Product property:

logby = logbx + logoy

How would you expand log 12 so that it can be

evaluated given 10943 = 0.792?

Answers

Answer 1

Answer:

log 12 = 1.0791

Step-by-step explanation:

Step(i):-

Given that the logarithmic function is log12

We will apply the formula

log by = log b + log y

log xⁿ = n log x

Step(ii):-

log 12 = log 4 × 3

         = log 4 + log 3

         = log 2² + log 3

       = 2 log 2 + log 3                 (∵ log xⁿ = n log x)

      = 2× 0.3010 + 0.4771

     =  1.0791

Answer 2

Answer:

option 3 on edge

Step-by-step explanation:

the next one of option 3

The third question option 2


Related Questions

No fake answers or reported.
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest. Directions: 1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.) 2. Place a trash can (or other large container) 5 feet away. 3. Predict how many paper balls you will be able to get into the basket. Type your prediction. 4. Type your results as a fraction. 5. Type your results as a decimal.

Answers

Answer:

I Predict I can make all 10/10 paper balls into the trash can.

Step-by-step explanation:

Sadly, I was wrong, I only got 8 paper balls into the trash can...Its not my fault though, my cat kept attacking my midair balls, anyway I got 8/10 which means I got 80 percent which means I got...move decimal one left...I got (in decimal) .8 (I'm ticked that I missed any cat or no cat, My fav sport is basketball and usually in really good with my shots)

HELP ME PLZ!!!!!!!!!!!!!!!!!!

Answers

Answer:

A) 2 adults ....

B) 2% of adults.....

C) 3 % of adults...

Step-by-step explanation:

All the adults are 100 do any numbers past or under is like deciding by 100

Hope I helped

A circle has a diameter of 42 inches. What is the circumference of the circle? Use 227 for π.

Answers

Answer:

132 in = C

Step-by-step explanation:

Please, write 22/7 to approximate π.

The circumference formula is C = 2πr or dπ, and here C = (42 in)π

Then an approximation to the circumference of this circle is

42(22/7) = 6(22 in) = 132 in = C

Aranibar had 35 in his safety box in January. By thanksgiving, he has $2500. What was his savings rate?

Answers

Answer:

71.43%

Step-by-step explanation:

2500/35 = 71.43

Aranibar's savings went up by 71.43%

71.43% that is your answer

Find the lateral surface area of a triangular prism with height of 6 inches and right triangles bases with legs 9 inches and 12 inches

Answers

Given:

Height of a triangular prism = 6 inches

Legs of right triangular base are 9 inches and 12 inches.

To find:

The lateral surface area of a triangular prism.

Solution:

According to the Pythagoras theorem:

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]

[tex]Hypotenuse^2=81+144[/tex]

[tex]Hypotenuse^2=225[/tex]

Taking square root on both sides, we get

[tex]Hypotenuse=\sqrt{225}[/tex]

[tex]Hypotenuse=15[/tex]

Now, the lateral surface area of a triangular prism.

[tex]A=Ph[/tex]

Where, P is the perimeter of the base and h is the height of the prism.

[tex]A=(9+12+15)\times 6[/tex]

[tex]A=(36)\times 6[/tex]

[tex]A=216[/tex]

Therefore, the  lateral surface area of a triangular prism is 216 square inches.

For the experiment of drawing a single card
from a standard 52-card deck. Find (a)
the probability and (b) the odds in favor
of each of the following:
1. An Ace
2. A red Jack
3. An Ace or a Club
4. Not a heart, or a 7

Answers

Answer:

what do you mean? can you please explain this better so i can help you? :)

Step-by-step explanation:

How much would 6 board foot cost at $3.25?

Answers

Answer:

If you mean 3.25$ a foot, it would cost 19.5$.

Step-by-step explanation:

Multiply 6 by 3.25, and you get 19.5.

Hope that this helps!

Does y=-x+5 have one solution, no solution, or infinite solutions?

Answers

Answer:

I believe it has infinite solutions

Step-by-step explanation:

I’m pretty sure it’s infinite solutions

SOMEONE TELL ME WHAT IS 2,000 MINUS 1/4

Answers

Answer:

1999.75

Step-by-step explanation:

2000 - 0.25

1999.75

answer the following

Answers

1/4
=0.25 x 100
=25 percent

Answer:

hi

Step-by-step explanation:

whatup its bruce i am still deeply in love with you

Please answer correctly! I will mark you brainliest! Pictures go together!

Answers

Answer:

288pi

Step-by-step explanation:

The equation for volume of a sphere is 4/3 * pi * r^3

4/3 * pi * 216

288pi

Four sisters bought a present for their mother they received a 10% discount on the original price of the gift. After the dicount was taken, each sister paid $9.00. What was the orginal price of the gift?

Answers

Answer:

$40.00

Step-by-step explanation:

the total price of the gift (after discount) is 9.00 * 4 = 36

the original price of gift can be found using this equation:

x - (x*0.10) = 36

x - 0.10x = 36

0.9x = 36

x=40

Kathy gets to school at 8.20 a.M every day.It takes her 12 minutes to get from her house.Kathy wants to get to school 15 minutes earlier what time should kathy leave her house?

