log(x)-log(x+6)=log(k)

Find x if k=1/2

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Using the rules of logarithms

logx - logy = log ([tex]\frac{x}{y}[/tex] )

logx = logy , then x = y

Given

log(x) - log(x + 6)

= log([tex]\frac{x}{x+6}[/tex] )

Then

log )[tex]\frac{x}{x+6}[/tex] ) = log([tex]\frac{1}{2}[/tex] ) , thus

[tex]\frac{x}{x+6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 6 ( subtract x from both sides )

x = 6


Related Questions

can someone please help me with this question?? (no links!!!)

Answers

Answer:

960

Step-by-step explanation:

it says use 3 for pi, so you plug the values into given equation

V = 3·(4)²·20

r is 4 because it is half of 8.

Then multiply

3·16·20 = 48·20 = 960

Answer:

960 cm

Step-by-step explanation:

8/2 = 4 (radius)

3 (since we're using 3 for pi) * 4^2 * 20

3 * 16 * 20

48 * 20

= 960 cm

I hope this helps heh :)

how do u turn 3 into a fraction?

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.

every whole number is equal to that number over 1, so three as a fraction would be 3/1 since three divided by one is still three.
so the answer is 3/1

Describe this sampling method: "Survey the first 40 students who enter the main

office".

Answers

Answer:

Convenience sampling

Step-by-step explanation:

From the question, we understand that 40 of all students are to be surveyed. This implies that from the 41st till the last student will not be a part of the survey.

When sampling is done, taking a part of the whole population that is near or readily available; such sampling is referred to as convenience sampling.

The whole population, in this case are all students while the convenience being selected are the first 40 students.

Laney bought some candy from the bulk food store. She bought a 290 gram bag of gummy worms, a 450 gram bag of sour keys, and 670 gram bag of chocolate covered almonds. What is the total weight in kilograms?

Answers

Answer:

1.41 kilograms

Step-by-step explanation:

Given data

290-gram bag of gummy worms

450-gram bag of sour keys

670-gram bag of chocolate-covered almonds

In all, she bought

=290+450+670

=1410grams of candy

Now let us convert from grams to kilograms

1000grams is equal to 1 kilogram

hence 1410 grams  will be x

cross multiply

1000x= 1410

x= 1410/1000

x= 1.41 kilograms

how do i get all my points and brainlest back

Answers

.....um...i think u can't do this

Answer:

u should probably contact support or the creator of this site

Step-by-step explanation:

A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the horse run in all

Answers

Answer:

5670 yards

Step-by-step explanation:

Length of first race = 2 miles

Since, 1 mile = 1760 yards

Therefore, 2 miles = 1760 × 2

                               = 3520 yards

Length of second race = 1300 yards

Length of third race = 850 yards

Total distance to be run by the horse = 3520 + 1300 + 850

                                                              = 5670 yards

Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.

Answers

What is his average amount of money that he earns per day so then we can solve this problem.

4(8x - 3) - 6 = 5 + 2x

WHATS THE SOLUTION???

Answers

Answer:

x = 23/30

Step-by-step explanation:

4(8x - 3) - 6 = 5 + 2x

32x - 12 - 6 = 5 + 2x

32x - 18 = 5 + 2x

32x - 2x = 5 + 18

30x = 23

x = 23/30

Answer:

30x=14

Step by Step Explanation:

32x-9=5+2x

32x-2x=30x

30x-9=5

5+9 is 14

30x=14

Is (2, 3) a solution to the equation y = x - 1?
yes or no
and pls explain for i can lead this already

Answers

Answer: No

Step-by-step explanation: Because if you substitute the 2 for x and 3 for y it is not equal

Original Price Percent of Discount Sale Price
$112 32%

Answers

Answer:

32 percent of 112 is 35.84. 112 -35.84=76.16

Step-by-step explanation:

Brainliest?

Answer:

35.84

Step-by-step explanation:

I used a online calculator

Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 percent. What is Diddy's cost of equity?

