If log 5 = 0.699 and log 3 = 0.477, find log 45 without using
the log key.

Answers

Answer 1

Answer:

1.653

Step-by-step explanation:

Write log45 as a product of its prime factors

log45= log3^2 * log5

Substitute the given logarithms to the respective numbers.

Remember the laws of logaarithms that * changes to +

log 45 = 0.477*2 + 0.699

You will find that log 45 = 1.653

Answer 2

From the given logarithmic values the value of log45 derived as 0.1590.

What are logarithms?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, log5=0.699 and log3=0.477.

Here, log45 can be written as log9×log5=log3²×log5

= 0.477²×0.699

= 0.1590

Therefore, the value of log45 is 0.1590.

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Related Questions

Given the frequency table what percentage of the students in grade 11-12 like rock music round to the nearest whole percent

Rap rock country row total
Grades 9-10. 40. 30. 55. 125
Grades 11-12. 60. 25. 35. 120
Column totals. 100. 55. 90. 245

A 10%
B. 21%
C. 25%
D 45%

Answers

9514 1404 393

Answer:

  B.  21%

Step-by-step explanation:

The number of students in grade 11-12 is given in the total column: 120.

The number of those who like rock music is given in the second column: 25.

Then the percentage in 11-12 grade who like rock music is ...

  25/120 × 100% ≈ 20.833% ≈ 21%

blank plus 1/5 equals to 1/2

Answers

Answer: 3/10

Step-by-step explanation:

To get the value for the blank, treat it as a variable. Let’s say this blank is x.

x + 1/5 = 1/2

Subtract 1/5 from both sides:

x = 1/2 – 1/5

x = 3/10

The blank is 3/10.

Hope this helps!

The graph of linear function f passes through the points (-8,-2) and (4,4). What is the x-intercept of f?

Answers

Answer:

2

Step-by-step explanation:

X= 2

just make a graph and you got the answer

.

The value of the x-intercept if f passes through the points (-8,-2) and (4,4), is -4 and the equation of the line is 2y -x = 4.

What is function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The graph of linear function f passes through the points (-8,-2) and (4,4),

Calculate the equation of the line as shown below,

y - 4 = [4-(-2) / 4 - (-8)](x - 4)

y - 4 = 6 / 12 (x - 4)

y - 4 = 1/2 (x - 4)

2y - 8 = x - 4

2y -x = 4

Calculate the x-intercept by putting y = 0,

0 × 2 - x = 4

x = -4

Thus, the value of x is -4.

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which if the following equations fit this graph?​

Answers

y=3/2


That it I think so

please help meeeeeeeeeeeeeeeee

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex]\pi \times {r}^{2} \times \frac{h}{3} \\ 3.14 \times 3.5 \times \frac{9}{3} \\ = 32.97[/tex]

hope it helps

bye

Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.

Answers

Answer:

Solution;

given equation : 3.67 = c - 2.13

On solving equation, we get

c = 3.67 +2.13

c = 5.8

Hence, Janae solution is incorrect. So I disagree.

Solve the equation for the value of x

-5x=35

Please show your work, thank you.

Answers

Answer:

-5x=35            divide both sides by 5

-x=7                multiply both sides by -1

x=-7

One side has answers 5 the other one is 7

Help me please please

Answers

9514 1404 393

Answer:

  A: 8 ft²

  B: draw diagonal AC; 4 ft²

Step-by-step explanation:

Part A: The area is given by the formula ...

  A = bh . . . . . . . the product of base and height dimensions

  A = (9 ft)(8/9 ft) = 8 ft² . . . . area of the parallelogram

__

Part B:

Either diagonal (AC or BD) will divide the parallelogram into two congruent triangles, each with the same base and height as the parallelogram. It is no surprise, then, that the area of either of those triangles is ...

  A = 1/2bh

  A = 1/2(9 ft)(8/9 ft) = 4 ft² . . . . . . area of triangular half of parallelogram

__

AC divides the figure into congruent acute triangles; BD divides it into congruent obtuse triangles.

Please help I’m really struggling!!!!!

Answers

9514 1404 393

Answer:

  A.  x = {nπ, π/4 +nπ}

Step-by-step explanation:

The zero product rule tells you the solutions are found where the factors are zero:

  tan(x) = 0   ⇒   x = nπ

  tan(x) -1 = 0   ⇒   x = arctan(1) +nπ = π/4 +nπ

_____

When working with functions of trig functions, it is helpful to have an idea of the general shape of their graphs and a few "special" values.

help me plssssssssss

Answers

9514 1404 393

Answer:

  a, c, d

Step-by-step explanation:

b is NOT equivalent, because the content of parentheses is evaluated first. That makes the expression equal to 2/15, which is not equal to the given expression.

  [tex]\dfrac{2}{(5\times 3}=\dfrac{2}{15}\ne\dfrac{2}{5}\times3=\dfrac{6}{5}[/tex]

__

Expressions (a) and (d) are exactly the same thing, written using different symbols for division. Expression (c) is the equivalent.

Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
3.2 + 6 = -8
0 1 solution
O No Solution
O Infinite solutions

Answers

Answer:

No solution

Step-by-step explanation:

Three runners competed in a race data were collected at each mile mark for each runner If the runner ran at a constant paste the data would be linear a regression line was fitted to their data Use the residual plots to decide which data set is best fit by regression line and then identify the runner that kept the most consistent pace

Answers

Answer:

Runner C

Step-by-step explanation:

Tell me if I'm wrong but 100% sure I'm right

The linear regression for the best fit of the data to identify the runner that kept the most consistent pace is Runner C

What is linear regression line?

