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

Answer:

SOLUTION:-

[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!!

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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

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

Mira would pay $187.2

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

"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

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

Answer:

its D

Step-by-step explanation:

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

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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Answer:

C.

Step-by-step explanation:

1) domain is: x≥7; range f(x)≥9.

2) answer C

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

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

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.

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.

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

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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

Answer:

6/4. Simplified, is 1 2/4

Step-by-step explanation:

Answer:

46.7%

Step-by-step explanation:

The fraction of youths preferring printedbooks

= 21/(21+24)

= 21/45

= 21 *100 / 45

= 46.67%

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

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.

Answer:

c 2.00 in vec ay se the back yard

Answer:

its 58

Step-by-step explanation:

The measure of angle 2 is 58 degrees

The figure that completes the question is added as an attachment

The given parameters are:

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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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.

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.

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

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.

Answer:

16

Step-by-step explanation:

[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]

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

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]

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

FV = Rs 154828.8

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