1/9^x=3^-x/3×81^x
find the value of x​

Answers

Answer 1

Answer:

x = -(2 i π n)/(5 log(3)) + 1/5 for n element Z or 1/5

Step-by-step explanation:

Solve for x:

9^(-x) = 3^(3 x - 1)

Hint: | Take logarithms of both sides to turn products into sums and powers into products.

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):

-2 log(3) x = log(3) (3 x - 1) + 2 i π n for n element Z

Hint: | Write the linear polynomial on the right-hand side in standard form.

Expand out terms of the right hand side:

-2 log(3) x = -log(3) + 3 log(3) x + 2 i π n for n element Z

Hint: | Isolate x log(3) to the left-hand side.

Subtract 3 x log(3) from both sides:

-5 log(3) x = 2 i π n - log(3) for n element Z

Hint: | Solve for x.

Divide both sides by -5 log(3):

Answer: x = -(2 i π n)/(5 log(3)) + 1/5 for n element Z

_____________________________

Solve for x over the real numbers:

9^(-x) = 3^(3 x - 1)

Hint: | Take logarithms of both sides to turn products into sums and powers into products.

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):

-2 log(3) x = log(3) (3 x - 1)

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by log(3):

-2 x = 3 x - 1

Hint: | Isolate x to the left-hand side.

Subtract 3 x from both sides:

-5 x = -1

Hint: | Solve for x.

Divide both sides by -5:

Answer: x = 1/5


Related Questions

x2 - 81 = 0

What is x2

x2 - 81 = 0What is x2

Answers

Answer:

x = 9 and -9

Step-by-step explanation:

\(x^{2}\) -81 = x  add 81 to both sides of the equation

\(x^{2}\) = 81  What number times itself equals 81?  9 and -9

Answer: + 9

Step-by-step explanation: add 81 to both sides to isolate x^2. we get x^2= 81. take the square root of both sides. the square root of x^2 is x and square root of 81 is 9 or -9. so x = 9 and -9.

Emma has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 7.5 points for each visit to the movie theater.
She needs at least 135 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Emma can make to earn her first free movie ticket.


Inequality:
v:

Answers

The inequality is 30 + 7.5v ≤ 135

The number of visits Emma could make to earn her first free movie ticket is 14

Writing an Inequality

From the question, we are to write and solve an inequality which can be used to determine the number of visits Emma can make to earn her first fee movie ticket

From the given information,

"She receives 30 rewards points just for signing up"

and

"She earns 7.5 points for each visit to the movie theater"

If she visits the movie theater v number of times,

Then,

She would earn

30 + 7.5v points

Also,

She needs at least 135 points for a free movie ticket.

Thus,

The inequality that could be used to determine the number of visits, v, to earn a free movies ticket is

30 + 7.5v ≤ 135

Solving the inequality

30 + 7.5v ≤ 135

Subtract 30 from both sides

30 - 30 + 7.5v ≤ 135 - 30

7.5v ≤ 105

v ≤ 105/7.5

v ≤ 14

Hence, the number of visits Emma could make to earn her first free movie ticket is 14

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Write -0.34 as a fraction in simplest form?

Answers

Answer:

-34/100 is the fraction in simplest form

-17/50 would be the correct simplified answer.

What is the difference in the range of temperatures recorded last year and the range of temperatures recorded this year

C
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
Last Year
9
10
11
14
19
22
27
29
21
18
11
6
2 Years Ago
7
11
10
13
17
23
25
25
20
18
12
9

Answers

Answer: explain how crime contributes to social injustices

Step-by-step explanation:

A cyclist rides his bike at a speed of 15 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answers

Answer:

Step-by-step explanation:

Speed = (15 mi)/hr × (1.6 km)/mi = (24 km)/hr

:::::

(4 hr) × (24 km)/hr = 96 km

Evaluate the combination
C(y,y)

Answers

The combination C(y,y) is equal to 1.

The formula for the number of combinations of n items taken r at a time is:

C(n,r) = n! / (r!(n-r)!)

In this case, we have:

C(y,y) = y! / (y!(y-y)!)

Since y - y = 0, we can simplify the expression to:

C(y,y) = y! / (y! * 0!)

And since 0! = 1, we can further simplify to:

C(y,y) = y! / y!

The y! term in the numerator and denominator cancel out, leaving us with:

C(y,y) = 1

Therefore, the combination C(y,y) is equal to 1.

please help me asap!!!

please help me asap!!!

Answers

you need help

nice for you                                                                                                                                   / fyi this is payback

Answer:

30 square units

Step-by-step explanation:

10 (height) x 6 (base) / 2 =

60 / 2 =

30 square units

Hope that helps!

