If 10^x = 5, what is x?

Answers

Answer 1

Answer:

x=0.69897009

Step-by-step explanation:

expand by logarithms

10^x=5

=log(10^x)=log(5)

=x log(10)=log (5)

log base 10 of 10 is 1

x.l =log(5)

multiple bothside by 1

x=log(5)

x=0.6989709


Related Questions

No math apps, my teacher said they don’t work ‍‍♀️

x^3 – 27 = 0

Answers

Answer:

hope this helps you

Answer =3

What is the domain of the function with the graph given below?

Answers

Answer:

(-∞, 1] or {x|x<=1}

Step-by-step explanation:

Need with this … substitution method..

Answers

Answer:

The solution is the point (-3,2)

Step-by-step explanation:

x + 2y = 1  Subtract 2y from both sides

x + 2y - 2y = 1 - 2y

x = 1 - 2y  Substitute 1 - 2y in for x in the second equation and solve for y.

5x -4y = -23

5(1 - 2y)  -4y = -23  Distribute the 5

5(1) - 5(2y) - 4y = -23

5 -10y - 4y = -23  Combine like terms

5 -14y = -23  Subtract 5 from both sides

5 -5  - 14y = -23 -5

-14y = -28  Divide both sides by -14

[tex]\frac{-14y}{-14}[/tex] =  [tex]\frac{-28}{-14}[/tex]

y = 2

Solve for y

x + 2y = 1  Substitute in 2 for y and solve for x

x + 2(2) = 1

x + 4 = 1   Subtract 4 from both sides

x + 4 - 4 = 1 - 4

x = -3

The solution is the point (-3,2)

Check:

2 + 2y = 1

-3 + 2(2) = 1

-3 + 4 = 1

1 - 1  checks

5x - 4y = -23

5(-3) - 4(2) -23

-15 - 8 = -23

-23 = -23

Quintin raked his customer’s lawn for 1.2 hours. If Quintin charges $20 per hour, how much money did he make?

Answers

23.9 dollars I believe (I needa waste characters thi)

Josh wants to figure out how far he can run in 30 minutes or less. He averages 8 minutes to run a mile. What inequality can he use to solve this problem?

Answers

Time to run 1 mile * number of miles run must be 30 minutes or less
Time to run a mile is 8
Used m = number of miles ran
8m <= 30

<= is less than or equal to

A quantity with an initial value of 860 grows continuously at a rate of 20% per year. What is the value of the quantity after 24 months, to the nearest hundredth? Various forms and units

Answers

Answer:

In this equation, the 100 represented the initial quantity, and the 0.50 was the percent ... If a bank offers a 24 month CD with an annual interest rate of 1.2% ... up an exponential function, with our initial amount of $1000 and a growth rate of r ... An initial substance weighing 20g is growing at a continuous rate of 12% per day.

Step-by-step explanation:

An observational study of 2,391 people aged 65 or over was conducted. The researchers found that those who attended weekly religious services in person were 40% less likely to have high blood pressure than those who stayed home and watched the same weekly religious services via internet streaming. Which of the following is a valid conclusion?

a. There could be lurking variables such as pre-existing health conditions.
b. Watching religious services via web streaming is boring and unhelpful.
c. Attending weekly religious services in person causes lower blood pressure.
d. We cannot make any conclusions because the study only included people aged 65 or over.

Answers

Answer:

c. Attending weekly religious services in person causes lower blood pressure.

Step-by-step explanation:

From the study carried out about those who are 65 years and above but attending religious services in person rather than watching it online, it was able to show that, blood pressure is reduced.

This is because, they would walk before entering the religious service building as well as engage a little strenous exercise like dancing, singing etc which helps to put their body system in working state. On the other hand, those who watch it online became increasingly exposed to blood pressure due to their sedentary lifestyles of not moving around.

The lowest recorded temperature in Wisconsin is -55°F on February 4, 1996. Use the expression 5(F-32)/9 to find this temperature in degrees Celsius. Round to the nearest tenth. Explain its meaning​

Answers

Answer:

-48.3° Celsuis

Step-by-step explanation:

Mark as brainllest

5) Is y = x^3 a function. Why or why not; please use complete sentences.

Answers

Yes, the expression; y = x³ is a function because it passes the vertical line test.

What is function?

Function from a set x to a set y assigns to each element of x exactly one element of y. The set x is called the domain of the function and the set y is called the codomain of the function.

There are 4 types of functions:

Functions with arguments and return values Functions with arguments and without return valuesFunctions without arguments and with return valuesFunctions without arguments and without return values

On this note, the set containing all possible values of x is called the domain of the function and the set y is called the co-domain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

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-20 POINTS- Find the value of X

X=[?]

