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
John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.
Answers
7(dollars spent each week) x 4 ( number of weeks)=28 (spent in 4 weeks)
80 - 28 =52
wouldnt x+x be 2x thanks
Answers
Answer:
Wym?
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I'll answer it on the comment or are u just playing?
Which decimal is largest?
0.49
0.45
0.48
Answers
Answer:
0.49
Step-by-step explanation:
Answer:
0.49
Step-by-step explanation:
its 0.01 larger than 0.48
its 0.04 larger than 0.45
How many kids are there in the US
Answers
Answer:
74.2 million children under the age of 18
Step-by-step explanation:
Answer:
74•2 million kids are in the usa
The sale price of a meal at $17 what is the cost after 8% sales tax is applied
Answers
Answer:
$18.36Step-by-step explanation:
sales price = $17tax rate = 8%tax = (8×17)÷100tax = $1.36taxable amount = sales price + taxtaxable amount = $17 + $1.36 = $18.36MARK ME AS BRAINLISTPLZ FOLLOW ME
84,000 of food for 80 soldiers for 60 days How long would the food last 20 more soldiers joined
Answers
Answer:
If 20 more soldiers join it would last 48 days
Step-by-step explanation:
if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each
then 1050/60=17.5 meaning they need 17.5 food a day each,
adding 20 soldiers means 80+20= 100 soldiers
100*17.5=1750 food is eaten every day
84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days
I WILL MARK BRAINIEST PLEASE HELP
Answers
Answer: do you still need help
Step-by-step explanation:
How do I round 31732.441804 to the nearest dollar?
Answers
Answer and Step-by-step explanation:
To round to the nearest dollar, you are essentially rounding to the nearest whole number.
This involves looking at the tenths place.
31732.441804
The bolded 4 is in the tenths place (after the decimal), and determines if the number to the left of it rounds up or stay the same.
Since 4 is not greater than or equal to 5, it makes the number stay 2.
So, we get the answer to be $31732.
#teamtrees #WAP (Water And Plant)
Nathan Reynolds bought a car for $15,000. He made a down payment of $3,000. Nathan secured a loan for the balance of the purchase price at 8 percent interest for four years.
determine the monthly payment and total interest
Answers
Answer:
1) The monthly payment is approximately $292.96
2) The total interest is approximately $2,061.84
Step-by-step explanation:
1) The financing method Nathan Reynolds applied to buy the car is given as follows;
The purchase price of the car = $15,000
The down payment made for the car = $3,000
The
The interest on the loan he took for the balance of the purchase price, R = 8%
The number of years for which he took the loan, n = 4 years = 48 months
We have;
The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)
∴ The balance of the purchase price = $15,000 - $3,000 = $12,000
The balance of the purchase price = $12,000 = The loan Nathan secured
The monthly payment on a loan is given by the following formula
[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]
Where;
A = The payment amount made monthly
P = The principal or loan amount = $12,000
r = The interest rate divided by 12 = R/12 = 8/12 = 2/3
n = The number of months the monthly payment will be made = 48 months
By plugging in the variable values, we get;
[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]
Therefore, the payment amount made monthly, A ≈ $292.96
2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84
The total payment made in the 48 months ≈ $14,061.84
The total interest = (The total payment made in the 48 months) - (The loan amount)
∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84
Find the slope of -1:9 0:5 1:1,
-4/1
-1/4
1/4
4/1
Answers
Answer:
1/4
Step-by-step explanation:
A P E X
Answer: I’m a goofy goober yeah your a goofy goober yeah
Step-by-step explanation:
please answer correctly and quickly
Answers
Answer:
#6:10
Step-by-step explanation:
Answer:
#9 is x=14
#7 is C 138
#6 is x=10
#5 is p=40
27. A multiple choice test contains 5 questions, and each question has four possible responses.
How many different answer keys are possible?
A. 20
B. 120
C. 256
D. 1024
Answers
Answer:
D. 1024
Step-by-step explanation:
Each question can be answered 4 ways.
4 * 4 * 4 * 4 * 4 = 1024
D. 1024
The sum of five-sixths of f, one-half of p, and 3
Answers
Answer:
The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]
The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?
Choose exactly two answers that are correct.
Question 3 options:
The ratio of large to small T-shirts is about 4 to 1.
There are more than 35 small and extra small T-shirts.
There are about twice as many large T-shirts as small T-shirts.
There are fewer than 100 T-shirts in all.
Answers
Answer:
medium, extra large
Step-by-step explanation:
BRAINLIEST PLEASE
the ration of large to small tshirts is about 4 to 1
they are both correct
How many degrees of rotational symmetry does the flower have
Answers
Answer:
It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.
Step-by-step explanation:
From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house
Answers
Answer:
3 miles
Step-by-step explanation:
This is because Derek would be your right angle of the corner of the right triangle. And since the distance is both of those houses from Derek’s house, you would have to use the Pythagorean Theorem to find the difference of the hypotenuse and the leg
Please help due today
Answers
i need help!!!! list the factors of -108 that equal to -3
Answers
Answer:
9 and -12
Step-by-step explanation:
The hospital is putting in a wheelchair ramp at one of its entrances. Only 6 feet of sidewalk can be covered by the ramp, and the ramp needs to reach 0.5 feet up the wall to reach the entrance. How long does the ramp need to be?
Answers
Answer:
3
Step-by-step explanation:
in parallelogram
abcd if b=50 find the other angles
Answers
Answer:
a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180
12y + 29y +48y + 2ly + 13y + 7y
Answers
Answer:
Add all of the numbers then put a Y at the end.
Step-by-step explanation:
its just combining like terms, if their all Y. its jist adding with a letter at the end
here you go!
aye anyone please help me with my math its really easy 9th grade I just figure out part of this question !!! please help
Answers
Answer:
hope this helps!
Step-by-step explanation:
Is my answer correct???
Answers
Answer:
Yes! Great job!
Hope that helps!
-4(x+6)+2(x-2) please help!
Answers
Answer:
−2x−28
Step-by-step explanation:
Distribute:
=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)
=−4x+−24+2x+−4
Combine Like Terms:
=−4x+−24+2x+−4
=(−4x+2x)+(−24+−4)
= −2x - 28
Solve the equation. 8| n | − 1 = 15
A.n=2
B.n=2 or n=-2
C.n=8 or n=-8
D. No solution
Answers
Answer:
8n=15+1
8n=18
divide both sides by 8
n=2 A
...what's
[tex] \sqrt{169} [/tex]
Answers
Answer:
√169=13
Step-by-step explanation:
can also be understood by 13×13=169
Answer:
13
Step-by-step explanation:
√169 = 13
will give you brianlist
Answers
Answer:
-50x - 66
Step-by-step explanation:
Answer:
-50x - 66
Step-by-step explanation:
Given that the perimeter of the equilateral triangle below is 63 , solve for x
Answers
Let x be the length of a equilateral triangle.
x + x + x = 63
3x = 63
x = 63/3
x = 21
Hope it helps! Make me brainliest if it’s correct!
The graph shows a function. Is the function linker or non linear?
Answers
Answer:
It is linear since it is a straight line.
Find the simple interest on 3,750 in 5 years at 3% rate per annum.
Answers
Answer:
562.5
Step-by-step explanation:
i=?
p=3750
r=3*1/100=3/100
t=5 years
I=P*R*T
3750*5*3/100
=5625/100
=562.5