Yoga Common Core Performance Assessment_ Regina takes yoga classes 2 days a week at the community center. The cost for the classes is $72, and Regina pays an additional one-time fee of $12 to rent the yoga equipment used in class. The classes run for 6 weeks. The local gym offers the same yoga program, including equipment, for $8 a class. Is Regina paying more or less than what the local gym charges for yoga classes?​

Answers

On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

cost for the 12 classes = $72

cost of 1 unit = $6

cost of 9 units = $54

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g(x) = x^4-32x^2+256; x=-4

Answers

Answer:

g(-4) = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = x⁴ - 32x² + 256

x = -4

Step 2: Evaluate

Substitute:                    g(-4) = (-4)⁴ - 32(-4)² + 256Exponents:                   g(-4) = 256 - 32(16) + 256Multiply:                        g(-4) = 256 - 512 + 256Subtract:                       g(-4) = -256 + 256Add:                              g(-4) = 0

I NEED HELP PLSS. The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders. Which survey method is the best to use?

A
Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.

B
Survey 50 randomly selected seventh-grade students at one of the middle schools.

C
Survey 50 randomly selected seventh-grade students who are participating in school sports this year.

D
Survey 50 randomly selected eighth-grade students who participated in school sports last year.

Answers

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools. Then the correct option is A.

What is a sample?

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders.

The survey method is the best to use will be

Random sampling is the method of selecting the subset from the set to make a statical inference.

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.

Thus, the correct option is A.

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which grows at the fastest rate for increasing values of x

\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)

Answers

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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The cost of dress in a shop is 320.00 for more than more than the cast: If a customer of a pair of pays 305.00 for the turo items. How much does each cost.​

Answers

The price of each of these be

A dress market at Rs.120 is 96A pair of shoes market at Rs.750 is 600A bag market at Rs.250 is 200.What is discount?The discount is determined by dividing the purchase price by the item's par value. Discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate. (Discount List Price) 100 is the formula used to determine the rate of discount. The discount is the amount that is subtracted from the selling price in the formula. [(List price - Selling price)/List price] 100 is an additional formula for computing discount percentages.The simplest definition of a price is the sum of money exchanged by a buyer and seller for a good or service.

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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NEED HELP ASAP WILL GIVE BRAINLIEST
Review the diagram.

On a coordinate plane, a ramp is 25 degrees from the x-axis in quadrant 1. An object has a vector labeled 300 pounds.

An object is pulled up a ramp with a 25° incline. The force required to move the object is 300 pounds. What is the component form of the force vector?

(78, 290)
(290, 78)
(127, 272)
(272, 127)

Answers

Answer:

D. (272, 127)

Step-by-step explanation:

It's actually not A, I just took the test. The right answer is D.

Answer: D) (272, 127)

Step-by-step explanation: :D

What values of b satisfy 3(2b + 3)² = 36?

Answers

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Write the equation of the horizontal line that goes through the
point (9,6).

Answers

Answer: y=6

Explanation: If you put the equation y=6 into graph form (as seen in the picture below) you will have a horizontal line that goes through the point (9,6)

(P.S the black dot represents the point (9,6))
Write the equation of the horizontal line that goes through thepoint (9,6).

Find the degree measure of the indicated angle.
?
40°
80°

Find the degree measure of the indicated angle.?4080

Answers

Answer:

60

because you need to add the number to get 180 so I would be 80+20 = 120+60=180 I hope it helps!

f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?

Answers

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5

Answers

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

Estimate

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

Approximate -10 + 30 to the nearest tenth.O-5.5O-4.504.5O5.5

Naomi's electricity costs depend on the number of kilowatt hours she uses, as shown in the graph below. According to this graph, which expression can be used to calculate her electricity cost after using x kilowatt hours?

A. 0.06x + 40
B. 0.08x + 20
C. 0.1x + 10
D. 0.12x

Naomi's electricity costs depend on the number of kilowatt hours she uses, as shown in the graph below.

Answers

Answer:

b. 0.08x + 20

Step-by-step explanation:

its B because the price goes up $40 every 500 KW's so

40 divided by 500 = 0.08

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).

We know that, slope of a line is Slope=(y2-y1)/(x2-x1)

= (100-60)/500

= 40/500

= 0.08

Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get

60=0.08(500)+c

60=40+c

c=20

Substitute m=0.08 and c=20 in y=mx+c, we get

y=0.08x+20

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

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How do you skip videos on edunuity?

Answers

Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.

Step-by-step explanation:

You may have to press next activity again and it might not work the first time but I promise it works.

Answer:

you skip when it comes to the very end

Step-by-step explanation:

Please Give Brainleast

A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)

Answers

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

What percentage of 225 is 20

Answers

The Solution:

We are asked to determine the percentage of 20 out of 225.

