Which expression is equivalent to log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?

Answers

Answer 1

The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵

How to determine the equivalent expression

From the question, we have the following parameters that can be used in our computation:

log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?

Express properly

So, we have the following representation

log₁₂(x⁴√x³) - 2(x+1)⁵

Evaluate the exponent

log₁₂(√x¹¹) - 2(x+1)⁵

Apply the power rule of logarithm

This gives

11/2log₁₂(x) - 2(x+1)⁵

Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵

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Related Questions

Find x. Simplify completely. 16 4 and x , can someone answer ASAP!!

Answers

Answer:X=8

Step-by-step explanation: I just did a exam that answer is x=8 :))

A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25 hours. Suppose a random sample of 30 participants was taken and the mean finishing time was found to be 1.59 hours with a standard deviation of 0.30 hours.
(a) Identify the parameters in this situation.
(b) Identify the statistics in this situation.
(c) Suppose we were to make a histogram of the finishing times of all participants in the duathlon. Which of the following would the histogram be a display of?
i. Population distribution
iii. Distribution of a sample
ii. Sampling distribution of means
(d) Suppose the process of taking random samples of size 30 is repeated 200 times and a histogram of 200 sample means is created. Which of the following would the histogram be a display of?
i. Population distribution
ii. Distribution of a sample
iii. Sampling distribution of means
(e) What is the standard error for the mean finish time of 30 randomly selected participants?
(f) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours.
(g) What is the probability that another sample of 30 randomly selected participants will have a mean finishing time of 1.59 hours or less?

Answers

Answer:

A.) Parameter = 1.67 ; 0.25

B.) Statistic = 1.59, 0.30

C.) Population distribution

D.) Sampling distribution of means

E.) 0.058

F.) 0.395

G.) 0.072

Step-by-step explanation:

A.) The parameters are measured quantities or characteristics derived from the population. The parameter here describes the mean and standard deviation of all participants ;

Population mean = 1.67

Population standard deviation = 0.25

B.) Statistic are measured quantities which are characteristics of the sample. Here, we have the sample mean and standard deviation

Sample mean = 1.59

Sample standard deviation = 0.30

C.) The population distribution is the plot of the histogram prepared using data from the population (all participants)

D.) The plot of the mean value obtained from the repeated measurement or simulation of the sample data is called sampling distribution of the means.

E.) Mean finish time of 30 randomly participants :

Sample size, n = 30

Standard Error = s/√n

Standard Error = 0.30 /√30 = 0.0548

F.) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours

P(x < 1.59)

Z = (xbar - μ) / σ ; (1.59 - 1.67) / 0.30 = - 0.267

P(Z < - 0.267) = 0.395 (Z probability calculator)

G.) P(x < 1.59)

Z = (xbar - μ) / s ; (1.59 - 1.67) / (0.30/√30) = - 1.46

P(Z < -1.46) = 0.072 (Z probability calculator)


About 25% of the students in Mr. Goodman's class got an Aon their last math test. Of those, 50% are girls. The class has 12 girls and 16 boys. Is it
reasonable to say 6 girls got an Aon the test?
A No, because 6 is not 25% of 28.
O
B. No, because 6 girls is 50% of all the girls in the class, and not all of the girls got A's.
O
C. Yes, because 50% of 12 is 6.
D
Yes, because more girls than boys got A's.

Answers

I think the answer is c

If the radius is 10 ft, what will be the area of the circle!

Answers

Answer:

314

Step-by-step explanation:

Formula for area -> A= PI times radius squared

10x10=100x3.14+314

Answer:

314.16ft

Step-by-step explanation:

Diameter = 2  

×

Radius

Diameter = 2

×

10

Diameter = 20 feet

The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet

Answers

If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.

How to find the distance?

Using this formula to find the distance by solving for d

t=√d/q

Where:

t = Time = 5 seconds

d = Distance = ?

q = Quantity = 16

So,

5 seconds=√d/16

d=16x5²

d=16 × 25

d= 400 feet

Therefore we can conclude that the correct option is A.

