1/3log125/8-2log2/5+log80/125​

1/3log125/8-2log2/5+log80/125

Answers

Answer 1

Answer:

1

Step-by-step explanation:

⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)

The above expression can be simplified as follow:

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

Recall:

a LogM = Log Mᵃ

Therefore,

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)

= Log(5/2) – Log(4/25) + Log(16/25)

Recall:

Log M – Log N = Log M/N

Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)

Log(5/2) – Log(4/25) = Log (5/2 × 25/4)

Log(5/2) – Log(4/25) = Log (125/8)

Therefore,

Log(5/2) – Log(4/25) + Log(16/25)

= Log (125/8) + Log(16/25)

Recall:

Log M + Log N = Log MN

Log (125/8) + Log(16/25)

= Log (125/8 × 16/25)

= Log 10

= Log₁₀10 = 1

Therefore,

⅓Log(125/8) – 2Log(2/5) + Log(80/125)

= 1


Related Questions

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members

Answers

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

find the values of b
b²= 256
b=?​

Answers

Answer:

if b²=256

then b=16

....................

Answer:128

Step-by-step explanation:

bsqured=256 squre root. b=256÷2. =128

Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries. Which sample should Javier use to get results that are the most representative of the total population? A. A random sample of 1,000 people from each of the 50 states B. A random sample of 1,000 people from his town C. A random sample of 1,000 people from his state D. A random sample of 1,000 people from 5 local grocery stores​

Answers

Answer:

a

Step-by-step explanation:

Because if he picks b which is only from his own town the rest of the states will not be included. If he pick only from his own states then he only represents his own states and for d 5 local grocery store we don't know which country it represents A is the correct answer.

The sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Here, sample which Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries.

To find the sample, which Javier use to get results that are the most representative of the total population, we have to check all the options.

Lets, check all the options,

A. A random sample of 1,000 people from each of the 50 states-This includes the sample from each state. This gives the fair and equal chance to be chosen the sample from the country. Hence, this is the correct option. B. A random sample of 1,000 people from his town-This option only include his own town and does not include any other town. Hence, this is not the correct option.C. A random sample of 1,000 people from his state-This option only include his own state and does not include any other state. Hence, this is not the correct option. D. A random sample of 1,000 people from 5 local groceries stores-This 5 local store may represent his country or any other country. Hence, this is not the correct option.

Hence, the sample which Javier use to get results is a random sample of 1,000 people from each of the 50 states.

Learn more about the random sample here;

https://brainly.com/question/17831271

Find the value of 2.
35°

(x + 95)°

Answers

Answer:

x = 25°

Step-by-step explanation:

The sum of the interior angles of a triangle = 180°

180° = 35° + x° + x + 95°

2x° = 50°

x = 25°

Question 3
5 pts
(05.01 MC)
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of
4.5? (5 points)
6 cm
H
8 cm
O Perimeter - 126 cm, area = 131.25 cm?
O Perimeter = 46 cm, area = 972 cm?
Perimeter = 126 cm, area = 972 cm2
Perimeter - 46 cm, area = 131.25 cm2

Answers

Answer:

Perimeter is 126cm and area is 972[tex]cm^2[/tex]

Step-by-step explanation:

Scale factor means you multiply the dimensions by the factor. In this case 4.5

The width 6cm becomes 27cm. The length 8cm becomes 36cm.

Perimeter = 2*L + 2*W, L is length and W is width.

[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]

Area = L*W

[tex]A=27cm*36cm\\A=972cm^2[/tex]

What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in.?

Answers

Step-by-step explanation:

anewer is 30 cubic inches.

11 divided by 30.8 PLEASE I NEED HELP

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

30.8/11=2.8

11/30.8=0.357142857

Step-by-step explanation:

give me brainlest please

mario is saving his money in order to buy a new video game, he decides to save $5 of his allowance every week. the equation he writes to describe the total amount of money he will save each week is shown below.

Answers

There’s are 7 days in a week and he said he saves $5 dollars so 7x5 is 35. So he gets $35 dollars a week.

The line plot shows the amount of time (in hours) that Jodi practiced the flute over 8 days.

Answers

Answer:5 1/2 hours

Step-by-step explanation:

I need help I dont quite understand it

Answers

X=3

Explanation :-
20/5=4
8/2=4
They are both 4 so you will do
(5x-11)=4
-11+11=0
4+11=15
5x=15
15/5=3
x=3
Hope it helps

the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?

