find the value of log9 0.24. (hint: log2=0.301 log3=0.477)

Answers

Answer 1

Answer:  -0.65 approximately

Work Shown:

[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]


Related Questions

24,761 divided by 24

Answers

Answer:

1031.70833333

Step-by-step explanation:

Some one help me? ill give 50 points

Answers

Answer:

v=[tex]\frac{(w+v)/t}{2}[/tex]

Step-by-step explanation:

just inverse operations and you will always get your answer :)

Harry is riding a train that goes 70 miles an
hour. How far will he travel is 3.5 hours?

Answers

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

Harry will travel 24.5 miles

(70) (3.5) = 24.5

pls help me due t
in 1 hrs I'll give u brainliest answer

If x²+y²=125 and xy=22, find the value of (x+y)².

Answers

[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(x + y) {}^{2} [/tex]

[tex] \sf {x}^{2} + {y}^{2} + 2xy[/tex]

[ by using formula ]

[tex] \sf125 + (2 \times 22)[/tex]

[tex] \sf125 + 44[/tex]

[tex] \sf169[/tex]

I hope it helps ~

Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.

Help

Answers

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

Please help I need the answer quick this assignment is almost due!

Answers

the correct answer is x= -3

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

Evaluate the coefficient of x^5 and x^4 in the binomial expansion of (x/3-3)^7. Hence find the coefficient of x^5 in (x/3-3)^7(x-6)

Answers

Recall the binomial theorem:

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.

Take a = x/3, b = -3, and n = 7. Then we get the x⁵ and x⁴ terms when 7 - k = 5 and 7 - k = 4, respectively; or when k = 2 and k = 3.

[tex]k=2 \implies \dbinom 72 \left(\dfrac x3\right)^{7-2} (-3)^2 = 21 \cdot \dfrac{x^5}{243} \cdot 9 = \dfrac79 x^5[/tex]

[tex]k=3 \implies \dbinom 73 \left(\dfrac x3\right)^{7-3} (-3)^3 = 35 \cdot \dfrac{x^4}{81} \cdot (-27) = -\dfrac{35}3 x^4[/tex]

Then when multiplying this expansion by x - 6, we get an x⁵ terms from the products

[tex]\dfrac79 x^5 \cdot (-6)[/tex]

and

[tex]-\dfrac{35}3 x^4 \cdot x[/tex]

so that the x⁵ term in the overall expansion of (x/3 - 3)⁷ (x -  6) has a coefficient of

[tex]\dfrac79\cdot(-6) + \left(-\dfrac{35}3\right) \cdot 1 = \boxed{-\dfrac{49}3}[/tex]

Your classmate is telling you how they plan to become financially secure.
Which of the following factors can help him do so?
A saving money
B investing money
C both saving and investing money
D neither saving nor investing money

Answers

Answer:

savind and investing money

2 lines are not parallel, how many solutions are there

Answers

Answer:

Either one: the two line have a point in common, or infinite: they are the same line.

What functions have a range of {y £ R | -

Answers

Answer:

the second and the fourth have a range of real no

Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $800 per week. How much did she earn last week if she sold $4,700 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

1164.25

Step-by-step explanation:

According to the website www.olx.uz, monthly rent for a two-bedroom apartment has a mean of
$250 and a standard deviation of $100 in the city of Andijan. The distribution of the monthly rent does not
follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample
of 40 two-bedroom apartments and finding the mean to be at least $275 per month?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of $250, hence [tex]\mu = 250[/tex].The standard deviation is of $100, hence [tex]\sigma = 100[/tex].The sample is of 40 apartments, hence [tex]n = 40, s = \frac{100}{\sqrt{40}}[/tex].

The probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a p-value of 0.9429.

