condense the logarithm

Condense The Logarithm

Answers

Answer 1

After condense the logarithm we get;

⇒ log (dˣ / g)

We have to given that;

Expression to simplify is,

⇒ x log d - log g

Now, We can condense the logarithm as,

⇒ x log d - log g

Since, n log m = log mⁿ

⇒ log dˣ - log g

Since, log m - log n = log (m/n)

⇒ log (dˣ / g)

Thus, After condense the logarithm we get;

⇒ log (dˣ / g)

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Related Questions

Fred has a spinner that is split into four equal sections red blue green yellow fred spun the spinner 848 times what will be a good estimate of the number of times the spinner lands on the green section

Answers

Answer:

212 times

Step-by-step explanation:

If each section of the spinner has a theoretical probability of 1/4 being landed on, then you can expect the spinner to land on the green section 848(1/4)=212 times

Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?

Part 2***

Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

Not all parallelograms are rhombuses, some parallelograms include rectangles, squares, hexagons, etc.

No. Jan is not correct. So, all parallelograms are not rhombuses.

What is a rhombus?

A rhombus is a parallelogram because the opposite sides are parallel but every parallelogram is not a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

here, we have,

We need to identify the properties of the given figure in order to answer why one figure can not be the other one:

A rhombus has all sides equal as well as parallel but all angles might not be right angles.

A square has all four sides equal and has 4 right angles.

A rectangle has equal opposite sides and 4 right angles.

A parallelogram has opposite parallel sides.

Hence, a rhombus can be a parallelogram because the opposite sides are parallel but every parallelogram can not be a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Not all parallelograms are rhombuses, some parallelograms include rectangles, squares, hexagons, etc.

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Can someone please help me??? ahhh

Can someone please help me??? ahhh

Answers

Volume of the cylinder

\( = \pi {r}^{2} h\)

r = 4

h = 9

Volume

\( = \pi \times {4}^{2} \times 9 \\ = 3.14 \times 16 \times 9 \\ \)

\( = {452.16}^{3} \)Option A is the correct answer

Hope this will help....

What is the equation of this line?

What is the equation of this line?

Answers

y=2x+0 is the slope for this line

Answer:

k = 2

1x = 2y

x = 2y

could you help me out

Answers

we must use trigonometric ratios to solve the right triangle

i will use the cosine

\(\begin{gathered} \cos (\alpha)=\frac{A}{H} \\ \end{gathered}\)

where alpha is the angle, a the adjacent side and H the hipotenuse,

so replacing

\(\cos (73)=\frac{6}{x}\)

now solve for x

\(\begin{gathered} x=\frac{6}{\cos (73)} \\ \\ x=20.52 \end{gathered}\)

so the right option is I

could you help me out

Which pair of related inequalities can be graphed to find the solution set to log(x + 90) ≥ 7?


A. y ≥ log(x + 90) and y ≤ 7

B. y ≥ log(x + 90) and y ≥ 7

C. y ≤ log(x + 90) and y ≤ 7

D. y ≤ log(x + 90) and y ≥ 7

Which pair of related inequalities can be graphed to find the solution set to log(x + 90) 7?A. y log(x

Answers

Answer:hi the answer is D

Step-by-step explanation:

i just took the test!

Answer:

D

Step-by-step explanation:

Edg2021

In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
​ i)) that is the generator of the observed points in the plot f ′
(x −
​ i), for points x −
​ 1=−1,x −
​ 2=−0.9,…,x −
​ n=1?

Answers

The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.

The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.

To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.

Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.

The constant of integration arises because integration does not provide a unique solution.

The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.

To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.

It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.

Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.

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What is the answer to this
3/5 + (-1/5)=

Answers

Answer:

4/5

Step-by-step explanation:

3/5+1/5

3+1 /5

simplifies to:

4/5

Simplify the following without a calculator: (5)(6+4)

Answers

Answer:

your answer is 50 I hope it's helps you t

Answer:

50

Step-by-step explanation:

(5)(6+4)

5(6)+5(4)

30+20

50

THANK YOU

meredith is a general surgeon who performs surgeries such as appendectomies and laparoscopic cholecystectomies. the average number of sutures that meredith uses to close a patient is 37, and the standard deviation is 8. the distribution of number of sutures is right skewed. random samples of 32 are drawn from meredith's patient population, and the number of sutures used to close each patient is noted. use the central limit theorem to find the mean and standard error of the sampling distribution. select the statement that describes the shape of the sampling distribution. group of answer choices unknown the sampling distribution is normally distributed with a mean of 37 and standard deviation 1.41. the sampling distribution is right skewed with a mean of 37 and standard deviation 8. the sampling distribution is normally distributed with a mean of 37 and standard deviation 8. the sampling distribution is right skewed with a mean of 37 and standard deviation 1.41.