Answers

Answer:

x=1252x^2

I'm not sure if I'm 100% correct

Sorry.

Answer is the unknown side is 10

Step by step

We use Pythagorean theorem to solve this

a^2 + b^2 = c^2

The two short sides are a and b
The hypotenuse or diagonal is c

we are looking for side b (or x)

a^2 + b^2 = c^2

24^2 + b^2 = 26^2

576 + b^2 = 676

subtract 576 from both sides to isolate b

576 - 576 + b^2 = 676 - 576

b^2 = 100

√ b^2 = √100

b = 10





The weights of a sample of nine football players are 78, 72, 68, 73, 75, 69, 74, 73, 72. Find the variance and the standard deviation.

Answers

Answer:

The variance is of 8

Step-by-step explanation:

To find the variance and the standard deviation, first we need to find the mean.

Mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{78+72+68+73+75+69+74+73+72}{9} = 72.67[/tex]

The standard deviation is of 2.83

Variances:

Sum of the difference squared between each value and the mean, divided by the number of values. So

[tex]V = \frac{(78-72.67)^2+(72-72.67)^2+(68-72.67)^2+(73-72.67)^2+(75-72.67)^2+(69-72.67)^2+(74-72.67)^2+(73-72.67)^2+(72-72.67)^2}{9} = 8[/tex]

The variance is of 8

Standard deviation:

Square root of the variance. So

[tex]S = \sqrt{V} = \sqrt{8} = 2.83[/tex]

The standard deviation is of 2.83

Hello, I am stuck on this question which is a exchange rate question

if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?

Answers

Answer:

0.05 US$=1 sar

then,1 US$=1/0.05 sar.

For what value of x does 3^2x = 9^3x-4?
O 1
O 2
O 3
O 4

Answers

the answer x=2 hope it helps :D

The value of x is 2 so x=2

Express the following measure in radians.
675°

Answers

Answer:

[tex]\frac{15\pi }{4}[/tex]

Step-by-step explanation:

Degrees to radians, multiply by pi/180

675pi/180

use a calculator to simplify

You get 15pi/4

The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].

What is the formula to convert degree to radian?

The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].

What is the conversion of 675degree?

We will substitute 675 for angle in degree into the formula to get the value in radian.

[tex]\frac{675*pi}{180}[/tex]

This will be [tex]\frac{15pi}{4}[/tex].

Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].

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write an equation for the exponential function represented in the graph below.

Answers

Answer

150

Step-by-step explanation:

No hay explanation

HELP ME PLEASEEEEEEE

Answers

Okay so under the quadrilateral section the first one is a rectangle, the next one is a square, after that it’s a rhombus, and the last one is a trapezoid. Then on the triangles section the first one is an equilateral, the middle one is isosceles, and the last one is scalene. Hope this helped!

You have 48 in a yellow ribbon and 64 inches of red ribbon you want to cut the ribbon into pieces of equal length with no leftovers what is the greatest length of pieces that you can make?​

Answers

Answer:

16inchs

Step-by-step explanation:

the gcf of 48 and 64 is 16

Answer:

16 because it is the GCF

Step-by-step explanation:

HELP PLEASEEEEEEEEO ITS EASY IF U LIKE RECTANGLESoo

Answers

It’s 7 1/2 because 4x3 gives you the length of the bigger rectangle so, you multiply 2 1/2x3 and get 7 1/2 :)

Answer: 5 feet

Step-by-step explanation: I used a ruler

Which of the following is a sum of cubes?
A. 8x^3 -27y^6
B. 3x^3 +8y^6
C. X^3 +8y^6
D. 125x^6 -9y^3

Answers

Answer:

C. X^3 +8y^6

Step-by-step explanation:

X³ +8y⁶ = (X + 2 y²) (X² - 2 X y² + 4 y⁴)

How many hours of sleep do you get each night? Is this a statistical question

Answers

Answer:

Yes.

Step-by-step explanation:

This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.

Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.

4) You are hired to work for a company at age 25 and the company has a retirement plan
where you can put up to 6% of your salary into the plan each month and they will match
that amount. Your starting monthly salary is $6,100, assume for simplicity sake you
never get a raise, and the retirement plan guarantees a 6.28% interest rate over the life of
the plan.
Scenario 1: You decide to start the retirement plan right away and you can afford
to put the full amount (6% of your salary) into the plan each month.
a) What is 6% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
Scenario 2: You decide to start the retirement plan right away, but you can only
afford to put 3% of your salary into the plan each month.
a) What is 3% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
What is the difference in the amount of money you will have at age 62 between scenarios
1 and 2? ________________
What is the difference in the amounts of money you put into retirement between
scenarios 1 and 2? _______________
How much more money did you get from your employer in scenario 1 than 2? ________

Answers

6% of the salary is $366

The total amount that would in the retirement account in the account each month is $732.