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Give me answer please will give brainliest

Answers

Lesser x: -1/2
Greater x: 7



The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of a complete roll of toilet paper

Answers

Answer:

5,530.49[tex]inches^{2}[/tex]

Step-by-step explanation:

4.1x4.1=16.81

16.81x329

1. The sum of two angles is 85°, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.

Answers

On solving the provided question, we can say that - by equation angles will be, x + 5x = 85 => 6x = 85 => x = 14.1666666667

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

let one angle be = x

other angle be 5x

then, x + 5x = 85

6x = 85

x = 14.1666666667

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maybe explain what a dependent is in math pls

Answers

the dependent is the variable that depends on the value of another number.
The dependent variable is the one that depends on the value of some other number. If, say, y = x+3, then the value y can have depends on what the value of x is. Another way to put it is the dependent variable is the output value and the independent variable is the input value.

It is possible none of the choices is the solution?

If I’m wrong, then which one is the correct answer?

Answers

Answer:

b is the correct answer!!!

Step-by-step explanation:

If the volume of the pyramid is 72 cm, what is its height in cm?
4 cm
6 cm
3
9
оооо
12
18

Answers

Step-by-step explanation:

[tex]v = 4 \times 6 \times x \\ 72 = 24x \\ x = 3[/tex]

Answer:

9

Step-by-step explanation:

WILL GIVE BRAINLIEST

Find the scale factor​

Answers

Please I’m in 5th grade I tried but it’s too hard but please mark me Brainlyest

Answer:

Your scale factor would be 2

Step-by-step explanation:

I really hope this helps! :)

Please help, thank you

Answers

Answer:

9.42

Step-by-step explanation:

Using the law of Sines we get

[tex]a = 14 \times \frac{ \sin(41) }{ \sin(77) } = 9.426[/tex]

The angle (77) was found by subtracting 41 and 62 from 180.

180 - 41 - 62 = 77

Answer:

Chapppppppp kid l Hfhssh

Help
12. A scale model of a cell tower is shown below.

The model was built using a scale in which 2 inches represents 10 feet. What is the actual height of the cell tower?

Answers

Answer:

180 ft

Step-by-step explanation:

If the height is 36 inches, and two inches represents 10 feet, then there are 18 sets of ten feet on the actual tower, if that makes sense. That means that the actual tower is 180 feet tall.

Question 2: In a dental clinic with one dentist, the average number of patients from

time to time is 2. What is the dentist's expected idle time each day?

Answers

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

Six bottles of water cost £2.10. How much does one bottle of water cost?​

Answers

Answer: 0.35 euros

Explanation

1. Set up the proportion 6/2.10 = 1/x to find the cost of one bottle.

2. Cross multiply. 2.10(1) = 6x —> 2.10 = 6x

3. Divide by 6 on both sides to get the variable by itself. 2.10/6 = 6x/6 —> 0.35 = x
35p as £2.10/6 is 0.35

A student made two patterns to show multiplication of a decimal by powers of ten. the equations shown for both patterns are incorrect. pattern A
3.675. 10 =3.7650
3.675. 100= 3.67500
3.675.1,000= 3.675000
pattern B
3.675. 10=3.0675
3.675.0.01= 3.00675
3.675. 0.001= 3.000675
explain why the equations in each of the patterns are false. Include in your explanation the values that should appear on the right side of each equation in both patterns to make the equations true.

Answers

If a student made two patterns to show multiplication of a decimal by powers of ten. All the value are incorrect. The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

How to find the correct value?

Pattern A

3.675×10 =3.7650 Incorrect

3.675×10 = 36.75 Correct

3.675× 100= 3.67500  Incorrect

3.675×100= 367.5 Correct

3.675×1,000= 3.675000 Incorrect

3.675×1,000 = 3,675 Correct

Pattern B

3.675×10=3.0675 Incorrect

3.675× 10= 36.75 Correct

3.675×0.01= 3.00675 Incorrect

3.675×0.01= 0.03675 Correct

3.675×0.001= 3.000675 Incorrect

3.675×0.001= 0.003675 Correct

The correct value are: 36.75, 367.5, 3,675, 36.75, 0.03675, 0.003675.

