9-12 Use the properties of logarithms to expand the quantity.
11. [tex]\ln \frac{x^{2}}{y^{3} z^{4}}[/tex]

Answers

Answer 1

Step-by-step explanation:

lnx² - lny³ - lnz⁴

2lnx - 3lny -4lnz


Related Questions

HELP ME OUT PLS!!!!!!!!!!!!!!!!​

Answers

Answer:

D) -9

Step-by-step explanation:

2(x - 3) + 1 = 3x + 4

-> 2x - 6 + 1 = 3x + 4

-> 2x - 5 = 3x + 4

-> 2x - 3x = 4 + 5

-> -x = 9

-> x = - 9

im sorry i just suck i need help again pllsssssssssssss

Answers

ur answer is D i hope this helped!

Stephanie
invests $6,688 in a savings
account with a fixed annual interest rate of
2% compounded 6 times per year. What
will the account balance be after 5 years?

Answers

Answer:

$7,390.15

Step-by-step explanation:

A = $7,390.15

A = P + I where

P (principal) = $6,688.00

I (interest) = $702.15

First, convert R as a percent to r as a decimal

r = R/100

r = 2/100

r = 0.02 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 6,688.00(1 + 0.02/6)^(6)(5)

A = 6,688.00(1 + 0.0033333333333333)^(30)

A = $7,390.15

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $6,688.00 at a rate of 2% per year compounded 6 times per year over 5 years is $7,390.15.

Mira buys a telescope that costs $180. She has to pay 4% sales tax. how much will she pay in all

Answers

$187.2 Explanation: the total before take is $180 which is 100% tax is 4%. The total plus 4% sales tax is 104% of the original $180. If you shift the numbers two places(as you do when converting % to decimals) you get 1.04. 180 x 1.04 = 187.2

Mira would pay $187.2

What is the formula for tax rate?

"Tax rate = (Tax amount / Price before tax) × 100% "

What is the formula for tax amount?

"Tax amount = Final price - Price before tax"

For given question,

Mira buys a telescope that costs $180.

⇒ Price before tax = $180

sales tax = 4%

Let 'm' be the tax amount.

Using the formula of tax rate,

⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%

⇒ 4% = ([tex]\frac{m}{180}[/tex]) × 100%

⇒ 0.04 × 180 = m

⇒ m = 7.2

Using the formula for the tax amount,

⇒ Tax amount = Final price - Price before tax

⇒  Final price = Tax amount + Price before tax

⇒  Final price = 7.2 + 180

⇒  Final price = $187.2

Therefore, Mira would pay $187.2

Learn more about the tax rate here:

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

16

Step-by-step explanation:

4x+3(x-1)=67 solve for x

Answers

Answer:

x = 10

Step-by-step explanation:

Answer:

[tex]\bf x=10[/tex]

Step-by-step explanation:

[tex]\tt 4x+3(x-1)=67[/tex]

Use the distributive property to multiply 3 by x-1:-

[tex]\tt 4x+3x-3=67[/tex]

Combine 4x and 3x = 7x:-

[tex]\tt 7x-3=67[/tex]

Add 3 to both sides:-

[tex]\tt 7x=70[/tex]

Divide both sides by 7:-

[tex]\tt \cfrac{7x}{7} =\cfrac{70}{7}[/tex]

[tex]\tt x=10[/tex]

What was done to the linear parent function, f(x) =X, to get the function g(x) =X1/5x

Answers

f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.

Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of milk. He wants to make a smaller bath, so he uses only 3 cups of shredded cheese How much milk does Nolan need for this smaller batch _____ tablespoons

Answers

Nolan will need 2 table spoons of milk for a smaller batch of his family’s macaroni and cheese recipe.

Loojk ate the rectangle a) A square has the same area as the rectangle above what is the side length of this square

Answers

Answer: The length of one side of the square is 10 sq cm.

Step-by-step explanation:  Area of the rectangle = 4 x 25 = 100 sq cm.

Area of a square = s x s, where s is the length of the side of the square.