Answers

The statement that accurately describes the form of the sampling distribution is:The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

According to the central limit theorem, regardless of how the population distribution is shaped, the sampling distribution of the sample mean will be approximately normally distributed for a sufficiently large sample size.

For this situation, irregular examples of 32 are drawn from Meredith's patient populace, which fulfills the state of a sufficiently huge example size. The central limit theorem can be used to determine the sampling distribution's mean and standard error.

In this instance, the population mean, which is 37, is equal to the mean of the sampling distribution.

The population standard deviation divided by the square root of the sample size is the sampling distribution's standard error. For this situation, the standard mistake is 8 partitioned by the square foundation of 32, which is around 1.41.

Therefore, the statement that accurately describes the form of the sampling distribution is:

The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

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blood types refer to exercise 75. how surprising would it be to get more than 4 adults with type o blood in the sample? calculate an appropriate probability to support your answer

Answers

The probability is greater than 5%, it is not unlikely to obtain more than adults with blood type p(>4) =0.1402=14.02% and hence the result is not surprising.

In statistics, probability is the ratio of a number of possibilities in an entire sample of equal progression that produce a specific occurrence to the entire number of alternative possibilities.

Given  that n=7 p=0.44, we can use the binomial probability

\(P (X=k)= \left \ {n} \atop {k}} \right. * p^k* (1-p)^n^-^k\left\)

P(X=5)=\(\left \ {7} \atop {5}} \right. *(0.44)^5*(0.66)^7^-^5\) ≈ 0.10861

P(X=6)= \(\left \ {7} \atop {6}} \right. *(0.44)^6*(0.66)^7^-^6\)0.0284

P(X=7)= \(\left \ {7} \atop {7}} \right. *(0.44)^7*(0.66)^7^-^7\) ≈ 0.00321

P(X>4= P(X=5) + P(X=6)+ P(X=7)

= 0.1086+0.0284+0.0032

=0.1402

=14.02%

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What is the theorem of SSS?

Answers

Answer:

read below :)

Step-by-step explanation:

SSS is the side side side theorem.

It states that if the three sides of a triangle are equal in length to the three sides of another triangle, they must be congruent.

Write an expression for which subtracting 5 from an expression would isolate the variable

Answers

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

What are algebraic expressions?

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

Floor divisionDivisionExponentiationAdditionMultiplicationSubtraction, etc

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Use Desmos to graph f(x)=−2x²+4x+6.
Paste the graph by inserting the image here.
What is the name of the graph?
Label the vertex.
Is the vertex a minimum or a maximum value?
Label the x-intercepts.
Label the y-intercepts.

Answers

The name of the graph is a parabola. A parabola is a U-shaped curve that is symmetric about its vertex.

The vertex of the parabola is at the point (-1, -2). This is the point where the parabola changes direction from increasing to decreasing.

The vertex is a minimum value. This means that the value of the function is decreasing as x approaches the vertex.

The x-intercepts are the points where the parabola crosses the x-axis. These points are (-3, 0) and (2, 0).

There are no y-intercepts, because the parabola does not intersect the y-axis.

The vertex of the parabola is the point where the derivative of the function is equal to 0. In this case, the derivative of the function is f'(x) = -4x + 4. Setting f'(x) = 0 and solving for x gives us x = -1. The vertex is then (-1, f(-1)) = (-1, -2).

The x-intercepts of the parabola are the points where the function is equal to 0. In this case, the function is equal to 0 when x = -3 and x = 2.

The y-intercept of the parabola is the point where the function is equal to 0 and x = 0. In this case, the function is equal to 6 when x = 0. Therefore, there are no y-intercepts.

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With equation does not represent a proportional relationship
A y=5x
B y= 1 = 1/2 x
C y= x + 5
D 2y =5x

Answers

Answer:

x (weeks). 0. 1. 2. 3. 4 y (savings in dollars). 25. 30. 35. 40. 45. The relationship is linear but ... 5. 6 slope = unit rate = 2 words/min slope = unit rate = 0.4 ft/s y = 1_. 2 x. Unit 2. 182 ... Write an equation that represents the proportional relationship shown in ... does not charge a fixed rate but charges $1.00 per mile.

Step-by-step explanation

slope: 2 y-intercept_-_Equation: y=2x-1 4.slope: 13 y-intercept_l Equatio ... Mo Parallel to y= -5x+8 __y=-5x+1) (same slope) m= -5. No slope ... (no y value, only x-value) denominator 0 ... The amount y (in cups) of flour is proportional to the number x of eggs in a recipe. ... Write an equation that represents the situation.

