=============================================
Explanation:
Note that m + 1/m and m^2 + 1/(m^2) are very similar. If we square (m + 1/m), then we end up with something in the form (a+b)^2 = a^2 + 2ab + b^2, where a = m and b = 1/m. The 2ab portion is equal to 2*m*(1/m) = 2 which allows us to isolate m^2 + 1/(m^2) fully.
The steps below show this
[tex]m + \frac{1}{m} = \sqrt{71}\\\\\left(m + \frac{1}{m}\right)^2 = \left(\sqrt{71}\right)^2\\\\m^2 + 2*m*\frac{1}{m} + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} = 71\\\\m^2 + 2 + \frac{1}{m^2} - 2 = 71-2\\\\m^2 + \frac{1}{m^2} = 69\\\\[/tex]
-------------
Alternatively, you can isolate m in the equation [tex]m + \frac{1}{m} = \sqrt{71}[/tex] to get two irrational solutions. Plug either solution into m^2 + 1/(m^2) and you should get the same result as above.
Plz help me I do not understand this Plz show your work 4x-8=16
Answer:
x = 6
Step-by-step explanation:
First, add 8 to both sides.
4x - 8 = 16
4x - 8 + 8 = 16 + 8
4x = 24
Then, divide 4 from each side.
4x ÷ 4 = 24 ÷ 4
x = 6
Hope this helps.
Answer:
x = 6
Step-by-step explanation:
Well to solve for x in,
4x - 8 = 16
We use the commutative property which is the moving of numbers and variables to either side of the equation.
So 4x - 8 = 16
+8 to both sides
4x = 24
Divide 4 by both sides
x = 6
Thus,
x is 6.
Hope this helps :)
Hi. Please i need help with this question.
Please show workings.
Answer:
A =176 m^2
Step-by-step explanation:
The area of the floor is length times width
A = lw
A = 16* 11
A =176 m^2
Answer:
176 cm^2
Step-by-step explanation:
Given:
length=16m
width=11m
height=9m
We don't use the height in calculating since we are looking for the area of a rectangular carpet.
Required:
a=?
Formula:
a=l*w
whereas l is length and w is width
Solution:
a=l*w
a=16cm*11cm
a=176cm^2
A shortcut to find the answer:
16*11=1,1+6,6=176
Hope this helps ;) ❤❤❤
solve the inequality 7(v + 8) ≥ 7v + 1
Answer:
True all for v
Step-by-step explanation:
7(v+8)≥7v+17v+56≥7v+17v+56−7v≥7v+1−7v56≥156−56≥1−560≥−55All real numbers are solutions.
The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1 190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25
Answer:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
The reason is because we assume that each week have the same weight and replacing we got:
[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]
And the best option would be:
D. 221.25
Step-by-step explanation:
For this case we have the following data given
Week 1 2 3 4
Minutes 190 163 327 205
For this case we can find the mean with the following formula:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
The reason is because we assume that each week have the same weight and replacing we got:
[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]
And the best option would be:
D. 221.25
30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38
Answer:
3 + 6 = 1/2(#grapes)
3 + 6 = 9
9 = 1/2(#grapes)
2(9) = 1(#grapes)
18 = # of grapes
Step-by-step explanation:
An insurance company is considering implementing a plan based on mileage. The current plan, Plan A, charges a flat rate of $235.90 per month. Plan B charges a flat rate of $160.30 per month plus an additional $0.07 per mile driven the previous month. Using the inequality below, find the number of miles, x, where the cost of Plan B is less than the cost of Plan A. $160.30 + $0.07x < $235.90 A. x < 529 B. x < 5,660 C. x < 1,080 D. x < 2,160
Answer:
plan A
Step-by-step explanation:
Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence? first term has 6 second term has 9 third has 12 PLS HELP WILL MARK BRAINLIEST
Answer: 603 dots
Step-by-step explanation:
Triangle always has 3 sides. Given that
Each new triangle shown below has one more dot per side than the previous triangle. That means if first term has 6 dot, the second term will have 9 dots and third has 12 dots.