Answers

Answer:

7:53

Step-by-step explanation:

subtract 15 minutes from the time she arrives.

you get 8: 05 a.m. the distance from home to school is 12 minutes to reach at 8:0 5 subtract 12 minutes to know what time she'll leave...

if you remove 12 minutes from 8 or 5 a.m. get 7:53 a.m.

how many students must be enrolled for the teacher to make 1,000 profit per month

Answers

Answer:

20

Step-by-step explanation:

Help me with this!!!!!!

Answers

Answer:

16.3

Step-by-step explanation:

You can use pynthagoras theorem.

And round it to nearest tenth...

hope i helped

Answer:

16.3 feet

Step-by-step explanation:

find the value of the missing side using the pythagorean theorem -

[tex]a^{2} + b^{2} = c^{2}[/tex]  ->  [tex]3^{2} +a^{2} =7^{2}[/tex]  ->  9 + [tex]a^{2}[/tex] = 49  ->  [tex]a^{2}[/tex] = 40  -> take the square root of both sides: [tex]\sqrt{a} = \sqrt{40}[/tex]  ->  a = 6.3

then you add it with the other two sides to get the perimeter: 6.3 + 3 + 7 = 16.3

The diameter of a circle is 13 m. Find its area to the nearest tenth.

Answers

Answer:

A ≈ 132.73

Step-by-step explanation:

If you have any questions feel free to ask in the comments

5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?

Answers

Answer:

30 feet

Step-by-step explanation:

The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.

Which of the following inequalitties is correct

-a > -b

-a > a

a > c

(Look at picture)

Answers

Answer:

You were right the correct option is

- a > - b

AABC is dilated by a factor of to produce AA'B'C! 3 What is A'B' , the length of AB after the dilation? What is the measure of 24? A. AB = 68, MZA= 28" B. AB'= 15, mZA= 62 C. ABP = 17, m.ZA'= 14° D. A'B'= 17, mAA'= 28​.
ILL MARK BRANLIEST

Answers

Answer:

a it is a because u can see it

Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that - 2 + i and 7 are zeros.

Answers

In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as

p(x) = a x ³ + b x ² + c x + d

We're told the leading coefficient is a = 1, so

p(x) = x ³ + b x ² + c x + d

Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.

Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:

p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)

Now just expand this to get

p(x) = x ³ - 3 x ² - 23 x - 35

√4x-3 +√2x+3=6





pls answer its​

Answers

Answer:

X = 3

Step-by-step explanation:

STEP 1: Isolate a square root on the left hand side

Original equation

     √4x-3+√2x+3 = 6

     Isolate

     √4x-3 = -√2x+3+6

STEP 2: Eliminate the radical on the left hand side

Raise both sides to the second power

     (√4x-3)2 = (-√2x+3+6)2

After squaring    

4x-3 = 2x+3+36-12√2x+3

STEP 3: Get remaining radical by itself

 Current equation     

4x-3 = 2x+3+36-12√2x+3

 Isolate radical on the left hand side

12√2x+3 = -4x+3+2x+3+36

Tidy up 

12√2x+3 = -2x+42

STEP 4: Eliminate the radical on the left hand side

     Raise both sides to the second power

     (12√2x+3)2 = (-2x+42)2

     After squaring

     288x+432 = 4x2-168x+1764

STEP 5: Solve the quadratic equation

     Rearranged equation

      4x2  - 456x  + 1332 = 0

     This equation has two rational roots:

       {x1, x2}={111, 3}

 

STEP 6: Check that the first solution is correct

     Original equation, root isolated, after tidy up

     √4x-3 = -√2x+3+6

     Plug in 111 for  x 

      √4•(111)-3 = -√2•(111)+3+6

      Simplify

      √441 = -9

      Solution does not check

      21 ≠ -9 

STEP 7: Check that the second solution is correct

     Original equation, root isolated, after tidy up

     √4x-3 = -√2x+3+6

     Plug in 3 for  x 

      √4•(3)-3 = -√2•(3)+3+6

      Simplify

      √9 = 3

      Solution checks !!

     Solution is:

      x = 3

Exact form x=69/8 decimal form x=8.625
Mixed number form x=8 with 5/8

convert 10 hours into minutes

Answers

Answer:

600 minutes

Step-by-step explanation:

60 minutes in an hour

60 × 10 is 600

1/9 equals what squared?​

Answers

Answer:

1/3 I think??????

Suppose you deposit $1,500 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain $2,000?
d. How many years will it take for the account to contain $2,500?

Answers

Answer:

The solution is given below.

Step-by-step explanation:

Given that

Deposited amount = $1,500

Rate of interest = 5%

We need to find out the following things

a. The account after 4 years i.e. future value

As we know that

Future value = Present value × (1 + rate)^time period

Future value = $1,500 × (1 + 0.05)^4

Future value = $1,500 × (1.05)^4

Future value = $1,823.26

b. The account after 16 years i.e. future value

As we know that

Future value = Present value × (1 + rate)^time period

Future value = $1,500 × (1 + 0.05)^16

Future value = $1,500 × (1.05)^16

Future value = $3,274.312

c. The number of years that contain the amount of $2,000

Here

PV = $1,500

FV = $2,000

PMT = $0

RATE = 5%

The following formula should be applied

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 4.94 years

d. The number of years that contain the amount of $2,500

Here

PV = $1,500

FV = $2,000

PMT = $0

RATE = 5%

The following formula should be applied

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 8.77 years

Based on John’s profile, what information should he expect to find on his credit report? Check all that apply.

inquiries from his lenders, the apartment complex, and Happy Hamburgers
a note about delinquency from National Bank
a current account for his student loan
a current account with National Bank
a current account with Happy Hamburgers

Answers

Answer: A,C,D

Step-by-step explanation:

I did the test

help now pls thank u

Answers

Answer:

120 inches of strands

Step-by-step explanation:

finding the diagonal

=[tex]\sqrt{(100+576)}[/tex]

= 26 inches

perimeter of the window = 2(10+24)

                                         = 68 inches

  total strands needed to be purchased = [(2×26)+68] inches

                                                                   = 120 inches of strands

if one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k

Answers

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

Quadrants on the coordinate plane Select the quadrant or axis where each ordered pair is located on a coordinate plane. Quadrant Quadrant II Quadrant III Quadrant IV I-axis y-axis (-9.-8) (1.0) (7.5.2 Stuck? Watch a video or use a hint. Report a problem​

Answers

Answer:

lll

Step-by-step explanation:

Write the quadratic function in vertex form: f(x) = 8x2 + 2x - 5

Answers

Answer:

[tex]\left(-\frac{1}{8},\:-\frac{41}{8}\right)[/tex]

Step-by-step explanation:

If you have any questions feel free to ask in the comments.

If p and q vary directly and p is 30 when q is 6, determine q when p is equal to 9.

Answers

Answer:

here  is the link the.hh/g49

Step-by-step explanation:

Answer:

q = 45

Step-by-step explanation:

Since q is 30 when p is 6, we divide to find the rate.

30/6=5.

If the rate is 5 we multiply the new p, 9 by five as well.

9*5=45

45 is q ok

Other Questions
Can You Read Backwards Random answers will be ReportedBrainliest for answer that is CorrectffeJ si eman ym Which of the following is irrational?WILL GIVE 20 POINTS!! PLEASE SOMEONE HELP ASAP If the integers 12, -6, 8 , -5, 7, -9, -11 are marked on the number line, the number that comes on the extreme left is ________. When x=5, which expression has the greatest value?A. 2x+6B. 3x+2C. 4x5D. 5x10Choose one correct answer.'' PLEASE HELPPPPPPPPPPPPPPPPP I need help plz I'm struggling with how is the killer whale related to the dolphin (bottlenosed) What elected office does the President of the State Senate hold ___________________________________________? A Swordfish can weigh up to 1,400 kilograms. A human weighs 70 kilograms. How many humans weigh the same as a Swordfish? (GIVING BRAINLIEST) solve the system by substitution 2x-3y=20x=-2y+3 Decide how successful the authors argument about the AdvancedClean Cars Program is. Write a paragraph evaluating the soundness ofthe authors claims and the evidence used to support it. Cite at leasttwo details from the passage to support your response. Jane ran 72 miles in 6 days. Then she tripled her rate. How long would it take her to travel 648 miles at the new speed? Plz help. eathan ran 11 miles in 2 hours. what is the unit rate of miles to hours Please help!!!!! pls pls pls A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles aredrawn out of the bag, what is the probability, to the nearest 100oth, that bothmarbles drawn will be blue? PLZ HELP PLZ HELP PLZ HELP WILL GIVE BRAINLY In the same set of 1,000 integers from 1 to 1,000, an integer chosen at random on a single trial should be an integer from 1 to 25 about 25 out of every 1,000 trials, or one out of every 40 integers selected. The following integers from 1 to 25 appeared when a sample of 50 integers was taken from the list of the integers from 1 to 1,000: 12, 21, and 16. Is this sample of 50 trials more or less than what was expected for the population as a whole? A. Three numbers from 1 to 25 is higher than expected.B. Three numbers from 1 to 25 is lower than expected.C. The question cannot be answered with the information provided. In seeking diplomatic recognition from foreign powers during the War for Independence, the American government found it necessary toA) make large financial payments to the governments of France, Spain, and Holland.B) promise to cede large tracts of American territory to France upon a victorious conclusion of the war.C) demonstrate its financial stability and self-sufficiency.D) demonstrate a determination and potential to win independence.E) agree to grant France a specially favored trading status. Read the sentences from "Show Me Impossible.Illusionist- the word grabbed him. He whispered it quietly, forming the syllables with his lips.Then he said it out loud. "Illusionist." He loved the way it rolled off his tongue.What does the phrase the word grabbed him express to the reader?A. Daniel is confused by the word "Illusionist...B. Daniel thinks the word "ilusionist is humorous.C. Daniel is fascinated by the word "ilusionistiD. Daniel thinks the word illusionist" is surprising. I think he _________ the job.Question 1 options:will getwill to getwill gets PLS Find the perimeter: