NEED THIS ASAP PLSSS HELP

Answer:

[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]

Step-by-step explanation:

Logarithms

Some properties of logarithms will be useful to solve this problem:

1. [tex]\log(pq)=\log p+\log q[/tex]

2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]

3. [tex]\displaystyle \log p^q=q\log p[/tex]

We are given the equation:

[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]

Applying the second property:

[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]

Substituting:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]

Applying the first property:

[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]

Operating:

[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]

Rearranging:

[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]

Simplifying:

[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]

Dividing by 3:

[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]

Applying the third property:

[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]

Applying inverse logs:

[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

Answer:

I believe the answer is C. hope this helps

Answer:

C

Step-by-step explanation:

uh i DD this answer on a test so ya

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5)    ⇒   x₀ = -5,  y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

The answer is A

Step-by-step explanation:

Answer:

9 inches

Step-by-step explanation:

Given that,

For the graph, 1/2 inch represents 20 miles.

We need to find the distance between the cities on the map if the actual distance between the two cities is 360 miles.

1/2 inch = 20 miles

1 mile = [tex]\dfrac{\dfrac{1}{2}}{20}=0.025\ \text{inches}[/tex]

For 360 miles, = 0.025 × 360

= 9 inches

Hence, the required answer is 9 inches.

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Area of rectangle = length × width.

Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Thus:

Length of rectangle = distance between (0, 0) and (5, 5)

[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]

Width of rectangle = distance between (5, 5) and (6, 2)

[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]

Area of rectangle = √50 × √10

= √500

Area = 10√5

Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5

Learn more about area of rectangle on:

https://brainly.com/question/25292087

Answer:

A

Step-by-step explanation:

(2x2)3

= (4)3

=12

6x2 = 12

So the answer is A

Answer:

H.

Step-by-step explanation: Best one out of the rest, I'm 75% sure it may be right just by memory.

Answer: 161.6 seconds

Step-by-step explanation:

1. 8.216 + 3.652 = 11.868 (add together, this is for one car)

2. 11.868 x 42 = 161.6

Answer:

Answer: X=12

Explanation: 180-72= 108. 108/9 = 12

Step-by-step explanation:

Answer:

3.05

Step-by-step explanation:

Step-by-step explanation:

(9a4 + 2a2 + 5) – (16a4 – 7a2 + 1)

A. 25a4 – 5a2 – 4

B. –7a4 – 5a2 + 6

C. 25a8 + 9a4 + 6

D. –7a4 + 9a2 + 4

5.Multiply 9x2(2x2 + 8x).

A. 18x4 + 72x3

B. 18x2 + 72x3

C. 11x4 – 17x3

D. 90x4

Answer:

2p^2-p + 5/2

Step-by-step explanation:

Here, we want to use long division method

Please check attachment for the long division process

According to the long division, the answer is

2p^2-p + 5/2

To check the answer, we multiply the binomial by the result of the division

That will be;

(2p-1)(2p^2-p + 5/2)

= 4p^3-2p^2+5p-2p^2+p-5/2

= 4p^3-2p^2-2p^2+5p+p-5/2

= 4p^3-4p^2+ 6p - 5/2

we then conclude that our answer is correct

Answer:

9.6km

Step-by-step explanation:

3200/(1/3)=

3200*3/1=9600 m=9.6km

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

Answer:

C

Step-by-step explanation:

Trust me and vote brainliest

Answer:

33=2(4)+3x

8 Three Points

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42

Answer:

1407.43 would be your answer

Step-by-step explanation:

The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)

Answer:

1/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine Like Terms:

=2+2+3x^10

=(3x^10)+(2+2)

=3x^10+4

Answer:

34

Step-by-step explanation:

2+2+30 Simplify

34 add the numbers

Hope that helps

Luke charged an amount of $37.18 in sales tax which is determined by the evaluation of 6.25% of 595.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Luke bought a computer for $525 and two computer games for $34.99 each. The sales tax rate was 6.25%.

⇒ 525 + 2×34.99 = 595

We have to determine the evaluation of 6.25% of 595.

⇒ 6.25% of 595

6.25%  is expressed as 6.25/100 in fractional form

⇒ (6.25/100)(595)

6.25/100  is expressed as 0.0625 in decimal form

⇒ (0.0625 )(595)

Apply the multiplication operation, and we get

⇒ 37.18

Therefore, Luke charged an amount of $37.18 in sales tax.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ6

Answer:

$2.16

Step-by-step explanation:

Amount of change received

= $[5.00-0.25(6)-0.40(2)-0.18(3)]

= $(5.00-1.50-0.80-0.54)

= $2.16