The amount that would be in the retirement account when you retire is $345,418.50.

The amount of money that you put in the account is $162,504.

The amount of money that the employer put in the account is $162,504.

The interest that was gained over the years is $20,410.50.

3% of the salary is $183.

The total amount that would in the retirement account in the account each month is $366.

The amount that would be in the retirement account when you retire is $172,709.25.

The amount of money that you put in the account is $81,252

The amount of money that the employer put in the account is $81,252

The interest that was gained over the years is $10,205.25.

How much would be in the retirement account?

6% of the salary = salary x percentage

6% of the salary = 6% x $6,100

6% of the salary = 0.06 x $6,100 = $366

The amount in your account at the end of the month = amount the company puts + amount you deposit

= $366 + $366 = $732

Amount that would be in your retirement account = (1 + interest rate) x amount in the account

Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year

Amount in the account at retirement = $732 x 12 x (62 -25)

$732 x 12 x 37 = $325,008

Amount in the account at retirement = (1 + 0.0628) x $325,008 = $345,418.50

Amount the employer put in the account =  $325,008 \ 2 = $162,504

Interest earned = $345,418.50 - $325,008 = $20,410.50

3% of the salary = salary x percentage

3% of the salary = 3% x $6,100

3% of the salary = 0.03 x $6,100 = $183

The amount in your account at the end of the month = amount the company puts + amount you deposit

= $183 + $183 = $366

Amount that would be in your retirement account = (1 + interest rate) x amount in the account

Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year

Amount in the account at retirement = $366 x 12 x (62 -25)

$366 x 12 x 37 = $162,504

Amount in the account at retirement = (1 + 0.0628) x $325,008 = $172,709.25

Amount the employer put in the account =  $162,504 \ 2 = $81,252

Interest earned = $172,709.25 - $162,504 = $10,205.25

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if branndon finishes his work at 5:00 he us at the rosewood cafe​

Answers

Answer:

the question is not complete

Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on

Answers

Yes go on, I wanna hear the story

While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile. She decides to remove this value from further analysis.


What might happen to the mean, median, and mode of the data set after the value's removal?

(select all right answers)


The mode will increase.

The median may stay the same.

The mean will increase.

The mode will stay the same.

The median may decrease.

The mean will decrease.

Answers

The required correct options of data set after the value's removal.

1. The mean will increase.                   3. The median may stay the same.      5. The mode will stay the same.

What is the value's removal?

The Index Sponsor computes the Removal Value in the same way that Fund Interests in the linked Fund are valued.

Here,
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile.
As for the properties of statistics, Change in the IQR does affect the median and mode, So options 3 and 5 are correct.
And also mean will increase.

Thus, the correct options are shown above.

Learn more about value's removal here:

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77 x 11 in turtlehead

Answers

If you mean the calculation of 77x11 then the answer is 847

What is the spread of Cassandra’s grades?


The box plot shows Cassandra’s grades in science this year. Use the box plot to answer the following question:

Answers

Answer:i THINK 79, i dont know fully, but i think 79

79 sorry if i am wrong :)

here is a cute dog to make your day :D

probability of an event happening is 0.77. what's the probability that the event doesn't happen ​

Answers

Answer:

0.23

Step-by-step explanation:

To find this answer you want to subtract the probability of the event happening (0.77) from one in order to find the probability of it not happening.

1-0.77=0.23

pls help i don’t understand

Answers

Answer: 495 is the answer

Step-by-step explanation:

11 for the table is 880

11 for the graph is 385

880-385

Find x. Round your answer to the nearest tenth of a degree.
15
x
10

Answers

Answer:

x is approximately 48.2.

Step-by-step explanation:

Use the trig function of cosine, or adjacent over hypotenuse.

cos theta = adjacent / hypotenuse

Substitute variables.

cos x = 10 / 15

Apply inverse cosine to both sides.

x = cos^-1(10/15)

Evaluate.

x ≈ 48.2

Answer:

x ≈ 48.2°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{15}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{10}{15}[/tex] ) ≈ 48.2° ( to the nearest tenth )

The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown?

A) No, the residuals would tend to be one-sided.
B) No, the residuals would be randomly distributed.
C) Yes, the residuals would be randomly distributed.
D) Yes, the residuals would tend to be one-sided.

I will not accept links, and if you use a link, I will report you.

Answers

Answer:

D) Yes, the residuals would tend to be one-sided.

Step-by-step explanation:

hii :) have a gr8 day

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