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Find the slope of the line through each pair of points.
(4, 18), (4, -11)

Answers

Answer:

undefined

Step-by-step explanation:

slope formula:

m =y2-y1 / x2-x1

m= -11-18 / 4-4= -29/0

you cannot divide by zero so the slope is undefined

Rose decided to buy a photocopy machine that is projected to yield cash savings of RM2,000 per year over a 20 years period. Using a 15% discount rate, calculate the present value of the savings.
(Assume that the cash savings occur at the end of the year)

Answers

Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

What does (AM) represent to segment [BC]? Justify. ​

Answers

AM is a perpendicular bisector of BC.

What is a bisector example?

A ray that divides an angle into two equal parts is known as an angle bisector or the bisector of an angle. For instance, each measurement will be equal to 30 degrees if ray AX divides an angle of 60 degrees into two equal parts. There is an angle bisector for each angle.

A line's bisector is defined.

To divide a segment or an angle into two congruent parts is to bisect it. The midpoint of a line segment will be traversed by its bisector. A line segment's perpendicular bisector is parallel to the line segment and passes through its midpoint.

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you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

Answers

Answer:

A, D

Step-by-step explanation:

1.67+1.4>3, 4.6-1.47>3.

Answer:

A and D

Step-by-step explanation:

At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year

Answers

By working a full year, you may expect to earn a total of $19,646.25 in earrings.

Explain about the expression?

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

= Total overtime pay of $2,193.75 (first 6 months)

Add the regular and overtime pay after that:

= $7,312.50 + $2,193.75

= $9,506,25 in total income (first 6 months)

$7,800.00totalregularpay(last6months)

Overtime pay:(26weeks in a half year) \=$8\times

7.57.5\times1.51.5\times

$ 26

= Total overtime pay of $2,340.00 (last 6 months)

Add the regular and overtime pay after that:

= $7,800.00 + $2,340.00

= $10,140.00 in total income (last 6 months)

In the end, add the combined earnings from the two half years:

= $9,506.25 + $10,140.00

= Total annual profits of $19,646.25 (expected)

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I need help because I don't understand and I need an explanation of how to do it, please.

Answers

Answer:

Step-by-step explanation:

a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)

b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).

Can someone tell me the answer?

Answers

Answer:

I believe the train arrived at 5:30 am.

Answer:

5:30 AM

Step-by-step explanation:

Add the two times it took to travel together, and add it to 8:55 PM, you'll end up with 5:30 AM

Jdjdjdjd
Help jajasjjaj

Answers

Answer:

x=57

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

(x-5) + (2x-7) + 21  = 180

Combine like terms

3x +9 = 180

Subtract 9 from each side

3x+9-9= 180-9

3x = 171

Divide by 3

3x/3 =171/3

x =57

Can you please help me faster please help me if you know???!!!

Answers

We want the probability of her coffee being large given she ordered a hot drink.
First we find the sum of the customers with hot drinks:
22+5+48=75
The probability of the drink being large given that it’s a hot drink is:
Large hot drinks/sum of hot drinks= 22/75= 0.293333...≈ 29%.

Answer:

29%

Step-by-step explanation:

5+48+22=75

22/75=0.2933

nearest % is 29%

Question 6 of 40
Multiply (x2 + 2x + 3)(4x2 – 2x + 1).
O A. 5x2 + 4
O B. 4x + 10x + 17x2 + 8x + 3
O C. 44 + 6x3 + 9x2 - 4x + 3
O D. 44 - 4x2 + 3

Answers

The answer is C. Multiply the second parentheses by each term from the first parentheses, Distribute through the parentheses and collect like terms.

what is the answer to 10x−10=55

Answers

Answer:

6.5

Step-by-step explanation:

10x = 65

x = 65/10

x = 6.5

Answer:

x=6.5

Step-by-step explanation:

So our equation is:

10x-10=55

The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:

10x=65

Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:

x=65/10

=

x=6.5

So your answer is 6.5

Hope this helps!

evaluate (4√81)³.............​

Answers

Your answer would be 27

By the way please mark brainliest

can you pls help me with this?☺️
thank you ☺️

Answers

12. MORT

13. MNR

14. SDT

15. MOSR

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