The difference between first and the second is the same with the difference between third and the second. That is,
First term a = 6
Difference d = 3
Number of term n = 200
This is arithmetic progression. We can come up with a formula:
Tn = a + ( n - 1 )d
Substitute all the parameters into the formula
Tn = 6 + ( 200 - 1 )×3
Tn = 6 + 199×3
Tn = 6 + 597
Tn = 603 dots
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please
Answer:
C: 13/32
Step-by-step explanation:
Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer
Answer:
13/32 left over.
Step-by-step explanation:
First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.
To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!
Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!
this one question so plz don't think it is two
It's point A. 4 vertical units away from point M.
Answer: Point A
Step-by-step explanation:
Point M has the same x value as point A and point A is 4 units below it.
Hope it helps <3
Given: f(x) = xand g(x) = x +1, find g[f(-2)].
1
5
-3
Answer:
-1
Step-by-step explanation:
f(x) = x
g(x) = x +1,
g[f(-2)].
First find f(-2) = -2
Then substitute into g(x)
g(-2) = -2+1
=-1
The desk is 1/2 as wide as it is long. If the desk is D meters long, how wide is the desk?
Answer:
1/2D meters
Step-by-step explanation:
I hope this helps
Answer:
(1/2)D
Step-by-step explanation:
The width is half the length, so is ...
(1/2)D or D/2 . . . meters wide
2) If Mike fell from (0.35) to (20, 0), determine the slope of his fall.
Answer:
-7/4.
Step-by-step explanation:
I'll take it to mean (0, 35)
The slope = (y2-y1)/(x2-x1)
= (0-35)/ (20-0)
= -35/20
= -7/4.
need to the answer ASAP
Answer:
321
Step-by-step explanation:
Estimate the solution to the system of equations.
Answer:
Find it in the explanation
Step-by-step explanation:
Equate the two solutions.
2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.
Now we get
4x+6y=12 and
-4x+3y=12
Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.
Adding these two equations together, I get:
9y=24
y=24/9
in fraction form y= 2 and 2 thirds.
Plug that in any of the equations and solve for the value of x, which will be -1
Therefore, the coordinates are (-1, 2 and 2/3)
Answer:
The answer is x= -1/2 and y= 7/3 or 2whole 1/3.
hope it helps..
Select the correct answer from the drop-down menu. Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, each student can prepare parallelogram(s).
Answer:
50
Step-by-step explanation:
this is confusing and I'm a straight A student in highschool.I'm a junior to be exact
Answer:
the correct answer is that the students infinitely many parallelograms
which correctly describes how the graph of the inequality -4 -x >7 is shaded?
A. Above the dashed line
B. Above the solid line
C. Below the solid lime
D. Below the dashed line.
Answer:
b
Step-by-step explanation:
a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.
Please help due today
Answer:
X=149-57+23
Step-by-step explanation:
X=149-57+23
Answer:
distance = 149 -57 +23
(-) is backward
(+) is forward
HELP ME PLZZZZZZ I NEED HELP
Answer:
Tossing two coins once.
Step-by-step explanation:
According to the diagram, there are just two outcomes: either H or T.
The spinner has three outcomes, and the cubes have 6 outcomes each, so we can eliminate the top two options.
If the person were just tossing one coin, the outcomes would be H or T, but there are more outcomes than that, so the diagram represents tossing two coins once.
Hope this helps!
30 points high school geometry question
Answer:
x = 5
Step-by-step explanation:
9/15 = 3/x
x = 5
X would equal 5
I did this test in high school. smh
The baseball diamond at a playground is a square with sides that measure 60 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth. A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical. 7,200 feet 60 feet 84.9 feet 120 feet
Answer:
84.853 ft
Step-by-step explanation:
A^2 + B^2 = C^2 | 60^2 + 60^2 = 84.853
Answer: 84.853 ft
Step-by-step explanation:
What is the middle term of the product of (x - 4)(x - 3)?
