If x+1/x= 3, then prove that m^5+1/m^5= 123
9514 1404 393
Explanation:
We can start with the relations ...
[tex]\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)[/tex]
[tex]\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}[/tex]
Which situation involves a conditional probability?
O A. The probability that you roll a 6 on a number cube
O B. The probability that you are given a book for your birthday
C. The probability that you make a second free throw given that you
made the first free throw
O D. The probability that you make two free throws in basketball
Answer:
• A. The probability that you roll a 6 on a number cubeStep-by-step explanation:
i hope it helps :)
C.
The probability that you make a second free throw given that you made the first free throw
a p e x
The price of a 9-minute phone call is $1.35. What is the price of a 16-minute phone call?
Does anyone know this answer?
Answer:
The answer is Vertical
Step-by-step explanation:
Hope this helps <3
The winner of a match in a Rock , Paper , Scissors tournament is decided after twelve rounds .4 points are awarded to the player that wins a round , and -2 points are given to the player that loses a round . if there is a draw , neither player receives points. The expression 4w - 2L + 0d can be used to determine the number of points a player has after w wins , L losses and D draws . When Sara played Jessie each earn in the match ?
you'll get 20 points for answering
is that the whole qustions
if no then write it up
I need help!! Please help!
Answer:
1. 25%
37.5%
75%
2. 50%
75%
150%
Helppp Meee Plsss
....
Answer:
I believe it is because it is being transferred to kinetic energy
Step-by-step explanation:
As the puck falls, it loses potential energy and gains kinetic energy because it is now falling, which causes movement due to gravity. And as we know, kinetic energy is energy which a body possesses by virtue of being in motion
∠A and ∠B are vertical angles. If m∠A=(5x+5)∘and m∠B=(4x+29)∘, then find the measure of ∠A.
Answer:
∠A = 175∘
Step-by-step explanation:
∠A = ∠B
5x-5= 4x+29
x = 34
∠A= 34*5+5
∠A=170+5=175
5x+5= 4x + 29
-5
5x=4x+24
-4x -4x
x=24
m∠A=5x+5
m∠A=5(24)+5
120+5
Answer=125
An orange juice container starts with 6 7/8 cups of juice. How much orange juice is left after three 1 1/4 cup serving are poured?
Pls help me it’s due hellop
Answer:
m<CAB = 59
m<ACB = 59
Step-by-step explanation:
4x - 41 = 2x + 9
2x - 41 = 9
2x = 50
x = 25
m<CAB: 4x - 41
4(25) - 41
59
m<ACB: 2x + 9
2(25) + 9
59
Solve for X
Will give brainiest
Answer:
x = 6
Step-by-step explanation:
8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 48
x = 6
solve for 65+5x and show work !!!
Answer:
x = -13
Step-by-step explanation:
65 + 5x = 0
65 = -5x
divide by -5
-13 = x
Answer:
x = 13
Step-by-step explanation:
You have to get x by itself
so you divide 5 by 65
Then X is by itself and your answer is 5/65
Is quadrilateral ABCD a parallelogram? Explain.
Answer:
don't know
Step-by-step explanation:
Pls I need help
Hahaha I did not reach the word limit
Answer:
5-(-7)=5+7
Step-by-step explanation:
keep in mind that two negatives make a positive. therefore it would be 5+7=5+7. i hope this helps :)
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
to find out the triangle do this formula:
bxh/2
3.5x3=10.5
3.5x3=10.5
21
To find out rectangle do:
lxw
7x3=21
21+21=42
How many ways can you put the letters in "Utah" in order?
What is the distance between...
-a and a?
Answer:
depends what the number is
Step-by-step explanation:
if its -7 and 7 then the distance would be 14
I tried but kept getting it wrong ;-;
Find the area of the composite figure.
<15> and <10> add first 25 <25> and 5 add second 30 <30> and 7 add third 37 <37> and 6 <6> now add that an u get <43> thats ur answer :)
Please help 50 points
What is the fractional form of
Answer:
it's option A .............
Answer:
8/9
Step-by-step explanation:
Repeating. Just do 8 divide by 9
Help me plsssssssssssssssss
Answer:
I would say 1.5in
Step-by-step explanation:
Victoria has $10 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?
Anybody know ? Need help
Answer:
i think a but i’m not sure
sorry if wrong
Step-by-step explanation:
A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)
Answer:
18:12
simplified 3:2
this is the answer to your problem
The ration between boys and girls are - 18:12
when simplified- 3:2
f(2)if f(x)=2x-5 plz answer
Answer:
-1
you use the given functions to set up and simplify f(2)
A swimming pool is 30 ft long and 15 ft wide. How much water do you need to fill the pool if it is 6 ft deep? (Thanks?)
Jose paid $1.12 for a dozen eggs at Target. How much would Jose have to pay for 18 eggs?
Answer:
56.16
Step-by-step explanation: All you do is just multiply
Answer:
$1.67
Step-by-step explanation:
Given it's $1.12 for 12 eggs, we divide 1.12 by 12 to see how much it cost for 1 egg
1.12/12 = 0.093
so 0.093 cents for 1 egg
0.093x18 eggs = 1.674 = $1.67
Hope this helps, have a nice day :)
this performance task is really important for my grade, if you could help, i would greatly appreciate it :)
The vertices of quadrilateral WXYZ are W(-1,4); X(3,5); Y(4,1); Z(00). What kind of quadrilateral is it? Explain how you know this. Be as specific as possible.
Answer:
This quadrilateral is a SQUARE.
When we plot these points, we realize that they are equal distance apart.
So, when a quadrilateral has sides that are equal distance apart, that quadrilateral is a square.
Let me know if this helps!
Can someone pls help me with this?
Answer:
the answer is d
Step-by-step explanation:
so for one do y-intercept has to be at (0,25) so we can eliminate answer choices B and C
the reason why it is not a is because a is moving out of constant rate of 25 when it needs to be moving at a constant rate like 10 D is the answer because it's moving at a constant rate of 10 and it has a y intercept of (0,25)
If the perimeter of the square below is 12x^2-8x-4, what is the area of the figure
Answer:
Step-by-step explanation:
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PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
(-64)[tex]^{-\frac{1}{3}[/tex]
Step-by-step explanation:
Answer:
(-64)^-5/3 X (-64)^4/3 = -0.25 or -1/4.
Step-by-step explanation:
l hope that this helps! :))>