if 2^x=3^y=12^z, show 1/z=1/y+2/x​

Answers

Answer 1

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved


Related Questions

A store has a 20% off sale on pants. With this discount, the price of one pair of paints is $15.20. What was the original price of the pants?

Answers

$19. 19 x 0.8 = 15.2

Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1)​

Answers

Answer:

1/

2 3 15 2 31 12

2 1 14 -12 43

__________________

2 1 14 -12 43 -31

so the answer is r=-31

Answer:

remainder = 60

Step-by-step explanation:

Given f(x) divided by (x - h) then the remainder is f(h)

f(x) = 2x³ + 15x² + 31x + 12 , then

f(1) = 2(1)³ + 15(1)² + 31(1) + 12

     = 2 + 15 + 31 + 12 = 60 ← remainder

Help me please :)....

Answers

Answer:

a = 6, b = 12, c = 18, d = 12

Step-by-step explanation:

I need help ASAP pleaseeeeee

Answers

Answer: area of smaller is 18 and larger is 45 so the answer is 27

Step-by-step explanation:

On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event Miniature replicas of the medals were sold as souvenirs in booths around the field. For $26, attendees could purchase a package containing 5 gold, 4 silver, and 2 bronze replicas, or one containing 4 gold, 4 silver, and 4 bronze replicas, or one that had 3 gold, 4 silver, and 6 bronze replicas. Which system of equations may be used to find the price, in dollars, of each type of replica?

Answers

Answer:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

Step-by-step explanation:

Given

Represent Gold with G, Silver with S and Bronze with B

Required

Determine the system of equations

The packages are represented as:

The first: 5G + 4S + 2B

The second: 4G + 4S + 4B

The third: 3G + 4S + 6B

Each of the package costs $26.

So, we have:

[tex]5G + 4S + 2B = 26[/tex] -- (1)

[tex]4G + 4S + 4B = 26[/tex] -- (2)

[tex]3G + 4S + 6B = 26[/tex] -- (3)

Divide both sides of (2) by 2

[tex]4G + 4S + 4B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

So, the system of equations are:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

True or False Exponential Growth occurs when the same number is added to
the consecutive output values.

Answers

Answer:

False

Step-by-step explanation:

Because you're not supposed to add to the output values, you need to multiply the output values.

I have to agree with mrshredhalen

it’s false

Ten cards numbered 1-10 are placed in a hat.What is the probabiliy of randomly drawing a card with an even number then a card with a number equal to five if the firdt card iis replaced

Answers

Answer:

1/ 20

Step-by-step explanation:

Given :

Cards = {1,2,3,4,5,6,7,8,9,10}

Even number = {2,4,6,8,10}

Probability (drawing an even number) :

Number of even / total. Number of cards

5 / 10 = 1/2

Card with number, 5 :

P(card numbered 5) = 1/10

Since they are independent events :

P(even number) * P(card numbered 5)

1/2 * 1/10 = 1/20

A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?

Answers

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

[tex]\frac{1}{4} ^{0}[/tex]
how do I solve this equation?

Answers

Answer:

The solution is 1.

Step-by-step explanation:

Any number raised to the 0th power will always be 1.

The answer is one have a good day

The first triangle is dilated to form the second triangle.

Select True or False for each statement.

Statement True False
The scale factor is 0.25.
True – The scale factor is 0.25.
False – The scale factor is 0.25.
The scale factor is 4.
True – The scale factor is 4.
False – The scale factor is 4.
A right triangle with a hypotenuse of 4.4. An arrow points to a smaller right triangle with a hypotenuse of 1.1

Answers

Answer:

Both true

Lelelelellele

If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.
Explanation

Answers

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

Simplify (4y - 3x - 2) - (7y + 4x + 3)

Answers

Answer:

-7x - 3y -5

Step-by-step explanation:

Answer:

-7x - 3y - 5

Step-by-step explanation:

In this question, you will simplify the expression given.

Solve:

(4y - 3x - 2) - (7y + 4x + 3)

Use the distributive property.

4y - 3x - 2 - 7y - 4x - 3

Combine like terms.

4y - 3x - 2 - 7y - 4x - 3

-7x + 4y - 2 - 7y - 3

-7x - 3y - 2 - 3

-7x - 3y - 5

Since we can't simplify further, your final answer would be -7x - 3y - 5

explain the arrangements of the atoms, I already have the first part done​

Answers

Step-by-step explanation:

The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.

A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface

Answers

Answer:

Total surface area is 48 square Centimeter

Step-by-step explanation:

Total surface area is equal to the product of triangular base area and the height of the prism

Area calculation of triangular base

[tex]S = \frac{3+4+5}{2} = 6\\[/tex]

Area =

[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]

Substituting the given values in above equation we get

[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter

Total surface area

= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter

please help me if you can please

Answers

Answer:

hello! :) have a good day!

Exact Form:

x= 87/35

Decimal Form:

x= 2.48571428

Mixed Number Form:

x= 2 17/35

write a polynomial in standard form that represents the area of the shaded region.

Answers

(2x-9)(x+5)
Then expand
2x^2 +10x -9x -45
Simplify
2x^2 +x -45

determine if f (x) = - x^3 + 4x^2 +7x - 6

Answers

-x(x2-4x-7)+6=-x(x2-4)-7+6=-x(x+2)(x-2)-1=-x-1

A square has an area of 64 square units. If its sides were only half as long, what would its area be?​

Answers

Answer:

16

Step-by-step explanation:

the sides now are 8x8

1/2 of that is 4x4 and 4x4=16

the supplement of a 65° angle has a measure of​

Answers

Answer:

115 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees, so if x is the angle you're trying to have you get:

[tex]x + 65 = 180\\x = 115[/tex]

El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?​

Answers

Answer: Translation:  

The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?

Step-by-step explanation:

Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?

Answers

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

what is the surface area of a cylinder in 9in,7in, and 5in ?

Answers

50 I can’t even explain

What’s the volume of this cube?

Answers

Answer:

Formula: V = a^3

a = 2in

Input: V = a^3 = 2^3 = 8

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is 4x−y=9. Fully reduce your answer.

Answers

Answer:

slope of given line is 4.

so slope of line perpendicular to it will be -1/4

graph the line please help

Answers

here’s my answer from desmos!

5x = 4x + 7 .....................................

Answers

Answer:

x=7

Step-by-step explanation:

do the math lol

The answer is x=7

5x=4x+7 subtract the 4x from both sides
-4x -4x
————-
1x=7 which is the same thing as x=7


Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

Cos^4x csc^2x = csc^2 x sin^2 -2

Answers

Answer:

0

Step-by-step explanation:

i think im not sure the way this question is written doesn't make a lot of sense

Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

please Help me i'm timed

Answers

Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

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