Answers

15% - 40. -25 = 1500 percent take out the zero because they have zero value and your left with 15 which is 15%

what time will a car traveling at an average speed of 30km/hr cover a distance of 45km​

Answers

Answer:

1 1/2 hr

Step-by-step explanation:

Help! I will give you A 100 points

Answers

Answer:

3. A = (0,-3)

   B = (4,-2)

   C = (-1,1)

4. A = (0,-6)

   B = (4,-5)

   C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

your answers:

3. A = (0,-3)

  B = (4,-2)

  C = (-1,1)

4. A = (0,-6)

  B = (4,-5)

  C = (-1,-2)

Which equation can be used to solve x + 3 = 15?​

Answers

Answer:

The equation 15 - 3 = x will help solve for x.

x = 12

Step-by-step explanation:

15 - 3 = 12

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

x = 15 - 3

Step-by-step explanation:

We need to isolate the variable for this. Simply subtract by 3 to get the equation.

x + 3 = 15

   -  3    - 3

x = 15 - 3

the real answer would be 12, if you need that.

WILL MARK BRAINLIST JUST HELP NOW
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of X.

A) 10 degrees
B) 25/5 degrees
C) 40 degrees
D) 160 degrees

Answers

Answer:

definitely A

Step-by-step explanation:

10 degrees. hope this helps lovely <3

In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.

Answers

Answer:66.3

Step-by-step explanation:

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104

Answers

Answer: b. 8

Step-by-step explanation: I don’t have work

The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.

Calculation of the radius of the circle;

Since

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.

Also we know that

Area of the sector = [tex]65 / 360 *[/tex] Area of circle

[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]

r = 8

Hence, The radius of the circle in inches should be considered as the 8.

Learn more about circle here: https://brainly.com/question/15593101

PLEASE ANSWER QUICKLY!

Kendra knits hats. She starts with 3 3/4 yards of yarn. After knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left. At what rate does the amount of yarn change?

Answers

Answer:

The amount of yarn changes at 0.5 yards per hour.

Step-by-step explanation:

Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:

3/4 = 0.75

1/4 = 0.25

1/8 = 0.125

3.75 - 1.125 = 2.625

2.625 / 5.25 = 0.5

Thus, the amount of yarn changes at 0.5 yards per hour.

Jim can buy 2 cakes for $40. At that rate, how much will it cost to buy 7
cakes?

Answers

Answer:

$140

Step-by-step explanation:

2 diveded by 40 is 20. 20 multiplied by 7 is 140.

Answer:

$140

Step-by-step explanation:

1 cake = $20

7 cakes * $20 per cake

= $140

Keeping it simple by asking for more help. Question 10.

Answers

Answer: I will go with A  or you can choose d if you want

Step-by-step explanation:

The population of a bacterial culture grows at a rate of 4.5% every hour. If there were
200 bacteria at the start, how many bacteria are present after 10 hours?
310
250
300
370

Answers

I’m guessing 250

Hope it helpful

There are 310 bacteria are present after 10 hours.

The first is the correct option.

What is Exponential Growth?

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Given:

The population of a bacterial culture grows at a rate of 4.5% every hour.

If there were 200 bacteria at the start,

then the number of bacteria after 10 hours are,

y = 200(1 + 0.045)¹⁰

y = 310.6

Therefore, 310.6 bacteria are present after 10 hours.

To learn more about the exponential growth;

https://brainly.com/question/12490064

#SPJ2

URGENT!!!!!! What is the length of the major axis of the conic section shown below?

Answers

the length of the major axis is equal 2 · 7 = 14

Step-by-step explanation:

Nun

Find the surface area of the pyramid.

A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.

Answers

Answer:

532.79yards²

Step-by-step explanation:

Surface area of a pyramid = A + 1/Ph

A is the base area

P is the perimeter of the base

h is the height of the pyramid

Given the following

Height of triangular base = 17.3yards

Base of the triangle = 20yards

Height of prism = 12yards

Base Area = 1/2 × 20×17.3

Base Area = 10×17.3

Base Area = 173yd²

For the Perimeter P

Get the slant height using Pythagoras theorem

s² = (20/2)²+17.3²

s² = 10²+17.3²

s² = 100+299.29

s² = 399.29

s = √399.29

s = 19.98

Perimeter = 19.98+19.98+20

Perimeter = 59.96yards

Substitute

Surface Area = 173+1/2((59.96)(12)

Surface Area = 173+6(59.96)

Surface Area = 173+359.79

Surface Area = 532.79yards²

Lisandra made 18.3 quarts of split pea soup for her restaurant. She wants to put the
same amount of soup into each of 15 containers.
How much soup should Lisandra put into each container?
Lisandra should put
quarts into each container.

Answers

Answer: 3.66

Step-by-step explanation:

18.3 divided by 15

Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need?


This is what my kid asked me

Answers

Answer:

176 tiles

Steps by step:

3/2 inches snow fell in 3/4 of an hour which two statements are true

Answers

Answer:

I don't see the two statements

Step-by-step explanation:

Answer:

A and E Usa test prep

Step-by-step explanation:

I know it might be late by now but this is for the people who are searching for the answer for the future

How many cups are in 16 gallons?

64
256
128
2,048

Answers

Answer:

256 cups

Each gallon has 16 cups so 16 gallons would have 16*16 cups. 16*16 = 256

Be Strong Now, Because Things Will Get Better. It Might Be Stormy Now, But It Can't Rain Forever.

Answers

Answer:

aw ty but is there a question?

Step-by-step explanation:

I don’t know, maybe other people will help

Sarah has an $80 gift card to a store at the mall. She uses the gift card to buy a
shirt for $14, and also wants to buy some earrings for her and her friends. Each
pair of earrings cost $6. Which one of these inequalities represents the situation,
where e is the number of pairs of earrings Sarah can buy?

Answers

Answer:

80-14= 66

66

11x6= 66

So she can get 11 pairs of earrings

I think I’m doing this wrong but I hope this gives u an idea

Step-by-step explanation:

Answer:

She can buy 11 pairs

Step-by-step explanation:

$80-14=66

Each costs 6, so 66/6=11

Sarah can buy 11 pairs.

How is basic math used in a business? Give me three examples.

Answers

Answer:

Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.

Other Questions
why your hands is important to you (4n+1)(2n+6) multiply polynomials Amy tutors math. For each hour that she tutors, she earns 30 dollars.Let E be her earnings (in dollars) after tutoring for H hours.Write an equation relating E to H. Then use this equation to find Amy's earnings after tutoring for 13 hours. Equation:Amy's earnings for 13hour :dollars what does the symbolism suggest about the man? Please help ASAP! thank you ( geometry) Which equation matches this graph?y=(1) +y = 4 +3-3 -2 -10y=-()* +3y = -4" + 3 8. Which level provides licenses and education? Jordon dog weighs P pounds. Emmets dog weighs 25% more than Jordons Dog. Which expression represents the weight in pounds of emmets dog select two answers 0.25p 1.25p p+0.25 P+ 1.25 p+0.25p Why was the fall of Berlin Wall symbolic?It symbolized the collapse of the Soviet Union that occurred soon after.It symbolized the anger of the West Berlin citizens that they had live under communism.It symbolized the end of the Berlin airlifts that stopped soon after.It symbolized the destruction of the arms race that had led to too many missiles. Justin asks his friend Josh if hes ready to go have lunch, and Josh snaps, What do you think? Confused by his friends behavior, Justin responds: Josh, you seem upset. Is something bothering you, or are you just really hungry? Please help me understand. Justin is using the communication technique of _________. A. self-concept B. self-esteem C. self-fulfilling prophecy D. perception checking Which expression is equivalent to? Everyone reacts to stress in the same way.Please select the best answer from the choices provided.True or False What kind of attitude is being shown in promoting a healthy relationship in marriage when both couples communicate to each other to clear things or gap between them 2) In which month did the stranger arrive? A) December B) February C) January D) March What does steel classify as?A. CompoundB. MixtureC. ElementD. Electrons 4. What is the specific heat of a substance if 5800 joules isreleased in a 250 gram sample that will cool the substance from60 degrees to 45 degrees? Evaluate a--3 for Q = -3 and b = -3. Explain why it took Hinton so long to write and publish another book after TheOutsiders. ADD THE EXPRESSIONS (-3/5n - 2 - 3t) + ( 5n + 4 - 1/2 t) In a given figure, < A and < B are vertical angles. The measure of < A is 4x + 22 and the measure of < B is 38 degrees. Write and solve an equation to find the value of x.