Write each expression as a single logarithm.
log₆24-log₆4

Answer:

12%

Step-by-step explanation:

Odds in favor means number of favorable outcomes : number of unfavorable outcomes

Here favorable outcome is selecting a left-handed person

So odds of 3:22 means that the ratio of selecting  left-handed person to right-handed person is [tex]\frac{3}{22}[/tex]

P(left) = [tex]\frac{3}{3+22} = \frac{3}{25}[/tex]

P(left) as percent = [tex]\frac{3}{25}\cdot100[/tex] = 12%

The value of 6300 kg in grams written in standard form will be 6.3 × 10^6.

It should be noted that the value of 6300 kg in grams will be:

1000 grams = 1 kilogram

= 6300 × 1000

= 6300000

= 6.3 × 10^6

Therefore, the value of 6300 kg in grams written in standard form will be 6.3 × 10^6.

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The value of the expression after rationalizing [tex]\frac{3+\sqrt{18} }{1+\sqrt{8} }[/tex] the denominator is [tex]\frac{3\sqrt{2}+9 }{7}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a square root or a cube root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{3+\sqrt{18} }{1+\sqrt{8} }[/tex]

Now, let [tex]y=\frac{3+\sqrt{18} }{1+\sqrt{8} }[/tex]

To rationalize the denominator we multiply and divide the expression by the conjugate 1 - √8.

[tex]y=\frac{3+\sqrt{18} }{1+\sqrt{8} } \times \frac{1-\sqrt{8} }{1-\sqrt{8} }[/tex]

[tex]y=\frac{(3+\sqrt{18})(1-\sqrt{8}) }{(1+\sqrt{8})(1-\sqrt{8}) }[/tex]

[tex]y=\frac{3-3\sqrt{8} +\sqrt{18}-(\sqrt{18} )(\sqrt{8} ) }{1-8}[/tex]

[tex]y=\frac{3-6\sqrt{2}+3\sqrt{2}-(3\sqrt{2})(2\sqrt{2}) }{-7}[/tex]

[tex]y=\frac{3-3\sqrt{2}-12 }{-7}[/tex]

[tex]y=\frac{-3\sqrt{2}-9 }{-7}[/tex]

[tex]y=\frac{3\sqrt{2} +9}{7}[/tex]

The value of the expression when rationalized [tex]\frac{3+\sqrt{18} }{1+\sqrt{8} }[/tex] is [tex]\frac{3\sqrt{2}+9 }{7}[/tex].

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The inverse function returns the original value for which the output of a function was given.

The inverse of this function is [tex]f^{-1[/tex](x) = -(x - 4/3)

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

A function's inverse is not always a function! To ensure that the inverse function is also a function, the original function must be a one-to-one function. A one-to-one function is one in which each second element corresponds to exactly one first element. (Each x and y value is only used once).

The inverse of a function is thought to be a reflection of the original function along the line y = x. Simply put; the inverse function is obtained by swapping the original function's (x, y) values.

Let the function be y = 4 - 3x

f(x) = 4 - 3x

y = 4 - 3x

simplifying the value of x, we get

x = 4 - 3y

x - 4 = -3y

x - 4/-3 = y

[tex]f^{-1[/tex]= - (x - 4/3)

The inverse of this function is [tex]f^{-1[/tex](x) = -(x - 4/3).

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The simplest form of the expression is 81 x⁴y⁸

We have given an expression (√9 x y²)⁴ .

On simplifying , we get

(√9 x y²)⁴ = (3 x  y²)⁴

                 = 3⁴x⁴y⁸              

                 = 81 x⁴y⁸

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In the linear equation, The value of the x is a 1/2.

According to the statement

We have to find that the value of the x in the linear equation.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equation is:

-2(x+4)+6 = -3

Then solve it

-2(x+4)+6 = -3

-2x-8+6 = -3

Now solve it then

-2x -2 = -3

-2x = -1

now, The value of x become

x = 1/2.

So, In the linear equation, The value of the x is a 1/2.

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Answer:

y=6x-3

Step-by-step explanation:

6 is the slope bur (0,-3) is the y-intercept. Therefore, you just need to plug in the y-intercept and slope into y=mx+b which will give you y=6x-3.

Answer:

ray DB I think good luck brother

Answer:look below

Step-by-step explaination

22X8=?

Answer: 210,000

Step-by-step explanation:

there are 120 seconds in 2 minutes.

125 times 120= 15,000

15,000 times 2= 30,000

so it spins 30,00 times in a day.

30,000 times 7=210,000

so it spins 210,000 times in a week.

Answer:since the bottom is 10cm and both tops are the same length that means its 5cm

Step-by-step explanation:YOU can divide 10 by 2

The expression that represents the power of a product property is a^m * a^n = a^(m + n)

This power of a product property states that when two powers that have the same base are multiplied, the exponents of the bases are added

The statement is given as

The power of a product property

The definition above implies that the representation of the power of a product property is

x^m * x^n = x^(m + n)

Using the above as a guide, we have

a^m * a^n = a^(m + n) -- option (d)

Hence, the expression that represents the power of a product property is a^m * a^n = a^(m + n)

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Classification of each of the listed as rational or irrational are done below

What is a rational numbers?

This is a term used in mathematics to refer to some set of numbers that are fractions where the numerator and the denominator are non zero digits. Rational numbers can be expressed as fractions.

Irrational numbers refers to numbers that cannot form a fraction

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The given equation in logarithmic form is 7^5 =16807

As given to us, the function is log₇16807=5

Let us write this function in exponential form using the definition of logarithm

logₐx=b

a^b=x

here the logarithm is log₇16807=5

thus 7^5=16807

hence the given equation in logarithmic form is 7^5 =16807

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The function has a domain of x ≥5 and a range of y≤3

Given that

To find

So, according to the question

We have

A square root can only be calculated in values equal to or greater than zero, so keep that in mind.

So, if we want the domain to be x > 5, then we must have:

[tex]\sqrt{x-5}[/tex].

Now that we also want the range to be equal to or less than 3, we need a constant term with a value of 3 and a negative coefficient before the square root, which gives us:

y = - [tex]\sqrt{x-5}[/tex] +3

Answer:

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Answer:

C.

[tex]y = - \sqrt{x - 5 + 3} [/tex]

Answer:

Step-by-step explanation:

ik u already know this.. im still gonna answer for points.

In order to find how much is 1 bottle of shampoo you just divide the $20 by 8.

Just use a calculator and you will get $2.50

Answer:

The answer will be $2.50

Step-by-step explanation:

All you do is divide 20 by 8 and you will get 2.5 and if you need to check the answer you can multiply 2.5 by 8

Hope this helps and may God bless you<3

Answer: The answer is -28.

Step-by-step explanation: 2+4-52+2+5+7+4 = -28

Hope this helped :D

Answer:

The correct answer is -28

Answer:

The solution to this equation is (9t)^(12) / (4a)^(6).

Step-by-step explanation:

It is given that [(4a³t²)/(9at^6)]^-3 which is to be simplified and solved to get the final answer.

Now,

let us have a look at the equation and observe the powers given;

=> [(4a³t²)/(9at^6)]^-3

So, let us convert the powers using the rules;

=> [(4a²)/(9t^4)]^-3

Further, we will apply the rule known as product of powers and we get an equation that is;

=> (4a)^(-6) / (9t)^(-12)

Now, after reciprocating both the powers as per the rules we get;

=> (9t)^(12) / (4a)^(6)

Therefore, the solution to this equation is (9t)^(12) / (4a)^(6).

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The value of x for the equation 2 x=1/2 is 0.25

A linear equation with one variable is one that has just one variable. It has the formula Ax + B = 0, with A and B being any two real integers and x being an ambiguous variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.

One method for expressing a linear equation is in the slope-intercept form (the equation of a line). Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is often simple.

Given,

2x = 1/2

x= 1/4

x = 0.25

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Answer:

44

Step-by-step explanation:

6(8)-4

48-4

44

Answer:The answer is 44

Step-by-step explanation:6 times 8 would be 48.48-4 is 44.

Answer:

3

Step-by-step explanation:

I can figure this out by counting, I just imagine its a rectangle, count the 6 squares, the cut it in half

Answer:

3

Step-by-step explanation:

Translate it 3 units left, then turn it 180 degrees starting from its right side to its left side. Now, the triangle is mirrored.

The answer is g= -3x+6

The g function can be obtained from the graph using two points, the first (0,6) and the second (2,0).

Remember, a line has the following equation:

y=mx=b, where 'm' is the slope and 'b' the interception with 'y' axis

b=6, since x=0 and y=6.

Now to find the slope, lets use the following equation:

With the previously obtained point.

We have m=-3

Hence our function g has the following

g= -3x+6

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Answer:

mean is the sum of all the values divided by the total values.

Step-by-step explanation:

so total values are 6, and the sum of all the values is: 1+29+27+28+30+27

                                                                                         = 142

so now the mean is 142÷6=   23.67

Answer:

x = 15 , ∠ B = 108°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent

∠ A = ∠ B , that is

6x + 18 = x + 93 ( subtract x from both sides )

5x + 18 = 93 ( subtract 18 from both sides )

5x = 75 ( divide both sides by 5 )

x = 15

Then

∠ B = x + 93 = 15 + 93 = 108°

Answer:

2.043

Step-by-step explanation:

The solution for equation ln (3 x+5)²=4 is 0.796.

ln (3 x+5)²=4

2 ln (3x + 5)= 4

3x + 5 = [tex]e^{2}[/tex]

3x = 7.389-5

x = 0.796

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Two expressions joined by the equals symbol ("=") form an equation. The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero.

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Step-by-step explanation:

The perimeter of a trapezoid is All the sides combined. We already know two of the sides. You can simplify the square roots to be 2[tex]\sqrt{2}[/tex]+6+x. We know that two sides (or the ones we don't know) are equal, and we see an altitude. This shows that we can make a right triangle be a^2+b^2=c^2. Once we substitute everything, we find [tex]2\sqrt{2}[/tex]^2(or 8)+x^2+c^2. This means that we now need to find x. Also, sorry, but I don't know what to do after this so I hope you can solve it from here. The things you need to find out are c^2 and x.

Alice is wrong. Not all numbers that end with 7 is a prime numbers. an example is 57.

Prime numbers are numbers that are divisible by 1 and themselves alone. Examples are 2, 3, 7,17, and 11. However, 7  and 17 being prime numbers does not make any other number ending with 7 a whole number. E.g 57, a number that ends with 7 but it is not a prime number because it is divisible by 3.

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The completely factorised form of the expression given in the task content as given is; (3x +6) (x+b).

In order words, when the above given polynomial expression is being factorized, it gives (3x +6) (x+b) as its complete factorized form.

It follows from the task content that the expression which is required to be factorized completely is given below as;

3x² + 3bx + 6a + 6b

So therefore, the mathematics expression can be factored completely as follows step by step:

(3x² + 3bx) + (6x + 6b)

3x(x + b) + 6(x+b)

Ultimately, the completely factorized form of the mathematical expression as indicated in the given expression above is therefore represented as thus;

(3x +6) (x+b)

Therefore, The completely factorised form of the expression given in the task content as given is; (3x +6) (x+b).

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Answer:

3(x – 2)(x + b)

Step-by-step explanation:

I got it right on the test.