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate

Answers

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

8.56%

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

710 - 654 = 56

Find the percent error, which is the error over the actual:

56/654*100% = 8.56%

What is the equation in standard form of the line y= 1/9x +5

Answers

Answer:

answer below

Step-by-step explanation:

9(y = 1/9x + 5)

9y = x + 45

-x + 9y = 45

x - 9y = -45

William has $22 to buy strings for his guitar. Each set of strings costs $5.
How many sets of strings can he buy? Do not include units in your answer.
Answer here
SUBMIT

Answers

Answer:

4

Step-by-step explanation:

4 sets of strings will cost:

4×5=20

He will have $2 left over. Not enough to buy another set.

Or 5x<=22 DIVIDE BOTH SIDES BY 5

x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets

f(x) = 11 – 5x for f(9)

A.-46
B.-44
C.44
D.45

Answers

Answer:45

Step-by-step explanation: math solver

Answer:

the answer is not there. the answer is -34

Step-by-step explanation:

11-5(9) .        11-45

2/3x + 4 = 2 Solve the equation algebraically show work to support the answer

Answers

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

What is 25+25-100+25+25

Answers

Answer: 0

Step-by-step explanation: when you add 25+25 it is equal to 50. when you subtract 100 from 50 it gives you -50. when you add 25+25= 50 so you add that -50 and 50 and it gives you zero (im not very good at explaining hope it helped)

Write an equation of the line in slope-intercept form. 2. 3. (0, -1) (0.4) 2 3 4 5 * 86 (4, -2) -6 (-5, -3)​

Answers

1. y=mx+b
y=-1/4x-1

2. y=mx+b
y=3.5/2.5x+4

Alistar is going to build fence around the outside of his garden

a) draw an accurate scale drawing of the garden using a ruler and compasses.use scale 1 cm to 2m

b) how long the fence be?

Answers

Answer:

32+[tex]\sqrt{200}[/tex]

Step-by-step explanation:

First - one side is 10m and other one is 16, so adding this 26m

Second-hypotenuse is sqrt of 10*10+10*10.

Third-  Remainder is 16-10 because  that is isosceles triangular.

Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15

Answers

Answer:

A  yes     B No    C  Yes

Step-by-step explanation:

The length of the third side is greater than the difference and less than the sum of the two smallest sides.

8, 5, 7    Using the 5 and 7  the third side is > (7 - 5) and < (5 + 7)

                                              the third side is  > 2  and < 12 so 8 is OK

10, 3, 7   Use the two smallest number: 3 and 7

                                               the third side is  > (7 - 3) and < (3 + 7)    

                                               the third side is > 4 and < 10   No it is 10

9, 5, 15    Use the two smallest number 9, 5

                                               the third side is > (9 - 5) and < (9 + 5)  

                                               the third side is > 4 and < 14       Yes  

Answer:

A. 8, 5 , 7

Step-by-step explanation:
the other guy who answered  gave two yes's so I chose one and A. was correct.

Measure the paper clip to the nearest 1/8 inch.

A. 1 2/8 inches

B. 1 1/2 inches

C. 1 4/8 inches

D. 1 3/8 inches

Answers

Answer:

1 3/8   D

Step-by-step explanation:

The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?

It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.

So that resembles an average.

(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2

[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]

Now the trick is to invert the denominator (make it 1/2) and multiply

3/4 * 1/2 = 3/8

URGENT PLS HELP

John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?

1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18

Answers

2. d=16 + 18t because 18 represents the miles he noted and adding the 16 would be 34. Since t is representing time, and you don’t know in how much time he traveled 18 miles it’d be with the 18.

can someone please help me

Answers

Answer:

The mode is 31

good luck naka

The mode is 31 good luck hahahah

The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width

Answers

Set up figure, side length x, and width x-7. Set equation up

[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]

Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)

heeeeeeeeeeeeeeeeeeeelp me plssssssssssss

Answers

Answer:

Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.

