In x^a=y, y^b=z, z^c=x, then prove that abc=1
Answers
Step-by-step explanation:
Let, x^a =y......(1) and
y^b =z.....(2) and
z ^c =x......(3).
Now, using (1) in (2) we get,
x ^ab =z......(4).
Now, using (4) in (3) we get,
x ^abc =x
or, x ^abc =x ^1
or, abc=1.
Hope it will help :)
Step-by-step explanation:
hope the above solution will help you
Related Questions
8(8p+8)=640 solve
Answer ASAP please
Answers
Answer:
p = 9
Step-by-step explanation:
8(8p + 8) = 640
use the dist property
64p + 64 = 640
-64 -64
64p = 576
divide by 64
p = 9
Answer:
9
Step-by-step explanation:
help me pls kinda stuck lol
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
how do I find the percent of budget?
Answers
Answer:
First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive.
Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget. If your expenses were lower than your budgeted amount, then this number will be negative, describing the percentage under budget.
Please answer I need it asap!!!
Answers
Answer:
Use ratios of corresponding sides:
EH/FH = FH/GHFH² = EH*GH4.
FH² = 6*3 ⇒ FH = √18 = 3√25.
GH = FH²/EH = 6²/12 = 36.
FH = √(19-15)*15 = √60 = 2√15Write the point-slope form of the equation of the line through the given point with the given slope. through: (2, 2), slope = 3
Answers
Answer:
y-2=3(x-2)
Step-by-step explanation:
point slope form:
y-y₁=m(x-x₁)
y-2=3(x-2)
PPPPPPPPPPPPPPPPPPPPPPPPPPPPplwlwlwlwlwlwlwlEEEEEEEEEEEEEEEEASE
Answers
m=-7
Please help
The figure
Answers
pentagonal prism
hope it helps you
Answer:
the last one
Step-by-step explanation:
because they are given their names based on their bases
Isabel put $4,000 into a saving account that pays interest monthly at a simple-interest rate of 2.5% per year. If she takes the interest interest out of the account each month, how much money should she expect to earn after 6 months?
Answers
9514 1404 393
Answer:
$49.98
Step-by-step explanation:
The interest credited to Isabel's account each month is ...
I = Prt
I = $4000·(0.025)(1/12) = $8.33
If she withdraws that amount each month, the original balance is restored, and she will earn the same amount the next month.
Isabel's total earnings in 6 months will be ...
$8.33 · 6 = $49.98
What multiplication fact could help me find out 24 ÷ 8 ?
Answers
Answer:
Step-by-step explanation:
That would be 8 x 3. It would help because 24/8 = 3.
So a multiplication fact is 8x3 = 24.
Another math problem
Answers
Answer:
sorry no se la respuesta
The length of a recgangle is teice is width if the perimeter is 72 metre find the length and width of the rectangle
Answers
Answer:
Let width = b
Then length,l=2b
Perimeter =72
2(l+b)=72
2(2b+b)=72
2(3b)=72
6b=72
b=72/6=12
L=2b=12x2=24
Equations & Inequalities The value of a baseball card is increasing at a rate of $40 per year. If Tom purchased the card for $300, how many years will it take for the card to at least triple in value?
Answers
Answer:
15= number of years
Step-by-step explanation:
Giving the following information:
Current value= $300
Growth per year= $40
Triple value= $900
To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:
Future value= current value + (growth rate per year*number of years)
900 = 300 + (40*number of years)
600= 40number of years
600/40= number of years
15= number of years
Si: a + b + c = 18
hallar: abc + bca + cab
Answers
Answer:
abc + bca + cab
abc(1+1+1)
3×18
54
Answer:
54
Step-by-step explanation:
a + b + c = 18
abc + bca + cab = ???
18 / 3 = 6
a = ? = 6
b = ? = 6
c = ? = 6
(6 + 6 + 6) + (6 + 6 + 6) + (6 + 6 + 6)
(18) + (18) + (18)
abc + bca + cab = 54
pleade help and show work
Answers
9514 1404 393
Answer:
11) x = 9
12) x = 9
Step-by-step explanation:
11) Corresponding segments are proportional, so ...
x/6 = 12/8
x = 6(12)/8 . . . multiply by 6
x = 9
__
12) Similar triangle relationships show you the geometric mean relationship that applies in this case.
long side/short side = x/3 = 27/x
x² = 3·27 . . . . . . cross multiply
x = √(3·27) . . . . geometric mean relationship
x = 9
While going on a date to the movies, you offer to buy the snacks. You plan to buy two packs of candy (one for each of you) and a large popcorn to share. If you have 15 dollars and a large popcorn costs 7 dollars, what’s the most you can spend on a pack of candy?