Find the diameter of the circle with the given circumference. Use 3.14 for \(\pi\)

c=24 cm

Answers

GiveN:-Circumference of Circle = 24 cmTo FinD:-Diameter of the Circle = ??SolutioN:-

➢ Calculating for diameter :-

➺ Circumference = 2 π r➺ Circumference = 2 × 3.14 × r ➺ 24 = 2 × 3.14 × r➺ 2 × 3.14 × r = 24➺ 6.28 × r = 24➺ Radius = 24/6.28➺ Radius = 2400/628➺ Radius = 3.82 cm

➢ Calculating Diameter :-

➺ Diameter = 2 × Radius➺ Diameter = 2 × 3.82➺ Diameter = 7.64 cm.

__________________________________

Six checkers are placed in three boxes: two red are in a box labeled "RR"; two black are in a box labelled "BB"; a red and a black are in a box labelled "RB". How can you tell, by taking only one checker out of one of the boxes (and without looking at any of the other checkers), the correct content of all three boxes?

Answers

Answe and Step-by-step explanation:

Looking at the question the way it was asked, it is easy because it said they have been labelled, so you don't have to stress yourself. Although, if what is intended is, the labelling got wrong along the way and how do you identify the correct one? Then this is what to do:

Go to the one labelled RB. Since I'm assuming that the labelling got wrong, if you pick a red, it means what we have should be a RR and if we picked a black, it means what we have is a BB and we can't have a RB because it was labelled wrongly.

Let's assume he saw a red,

We know that the BB box was labelled wrongly, and we already determined that the box with RB is a RR. Therefore, the box BB can never be RR(because we've seen it already) and it's certainly not BB (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be BB.

If we assume what was picked from the wrongly labelled RB is black.

We know that the RR box was labelled wrongly, and we already determined that the box with RB is a BB. Therefore, the box RR can never be BB and it's certainly not RR (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be RR.

Order the steps to solve the equation log(x2 − 15) = log(2x) form 1 to 5.

Answers

The order of the steps to solve the provided logarithmic equation is arranged as,

\((x^2 - 15) =(2x)\)

\(x^2 +2x-15=0\)

\((x-5)(x+3)=0\)

\(x-5=0,x+3=0\)

Potential solution are -3 and 5.

What is exponent of log rule?

The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.

When the base is common ion equality equation, then the two log values can be compares using exponent rule of logarithm.

The given logarithmic equation in the problem is,

\(\log(x^2 - 15) = \log(2x)\)

The order of solution of the above expression,

Step 1,

As the base is common, then the two log values can be compares using  exponent rule of logarithm.

\((x^2 - 15) =(2x)\)

Step 2,

Bring all the terms, one side of the expression as,

\(x^2 +2x-15=0\)

Step 3,

Find the factors of the above quadratic equation using the split the middle term method as,

\(x^2 -5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\)

Step 4,

Equate the factors to the zero to find out the values of x,

\(x-5=0,x+3=0\)

Step 5,

The potential solution are,

\(x=5,-3\)

Thus, the order of the steps to solve the provided logarithmic equation is arranged as,

\((x^2 - 15) =(2x)\)

\(x^2 +2x-15=0\)

\((x-5)(x+3)=0\)

\(x-5=0,x+3=0\)

Potential solution are -3 and 5.

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Given the following set of data, which measures have a value of 6? (Check all that apply.)3,4,6,8,9rangemodemedianmean

Answers

\(\begin{gathered} \text{From the given series, we can easily say that } \\ 6\text{ is the median} \\ \text{Because it is in the middle of the series.} \\ \operatorname{mean}=\frac{3+4+6+8+9}{5} \\ \operatorname{mean}=\frac{30}{5} \\ \operatorname{mean}\text{ =6} \\ So,\text{ mean is also 6.} \end{gathered}\)

let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.

Answers

We have (123) different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin.

The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .

According to our question-

Let n be the maximum number of subsets of five elements that can be selected from the first 14 natural numbers,

with at least two of the five numbers being consecutive.

I have made a block of two consecutive numbers (like (1,2),(2,3),(13,14) etc.).

Now we can choose this block in 13 ways. Now we have to choose 3 numbers from the rest 12 numbers.

Hence,  multiplication principle we come to know that there are  13×(123).