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

Three runners competed in a race data were collected at each mile mark for each runner

And , If the runner ran at a constant paste the data would be linear

Now , a  linear a regression line was fitted to their data

And , In linear regression, consistent data refers to a set of data points that fall in a linear pattern with a small amount of scatter around the line of best fit. The data is said to be consistent if the residuals (the vertical distances between the observed data points and the predicted values on the line of best fit) are relatively small and do not exhibit any patterns or trends.

So , the runner C has the most consistent pace among the three runners

Hence , runner C is the best fit for the regression line

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can you help me please

Answers

9514 1404 393

Answer:

domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3

Step-by-step explanation:

The expression reduces to ...

  [tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

the domain is all real numbers except -4 and +3

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

the range is all real numbers except 1

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

vertical asymptote at x=3; horizontal asymptote at y=1

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

Can someone help me pls

Answers

I think is B sorry if it’s not

I think the answer is B) Find m (arc DC)

f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.

Answers

The answers (2,5) because

What's the correct answer?

Answers

Answer:

Step-by-step explanation:

705

Answer I confirm the other persons awnser  it is 705

Step-by-step explanation:


I need help with this if you get it right I will mark you as brainlest

Answers

Answer:

The answer is 300!

Step-by-step explanation:

Answer: $300

Step-by-step explanation:

How we find it out is by finding 25% of $1,200 which is 300

David rode his bike a total of 214 miles from his house to the store. First he rode 34 mile from his house to his school. Then he rode 14 mile from his school to the library. Finally he rode from the library to the store. How many miles did David ride between the library and the store?

Answers

Answer:

166 miles

Step-by-step explanation:

Add the 34 miles he rode from home to school and the 14 miles he rode from school to the library.

34 + 14 = 48.

Subtract 48 from 214 to get 166

214 - 48 = 166

David rode 166 miles between the library and the store.

Hope this helps! Pls mark brainliest

solve inequality -8x < 32

Answers

Answer:

x > -4

Step-by-step explanation:

I just looked it up

But I know this is it

Answer:

Inequality Form:

x  >  − 4

Interval Notation:

(-4,∞)

Step-by-step explanation:

Please help, will mark Brainly and if you need help with anything I’ll help with any work you send

Don’t tell me to go to a website, it doesn’t work at all. Stop spamming that.

Answers

Answer:

In the first one you are missing (a +7) so it's going to be 9(a +7) or when you factor that out it will be 9a 63

In the other one you are missing the (a +5) so it's going to be 7a(a + 5) or when you factor it out it will be 7a2 + 35a

Step-by-step explanation:

a2+ 9a + 20 = (a + 4) (a + 5)

a2 + 11a+ 28 = ( a + 7) ( a + 4 )

Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute? There are 60 minutes in 1 hour.

Answers

The answer is .25 kilometers a minute.

This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer

You can check this answer by doing 15÷60 which comes out to .25 km a minute.

Answer:0.25m per minute

Step-by-step explanation:

You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes

Hope this helped :)

Tell me if it’s wrong :]

When f(x)= -4x + 7 ,find f(1)

Evaluate function for given value

Answers

Answer:

f(1)=3

Step-by-step explanation:

f(1)= -4(1)+7=3

My sister needs help with this problem

Can you post step by step
Thank you!

Answers

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

Please help.. You can answer one if you want but whoever answers both get brainliest

Answers

Answer:

1. A

2.C

Step-by-step explanation:

1. 170+170+10+10=360

2. 60x25=1500

1500/100=15

25-15=10

10% OF 10= 1

The answer is 11.

A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 33 pounds?​

Answers

Answer:

57 pounds weight is 95 percent of the limit i think

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

50% of 60 is 30

5% of 60 is 3

the table shows a sprinter's times in seconds for the 100 meter dash at the first meets of a season what sprinters time for the 100 meter dash at these meets

Answers

Answer:

10.116

Step-by-step explanation:

Add up all the times and then divide it by the number terms

At his birthday party, Aiden collected 15% of the candy that fell out of the piñata. If Aiden collected 6 pieces of candy, how many pieces of candy fell out of the piñata?

Answers

Answer:

40 pieces

Step-by-step explanation:

To make it easier, I'm gonna divide 15 by 3 and then multiply it by 2. Same with 6.

10% of candy = 4 pieces.

Multiply by 10

100% of candy = 40 pieces.

Isabella needs to earn at least $300 a week during her summer break to pay for college. She works two jobs, one at a office
that pays $8 an hour and the other tutoring for $16 per hour.
Let x be the number of hours she works at the office and let y be the number of hours she works tutoring. Write an
inequality that models this situation.

Answers

Answer: 8x+16y _> 300

Step-by-step explanation:

helppp pls i don’t get it

Answers

Answer:

what is the question i cant see the picture well

Step-by-step explanation:

g Radio and television stations often air controversial issues during broadcast time and ask listeners and viewers to indicate their agreement or disagreement with a given stand on the issue. A poll is conducted by asking those listeners and viewers who agree to call a certain 900 telephone number and those listeners and viewers who disagree to call a second 900 telephone number. All respondents pay a fee for their calls. Does this polling technique result in a random sample

Answers

Answer:

NO, it does not.

Step-by-step explanation:

From the information provided, we know that the surveying method for the polling depends on the no. of calls got on the two sorts of 900 phone numbers.  

This surveying strategy doesn't address a random sample in light of the fact that the viewers who see the show can be restricted. Additionally, among the viewers of the show, the reactions depend on viewers who intentionally approach to offer or air their opinion. Therefore, the acquired sample doesn't address a random sample and specifically, we can posit that the sample occurs to be a voluntary sample.

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