If (x+y)^2=125xy,
show that, 2 log (x+y) = 3 log 5+log x+ log y​

Answers

Answer 1

Formulas used :

[tex]loga^ x = x \ log a[/tex]

[tex]logab = log a + logb[/tex]

Steps :

[tex](x+y)^2 = 125xy\\\\log(x+y)^2 = log(125xy)\\\\2log(x+y) = log 125 + log x + log y\\\\2log(x+y) = log 5^3+ log x + log y\\\\2log(x+y) = 3 log 5 + log x + log y\\\\[/tex]


Related Questions

To convert 120 ounces to pounds, which of the following proportions should you use?

ANSWER VERY QUICKLY PLEASE!!!! NEED ANSWERS ASAP.

Answers

Answer: you would use the last option

Round 27834 to 2 significant figures

Answers

28000 is the answer.

you count two numbers from front and approximate

-4=12-2x
please help me with step by step​

Answers

Answer:

x=8

Step-by-step explanation:

-4 = 12 - 2x

when plus 12 goes to the left hand side it changes its sign so,

-4 -12 = -2x

- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -

-16=-2x

when -2 comes to the left hand side it changes its from multiplication to division.So,

-16/-2=x

8=x

we will get positive 8 because minus and minus also gets cancel.

Answer:

x=8

Step-by-step explanation:−4=12−2x

−4=12−2xSwap sides so that all variable terms are on the left hand side.

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.

−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.x=−16÷-2

Divide −16 by −2 to get 8.

Divide −16 by −2 to get 8.x=8

Hypothesize why human artifacts on the Moon might need to be protected.

Answers

because moon artefacts are prone to damage and need to be protected

Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months

A. $16.80
B. $140
C. $168
D. $14

Answers

This will be B hope this helps

Answer:

14

Step-by-step explanation:

Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?

Answers

Answer:

she would be able to buy 40 lunches

Step-by-step explanation:

Subtract  100  from both sides of the inequality

Divide each term by   −2  and simplify.

The solution to the inequality 100 – 2x < 20 is x > 40

How to find solution to an inequality?

She set aside $100 to buy school lunches for the year. Each school lunch cost $2.

Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.

100 – 2x < 20

The solution of the inequality is as follows;

100 – 2x < 20

subtract 100 from both sides

100 - 100 - 2x < 20 - 100

-2x < - 80

divide both sides by -2

x > 40

learn more on inequality here: https://brainly.com/question/11872626

#SPJ2

A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that?

Answers

Answer:

24000ml or 24L

Step-by-step explanation:

wxhxl = volume

20cm x 30cm x 40cm = volume

volume = 24000cm3

1cm3 = 1ml

24000cm3 = 24000ml

1000ml = 1L

24000ml = 24L

Using the net below, find the surface area
of the pyramid.
4 cm
2 cm
2cm

Answers

20 cm^2. Type in 20.
2*4 makes 8 divided by two makes 4. There are four sides so do 4*4 to make 16. 2*2 for the middle to make 4. 16+4 makes 20 cm^2

Calculate the area of sector if the angle is 45 degrees and the radius is 15cm

Answers

Answer:

[tex]area = \frac{45}{360} \times \pi {(15)}^{2} \\ = 88.35729338221 \\ = 88.6 \: (3sf)[/tex]

can someone help with this one im confused. ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade

Answers

Answer:

6 students earned a d and 80% got other

Step-by-step explanation:

Answer:

6 students, 80% of students

Step-by-step explanation:

20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.

[tex]20[/tex]%[tex]=[/tex]

[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]

Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.

[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]

6 students in Ms. Moore's class earned a D.

Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%

[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]

[tex]80[/tex]%

80% of students in Ms. Moore's class got a grade other than D.

I hope this helps! Let me know if you have any questions :)

Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?

Answers

Answer:

0.39063241

Step-by-step explanation:

cost per item: 6.06

items sold: 64321

total profit: 25123.5

sale price: ?

x = number of items

64321x - 6.06x = 25123.5

64314.94x = 25123.5

x = 25123.5/64314.94 = 0.39063241

What is the measurement shown ?

Answers

answers:

3.5

2.875

about 3.0625

Use thing below for answers

14. Evaluate the expression.
4!
24
28
20

Answers

Answer:

24.

Step-by-step explanation:

By definition,  factorial 4

= 4!

= 4*3*2*1

= 24.

the answer is 24!!!
it just is!

i need someone to do my 7th grade summer school work i will pay it's math and ela add me on dis if going to help me Kalani#5906 ​

Answers

Added you

____________

What is the value of X in the situation

Answers

The answer is D: -1
If you plug it in, it’s the only one that works
I think the answer is D

a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class

Answers

Answer:

33

Step-by-step explanation:

Trust me it'll work.

Answer pls………………………..

Answers

Answer:  Choice C.  [tex]3\sqrt{17}[/tex]

================================================

Work Shown:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]

I used the distance formula for those steps above.