So, s x s = 100

Or, s^2 = 100

And, s = sqrt(100) = 10

A rectangle is such that its breadth is 2m less than its length. Find the length of the rectangle if the perimeter is 8mP​

Answers

[tex]\huge\mathbb\purple {✒✨ ANSWER ✨⚘}[/tex]

A rectangle is such that its breadth is 2m less than its length. Find the length of the rectangle if the perimeter is 8mP

[tex]ANSWER & SOLUTION[/tex]

Let breadth = XTHEN length=X+2Perimeter = 2(X + 2 +. X)Thus 2(2X + 2) = 84X + 4 = 84X = 4

Divide both sides by the same factor

[tex]4 \times = 4 \\ \frac{4 \times }{4} = \frac{4}{4} [/tex]

Cancel terms that are in both the numerator and denominator

Divide the numbers

[tex] x = \frac{4}{4 } [/tex][tex]\large\mathtt\green {x = 1 }[/tex]#BRAINLY EVERYDAY

1 in = 12 ft
1 in = 4 ft
Above are two different diagrams of the same backyard. If the length of the diagram on the left is 6 in, what is the length of the
diagram on the right?
OA. 19 in
ОВ.
18 in
OC. 2.00 in
OD. 9 in

Answers

Answer:

c 2.00 in vec ay se the back yard

please i really need help right now 25 points

Answers

Answer:

C.

Step-by-step explanation:

1) domain is: x≥7; range f(x)≥9.

2) answer C

Luke works in the shipping department of a toy company

Answers

Answer:

Could you send the question properly so I can Help you with the answer

Step-by-step explanation:

Thanks

Answer:

I don't understand the question.

NEED HELP PLEASE SINE/COSIGN LAW QUESTION RIGHT THE ANSWER OUT ON A PIECE OF PAPER AND SEND IT IF YOU HAVE TO MAKE SURE ITS CLEAR AND CORRECT. 45 points + brainliest​

Answers

Answer:

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

a: 42

b: 135 km/h

Step-by-step explanation:

For part A, you are given the adjacent and opposite side lengths so you need to use the tangent formula. On the calculator, it is tan^-1 (90/100)

For part B, I used the pythagorean theorem and did 100^2+90^2= 18100 and then took the square root of that to get 135.

Which equation can be simplified to find the inverse of y = 2x2?
StartFraction 1 Over y EndFraction = 2 x squared
y = one-half x squared
–y = 2x2
x = 2y2

Answers

The correct answer would be: x = 2y^2

Answer:

its D

Step-by-step explanation:

The probability that Lexie is on time for a given class is 95%. If there are 32 classes during the semester, what is the best estimate of the number of times out of 32 that Lexie is on time to class? Round your answer to the nearest integer.

Answers

Answer:

between 31 and 29 classes

Step-by-step explanation:

The best estimate of the number of times out of 32 that Lexie is on time to class is 30.4.

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

The probability that Lexie is on time for given class is 95% and there are 32 classes during the semester.

So,

=32 * 0.95

= 30.4

Learn more about his concept here:

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According to these three facts, which statements are true?

Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.


Select each correct answer.

The radius of circle V is 16.

The center of circle V is (−5, 0).

Circle V and circle W have the same center.

Circle V and circle W are similar.

Answers

a.

Circle W centre is (-3,0) - (0,-2)* = (-3,-2)

*note that the centre of the circle W is going down by 2 units this only affects the y axis hence the substraction

A dilation of a factor of 2 does not change the centre of the circle rather the radius ( the size of the circle decreases and hence the radius)

So now the radius becomes 8 UNITS/2 = 4UNITS

From the statements given,neither is correct

The population of a village has increased this year by 8 percent.This year it's population is 10,800.How much was it's population last year?​

Answers

Answer:

SOLUTION:-

Let,last year population be x.We have last year population+Increased population=10,800

[tex]x + 8\% \: of \: x = 10800[/tex]

[tex]\displaystyle{x + \frac{8x}{100} = 10800 }[/tex]

[tex]\displaystyle{ \frac{100x + 8x}{100} = 10800}[/tex]

[tex]\displaystyle{ \frac{108x}{100} = 10800}[/tex]

[tex]108x = 10800 \times 100[/tex]

[tex]108x = 1080000[/tex]

[tex]x = \displaystyle{ \frac{1080000}{108} }[/tex]

[tex]x = 10000[/tex]

Therefore,required last year population=10000

Answer:

The Correct Answer is 10,000.

Step-by-step explanation:

Becuase The Question itself is providing us that this year it increased by 8%. Then the said that the total population for this year is 10,800. So, that tells us that the 8% equal 800. 10,000+800=10,800.

10,800-800=10,000

The correct answer is 10,000.

Hope this helps you!!

Don't forget to Mark me Brainleast if my answer is correct!!