Answer:
- 7x
Step-by-step explanation:
Given
(x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) - 4(x - 3) ← distribute both parenthesis
= x² - 3x - 4x + 12 ← collect like terms
= x² - 7x + 12
with middle term = - 7x
Answer:
Step-by-step explanation:
= x(x-3) - 4(x-3)
= x²-3x - 4x + 12
= x² -7x +12
So -7x is the middle term
can somewon help me i eally need help
Answer: The answer should be 1/2
Step-by-step explanation:
Answer:
i say 1/6 but pleaseeee dont go off my answer im not 100%
Step-by-step explanation:
Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______
Answer:
there are 25 nickels and 30 dimes
May someone please explain what a central tendency is I do not understand what it exactly means
- (1 /-11 )( 77+1100)
-(1/-11)(77+1100)=107
Answer:
107
Step-by-step explanation:
-(1/-11)(77+1100)
1/11(1177)
=107
Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is left?
5) If 7 minutes of playing time have past, how many total minutes of playin
time are there in the game?
6) How many minutes of playing time are left in the game?
(I'll also need help on the shading for the fraction picture)
Answer:
4) 1/8
5) 56
6) 49
First shaded boxes = 4/7
Second shaded boxes = 1 out of 8 boxes are shaded = 1/8
Step-by-step explanation:
1/2x1/4=1/8
7X8=56
59-7=49
First shaded boxes = 4 out of 7 are shaded = 4/7
Second shaded boxes = 1 out of 8 boxes are shaded = 1/8
The fractional part of the game is left [tex]\frac{7}{8}[/tex] , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
According to the question
Jackson is attending a lacrosse game that is halfway through the first quarter
i.e, Game played = [tex]\frac{1}{2} *\frac{1}{4}[/tex]
Game played = [tex]\frac{1}{8}[/tex]
a) fractional part of the game is left
Game left = 1 - [tex]\frac{1}{8}[/tex] (treated complete game as 1 )
= [tex]\frac{7}{8}[/tex]
b) If 7 minutes of playing time have past,
i.e [tex]\frac{1}{8}[/tex] part of game is completed in 7 mins
therefore,
1 whole will complete in 7*8 = 56 mins
c) Minutes of playing time are left in the game
As,
total time to complete the game - game played time
= 56 - 7
= 49 mins
as in the fraction of shading question
a) [tex]\frac{4}{7 } is shaded[/tex]
b) [tex]\frac{1}{8}[/tex] is shaded
Hence , the fractional part of the game is left [tex]\frac{7}{8}[/tex] , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .
To know more about fraction here :
https://brainly.com/question/6201432
# SPJ2
[tex]if \sqrt{p ^{2} } +1= \frac{5}{4} .Find the postive value of p[/tex]
Answer:
Positive value of p = 1/2
Step-by-step explanation:
Given:
[tex]\sqrt{p^2}+1=\frac{5}{4}[/tex]
Find:
Positive value of p
Computation:
[tex]\sqrt{p^2}+1=\frac{5}{4}\\\\\sqrt{p^2}=\frac{5}{4}-1\\\\\sqrt{p^2}=\frac{5-4}{4}\\\\\sqrt{p^2}=\frac{1}{4}\\\\p = \frac{1}{2}[/tex]
Positive value of p = 1/2
Why Taraaaaaaa >:C Can somebody please help me?
Answer:
4 hours
Step-by-step explanation:
3/5 of 8 hours
3/5 * 8 = 4.8 hours
Then she lost 1/6 of the 4.8 hours
4.8 * 1/6
.8
4.8 - .8 = 4
She got 4 hours of sleep
Write the other side of this equation so it's true for no values of x;
1/2(6x-10)-x =
Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
Find the output. y. when the input. . is -5.
Answer:
The answer is 7.
Step-by-step explanation:
You would find -5 on the graph and go up until you see the line, and where it ends, is your answer or output. 7.
Answer:
(-5, 7)
Step-by-step explanation:
Draw a vertical line through x = -5 and determine the point at which this line intersects the graph. You'll find that that point is (-5, 7).