The two points were (x1,y1) = (12,-21)  and (x2,y2) = (15,-9) but you could swap the order.

As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.

Let p: A number is greater than 25.

Let q: A.number is less than 35.

If p ^ q is true, then what could the number be? Select two options.

Answers

Answer:

Here we do not have the options, so I will answer in a general way.

We have two statements:

p = A number is greater than 25

q = A number is less than 35

We want to have:

p ^ q is true

This means:

p and q are true.

So, we need to find a number such that both conditions are meet, so we need to find a number N such that

The number N is greater than 25  (from p)

The number N is less than 35 (from q)

So N can be any number between 25 and 35

So, some of the possible values of N are:

N = 26

N = 27

N = 28.6

N = 33

N = 34

Concluding, any number N ∈ (25, 35) can be a solution.

(Note that N = 25 and N = 35 are not solutions)

Which of Roosevelt's contributions is considered to be the biggest construction undertaking in the nation's history?

Answers

Answer:

Public works administration

Step-by-step explanation:

Roosevelt's public work administration was a part of the new deal in the year 1933. The PWA was intended to cut down on the number of unemployed persons, and to raise the purchasing power of the people through the constructions. Most job seekers that were employed were those that had no formal education. the public works projects included road constructions, bridges, dams as well as public buildings like schools, hospitals

The human resources managet at a company records the length in hours of one shift at work, X. He created the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?​

Answers

Answer:

The probability that a worker chosen at random works at least 8 hours is 0.83

Step-by-step explanation:

Given

See attachment for probability distribution

Required

[tex]P(x \ge 8)[/tex]

At least 8 hours means that a worker works for 8 hours or more.

So:

[tex]P(x \ge 8) = P(x = 8) + P(x = 9) + P(x = 10)[/tex]

By reading the probabilities from the graph, we have:

[tex]P(x \ge 8) = 0.61 + 0.14+ 0.08[/tex]

[tex]P(x \ge 8) = 0.83[/tex]

the value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)

PLEASE ANSWER ASAP 45 POINTS !!!

Answers

Answer:

x= -34/3

Step-by-step explanation:

just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3

What properties of a figure stay the same after a reflection? *

Answers

Answer:

1. The preimage and image are congruent

2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection

3. Corresponding angles on the preimage and image are congruent

4. Corresponding points of the preimage and image are equidistant from the line of reflection.

The values in the table represent a function.

A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.

Use the drop-down menus to complete the statements.

The ordered pair given in the first row of the table can be written using function notation as
.

f(3) is
.

f(x) = –5 when x is
.

Answers

Answer:

4rfjq3yr i

Step-by-step explanation:

Answer:

✔ f(–6) = 8

✔ –2

✔4

Step-by-step explanation:

Got them right just now on Edge !!!

y is directly proportional to the square of x. given that y = 50 when x = 5, find the value of y when x = 3​

Answers

Answer:

y = 18

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = 50 when x = 5

50 = k × 5² = 25k ( divide both sides by 25 )

2 = k

y = 2x² ← equation of proportion

When x = 3 , then

y = 2 × 3² = 2 × 9 = 18

DUE IN 40 MINUTES OMG- PLS HELP IF YOU CAN


Convert standard form to vertex form then identify the vertex

-2x^2 - 8x + 3

Answers

Answer:

vertex point at (-2|11)

f(x)=-2*((x+2)^2+1*-11/2) (simplified)

Step-by-step explanation:

f(x)=-2*x^2+-8*x+3  

f(x)=-2*(x^2+4*x+-3/2) ( Factor out )

f(x)=-2*(x^2+4*x+(2)^2+-1*(2)^2+-3/2) ( Complete the square )

f(x)=-2*((x+2)^2+-1*(2)^2+-3/2) ( Use the binomial formula )

hope this helped, I didn't get much to work with so if i'm wrong i'm sorry

Which description best describes an Irrational number? (2 Points) A repeating decimal A fraction A perfect Square A non-terminating non-repeating decimal

Answers

A repeating decimal (rational ends, irrational doesnt)

How much is 106 divided by 6?
A) 17 R2
B)17 R3
C)17 R4
D)17 R1​

Answers

Answer:

C, 17 R4.

Step-by-step explanation:

6x17 is equal to 102, and 102+4 gets you to 106, therefor C is the correct answer.

Solve the equation x =
far for r.
A. r =
=
33
47
O
O
B. r = 3.0 – 45
c. r =
471
32
O D. r= 3x (41)

Answers

Step-by-step explanation:yo

Find the distance between the points A(-6,8) and B(12, -7) by using the distance formula or Pythagorean Theorem. ​

Answers

For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?Answer:

Step-by-step explanation:For which situations is it appropriate to use a sample? Select three options.

What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?

What is the average number of rainbows each year in Honolulu?

How many pedestrians would use a walkway built over a busy road?

How many police cars are equipped with computers?

What is the most popular car color in the teachers’ parking lot?

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