Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.​

Answer:

1/3 and 10/11, or 9/27 and 40/44

Step-by-step explanation:

Simplified 3/9  by 3.

Simplified 20/22 by 2.

Answer:

For 3 over 9 = 1/3, 6/18, 9/27 For 20 over 22 = 10/11, 40/44, 60/66

Step-by-step explanation:

You can simplify the fraction or multiply by the same amount of number to numerator and denominator.

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

First multiply 2 with terms inside the matrix

[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

Now adding matrices on left side

[tex]\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

Now both sides are equal , so we can say that

[tex]-2x+10=-8 \ and \ 1+2y=-13[/tex]

Solving equations and finding values of x and y

Finding value of x

[tex]-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9[/tex]

Finding value of y

[tex]1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7[/tex]

So, value of x=9 and value of y= -7

Answer:

$450>$235

Step-by-step explanation:

This is because, when 235 is subtracted from 450 there is a great difference thats why $450 is greater than $235

Answer:

a

Step-by-step explanation:

14x+42=35

14×=35-42

14× = -7

×= -7/14

×= -1/2

Answer:

A

Step-by-step explanation:

Given f(x) = 14x + 42 and f(x) = 35, then equate right sides, that is

14x + 42 = 35 ( subtract 42 from both sides )

14x = - 7 ( divide both sides by 14 )

x = - [tex]\frac{7}{14}[/tex] = - [tex]\frac{1}{2}[/tex] → A

Answer:

$15 in 1 hour

Step-by-step explanation:

1 hour = 60 mins

60 mins divided by 8 = 7.5

7.5 x 2 = 15

Answer:

$15 dollars an hour

Step-by-step explanation:

There are 60 minutes an hour

So you will need to divide 60 by 8

60/8= 7.5

7.5*2=15

$15 dollars an hour

Answer:

5304

Step-by-step explanation:

[tex]\blue{\boxed{\boxed{\bold{i'm \: Confused}}}} [/tex]

Answer: 12

Step-by-step explanation: So VE and TE are equivalent because diagonals bisect. So you can set up an equation. 4+2x=4x-4. Simplify the equation, and you get 2x=8. X=4. So plug 4 into the equation. TE is equal to 12.

Answer:

360 miles

Step-by-step explanation:

60:1

1x6=6

60x6=360

360 miles to 6 hours

360 miles

Best,

SunflowerJada

Answer:

I think it's z= 110/3

Step-by-step explanation:

Answer:

z = 36.68

Step-by-step explanation:

Answer: are We able to join them

Step-by-step explanation:

Answer:

First box is The square is made up of 4 congruent right triangles and one small square.

Second box is Moving two of the triangles changes the figure's shape, but not it's area.

Answer:

Like N=ky?

Step-by-step explanation:

Answer:

its easy...are u in 5th

Step-by-step explanation:

Answer:

$32.50

Step-by-step explanation:

To answer this question, find the price per widget by dividing $7.50 by the number of widgets (12)

7.50 / 12 = 0.625

You may be tempted to round to 0.63 here, and maybe that is what your teacher wants, but typically you save rounding for the end of your calculations. So let's keep the price-per-widget at 0.625 and multiply it by the 52 widgets to find the total cost.

0.625 * 52 = 32.5 or $32.50

Answer:

I'm sorry I have no clue I'm not that smart but I would just like to say that I like your profile picture

Although I replied late, nobody gave the answer.

The answer you are looking for is C). But how do you know it's correct? Do some calculation.

Child bike: 4 hours to build + 4 hours to test = 8 hours total

Adult bike: 6 hours to build + 4 hours to test = 10 hours total

5*4 = 20 build hours for child bikes

5*4 = 20 test hours for child bikes

15*6 = 90 build hours for adult bikes

15*4 = 60 test hours for adult bikes

20 + 20 = 40 total hours for child bikes

90 + 60 = 150 total hours for adult bikes

20 + 60 = 80 total test hours

20 + 90 = 110 build hours

Since this amount is below the maximum, the bike order DOES meet the restrictions.

Our equations should be 4c + 6a ≤ 120 for the total building hours, and 4c + 4a ≤ 100 for the total testing hours.

In conclusion, the answer is C) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.

Answer:i can't see it post a better one

Step-by-step explanation:

Answer:

All real numbers.

Step-by-step explanation:

f(x) = -x - 2 + 2

~Combine like terms

f(x) = -x

This function does not have any constraints so x can be equal too any real number.

Best of Luck!

Answer: -2

Step-by-step explanation:

add two to both sides

X-2<0

-X<2

Times -1 to both side

X<-2

Flip the sign When you have a negative.

Answer: the answer  is 3/48

We can write "3/4 divided by 12" as a fraction as 1/15.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. Division helps to split a given number into equal parts.

Given is to find -

"3/4 divided by 12" as a fraction.

We can write - "3/4 divided by 12" as a fraction -

{x} = 3/4 ÷ 12

{x} = 3/4 x 1/12

{x} = 3/48

{x} = 1/15

Therefore, we can write "3/4 divided by 12" as a fraction as 1/15.

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Answer:

0

Step-by-step explanation:

Answer:

up 25%

Step-by-step explanation:

it went increased by 25% from the beginning point

9514 1404 393

Answer:

  up 26%

Step-by-step explanation:

The first change multiplied the temperature by 1+5% = 1.05.

The second change multiplied that result by 1+20% = 1.20.

Then the end result was multiplication by ...

  1.05 × 1.20 = 1.26 = 1 + 26%

The temperature increased by 26%.

Answer: The answer is b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The magnitude is 25 and the direction angle of vector c is 73.7°. Option D is correct.

Given, a=⟨2,10⟩, b=⟨-5,-14⟩, c=a-b

We need to find what is the magnitude and direction angle of vector c.

Given a position vector v=⟨a,b⟩, the magnitude is found by |v|=√a²+b². The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=[tex]tan^{-1}[/tex](ba).

Now, vector c=⟨7,24⟩|c|=[tex]\sqrt{7^{2} +24^{2} }[/tex]=25angle =tan(θ)=(168)⇒θ=[tex]tan^{-1}[/tex](168)= 73.7°.

Hence, the magnitude is 25 and the direction angle of vector c is 73.7°.

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Answer: -2/11

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

your answer is 20

Step-by-step explanation:

20/tan 45 wich

Answer:

x=3

Step-by-step explanation:

Answer:

Pi is approximately 3.14 in decimal form and [tex]\frac{22}{7}[/tex] in fraction form.  

Answer:

y=6x-5

Step-by-step explanation:

1) Use slope formula to find the slope.  Slope is 6

1a) Substitute (1,1) in the equation. -5

1b) y=6x-5

Hope this helps :-)