log6 8+ 2log6 3+log6 12-log6 24

Answers

Answer 1

after simplifying the logarithm expression log₆ 8 + 2log₆ 3 + log₆ 12 - log₆ 24, we get the result as log₆ 36.

We are given the logarithm expression as:

log₆ 8 + 2log₆ 3 + log₆ 12 - log₆ 24

Now, we can also write 2log₆ 3 as:

2log₆ 3 = log₆ 3²

So, the logarithm expression will become:

log₆ 8 + log₆ 3² + log₆ 12 - log₆ 24

Now, we will use the property that is:

logₐ x + logₐ y = logₐ (x × y)

So, we get the logarithm expression as:

log₆ ( 8 × 3² × 12   / 24)

=log₆ (8 × 9 × 12  / 24)

= log₆ (36)

= log₆ 36

Therefore, after simplifying the logarithm expression log₆ 8 + 2log₆ 3 + log₆ 12 - log₆ 24, we get the result as log₆ 36.

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Related Questions

can someone help me with this

Answers

Answer:

if im not mistaken its $11

Step-by-step explanation: dint know how to explain but i think its correct

100 points plus brainiest
The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.


x g(x)
1 81
2 83
3 85


Part A: Determine the test average for your math class after completing test 2. (2 points)

Part B: Determine the test average for your science class after completing test 2. (2 points)

Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)

Answers

after using each and every details of science class and maths class given in the question

solution of

part a - f(2) = 81

part b - g(2) = 83

part c - Test average for maths class after test 2 is greater

WHAT ARE FUNCTIONS ?

Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.

CALCULATION

f(x) = 0.5x + 80

solving (A) f(2) = 0.5 * 2 + 80

      = 1  +  80

       = 81

solving (B) : g(2) =83 when x= 2

so :

g(2) = 83

solving (C) : which is greater f(2) or g(2)

in (a) and (b)

f(2) = 81

g(2) = 83

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Answer:

part a - f(2) = 81

part b - g(2) = 83

part c - average for maths class after test 2 is greater

Step-by-step explanation:

Got it right

Which of the following is a binomial in y
(1) y² + √2
1
(2) y + +2
y
(3) √5 + √2y
(4) y√y+1

Answers

Answer:

Binomial polynomial means that no negetive power on the no

(1) y² + √2 is correct answer

a) Work out
Give
(5 x 10^3) * (9 x 10^7)
your answer in standard form.

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{(5\times10^3) \times (9\times10^7)}[/tex]

[tex]\mathsf{= (5\times 10\times 10\times 10)\times (9\times 10\times10\times10\times 10\times10\times10\times 10)}[/tex]

[tex]\mathsf{= (5\times 100\times 10) \times (9\times 100\times 100\times 100 \times 10)}[/tex][tex]\mathsf{= (5\times 1,000) \times {(9\times 10,000\times 1,000)}}[/tex]

[tex]\mathsf{= (5,000)\times(90,000\times1,000)}[/tex]

[tex]\mathsf{= (5,000)\times (90,000,000)}}[/tex]

[tex]\mathsf{= 5,000\times 90,000,000}}[/tex]

[tex]\mathsf{= 450,000,000,000}[/tex]

[tex]\mathsf{= 4.5\times10^{11}}[/tex]


[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{4.5\times 10^{11}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Find the number that makes the ratio equivalent to 4:5. 28:_

Answers

Answer:

7

Step-by-step explanation:4*7=28

Therefore 5*7=35

28:35= 4:5

Solve this equation -4(X-26)=-200

Answers

Answer:

x = 76

Step-by-step explanation:

First, distribute -4:

-4x + 104 = -200

Isolate x:

-4x = -200 - 104 = -304

x = -304/-4 = 76

-4(x - 26) = -200
-4x = -174
x = 43.5

Help please basic geometry

Answers

From the diagram in the image below, it can not be assumed that A C D is a right angle. Option A

This is further explained below.

What is a triangle's right angle?

Generally, In a triangle, a right triangle, also known as a right-angled triangle, an orthogonal triangle, or what was previously known as a rectangle triangle, is a triangle in which either one of the triangle's angles is a right angle or two of the sides are perpendicular to one another.

The relationship between the sides of a right triangle and the other angles provides the foundation for the study of trigonometry.

In conclusion, It is not possible to deduce from the diagram in the figure below that the angle ACD are right angles. Alternative A

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Witch is the equation of the given line?x = -3x = 3y = -3 y = -3x

Answers

y=-3

1) Since the graph shows us a horizontal line, where any value of x corresponds to y=-3

(2, -3), (3,-3) etc..

2) Then we have a constant function. y=-3

Answer:

y = - 3

Step-by-step explanation:

the line is horizontal and parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through.

the line passes through (- 4, - 3 ) and (2, - 3 ) both with y- coordinate - 3 , so

y = - 3 ← equation of line

Elijah buys 112 words of exterior equipment from thestereo store there is a 2.5% processing fee for using a credit card what is the total cost of the stereo quitman

Answers

Given,

Elijah buys $112 worth of exterior equipment from the stereo store.

Processing fee for using the credit card = 2.5%

Therefore,

Total cost of the exterior equipment

= Worth price + procession fee

= 112 + 2.5% of 112

= 112 + 2.8

= 114.8

Hence, the  total  cost would be $114.8

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which critical value is appropriate for a​ 99% confidence level where n​17, is​ unknown, and the population appears to be normally​ distributed? question content area bottom part 1 a. 2.567 b. 2.921 c. 2.898 d. 2.583

Answers

The critical value that is appropriate for a​ 99% confidence level where n​17, is​ unknown, and the population appears to be normally​ distributed is 2.921 (Option B).

What is the Critical Value in statistics?

A Critical value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

How did we arrive at the above conclusion?

We are given:

n=17, where n is the size of the set

df = n-1; (df means degree of freedom)

= 17-1

df = 16, at 99% confidence level.

Here we apply the t-test because the data is normally distributed.

∝ = 1-99% [Shere ∝ is the significance level)

= 0.01

∝/2 = 0.01/2

= 0.005

hence,


[tex]t_{\alpha /2} ,df[/tex]  = [tex]t_{0.005}[/tex], 16 = 2.921. this is derived using the T-Table.

The above leads us to conclude therefore that Option B is correct.

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help i don’t get it
answers pls

Answers

The value of x in the given right-angled triangle is 13.

What is the value of x?

A triangle is a polygon with three sides and three vertices. The sum of angles in a triangle is 180 degrees. A right triangle is a triangle in which one of its angles measure 90 degrees. The longest side of a right triangle is known as the hypotenuse.

180 = 39 + (3x + 12) + 90

Combine similar terms: 180 - 39 - 12 - 90 = 3x

Add similar terms together: 39 = 3x

Divide both sides of the equation by 3: x = 39/3

x = 13°

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Show the relationship between -5/6 and -7/10. Use an inequality symbol.

[number] / [number] < Fraction btw not division

Answers

The relationship between -5/6 and -7/10 is -5/6< -7/10.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.

It is given that,

Fraction 1,

-5/6 = -0.83

Fraction 2,

-7/10 = -0.7

As we know the value of  -0.7 is greater than -0.83.

As a result, the relationship is -5/6< -7/10.

Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.

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If f(x)=-x and j(x)=f(x)+19 list the following attributes

f(x): Slope Y-intercept Zero J(x) Slope Y-intercept Zero

Answers

The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If f(x) = - x and j(x) = f(x) + 19

Then the function j(x) will be given as,

j(x) = f(x) + 19

j(x) = - x + 19

The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.

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Please help me in your own words I only have 30 minutes

Answers

1) given

2) corresponding angle theorem

3) vertical angle theorem

4) transitive

The sum of a number and its half is thirty. Find the number​

Answers

Answer:

20

Step-by-step explanation:

The sum of a number and its half is thirty. Find the number​:

the formula would be:

1.5x = 30

divide both sides by 1.5:

1.5x/1.5 = 30/1.5

x = 20

check:

20 = 20

1/2 of 20 = 10

20 + 10 = 30

Answer:

x+0.5x=30

1.5x=30

x=20

Darrel divided 575 by 14 by using partial quotients. What is the quotient? Explain your answer using numbers and words.

Answers

Answer: 41 1/14

Step-by-step explanation:

      41R1 ==> 41 1/14

14|575

  -56

  ____

      15  

     -14

      __

       1

I need help on my homework it's hard​

Answers

91
x 43
———-
273
364
+
————
3913

Answer:

3913

Step-by-step explanation:

Step:1 setup

set up your multiplication problem like this

   91

  43

X_______

Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:

0

91

43

x_______

            3

Step 3:Multiply

3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:

91

43

X

----------

     273

step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:

91

43

X

_______

273

+       0

Step 5: Multiply

4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:

0

91

43

x

________

          273

+            40

Step 6:Multiply

4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:

91

43

x

__________

             273

+          3640

Step 7: Add to get answer

Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:

91

x   43

_________

            273

+          3640

____________

=  3913

Determine whether the relation is a function (explanation please)

Answers

A function is defined as a relation where each input value is paired with exactly one output value. The input -1 has 2 outputs, thus the relation is not a function.

Solve the following system of equations.

-8x -9y = 10
4x -5y = 14


(See picture attached)

Answers

Answer:

x=10 and y=-10

Step-by-step explanation:

-8x-9y=10

4x-5y=14

put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.

-5(-8x-9y=10)

-9(4x-5y=14)

the subtract the first equation from the second equation after multiplying.

40x+45y=-50

-

-36x+45y=-90

4x=40

x=10

Now get any equation from the two equations and find the value of y.

-8x-9y=10

-8*10-9y=10

-9y=10+80

-9y=90

y= -10

The equation 3(2x + 2) = 3x − 15 models the change in water level in a lake in one month. Solve for x, which is change in height in inches.

x = −7
x equals negative seventeen thirds
x = 3
x = 7

Answers

Answer:

x = -7

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

10(-8-2c) simplify expressions

Answers

10(-8-2c)

=(10)(-8 + -2c)

=(10)(-8)+(10)(-2c)

= -80 -20c

= -20c -80 <<< answer

YOU GET 50 POINTS ANMD BRAINLEST IF YOU ANSWER THIS CORRECTLY

Answers

Y = 3x + 1

Y = 3(1) + 1 = 4 ordered pair (1 , 4)
Y = 3(2) + 1 = 7 ordered pair (2, 7)
Y = 3(3) + 1 = 10 ordered pair (3, 10)
Y = 3(-1) + 1 = -2 ordered pair (-1, -2)

w = 2x squared + 1
workout the value of w when x = -3

Answers

Answer:

-35

Step-by-step explanation:

w = 2x^2 + 1

= (2 x -3)^2 +1

= -6^2 + 1

=-36 + 1

= -35

What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?

Answers

The equation of the line is y = 3x + 6

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the equation of the line?

The given parameters are

Slope, m = 3

y-intercept, c = 6

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = 3x + 6

Hence. the linear equation is y = 3x + 6

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The function $d(t)=300,000t$ represents the distance (in kilometers) that light travels in $t$ seconds.
a. How far does light travel in 15 seconds?

kilometers

b. How long does it take light to travel from the Sun to Earth?

Between
seconds and
seconds.

Answers

The distance of the light travels in 15 seconds is 4500000 kilometers.

How to illustrate the information?

It should be noted that a function is simply used to illustrate the relationship between the variables that are given.

In this case, the function is given as d(t) = 300000t. Therefore, it should be noted that the distance of the light travels in 15 seconds will be:

d(t) = 300000t

where t = 15

d(t) = 300,000 × 15

distance = 4,500,000 kilometers

The distance is 4500000 kilometers.

Note that the second question wasn't written properly and hence can't be solved.

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Factor completely.
25 - 9x²

Answers

IF YOU CHECK YOU WILL FIND THAT THIS IS A DIFFERENCE OF TWO SQUARES

[tex] = (5 - 3x)(5 + 3x)[/tex]

ATTACHED IS THE SOLUTION

Can someone please help me with this problem?​

Answers

Definition of congruence

Use the number line to add the fractions.



Drag and drop the answer into the box to match the sum.

Answers

The value gotten when -1/2 is added to 2/3 is 1/6.

What is the sum of the fractions?

Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.

[tex]-\frac{1}{2} + \frac{2}{3}[/tex]

[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

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given a function f (x), what transformation(s) take place in the graph of -f (x + 4)?

Answers

Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.

What is the transformation of the function?

We are told that a function f(x) undergoes transformation to get -f(x + 4).

Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.

Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.

Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.

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Find perimeter PERMITER NOT AREA

Answers

Answer:

perimeter = 38 units.

Step-by-step explanation:

30 + 7.85

= 37.85

≈ 38 units

Answer:

37.85 (Assuming you are supposed to estimate pi)

Step-by-step explanation:

First, add the easy stuff:

10+10+5+5=30

Then, find the circumference of the circle:

c = 2 π r

c = 2(5)π

c = 10π

Divide by 4:

10π/4 ≅ 7.85

7.85 + 30 = 37.85

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