Find the value of log 1 2 462 to four decimal places. –8.8517 –0.1130 0.1130 8.8517

Answers

Answer 1

The logarithm value of log 1/2 462 to four decimal places is  –8.8517.

What is a logarithm?

The logarithm is the mathematical inverse function to exponentiation.

The logarithm of a number x is the exponent to another fixed term.

It is given the log of 462 to a base of 1/2.

[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]

 = –8.8517

Therefore, the logarithm value of log 1/2 462 to four decimal places is  

–8.8517.

Learn more about logarithm :

https://brainly.com/question/3181916


Related Questions

Find the diameter of a circle with area 28.3 yd2

Answers

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

help me !!How many years will it take for the Honda to be worth more than the Range Rover? Justify your
response mathematically.

Answers

Answer:

  6.03 years

Step-by-step explanation:

The value of the Range Rover decreases 25% per year, so its value "growth" factor is 1-25% = 0.75. The initial value is 60,000, so its exponential value function can be written ...

  r(x) = 60000(0.75^x)

The Honda has a "growth" factor of 18000/20000 = 0.90 and an initial value of 20,000, so its exponential value function can be written ...

  h(x) = 20000(0.90^x)

__

We want to find x such that h(x) > r(x).

  20000(0.90^x) > 60000(0.75^x)

  0.90^x > 3(0.75^x) . . . . . . . divide by 20000

  (0.90/0.75)^x > 3 . . . . . . . . divide by 0.75^x

  x > log(3)/log(1.2) . . . . . . . . take logs, divide by log(1.2)

  x > 6.025685

It will take about 6.03 years for the Honda to be worth more.

CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.

Answers

The other dimension is the width of the rectangle

The other dimension is 51 centimeters

How to determine the length of the other dimension?

The given parameters are:

Area = 306 square centimeters

Length = 6 centimeters

The area of the rectangle is calculated as:

Area = Length * Width

This gives

306 = 6 * Width

Divide both sides by 6

51 = Width

Hence, the other dimension is 51 centimeters

Read more about areas at:

https://brainly.com/question/24487155

You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84

Answers

After 23 years $125.32 will be matured to $46,683.28.

What is the formula for recurring investment?

The formula for Recurring maturity is given by:

[tex]A=Pn +\frac{ P*n*(n+1)}{24} *\frac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

To get more about recurring deposits visit:

https://brainly.com/question/25528036

what is the slope of the line created by the points (9, 8) & (4, -3)?

Answers

Answer:

11/5

Step-by-step explanation:

y2-y1/x2-x1

= -3-8/4-9

= -11/-5

= 11/5

Which point on the number line is at 58/100

Answers

Answer:

R

Step-by-step explanation:

If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.

Hope this helped <3 Brainliest please :)

If RV=w and SU=w–30, what is the value of w?

Answers

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV , then

SU = [tex]\frac{1}{2}[/tex] RV , so

w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

Solve and Answer correctly the question​

Answers

Distance=250mSpeed=2m/s

Time:-

Distance/Speed250/2125s2min 5s

Time started=6AM

time to reach:-

6+0:02:056:02:05 AM

Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 4 inches by 6 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?

Answers

Answer:

96 inches

Step-by-step explanation:

The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.

What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?

Answers

Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

I AM GIVING AWAY 30 POINTS TO WHOEVER ANSWERS ME

Answers

Answer:

Answer B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The venn diagram of the option B is correctIt is a fact that all whole numbers are real numbersBut, all real numbers, such as 3/4, are not always whole numbers

Find the length of the third side. If necessary, round to the nearest tenth. 12 18

Answers

Answer (assuming that the shape is a right triangle):

If looking for the hypotenuse: 21.63

If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42

Step-by-step explanation:

Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.

[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]

Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.

Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).

So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.

[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]

These are our possible answers.

Round 68.09 to 2 Sf please

Answers

68
I hope you understand this

The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. The data set has the following statistics:

x = 4.312
Variance squared2 = 0.577
What is the standard deviation? Round to the nearest thousandth.

0.333
0.760
2.077
18.593

Answers

0.760 is the correct answer

Answer:

the answer is B 0.760

Step-by-step explanation:

i did the test.

Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear
from the jar? Explain.

Answers

Answer:

144

Step-by-step explanation:

Since there are 48 fluid-ounce in a cup, we can do 6 x 48

6 x 48 = 288

Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).

288/2 = 144

Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?

Answers

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

How to explain the square?

From the diagram, each side is called the side length. Therefore,

Side length of square 4 = a + bSide length of square 5 = a + b

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

Learn more about square on:

https://brainly.com/question/25092270

Im really stuck please help guys?

Answers

Answer:

75°

Step-by-step explanation:

180°-105°=75°

Hope this helps!

If not I am sorry.

Which two numbers doesStartRoot 128 EndRoot lie between on a number line? 11. 0 and 11. 1 11. 2 and 11. 3 11. 3 and 11. 4 11. 4 and 11. 5.

Answers

A number line is a representation of a graded straight line. The number √128  will lie between 11.3 and 11.4.

What is a number line?

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.

In order to know the location of the √128, we need to write the number  √128 in decimal form, therefore, the value of √128 can be written as,

[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]

Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.

Hence, the number √128  will lie between 11.3 and 11.4.

Learn more about Number Line:

https://brainly.com/question/557284

What is the value of x? (angle bisector problem)

Answers

Answer:

47

Step-by-step explanation:

According to angle bisector theorem we get the following ratio:

VT/KT = VY/KY

Substitute the lengths and solve for x:

77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47

Use angle bisector theorem

77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47

Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.

Answers

Answer:

64 units squared

Step-by-step explanation:

If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.

If B (x,y)=(x-3,y+5), what is B(4,7)?

