Answers
Answer:
[tex]a^3 + 1 = 0[/tex]
Step-by-step explanation:
We start with the equation:
[tex]a + \frac{1}{a} = 1[/tex]
We want to find the value of:
[tex]a^3 + 1 =[/tex]
We can start with our previous equation and multiply both sides by a:
[tex](a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a[/tex]
Now we can rewrite our initial expression as:
[tex]a = 1 - \frac{1}{a}[/tex]
Replacing that in the right side, we get:
[tex]a^2 + 1 = a = 1 - \frac{1}{a}[/tex]
Now again, let's multiply both sides by a
[tex]a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0[/tex]
So we can conclude that:
[tex]a^3 + 1 = 0[/tex]
Related Questions
- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?
Answers
what is 8690 rounded off to the neareset hundred?
am just asking
Answers
Answer:
8700
Step-by-step explanation:
If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700
Answer:
Did not necessarily round up or down, but to the hundred that is nearest to 8690.
8690 rounded to the nearest hundred is: 8700
Question 10 (4 points) Point A, located at (4, 1), is reflected over the x-axis and then translated (x - 3, y + 7). Write the location of A'
Answers
Answer:
(1, 6)
Step-by-step explanation:
Reflecting (4, 1) over the x-axis makes it (4, -1), the translation (x - 3, y + 7) means moving (4, -1) 3 left and 7 up
On this necklace the ratio of black beads to white beads is 1:3
How many more black beads do you need to add to make the
ratio of black to white 3:1?
Answers
Answer:
8 more black beads.
Step-by-step explanation:
B=1
W=3
B:W = 1: 3
Make
B:W = 3:1 = 9:3
So we need (9-1) = 8 more black beads.
Answer: chupa verga maricon de mierda
Step-by-step explanation:
pls help me find num 6 & 7
Answers
Number 6 is B. And Number 7 is C
Answer: The answer of number 6 is D. The answer of number 7 is D.
Step-by-step explanation:
For number 6, y=110° because they are vertical angles. x=y=70°=180°-110°
For number 7, 180°-63°=117°=a
My little sister need help!
Answers
8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.
Answers
Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
Which term BEST describes the following statement?
You are looking at a map of the United States, and it is assumed that you already know which direction is north.
A. Proof
B. Theorem
C. Common Notion
D. Conjecture
Answers
Answer:
B. THEORM - this would be your answer
Step-by-step explanation:
Hope this helps :)
65 70 75 80 85
Brand A
HIH
15
50
60
70
85
Brand B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Price ($)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for brand A, $20, is less than the IQR
for brand B. $70.
O B. The median for brand A, $75, is greater than the median for brand
B, $60.
O C. The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
O D. The interquartile ranges (IQRs) for brands A and B are both $20.
Answers
Given:
Two box plots for Brand A and Brand B.
To find:
The correct statement for the given box plots.
Solution:
In a box plot, the left end of the box represents the first quartile [tex](Q_1)[/tex], right end of the box represents the third quartile [tex]Q_3[/tex] and the line inside the box represents the median.
The interquartile range of a data set is:
[tex]IQR=Q_3-Q_1[/tex]
From the box plot of Brand A, it is clear that
[tex]Q_1=70[/tex]
[tex]Median=75[/tex]
[tex]Q_3=80[/tex]
So, the interquartile range (IQR) for brand A is:
[tex]IQR=80-70[/tex]
[tex]IQR=10[/tex]
From the box plot of Brand B, it is clear that
[tex]Q_1=50[/tex]
[tex]Median=60[/tex]
[tex]Q_3=70[/tex]
So, the interquartile range (IQR) for brand B is:
[tex]IQR=70-50[/tex]
[tex]IQR=20[/tex]
The median for brand A, $75, is greater than the median for brand B, $60.
The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
Therefore, the correct options are B and C.
Please help me solve my problem!!!
Answers
Answer:
180(n-2) or B
Step-by-step explanation:
Pls only help if you know the correct answer! Thanks! :)
Answers
b
step-by-step explanation:
a and c aren’t negative so we can get rid of those answers
d is backwards
b is the only correct answer
Answer:
Line B.
Step-by-step explanation:
Line A and line C don't have a negative side, so we can assume that those are wrong. On line D, -2 1/4 is supposed to be closer to -2, not -4 and -3.6 is supposed to be closer to -4, not -2, so line B is the correct answer.
Help PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
=22 m²
Step-by-step explanation:
Total area= Area of rectangle 1 + Area of rectangle 2
The volume of a right rectangular prism can be found by finding the product 3(6)(12) Which expression could also be used to determine the volume of this prism? 36(6) 2(3 + 12 + 6) 4(3)(12) 12 + 6 +3
Answers
Answer:
D
Step-by-step explanation:
Please please help me if you can I really need it
If you can please answer all of the questions
They should be simple if you know basic geometry
Thank you so much
Answers
Answer:
1- c:25
2-cant help
3- A:2,8
4-cant help
Determine the value of angle V in the picture below. Please help
Answers
Answer:
40 degrees
Step-by-step explanation:
Mathematically, the sum of two opposite interior angles of a triangle equals the exterior angle
Thus, we have it that;
60 + (7x + 5) = 20x
60 + 5 = 20x-7x
13x = 65
x = 65/13
x = 5
But angle V = 7x + 5
V = 7(5) + 5
V = 35 + 5
V = 40
Tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente. ¿Al cabo de una semana cuántas personas han participado en la cadena? ¿Finalizado el quinto día cuánto dinero se ha donado?