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Which of the following statements is true?
0 - 3.04 > - 3.4 because - 3.4 is to the right of - 3.04.
0 -3.04 < - 3.4 because - 3.4 is to the right of - 3.04.
O -3.04 < - 3.4 because - 3.4 is to the left of - 3.04.
• 3.04 > - 3.4 because - 3.4 is to the left of

Answers

The correct statement regarding rational numbers is given as follows:

-3.04 > - 3.4 because - 3.4 is to the right of - 3.04.

Rational numbers

Rational numbers are the whole numbers plus decimals that can be represented by fractions, involving both positive and negative numbers.

To verify which of two negative numbers is greater, we have that:

If the numbers have different integer parts, the number with the lesser integer part is greater, i.e., -1 > -2.If the numbers have the same integer parts, the number with the lowest decimal is greater.

The second bullet point relevant in the context of this problem, as a decimal part of 0.04 is less than a decimal part of 0.4, hence:

-3.04 > -3.4.

Greater numbers are always to the right on the number line, hence the correct statement is given as follows:

-3.04 > - 3.4 because - 3.4 is to the right of - 3.04.

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What is the solution of the equation (4x + 3)² = 18?

What is the solution of the equation (4x + 3) = 18?

Answers

Answer:

third option

Step-by-step explanation:

(4x + 3)² = 18 ( take square root of both sides )

4x + 3 = ± \(\sqrt{18}\) = ± \(\sqrt{9(2)}\) = ± (\(\sqrt{9}\) × \(\sqrt{2}\) ) = ± 3\(\sqrt{2}\) ( subtract 3 from both sides )

4x = - 3 ± 3\(\sqrt{2}\) ( divide both sides by 4 )

x = \(\frac{-3+3\sqrt{2} }{4}\) , x = \(\frac{-3-3\sqrt{2} }{4}\)

please solve and send good quality picture xx

please solve and send good quality picture xx

Answers

Refer to attached photo.
please solve and send good quality picture xx

HURRY 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.

Answers

Answer:

3.

Step-by-step explanation:

Answer: the square root of 54 x IDC x i don't even want to help x haha no help for you x points for me not you

Step-by-step explanation:

The cot for 10 ounce of organic blueberrie i $2. 70 which equation can be ued to determine x the cot, in dollar for 30 ounce of organic blueberrie?

Answers

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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please help due soon​

please help due soon

Answers

c? dnnfndndjndjjrnenrdnrnr. d fnnrndnd. f f. r r t f i just pick c when i dont know it lol

Answer:

C. y = 14x - 37

Step-by-step explanation:

\(y = - 4(4x + 3) + 5(6x - 5) \\ \\ y = - 16x - 12 + 30x - 25 \\ \\ y = 14x - 37\)

What is the area of a circle with a radius of 4 ft?



50. 24ft2



50. 24ft



12. 56 ft



25. 12ft2

Answers

The area of the circle with a radius of 4 ft is approximately 50.24 square feet. This means that if we were to draw a circle with a radius of 4 ft on a flat surface, it would cover an area of approximately 50.24 square feet.

The area of a circle is defined as the amount of space enclosed by its circumference. It can be found using the formula A = πr^2, where A is the area, r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14.

In this case, we are given that the radius of the circle is 4 ft. By substituting this value into the formula, we get:

A = π(4)^2

A = 16π square feet

Now, to find an approximate value for the area, we can use the approximation π ≈ 3.14. Substituting this in, we get:

A ≈ 16 × 3.14

A ≈ 50.24 square feet

Therefore, the area of the circle with a radius of 4 ft is approximately 50.24 square feet. This means that if we were to draw a circle with a radius of 4 ft on a flat surface, it would cover an area of approximately 50.24 square feet.

It's worth noting that the units of the area are always squared, i.e., square feet in this case. This is because the area is a measure of the two-dimensional space enclosed by the circle, and hence has units of length squared.

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If f(x) = 9(x - 7)^2 – 8
Find f( – 4)

Answers

Answer:

1,081

\(f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081\)

20 gallons = ______ quarts​

Answers

20 gallons = 80 liquid quarts

explanation:

1 gallon = 4 quarts

20 gallons x 4 quarts = 80 quarts

hope this helps :)

Write an expression to represent the product of 6 and the square of a number plus 15.

In your expression, what is the value of the coefficient?

Answers

Answer:

2

Step-by-step explanation:

The expression that should be represented is ( 6x²+15 ) and the value of the coefficient is 6.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that

The product of 6.The square of number + 15.Based on the above information,

Let us assume the number should be x so, from the above information, the expression should be

= ( 6x²+15 ).

Therefore expression that should be represented is ( 6x²+15 ) and the value of the coefficient is 6.

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