Answers

Answer: 16.2%

Step-by-step explanation:

You can find the cost of equity using the Capital Asset Pricing Model (CAPM).

Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)

= 6% + 1.2 * (14.50 - 6%)

= 6% + 10.2%

= 16.2%

What type of correlation the
scatter plot shows?

Answers

Answer:

I would need to see the attached lesson to answer this question.

PLEASE HELP WITH THIS QUESTION!!
NO LINKS PLEASE

Answers

Answer:

Step-by-step explanation:

g(x)=[x-4]                     h(x)= [x] -5

                                     h= -5

g=[x-4]

x     x

g=4                      

Helpppppp! No links please, thank you!

Answers

32, 60, 68

Hope this helps

What is the median of the data set? {5, 3, 4, 2, 6} Enter your answer in the box. Round to the nearest tenth.

The best answer will receive brainiest.

Answers

Answer:

4

Step-by-step explanation:

To find median, arrange the data set in ascending order. Then the middle term is the median

2 , 3 , 4 , 5 , 6

Median = 3rd term  = 4

Answer:

4 is the median

Step-by-step explanation:

From least to greatest:

2,3,4,5,6

Since the total values is odd, the middle number is the median

4 is the median

Find the value of x that makes the equation true:

2x = 24

x = 6
x = 4
x = 9
x = 12

Answers

Answer:

x = 12 the correct answer

Plz help will mark brainliest if right

Answers

Answer:

Domain:{-9,-4}

Range:{-1,-8,6}

Step-by-step explanation:

I dont really understand what you're trying to ask, it seems like you already have the answer i got.

which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair?

Answers

A line is one dimensional straight indefinite path on plane that has no width. A plane is a two-dimensional flat surface that extends upto infinity. So, the undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) is A point.

Please help me it’s due today

Answers

The answer should be 15 times 9 equals four

Please help me with 7,8,9,10,11,12

Answers

Answer:

7. 9

8. 6.7

9. 12.2

10. 7.6

11. 7.3

12. 6.3

Step-by-step explanation:

7. 8^2+4^2=x^2

64+16=x^2

80=x^2

√80=√x^2

8.9=x

Round up

9=x

8. 6^2+3^2=x^2

36+9=x^2

45=x^2

√45=√x^2

6.7=x

9. 7^2+10^2=x^2

49+100=x^2

149=x^2

√149=√x^2

12.2=x

10. 3^2+7^2=x^2

9+49=x^2

58=x^2

√58=√x^2

7.6=x

11. 7^2+2^2=x^2

49+4=x^2

53=x^2

√53=√x^2

7.28=x

Round up

7.3=x

12. 6^2+2^2=x^2

36+4=x^2

40=x^2

√40=√x^2

6.3=x

Hope this helps

Answer:

7) X = a^2 + b^2 = c^2

X = (4^2) + (8^2) = c^2

X = 80^2 = c^2

X = √80 = 8.944

X = 8.9 = c^2

8) X = a^2 + b^2 = c^2

X = (6^2) + (3^2) = c^2

X = 45^2 = c^2

X = √45 = 6.708

X = 6.7 = c^2

9) X = a^2 + b^2 = c^2

X = (7^2) + (10^2) = c^2

X = 149^2 = c^2

X = √149 = 12.206

X = 12.2 = c^2

10) X = a^2 + b^2 = c^2

X = (3^2) + (7^2) = c^2

X = 58^2 = c^2

X = √58 = 7.615

X = 7.6 = c^2

11) X = a^2 + b^2 = c^2

X = (7^2) + (2^2) = c^2

X = 53^2 = c^2

X = √53 = 7.280

X = 7.3 = c^2

12) X = a^2 + b^2 = c^2

X = (2^2) + (6^2) = c^2

X = 40^2 = c^2

X = √40 = 6.324

X = 6.3 = c^2

Step-by-step explanation:

X = a^2 + b^2 = c^2

X and c^2 = missing side

a^2 and b^2 = the two legs of the triangle (the mesurments of the sides that are given)

c^2 = hipatanouse

The formula is called Pythagromtherom (a^2 + b^2 = c^2)

Help me with this please

Answers

Answer:

x = 138

Step-by-step explanation:

Exterior angle thm:

68 + 70 = x

x = 138

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM. I HAVE TO SOLVE FOR A AND B

Answers

Answer:

b is 10 degrees and a is 64 degrees.

Step-by-step explanation:

Properties of a parallelogram needed for this problem: Opposite angles are congruent and adjacent angles are supplementary, meaning they add to 180 degrees.

This means that in the picture, 2a and 12b+8 are equal, while 2a and 5b+2 are supplementary.

From this we can make two equations:

2a=12b+8

and

2a+5b+2=180

If we subtract 5b+2 in the second equation, both equations will equal 2a. I'll explain why that's good. We end up with:

2a=12b+8

and

2a=180-5b-2

Now, we can set the two equations equal to each other because they both equal the same thing. Then simplify.

12b+8=180-5b-2

17b=170

b=10

Knowing b is 10 degrees, we can easily plug that back into one of our original two equations. I'll choose 2a=12b+8.

2a=12(10)+8

2a=120+8

2a=128

a=64

b is 10 degrees and a is 64 degrees.

What are the values of x that would make the line j parallel to line k? Help me please!

Answers

Answer:

For line j to be parallel to line k, then x has to be equal to 0

Step-by-step explanation:

if line j is parallel to line k, then the two angles are equal.

They are equal because they would be alternate angles and alternate angles are equal in value

Thus,

3x + 10 = 5x + 10

5x-3x = 10-10

2x = 0

x = 0

What ordered pair represents the y-intercept for the function y=2^x

Answers

Answer:

(0, 1)

Step-by-step explanation:

[tex]y = {2}^{x} \\ \\ plug \: x = 0 \\ \\ y = {2}^{0} \\ \\ y = 1 \\ \\ (x, \: \: y) = (0, \: \: 1)[/tex]

encontre as raízes quadradas dos números:
a)²√625​

Answers

25

porque al multiplicar 25×25 nos da 625

Answer:

25

Step-by-step explanation:

25x25=625

Neutering dogs is a common surgical practice. The mean time to recover from the general anesthetic used is 26 hours. A veterinarian believes that since changing to a new anesthetic, the mean recovery time is shorter than before. From a random sample of 40 surgeries with the new anesthetic, she finds the mean recovery time was 25 hours with a standard deviation of 2.5 hours. What is the p-value for her hypothesis test

Answers

Answer:

0.005719

Step-by-step explanation:

H0 : μ = 26

H1 : μ < 26

Given that:

Population mean, μ = 26

Sample mean, xbar = 25

Sample standard deviation, s = 2.5

Sample size, n = 40

The test statistic :

(xbar - μ) / s/sqrt(n)

Test statistic :

(25 - 26) / 2.5/sqrt(40)

-1 / 0.3952847

Test statistic = - 2.5298

Using a Pvalue calculator from Z test statistic:

Pvalue = 0.005719

Someone help me with this its in the picture!!!

Answers

Answer:

JK < KI < IJ

Step-by-step explanation:

The length of the side of a rectangle corresponds with the size of the angle opposite it.

m<K = 180 - (50 + 44) (sum of triangle)

m<K = 86°

IJ is opposite m<K = 86°

JK is opposite to m<1 = 44°

KI is opposite to m<J = 50°

The bigger the measure of an angle, the larger the side opposite it.

Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:

JK < KI < IJ

Write the difference of 8 and 2 times m

Answers

Answer:

Your answer would be A

Step-by-step explanation:

HELPP ME




About what percent of Australia's total medals were gold?
A. 5%
B. 2%
C. 50%
D. 20%

Answers

Answer:

20%

Of Australia's total percent were gold!

Find the measure of C to the nearest tenth of a degree

Answers

81.2 mostly likely will me the answer
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