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How many rolls of wallpaper, each 10 yards long and 24 inches wide, will paper the sides of a room 12.1 feet by 17.1 feet and 8 feet high, deducting 129 ft2 for doors and windows?

Answers

Answer:

That corresponds to a width of 3.5 feet, so a yard of paper covers an area of 3 x 3.5 = 10.5 square feet

Please help me thank you!

Answers

Answer:

46.7%

Step-by-step explanation:

The fraction of youths preferring printedbooks

= 21/(21+24)

= 21/45

= 21 *100 / 45

= 46.67%

K'Drien has a recipe that needs 3/4 tablespoon of butter for every 2
cups of milk. If K'Drien increases the recipe such that he uses 6
cups of milk, how many
tablespoons of butter will he need?

Answers

Answer:

6/4. Simplified, is 1 2/4

Step-by-step explanation:

PLEASE HELP ME WITH THIS!!!!

Answers

Answer:

D: (x,y) → (x +1, y - 8)

Step-by-step explanation:

The red shape, KHIJ, is similar to the blue shape, KHIJ.

Looking at the shapes from the points K, Blue K is forward on the x-axis by 1, Hence x + 1.

Lokkin at the same points, but on y-axis this time. Red K is up 2 and Blue K is down 6. 2 + 6 = 8. Since the blue shape is down, make the 8 into -8. Now you have y -8.

Could someone help me to find the answer for this question, pls help

Answers

They answer is: summer at both the poles

A price of a motorcycle is Rs 175000. The year rate of deprecation is 4%. Find the price of motorcycle after 3 years

Answers

[tex]FV = PV (1 - \frac{r}{100})^n\\FV = 175000 (1 - \frac{4}{100})^3\\[/tex]

FV = Rs 154828.8

Find and interpret the mean absolute deviation of the data. 8,12,4,3,14,1,9,13
pleaseeee answer I really need help and I will fail math if I don't have an answer!

Answers

Answer:

Mean Absolute Deviation: 4

Step-by-step explanation:

A mean absolute deviation is measured how much the values in the data set are likely to differ from the mean.

Helium is a gas lighter than air that is used in balloons. The density of
helium is approximately 0.14 kilograms per cubic meter. You get 5 helium balloons for your 5th birthday, each with a volume of 14 cubic meters. How many kilograms of helium do the balloons contain, to the nearest hundredth?

Answers

Using proportions, given the density value, it is found that the ballons contain 9.8 kilograms of helium.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, we have that each ballon contain 0.14 kilograms per cubic meter.

You get 5 ballons, each with 14 cubic meters, hence the total volume is given by:

V = 5 x 14 = 70 m³.

Applying the density, we have that the total mass is given by:

M = 0.14 x 70 = 9.8 kilograms.

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Simplify.
2v^6•7u^7u^-5xv^-3•5x¯²

Use only positive exponents in your answer.

Answers

Answer:

(70*v^3*u^2)/x

Step-by-step explanation:

(2v^6 * 7u^7 * u^-5 * x * v^-3 * 5 * x^-2)

(2 * 5 * 7) * (v^6 * v^-3) * (u^7 * u^-5) * (x * x^-2)

70 * v^(6 - 3) * u^(7 - 5) * x^(1 - 2)

70 * v^3 * u^2 / x

Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out a jack of spades and then, without replacing the card to the deck, pick out a jack of diamonds?

Answers

Answer:

1/2652

Step-by-step explanation:

52 cards    one jack spades      1/52

now 51 cards left   one jack diamonds   1/51

1/52 * 1/51 = 1 / 2652

If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees?

Answers

Answer:

its 58

Step-by-step explanation:

The measure of angle 2 is 58 degrees

How to determine the measure of angle 2?

The figure that completes the question is added as an attachment

The given parameters are:

Angle 1 = 3x - 4Angle 2 = 4x + 10

Both angles add up to 90 degrees.

So, we have:

3x - 4 + 4x + 10 = 90

Evaluate the like terms

7x = 84

Divide both sides by 7

x =12

Substitute x =12 in Angle 2 = 4x + 10

Angle 2 = 4 * 12 + 10

Evaluate the expression

Angle 2 = 58

Hence, the measure of angle 2 is 58 degrees

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Find the Value of X.

Answers

Answer:

  x = 50

Step-by-step explanation:

The marked angles are vertical angles, so are congruent.

  3x -3 = 147 . . . . congruent angles have equal measures

  x -1 = 49 . . . . . divide by3

  x = 50 . . . . . . add 1

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