Can anyone help me please

Answers

Answer:

(B (4, 7 ) = (1, 12 )

Step-by-step explanation:

given

B (x, y ) = (x - 3, y + 5 ) , then

B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )

How much, in total, did Noel spend to cash her three most recent paychecks?

Answers

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

What is a paycheck?

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

How to calculate the amount spent.

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

Read more on paycheck here: https://brainly.com/question/26174938

The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.

Answers

The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

What is a scale factor?

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

To get more about dilation visit:

https://brainly.com/question/10253650

Find the average rate of change, in people per year, for the population between the years 1900 and 1920.​

Answers

Step-by-step explanation:

the average change rate of a function f(x) in an interval [x1 .. x2] is

(f(x2) - f(x1)) / (x2 - x1)

in our case that is

(7000 - 2500) / (20 - 0) = 4500 / 20 = 225

the population changed in average by 225 people per year from 1900 to 1920.

write down the next two terms of the number pattern 2,5,8,11,14

Answers

Answer:

17 and 20

Step-by-step explanation:

Write down the next two terms of the number pattern 2, 5, 8, 11, 14

Looking at the numbers, we can tell that they are increasing by 3:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Hope this helps!

17 and 20 because they are adding 3 every time so 14+3=17 and 17+3=20

Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!

Answers

Answer:

4

Step-by-step explanation:

4th one is the answer because 5 is an outlier in the set of data

Answer:

Option 4

Step-by-step explanation:

An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 range

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2

Answers

Answer:

[tex]10.67\pi[/tex] OR [tex]33.49[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]

Radius = 2

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *\pi*2^3[/tex]

[tex]\frac{4}{3} *\pi*8[/tex]

[tex]10.67\pi[/tex]

OR

[tex]\frac{4}{3} *\pi*r^3[/tex]

[tex]\frac{4}{3} *3.14*2^3[/tex]

[tex]\frac{4}{3} *3.14*8[/tex]

[tex]\frac{4}{3} *25.12[/tex]

[tex]33.49[/tex]

Hope this helps!

A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have an 83% confidence level, hence[tex]\alpha = 0.93[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.83}{2} = 0.915[/tex], so the critical value is z = 1.37.

The other parameters are [tex]n = 50, \pi = 0.67[/tex].

Then, the bounds of the interval are given as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611[/tex]

The 83% confidence interval is (0.5789, 0.7611).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

CI = (57.89%, 76.14%)

Step-by-step explanation:

First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.

Which choice shows the graph of the solution set for the inequality p - 2 > 6?

(A

"10

"5

0

5

10

B)

10

5

0

5

10

"10

5

HHHO+++

5 10

0

*10

-5

HHHO++++

0 5 10

Answers

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls

Answers

Answer:

The answer is 16.4 inches

Step-by-step explanation:

The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4

Other Questions
Korina's window store made a mosaic for the community center. The mosaic had a 7 7 array of different color square tiles. If each tile is 1 3/4.what is the area in a mixed number What is the smallest number by which 256 may be divided so that the quotient is perfect cube? During the prewriting stage, the writer's focus is broad and becomesQuestion content area bottomPart 1A.more specific.B.more organized.C.even broader.D.extremely vague. People on a strict diet to lose weight begin to metabolize stored fats at an accelerated rate. How does this condition affect blood pH which line represents the flow of final goods and services?which line represents the flow of consumer spending?which line represents the flow of land, labor, capital, entrepreneurs?which line represents the flow of rent, wages, interest, and profits? [tex] \rm \sum_{n = 1}^{ \infty } \frac{( - {1)}^{n + 1} }{n \binom{2n}{n} } \\ [/tex] How effective are the activist organizations UFWOC, La Raza Unida and AIM in improving equality for their ethnic groups? Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them? -Your brotherPlay the trumpet?No he PLEASE HELP AND ANSWER CORRECTLYI know the axis of symmetry but I don't know how to put it in an equationplease review the graph and answer you may use the other answers to help Help picture below problem 6 this is what I need help with, because I dont understand how to do it Research and discuss this idea of money, status, and marriage during any periods you read about in lesson 3. Explain ideas from any of those periods, using both outside sources and ideas from the texts from lesson 3 such as Pride & Prejudice, After the Ball, and The Glass Menagerie. What were some of the social classes of this time? What problems were caused because of classism? Do we experience classism still today? How is that reflected in our society compared to how it was during any of those periods? Consider the types of jobs available to people, depending on social classes during that time. How do jobs nowadays reflect one's social status? PLS DO THIS RIGHT I NEED ASAP WILL GIVE BRAINLIEST PLSSSSSSChoose one country in North America (not including the United States) to research. View the map in the lesson to help you choose.Country Name:Research your selected country. Find geography information and data on its standard of living. A helpful resource is the CIA Factbook. Organize your research in the charts below.Standard of Living DataWhat is the number or rate for each of the following?Total population GDP per capita Literacy rate Average life expectancy Poverty rate Geography InfluenceHow has each of the following influenced your selected country?Land features Water features Climate Location Natural resources Compare the standard of living for the country you chose with that of the United States. Write this comparison in at least three to five sentences.Examine the information you have researched. Decide whether you recommend this country for your familys new home. Write down the reasons you do or do not recommend it. please answer this!!!!! Nancy hears a report that the average price of gasoline is $2.82. she averages the prices of stations near her home. she finds the average price of gas to be $3.03. why are the averages different? Im not sure the steps to figure out the problem. X = 2 to x =4 The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk? Please Help! I started to write a book would anyone like to read it? and what are some things I should know about writing a book? I'll message you the link to the book :). it would mean the world if someone reads it. can somebody teach me spanish? im fr wiling to learn the language how can you demonstrate that plants prepare their own food in their leaves right with an experiment