That is,

\(\frac{20}{225}\times100=\frac{20\times4}{9}=\frac{80}{9}=8.8889\approx8.889\text{\%}\)

Therefore, the correct answer is approximately 8.889%

Further explanation:

20 out of 225 gives the fraction: 20/225

To write this as a percentage, you have to multiply by 100.

\(\frac{20}{225}\times100=8.8889\text{ \%}\)

Does anyone know the correct answer

Does anyone know the correct answer

Answers

Answer:

B: 26

Step-by-step explanation:

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.

If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.

Answers

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

14) a recipe for a cake calls for 9 cups of sugar. john has already put in 3 cups. how many more cups does he need to put in?

Answers

Answer: 6

Step-by-step explanation: Uhh, math...

Answer:6 cups, because 9-3 equals 6 and he already put in 3 cups but he has to put 9 al in total so u do subtraction!

Hope this helpedddd!!!!

Write a system of linear equations given each table. Then name the solution.

Write a system of linear equations given each table. Then name the solution.

Answers

Answer:

Choose

a

,

b

and

c

the make the equation true.

Step-by-step explanation:

A linear equation can be written in several forms. "Standard Form" is

a

x

+

b

y

=

c

where

a

,

b

and

c

are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii)

(

4

,

3

)

is a solution to both.

a

x

+

b

y

=

c

. We want

a

,

b

and

c

so that

a

(

4

)

+

b

(

3

)

=

c

hi guys, i have a percentage question that I am not sure.


Here is the question: A phone costing £500 is in a sale. The sale price is £400 what percentage off is this?

Answers

Answer:

20 percent

Step-by-step explanation:

\(\frac{400}{500}\)\(=0.8\)

\(1-0.8=0.2\)

This means that 20 percent off of 500 is 400.

Answer:

The answer should be 20%

Step-by-step explanation:

Hope this helps

Is it an integer?

19/20 - yes or no
32/4 - yes or no
74 - yes or no
23 - yes or no
5.95 - yes or no

Answers

Answer:

19/20--no

32/4--yes (32/4 = 8)

74--yes

23--yes

5.95--no

The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1
miles.

Answers

Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

A_________is a set that is contained in a larger set.

Answers

A subset is a set that is contained in a larger set.
Other Questions
Compare and contrasts the five major transportation modes in terms of costs, speed and dependability? If a $10,000 investment earns a 3.7% annual return, what should its value be after one year?A. $3,700B. $3,800C. $10,000D. $10,370 New firms have incentive to enter an industry when there is(are): Select one: A. positive economic profits. B. an abundance of labor. C. high capital costs. D. new production technologies. excels goal seek may be used to perform blank______ analysis. multiple choice question. break-even operating leverage margin of safety cvp One of the advantages of nylon over rayon is that nylon: 1.How is power shared differently between a unitary, confederate, and federal system of government?UnitaryConfederateFederal The pharmacist who substitutes interchangeable biosimilar products shall retain a written or electronic record of the substitution for at least? Which of the following questions will allow you to determine if a population of organisms are MOST LIKELY a result ofnatural or artificial selection?O A. Do the organisms have traits that are valuable to humans but are poorly suited to the wild?OB. Were the organisms produced by sexual or asexual reproduction?OC. How many different traits are there in the population of organisms?O D. How similar are the organisms to their parents? when infants are cared for in high-quality day care centers, the amount of time they spend in such care group of answer choices is unrelated to their social behavior. predicts increased negative and antisocial behaviors. produces greater instances of empathetic and prosocial behaviors. directly contributes to the closeness of their sibling attachments. The radius of a basketball hoop is 9 inches. Which expression can be used to find thehoop's circumference in inches? What is the reciprocal of5/6 Which type of computer processing is used to determine the number of views on a video? Comparing Counting Finding a match If-then What amendment is the right to know the charges on which one is being held? What is 20x - 4x + x? President polk was willing to go to war with mexico to group of answer choices acquire new territory in the northwest. further the concept of manifest destiny. protect american settlers from a mexican invasion. ensure the independence of the republic of texas. how many different ways are there to validate the data that gets into a workbook? 2. Write a program that initializes an array of characters with the phrase, "Take me to Clearwater Beach!". Using pointers, scan the array to make each character upper case. The catch: you may NOT use the isupper(), islower(), toupper(), or tolower() functions. You must calculate whether a character is upper or lower case, and use the same logic to convert to upper case where applicable HELP ME PLZZZ IMA FAIL JUST TAKE TIME AND HELP (I'LL GIVE BRAINLIEST) when is an electric charges neutral ?? compare and contrast gregorian chant and opera