So (a) is the answer

Diagonal lines are linear functions

Answer:

Diagonal lines........

solve and check the equation
2(4-5x) = 2(3x+2)

Answers

ANSWER: 0,25
Ok done. Thank to me :>
2(4-5x)=2(3x+2)
8-10x=6x+4
Subtract 4 on both sides
4-10x=6x
Add 10x to both sides
4=16x
Divide both sides by 16
0.25=X

Check

2(4-5x)=2(3x+2)
2(4-5(0.25))=2(3(0.25)+2)
2(4-1.25)=2(0.75+2)
2(2.75)=2(2.75)
5.50=5.50

Help meeeeeeeeeeeeedsddsss9

Answers

Answer:

2(x + 3) <9

Step-by-step explanation:

Two times the quantity of a number increased by 3 is less than 9

       2  ·                                          (x + 3   )                           < 9    

     = 2(x + 3) <9

the ordered pair (2, - 3) has a solution to which of the following inequalities?

Answers

You forget to upload a picture
But you can just substitute x by 2 Andy by -3 if the equation is true then it is a solution

3. Find to the nearest thousandth: log7 80

Answers

Answer:

I believe 1000

Step-by-step explanation:

Other Questions
Senaits friend is stressed about an upcoming test. Senait already took the test and got 100%, so she knows all the answers already. Should she: what is mauna loa volcano intensity? para fabricar una cortina se necesita comprar 32 m de tela Si el metro vale $44 Cunto se pagar en total Which of the following is a rational number? Read the excerpt from Good Country People. Mrs. Hopewell liked to tell people...how she had happened to hire the Freemans in the first place and how they were a godsend to her and how she had had them four years. The reason for her keeping them so long was that they were...good country people ...Before the Freemans she had averaged one tenant family a year...Mrs. Hopewell, who had divorced her husband long ago, needed someone to walk over the fields with her; and when Joy had to be impressed for these services, her remarks were usually so ugly and her face so glum... that Mrs. Hopewell would say, If you cant come pleasantly, I dont want you at all, to which the girl, standing square and rigid-shouldered with her neck thrust slightly forward, would reply, If you want me, here I amLIKE I AM. Based on the excerpt, what inferences can be made about the storys setting? an equivalent expression to x-2y+3 what's the answer? and how did you get it?? A crate slides down a ramp that makes a 20 angle with the ground. To keep the crate moving at a steady speed, Paige pushes back on it with a 68 N horizontal force.Part AHow much work does Paige do on the crate as it slides 3.0 m down the ramp? please help me out! (photo attached) 1.Wear a sun hat____ you'll get sunburnt. A. so B. but C. or D. and2.My sister works _____ the benefits of the community. A. with B. forC. to D. on3.Weve asked my friends to books to the poor children. A. donateB. recycleC. provideD. clean4.My brother____ carving wood because he thinks it is difficult A.like B.likes C. dont like D. doesnt like5.He is holding his neck. I think he has ____A.a sore throat B. flu C. sunburn D. a toothache After nitrogen becomes part of the lithosphere, the next change the nitrogen will under go is it will beA used as a nutrient by plantsB fix by bacteria in the soilC absorbed into the atmosphere by lightning The relationship between y and x is 9/3 which table represents this relationship and why? What are the symptoms of Malaria? 15 more than the quotient of a number x and 12. which event occurs as a direct result of pops tellling ted he wants t get rid of Ollly The table shows the distance between Greenville and nearby towns. The distance between Astaville andGreenville is 14 miles less than the distance between Greenville and Jonesborough,Distance between Greenville andNearby Towns(miles)Jonesborough24Willfower 21Maybem 30Part 1 out of 2Enter two equations that state the relationship of the distances between the three towns. Use x as thevariable Which metals can be extracted from following ores (i) Argentite (ii) Haematite (iii) Chalcopyrite (iv) Bauxite May someone help me please! PLZZ HELP, Best answer gets brainliest!To _____________ means to resemble or become part of a whole.assimilatesegregatecompelprosper Write the inequality represented by the graph below.