Answers
Answer:
Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Step-by-step explanation:
Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:
3^7 = X
2,187 = X
(3^5) x 5000 = X
243 x 5000 = X
1,215,000 = X
Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
find the slope! i have more to come so please help:(
Answers
=================================
Work Shown:
Rise = -3
Run = 2
Slope = rise/run = -3/2 = -1.5
----------------
Notes:
The rise and run correspond to the vertical and horizontal portions of the triangle shownThe rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative. The run is always positive.Answer:
m = - 3 / 2
Rise : -3
Run : 2
Step-by-step explanation:
According to the picture,
first coordinate : ( 2 , 1 )
second coordinate : ( 4 , - 2 )
Formulae : m=(y2-y1)/(x2-x1)
Substituting,
m = ( - 2 - 1 ) / ( 4 - 2 )
m = - 3 / 2
If this helps you, please mark brainliest!
Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science class. Why is this sample likely to be biased?
Answers
Answer:
I hope this helps
Step-by-step explanation:
Write the equation of the line in slope-intercept form
Answers
7. Find the volume of space consumed by the toilet paper without the center cylinder.
4cm
SHOW YOUR WORK!
*
14cm
12 cm
I
Volume
Answers
Answer:
7. 1583.36 cm³
8. 13,627.18 m³
Step-by-step explanation:
Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder
✔️Volume of Outer Cylinder:
Volume = πr²h
r = ½(12) = 6 cm
h = 14 cm
Volume = π*6²*14
Volume = 1583.36 cm³
✔️Volume of center cylinder:
Volume = πr²h
r = ½(4) = 2 cm
h = 14 cm
Volume = π*2²*14
Volume = 175.93 cm³
✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³
8. Volume of the solid = volume of the cone + volume of the cylinder
✔️Volume of the cone = ⅓πr²h:
r = 13 m
h = 14 m
V = ⅓*π*13²*14
V = 2,477.67 m³
✔️Volume of the cylinder = πr²h
r = 13 m
h = 21 m
V = π*13²*21
V = 11,149.51 m³
✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³
Nigel has 2 dogs. One eats 2 1/2 pounds of food each week. The other eats 1 3/8 pounds each week. Together how much food do the dogs eat in a week
Answers
whole part = 3
fractional part = 7/8
===========================================================
Explanation:
1/2 = 4/8
So the mixed number 2 & 1/2 is the same as 2 & 4/8
Adding on 1 & 3/8 will mean the fractional portions add to 4/8+3/8 = 7/8 and the whole number portions add to 2+1 = 3
Overall, the total amount eaten is 3 & 7/8 pounds
Answer:
27 1/8 pounds
Step-by-step explanation:
2.5 multiplied by 7 would be 17.5 and 1 and 3/8's by 7 would be 7 multiplied by 3 = 21/8 which would be 9 and 5/8's added up with the first 7 pounds
There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?
Answers
20%
Hope this helps! :)
______________
The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answers
Answer:
B cause it same
Step-by-step explanation:
If am wrong correct me thanks
Graph the solution of 3x - 5<-8 or 2x – 7 >3.
Answers
Answer:
To be Honest I Really Don't know What are the Answers?
A) 3x -7 = 2x+5
3x-2x= 5+7
1x= 12
Resposta final: x=12 e so fazer sequindo o exemplo
Another fairly simple one, pretty much a free Brainliest and 30 points.
Answers
Answer:
Solution given:
[tex]8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}[/tex]
=[tex]\frac{103}{12}-\frac{10}{3}[/tex]
taking lcm
=[tex] \frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}[/tex]
Answer:
5 1/4
Step-by-step explanation:
8 7/12 - 3 1/3
We need to get a common denominator of 12
8 7/12 - 3 1/3 *4/4
8 7/12 - 3 4/12
5 3/12
Simplifying the fraction
5 1/4
Twenty planes are at an airport. Eight planes take off, then five planes land, then 7
more take off, then 9 land. How many planes are left at the airport? PLS HELPP
Answers
Answer:
19
Step-by-step explanation:
20 - 8 = 12
12 + 5 = 17
17 - 7 = 10
10 + 9 = 19
determinants and inverses
Answers
Answer:
qustion number 1 the last one .
qustion number 2 the first one .
Find the surface area of a sphere
Show all the work
Answers
Answer:
452cm2
Step-by-step explanation:
surface area of sphere =4πr2
so 4π62 which equals to 452.39.
hope this helps u understand:)
Help me find B in these 4 equations please
Answers
11) b= 25°
12) b= 63°
13) b= 93°
14) b= 46°
Working together, Sam and Charlie can change all the light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone.
A table showing Rate in part per hour, Time in hours, and Part of Light Bulbs Changed. The first row shows,Sam, and has r, 3, and r times 3. The second row shows Charlie, and has StartFraction 1 Over 8 EndFraction, 3 and StartFraction 1 Over 8 EndFraction times 3.
Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?
3r = 3 r equals StartFraction 3 Over 8 EndFraction.
3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.r = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.r = 1
Answers
Answer:
B
3r + 3/8=1
Step-by-step explanation:
EDGE
Answer:
b
Step-by-step explanation: