AD = 6x - 4[/tex] and [tex]AC = 4x - 3.[/tex]
then, we have
[tex]4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1[/tex]
So, the value of x=1.
Now, CD = AC = 4(1)-3 =4-3 =1 unit.
Hence, Measure of CD =1 unit.
Which fraction is equivalent to 5/20
Answer:
1/4
Step-by-step explanation:
You can simplify 5/20 by dividing the numerator and denominator by 5 and getting 1/4
Step-by-step explanation:
The answer is going to be 1/4
Find two numbers between – 1.5 and -1.6
Answer:
-1.51
-1.52
Step-by-step explanation:
Since we need to find a number between -1.6 and -1.5, we need to dive deeper into the decimal.
We need to go to the hundredths place.
find the product of : 0.017 and 10
please type the steps you used to set up the problem and type your steps to solve.
Answer:
0.17
Step-by-step explanation:
0.017 times 10 equals to 0.17
The elevation at Mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between Mt. Everest and the Dead Sea
Help me answer this, please!
Answer: see attachments
Step-by-step explanation:
how many boards,each 2 ft and 8 inches long, can be cut from a board 16 inches long?
Answer: 2
Step-by-step explanation: 16/8=2
help and ill give brainly.. trust me its easy
Answer:
a - right trapezoid
b - isosceles triangle
c - equilateral triangle
d - kite
Answer:
A) [tex]\huge\boxed{Trapezoid }[/tex]
Because of a pair of parallel lines.
B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]
Because of two equal sides.
C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]
Because of three equal sides.
D) [tex]\huge\boxed{Kite}[/tex]
Having 2 pairs of equal adjacent sides.
When I double my number, add four, and then subtract my number and subtract three, I get my number plus one. What is my number bruh?
Answer:
4
Step-by-step explanation:
doubled it equals eight, add four it equals twelve, subtract four it equals eight, subtract three and it equals five.
2x+4-x-3=x+1
x+1=x+1
x=0 or underfined
did i get it correct
Camden is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 5 points. What would be Camden’s test score out of 50 if he got 2 questions wrong? What would be his score if he got x questions wrong
Answer:
1. 40 points2. 50-x pointsStep-by-step explanation:
1. Given that the total number of points is 50
2. Each question is worth 5 points
We can now calculate the number of questions by dividing the total points by the worth of each question
the number of question is = 50/5= 10
hence there are 10 questions available
if he misses 2 questions, which will amount to 10 points his score will be
50-10 = 40 points
Hence if he got x questions wrong his score will be
50-x points
what values of a and b would make shown below have infinitely many solutions aX +6=-3x+b
Answer:
a = -3, b = 6
Step-by-step explanation:
ax + 6 = -3x + b
If a = -3 and b = 6, then the equation would be -3x + 6 = -3x + 6, which would have infinitely many solutions.
If we isolate x, we have (a + 3) x = b - 6. We want the equation to be 0 = 0 for infinitely many solutions, so a has to be -3 and b has to be 6.
Ashley is looking for ways to save some spending money for her senior class trip to Mexico. She has decided to
stop eating chocolate for one whole year and instead save any money she would have spent on chocolate for the
trip. If Ashley typically spends $2.50 a week on chocolate, how much money, not accounting for interest, can she
expect to save for the trip in exactly one year? $|||
Answer:
She would have 130 dollars
Step-by-step explanation:
There are 52 weeks in a year. So multiply 2.50 by 52. She would have 130 dollars.
Ashley can expect to save $130 for the trip in exactly one year.
Ashley decided to stop eating chocolate for one whole year to save some spending money for her senior class trip to Mexico.
The amount Ashley typically spends a week on chocolate = $2.50.
We have to find how much Ashley can save in one year if we can save $2.50 per week.
How many weeks in a year?There are 365 days in a year and we have 7 days in a week.
If we divide 365 by 7 we get,
365 / 7 = 52.14.
which means 52 weeks.
So in one year, we have 52 weeks.
We can write this statement "Ashley typically spends $2.50 a week on chocolate" as :
1 week = $2.50
Multiply by 52 on both sides.
we get,
52 x 1 week = 52 x $2.50
52 weeks = $130
Thus, we can say that in one year Ashley can save around $130 if she saves $2.50 in a week.
Learn more about savings word problem here:
https://brainly.com/question/24647187
#SPJ2
The sum of an AP is 549. Given that the common difference is 3,find
i. The 56th term
ii. The sum of its 32 terms
Step-by-step explanation:
[tex]\red\star[/tex]Given[tex]\blue\star[/tex]sn = 549
[tex]\blue\star[/tex] d = 3
[tex]\star[/tex]Find[tex]\blue\star[/tex]56th term of Ap
[tex]\blue\star[/tex]the sum of 32 tem
Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height.
What is the combined height of the 3 stacked boxes?
18.8 cm
59.4 cm
112.8 cm
169.2 cm
Answer:
169.2cm
Step-by-step explanation:
56.4cm + 56.4= 112.8+ 56.4= 169.2cm
The combined height of the 3 stacked boxes will be 169.2 cm so option (D) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Height of one box = 56.4 cm
So,
Height of two boxes = Height of one box + Height of one box
It means
Height of three boxes = Height of one box + Height of one box + Height of one box
So,
Height of three boxes = 56.4 + 56.4 + 56.4
Height of three boxes = 169.2 cm
Hence "The combined height of the 3 stacked boxes will be 169.2 cm".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
evaluate the expression
Answer:
32
Step-by-step explanation:
We are given the expression:
[tex]\frac{-8(13-37)}{6}[/tex]
and asked to evaluate the expression.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve inside the parentheses first. Subtract 37 from 13.
⇒ 13-37= -24
[tex]\frac{-8(-24 )}{6}[/tex]
Next, multiply -8 and -24.
⇒ -8*-24= 192
[tex]\frac{192}{6}[/tex]
Finally. divide 192 by 6.
⇒ 192/6 = 32
[tex]32[/tex]
When evaluated, the expression -8(13-37)/6 is equal to 32.
subtract - 42 from - 32
Answer:
[tex]\boxed{10}[/tex]
Step-by-step explanation:
-32 - (-42)
→ Remember that 2 minuses cancel to make a plus
-32 + 42 = 10
Answer:
[tex] - 32 - ( - 45) \\ = - 32 + 45 \\ = 10[/tex]
Note :
Minus Minus -(-) = plus (+)
How many solutions does 10 + 5c = 5c
Answer:
No solutions
Step-by-step explanation:
Step 1: Write out equation
10 + 5c = 5c
Step 2: Subtract 5c on both sides
10 + 5c - 5c = 5c - 5c
10 ≠ 0
Since 10 doesn't equal 0, we do not have a solution for this equation.
Answer:
no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
10+5c=5c
Step 1: Simplify both sides of the equation.
5c+10=5c
Step 2: Subtract 5c from both sides.
5c+10−5c=5c−5c
10=0
Step 3: Subtract 10 from both sides.
10−10=0−10
0=−10
Answer:
There are no solutions.
HOPE THIS HELPS!!!!!! :)
<3333333333
(20 points!) Simplify i^31. A. 1 B. -1 C. i D. -i
Answer:
-i
Step-by-step explanation:
rewrite
one to any power is one
multiply
rewrite
Answer:
-i
Step-by-step explanation:
i^30 × i
(i^2)^15 × i
(-1)^15 × i
-1 × i
-i
integrated Mann ist Quarter)
English
Given f(x) = 3x-1 and g(x) = 2x-3, for which value of x does slx) = f(2)?
3
PRO X-2
5
O X=
2
O x=4
Answer:
[tex]g(x)=f(2)[/tex] for x = 4
Step-by-step explanation:
If [tex]f(x)=3x-1[/tex]
and [tex]g(x)= 2x-3[/tex]
Then for which value of "x" does [tex]g(x)=f(2)[/tex] ?
So start by evaluating what [tex]f(2)[/tex] is:
[tex]f(x)=3x-1\,\,\,\,therefore\,\,\,\, f92)=3\,(2)-1=6-1=5[/tex]
Then,we have to find for which value of x [tex]g(x)=5[/tex]
so we write g(x) explicitly:
[tex]2x-3=5\\2x=5+3\\2 x = 8\\x = 8/2\\x=4[/tex]
calculate the mid points of the line segments below using the midpoint formula given two endpoints (7,6) (10,10)
Answer: (8.5, 8)
Step-by-step explanation: