Please Help! Determine the range of the following graph:

Answer:

The answer to the given question is 6

Logarithmic scale: A measurement scale in which the position is marked using the logarithm of a value rather than the actual value.

A logarithmic equation includes a logarithm in the variable x.

An exponential equation is one in which the variable is represented by an exponent. A logarithmic equation is one in which the logarithm of a variable-containing expression is used.

For logarithmic equations, log b (x) = y is equivalent to b^y = x such that x > 0, b > 0 and b is not equal to 1.

In the given problem, b = 6, x = 6 and y = 1

b = 6

x = 6

y = 1

Substituting the values of b, x and y into the equation b^y = x;

6^(1) = 6

therefore, the value of the given equation log₆6=1 is 6

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Answer:

0.05 metrs = 5 cetimeters

Step-by-step explanation:

1 meter = 100 centimeters

0.05 meters = 0.05 * 100 = 5 centimeters

After expanding logarithm equation is : [tex]\frac{3log_{10}(m)p^2}{n^4}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

[tex]\frac{log_{10} m^3}{n^4 \\ p^-2} \\[/tex]

apply formula log a^x = x log a

[tex]= > \frac{3 log_{10} (m)}{\frac{n^4}{p^2} }\\ \\= > \frac{3 log_{10} (m) p^2}{{n^4} }[/tex]

Thus, after expanding the logarithm equation is :  [tex]\frac{3log_{10}(m)p^2}{n^4}[/tex]

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Answer: -4

Step-by-step explanation:

5 - (x - 2)²=

5 - (-1 - 2)²=

5 - (-3)²=

5 - (3)²=

5-9=-4

Answer:45

Step-by-step explanation:

Answer:

base of 3 --> 3^4 (three to the fourth); base of 9 --> 9^2 (nine squared)

Step-by-step explanation:

3 x 3 = 9 x 3 = 27 x 3 = 81 = 3^4

You multiply 3 by itself 4 times.

9 x 9 = 81 = 9^2

You multiply 9 by itself 2 times.

The missing angles of the Triangle are; ∠1 = 62°; ∠2 = 45° and ∠3 = 22°.

We know that the sum of angles on a straight line is 180 degrees. Thus, we can say that;

∠1 + 118° = 180°

∠1  = 180 - 118

∠1 = 62°

We also know that sum of angles in a triangle is equal to 180°. Thus;

∠1 + ∠2  + 73 = 180

Plugging in the relevant value gives;

62 + ∠2  + 73 = 180

∠2 = 180 - 135

∠2 = 45°

∠2 + ∠3 = 180 - (∠1 + 49)

∠2 + ∠3 = 180 - (62 + 49)

45° + ∠3 = 69

∠3 = 22°

Thus, we conclude that the missing angles of the Triangle are; ∠1 = 62°; ∠2 = 45° and ∠3 = 22°.

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Answer:

15.5

Step-by-step explanation:

We are trying to find out:

38.7% of what number is 6?

38.7% as a decimal is .387

.387x = 6  Divide both sides by .387

x = 15.503875969

Round 15.5

Based on the sample space, the probability of P(32) is 1/90

The probability of an event is the chance or the likelihood that the event would occur.

Note that the chance or the likelihood is represented as a numerical value

The sample space is given as

Space = two-digit numbers

There are 90 two-digit numbers

So, the sample size is

Size = 90

There is only one two-digit number with the value 32

So, we have

n(32) = 1

The probability of selecting 32 is

P(32) = n(32)/Size

So, we have

P(32) = 1/90

Hence, the probability of P(32) is 1/90

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If the inverse of f exists, it is represented by f⁻¹ and exists only if f is a bijective function.

If x = -3 then (f ⁰ g⁻¹)(x) is 23.

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.

An inverse in mathematics is a function that serves to "undo" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f1.

Let the two functions be f(x) = 3x² - 4 and g(x) = x - 2

(g⁻¹)(x) = 1 - 2

(g⁻¹)(x) = -1

substitute (g⁻¹)(x) value in (f ⁰ g⁻¹)(x)

(f ⁰ g⁻¹)(x) = (f ⁰ ) (-1)

then f(x) equation is 3 x² - 4 substitute -1 in x

f(-1) = 3(-1)² - 4

f(-1) = -1

Now when x = -3 the (f ⁰ g⁻¹)(x) value is

f(-3) = 3(-3)² - 4

f(-3) = 23

Therefore, the value of (f ⁰ g⁻¹)(x) for x = -3 is 23.

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The pair of numbers that have the greatest common factor of 3 will be:

18 and 15

6 and 9

3 and 9

It should be noted that the factor of a number can be multiplied with another number that get the original number.

Therefore, the of pair of numbers that have the greatest common factor of 3 will be:

18 and 15

6 and 9

3 and 9

It should be noted that they have 3 as a common factor.

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Answer:

The exact conversion rates between Liters and Gallons is as follows...

1 Liter = 0.264 Gallons

and

1 Gallon = 3.785 Liters

Answer:

Rebecca originally had 240 dollars.

Step-by-step explanation:

Let's set B as Rebecca's money and C as Rachel's.

Rebecca has twice as much money as Rachel

B = 2C

If Rebecca gives Rachel $60, then the two of them will have the same amount of money

B - $60 = C + $60

let's combine the 2 by subtracting the second from the first

B - (B - $60) = 2C - (C + $60)

$60 = C - $60

$120 = C

so Rachel had 120 dollars.

Rebecca had twice as much, so 240 dollars.

If Rebecca gives $60 to Rachel, they have $180 each. Everything checks out.

Answer:

i guess X=5 because 3+5=8?

Step-by-step explanation:

The equation that is equivalent to the slope formula is y₂ = m(x₂ - x₁) + y₁

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope between two points A(x₁, y₁) and B(x₂, y₂) is:

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

m = (y₂ - y₁) / (x₂ - x₁)

m(x₂ - x₁) = y₂ - y₁

y₂ = m(x₂ - x₁) + y₁

The equation that is equivalent to the slope formula is y₂ = m(x₂ - x₁) + y₁

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Answer:

7/12

Step-by-step explanation:

i used lowest common denomator

Answer:

answer is 7/12

Step-by-step explanation:

hope this helps

After dividing the paint in each container there are 3.65 liters of paint in each container.

what is division?

in the process of dividing a number up into equals parts and getting how many same numbers can be made. this process opposite of multiplication.

Quantity of red paint = 6.54 liters

Quantity of blue paint = 6.09 liters

by addition, quantity of purple paint = 12.63 liters

According to the question 1.68 liters paint left over then remaining paint by Subtraction = 10.95 liters 10.95 liters paints divided into 3 containers then the paint in each container is 3.65 liters.

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Answer:

Graph in the image above

Step-by-step explanation:

Yes the students have a party is mrs. Morton reward them 313131 additional times.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most of the time, size comparisons between two numbers on the number line are to be made.  Different types of inequalities are represented by a variety of notations, including: The symbol a b indicates that an is smaller than b. When a > b is used, it indicates that an is bigger than b. A is not equivalent to b in any scenario. Since a is apparently less than or solely greater than b, these relationships are known as stringent inequalities. Equivalence is not considered.

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Answer: d3 = - 17/2

correction:  This is an explicit formula

All we have to do is plug n = 3 in the formula to find the 3rd term.

2. d(3)=-5(1/2)3-1

= -5/4

Step-by-step explanation:

The correct answer is 2x - y +7 =0.

Various equations like equation of slope, y-intercept, slope- intercept must be known.

We have a line equation in the provided problem, and we must determine the slope and intercepts in order to create the graph. Assuming that m is the slope and c is the y-intercept, the slope intercept form is known as y=mx+c. We may determine the slope by utilizing the slope intercept formula.

The equation for the line in the problem can be written using the point-slope formula. The linear equation's point-slope form is: (y-y1) = m(x-x1)

( y - (3))=-2(x-2)

y - 3 = 2x + 4

2x - y +7 =0

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The simplified form of the expression [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex] is [tex]\frac{3x^{3}-x^{2} -7x-3 }{(x-2)}[/tex]

As per the question statement, we are provided with an expression  [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex].

We are supposed to simplify the above mentioned expression.

To solve this question, let us simplify the expression, part by part, i.e., first, let us consider the numerator part which is

[2x² + 3x³ - 3x² -3x -4x - 3].

Here, it is clearly visible that the numerator expression consists of terms having same same variable but with different coefficients, such as

[2x², -(3x²)] and [-(3x), -(4x)]. Therefore, we can perform the mentioned operations on the like terms and thus simplify our numerator.

[tex][2x^{2} +(-3x^{2} )]=(2x^{2} -3x^{2} )=-(x^{2})\\[/tex]

And, [tex][(-3x) + (-4x)]=-(3x+4x)=-x(3+4)=-(7x)[/tex].

Hence, [tex](2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=[+3x^{3}+(2x^{2} -3x^{2})-(3x+4x)-3]\\or, (2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=[+3x^{3}+(-x^{2} )-7x-3]\\or, (2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=(+3x^{3}-x^{2}-7x-3)\\[/tex]

And our denominator is (x - 2). Since, [2x² + 3x³ - 3x² -3x -4x - 3] does not equate to Zero for (x = 2), there (x - 2) is not a factor of the numerator, i.e., the numerator cannot be exactly divided by the denominator.

Therefore, the simplest form of our expression  [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex] is [tex]\frac{3x^{3}-x^{2} -7x-3 }{(x-2)}[/tex].

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The simplest form of the quotient √72x⁵y³z⁸/√3xy²z² is (B) 2x²z³√6y.

So,

Then,

Therefore, the simplest form of the quotient √72x⁵y³z⁸/√3xy²z² is (B) 2x²z³√6y.

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Answer:

inductive

Step-by-step explanation:

vbkugu stottlxd5xlhlhclxylyyldydpdyxyo

The correct interpretation for the given expression is the sum of x and y raised to the power of half n

The expression is given as

(x + y)^n/2

To interpret the expression, we start by evaluating the expression in the bracket and the exponent

So, we have

Hence, the correct interpretation for the given expression is the sum of x and y raised to the power of half n

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The amount of markup on a single rose is $2.96

Profit = Selling Price – Cost Price.

We have,

We can consider the cost price as:

Bought amount = $12.96

We can consider the selling price as:

Selling amount = $48.48

Now,

Markup price can be considered as the profit:

Profit = Sellin price - Cost price

Profit = $48.48 - $12.96

Profit = $35.52

Since in a dozen we have 12 roses the markup price for each rose is:

= $35.52 / 12

= $2.96

Thus the amount of markup on a single rose is $2.96

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The annual academic scholarship amount is $15000.

This problem can be solved by unitary method and also by addition and subtraction.

Total annual tuition fee of Marshal is $20000.

His annual earning through the scholarship is $11000.

He also took an loan of about $20000 from student loan.

Total fee for the four years Bachelor's degree in Physics is = $20000×4

                                                                                                   = $80000

He cleared $20000 by student loan then remaining amount

 =(80000-200000)

 = $60000

Then the amount he earned through the scholarship program in total to clear the dues = $60000

Annual amount of scholarship is =$15000

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[tex]y =\begin{cases}x + 1 \: \: \: \: \: \: \: \: x >2\\x + 2 \: \: \: \: \: \: \: \: x \leqslant 2\end{cases}[/tex]

According to the graph,

Let y = [tex]{m_1}[/tex]x + [tex]b_1[/tex] [[tex]b_1[/tex] = 2]

when x = -2 , y = 0

-2[tex]m_1[/tex] + 2 = 0 [[tex]{m_1}[/tex] = 1]

→ So when x ≤ 2 , y = x + 2

Let y = [tex]m_2[/tex]x + [tex]b_2[/tex]

[tex]m_2 = \frac{4 - 3}{3 - 2} = 1 \: \: \: \: \: \: \: \: \: \: [m = \frac{y_2 - y_1}{x_2 - x_1} ][/tex]

when x = 2 , y = 3

3 = 2 × 1 + [tex]b_2[/tex] , [tex]b_2[/tex] = 1

→ So when x > 2 , y = x + 1

[tex]y =\begin{cases}x + 1 \: \: \: \: \: \: \: \: x >2\\x + 2 \: \: \: \: \: \: \: \: x \leqslant 2\end{cases}[/tex]

Step-by-step explanation:

3x² - 16x + 2 = 0

ax² + bx + c = 0

a = 3 , b = -16 , c = 2

= p + q.(1 + p)

= p + q + p.q

= -b/a + c/a

= -(-16)/3 + 2/3

= (16 + 2)/3

= 18/3

= 6

The direct variation equation can be used to find other combinations of x and y is y² = 4x³/27

Direct variation is variation in which one quantity increases as another quantity increases or decreases as anothe rquantity decreases.

Since we have that the square of y varies directly as the cube of x.

Writing this as a direct variation mathematically, we have

y² ∝ x³

So, the direct variation equation is

⇒ y² = kx³ where k = constant of proportionality

Now, given that when x = 4, y = 2.

Substituting the values of x and y into the equation, we have

y² = kx³

2² = k(3)³

4 = k(27)

k = 4/27

Substituting the value of k into the expression, we have

y² = kx³

y² = 4x³/27

So, the direct variation equation can be used to find other combinations of x and y is y² = 4x³/27

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After expanding logarithm equation is : [tex]3.log_3(xy^\frac{1}{3} + z^2)[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

[tex]log_3[xy^\frac{1}{3} + z^2]^3[/tex]

apply formulas log a^x = x log a

=> [tex]3.log_3(xy^\frac{1}{3} + z^2)[/tex]

Thus, after expanding the logarithm equation is : [tex]3.log_3(xy^\frac{1}{3} + z^2)[/tex]

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