$3.50
$4.00
$6.50
$8.00
Answers
$15 - $7 = $8 than divide it by 2 which gives the $4 dollars for each 2 people
Answer:
the last one
Step-by-step explanation:
Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's diameter?
Answers
Step-by-step explanation:
since it is a circle the diameter is two times larger than radius.So 4×2=8km
Please help quickly! have to turn in, in 26 minutes!!
Answers
Answer:
the subject of the story
What is the slope of this graph ?
Answers
Answer:
linear slope paragraph
Answer:
the slope is 58
Step-by-step explanation:
hope this helps :)
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
Answers
Answer:
17/60 yards of scarf
Step-by-step explanation:
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
To solve the above question:
5 friends = 1 5/12 yards
1 friend = x yards
Cross Multiply
5 × x = 1 × 1 5/12 yards
x = 17/12 yards ÷ 5
x = 17/12 yards × 1/5
x = 17/60 yards of scarf
Answer:
its D
Step-by-step explanation:
1x5/12 + 5/12 1 X 5 = 5 SO 1 X 5/12 IS D
Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?
Answers
Answer:
2(90-x)=180-x-24
solve this
180-2x=156-x
solve the rest on your own
Hope it helps!
The measure of the angle will be 24 degree.
What is Complementary angle?
When sum of two angles are 90 degrees then the two angles are called Complementary angles.
Given that;
The expression is,
''Twice the complement of an angle is 24 degrees less than its supplement.''
Now,
Let measure of an angle = x degree
The complement of an angle x = (90 - x) degree
The supplement of an angle x = (180 - x) degree
Then, By the given condition we can formulate;
2 ( 90 - x) = (180 - x) - 24
180 - 2x = 180 - x - 24
180 - 2x = 156 - x
Subtract 180 both sides;
180 - 2x - 180 = 156 - x - 180
- 2x = - x - 24
Take negative sign common,
2x = x + 24
Subtract x both side,
2x - x = 24
x = 24
Thus, The measure of the angle will be 24 degree.
Learn more about the complement angles visit:
https://brainly.com/question/98924
#SPJ5
Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probability that Helen makes the second free throw given that she made the first is 0.85. What is the probability that she makes both free throws?
Answers
Answer: 0.6375
Step-by-step explanation:
Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85
Therefore, the probability that she makes both free throws will be denoted as:
= 0.75 × 0.85
= 0.6375
If the lines in a system of equations have different slopes and the same y-intercept, how many solutions does the system have?
Answers
Answer:
289819
Step-by-step explanation:
A typist types 450 word in one hour. How many words would he type in 10 minutes
Answers
Answer:
75 words in 10 mins
Step-by-step explanation:
450 words in 60 mins, 450/6 is 75 meaning he can type 75 in 10 mins.
Answer:
30 minutes ................ 450 words
1 minute ..................
30
450
=15 words
6 minutes .............. 15×6=90 words
i cant figure the answer out can u help me (x+6)(3x-8)
Answers
Answer:
3x² + 10x - 48
Step-by-step explanation:
Given
(x + 6)(3x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
x(3x - 8) + 6(3x - 8) ← distribute both parenthesis
= 3x² - 8x + 18x - 48 ← collect like terms
= 3x² + 10x - 48
A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?
Answers
Answer:
About 6.7%
Step-by-step explanation:
Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.
Answers
Answer:
x + 9.50 = 35
Step-by-step explanation:
The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,
We already know the amount they spent on popcorn.
X, the amount they spent on tickets + 9.50=35
Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answers
Answer:
1
1
3
cups
Explanation:
This is a ratio question. If we are comparing the ratios, we could say
24
36
=
x
2
where x = the amount of sugar to make 24 cookies.
We can multiply both sides by 2 to cancel the 2 on the right, making
24
(
2
)
36
=
x
.
Simplify this and we get
48
36
and eventually
4
3
or
1
1
3
.
Step-by-step explanation:
Hope that helps!!
The answer is 3
A number line going from negative 3 to positive 3 in increments of 1.
Which statements are true? Check all that apply.
Negative 2.5 = negative 2 and one-half
–1.5 > –0.5
–0.5 < 0
–2.5 < –2
1 and one-half greater-than 1.5
Answers
Answer:
1., 3., and 4.
Step-by-step explanation:
It's C.
Or how other people say it,
3 or –2.5 < –2
five yellow m&m for every 3 green. How many green m&m if there are 95 yellow ?
PLEASE HELP
Answers
Need help ASAP
Thankss + BRAINLIST only for correct answer
Answers
Answer:
y = 4Step-by-step explanation:
x + 2y = 10 ⇒ 2y - 10 = -x
-x + 4y = 14
2y - 10 + 4y = 14
6y = 24
y = 4
