What is the true solution to 2 In x=2 in 8

Answers

Answer 1

Answer:

x=2 is the true solution.

Step-by-step explanation:

We have been given the expression:

2\ln 4x=2\ln 8

Using:

n\ln m=\ln m^n

Our given expression becomes:

\ln{4x}^2=\ln{8^2}

Cancel ln from both sides we get:

4x^2=8^2

On simplification we get:

16x^2=64

x^2=4

Final simplification gives the result:

x=2

Answer 2

Answer:

x = 8

Step-by-step explanation:

2 In x=2 ln 8

Divide by 2

ln x = ln 8

Raise to the e base

e^ ln x = e^ ln 8

x = 8


Related Questions

The scatterplot that represents the monthly values of stock ABC can be


approximated by a line with a positive slope. What type of correlation does


this represent?


O


A. Negative correlation


O


B. No correlation


O


c. Positive correlation

Answers

Answer: A. Negative correlation

Step-by-step explanation:

A P E X

The scatterplot that represents the monthly values of stock ABC can be approximated by a line with a positive slope represents positive correlation. The correct option is C.

What is correlation?

The relationship between variables is described by correlation. It can be either strong or weak, as well as positive or negative.

Correlations show that there is a relationship between two variables, but one does not always cause the other to change.

A positive correlation indicates that as one variable increases, so does the other.

In this case, the scatterplot of the monthly values of stock ABC can be approximated by a line with a positive slope, indicating that as the stock's value increases over time, so does the corresponding month. As a result, it is a positive correlation.

Thus, the correct option is C.

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What's the probability of rolling a prime number on a fair die

Answers

Answer:

50% chance

Step-by-step explanation:

if it's a six-sided die, the options are 2, 3, and 5. that's three numbers out of six, or half (50%)

Answer:

1/2 ; 50%

Step-by-step explanation:

Probability is number of desired outcomes/number of total outcomes.

In a fair die, there are 6 total outcomes.

Now, let's find how many desired outcomes there are.

We can do this by naming the prime numbers form 1-6.

Prime numbers are numbers that are divisible by 2 positive integers: 1 and itself.

This means that 1, 4, and 6 are not prime numbers.

The prime numbers are: 2, 3, and 5.

So there are 3 desired outcomes.

That means the probability would be 3/6

This can be simplified to 1/2, or 50%

Ellie’s eats 1/4 cups of raisins everyday. If she buys a package that has 6 cups of raisins,how many days of raisins is that ?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 days

Step-by-step explanation:

Alright, so you can set an equation where x is the amount of days this package of raisins can last. Your equation would be 6=1/4x. Now, you solve. Bring the 1/4 over by dividing both sides by it. You get x=24, which is the answer.

What is the probability of rolling an even an a die and drawing a face card from a standard deck of cards

Answers

Answer:

3/26

Step-by-step explanation:

Assuming this is a six-sided die, the probability of rolling an even number is 3/6 or 1/2. Then the probability of drawing a face card is 12/52 or 3/13. To find the probability of both you need to multiply them by one another an you get 3/26 or 11.5 percent.


A square has one of its sides increased by 7 inches and the other side decreased by 4 inches. Which of the following represents the area of the square?

Answers

Answer:

Step-by-step explanation:

both the length and the width of a square is the same measurement.

so if both measured to "x" then that means one side increase +7.

so one side is x + 7

and the other side decreased -4

so the other side is x - 4

area of square = length x width or just one of the sides to the power of 2

so (x+7) * (x-4) = Area

x^2 + 3x - 21 = area

Answer:

x^2-11x+24

Step-by-step explanation:

The area of a quad is lw

So, the formula would be (x-7)(x-4)

When you multiply it, it turns to be x^2 - 11x + 24

I think thats the answer

there are no choices so the answer might be in the wrong form

X = ________ ft. (No guessing please)

Answers

Answer:

x=12

Step-by-step explanation:

12(x+8)= 8(30)

Distribute

12x+ 96= 240

Subtract 96 on both sides

12x= 144

Divide 12 on both sides

x=12

The answer would be x=12 :)

What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)

Answers

Answer:

0.6-4.3s-2.6

Step-by-step explanation:

Answer:

-4.3s + 0.6t - 2.6

Step-by-step explanation:

What is 19 percent of 50​

Answers

Answer:

What is 19 percent (calculated percentage %) of number 50? Answer: 9.5.

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

19% of 50

Convert the percentage to a decimal.

19% = 0.19

Multiply the decimal by the number.

50 × 0.19 = 9.5

9.5 is the answer.

what's equation of the best fit for the graph ​

Answers

Answer:

y=2x+1

Step-by-step explanation:

sketch it with each line answer choice and look at which one is closest to all the points.

the sum of 17 and 3 times x

Answers

Answer:

C

Step-by-step explanation:

3 times x -> 3x

The sum of 17 and 3x -> 17+3x

Answer:

C.

17+3 times x

17+3x

when the x is next to  the 3 it means multiply

Step-by-step explanation:

find the volume, help please all numbers are in inches, will mark brainleist ​

Answers

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

From the numbers 1, 2, 3, 4, 5, what is the probability of choosing an even number at random?

Answers

Answer:

2/5

Step-by-step explanation:

There are only 2 even number in the set out of 5 numbers.

The probability of selection even number at random is 2/5.

What is probability?

Probability is possibility that deals with "occurrence of random event at a time".

According to the question,

From the numbers 1,2,3,4,5

Number of sample space = 5

Number of even numbers = 2

Probability of an event = [tex]\frac{sum of favorable events}{Total number of events}[/tex]

In order to find probability of selection even number at random:

=2/5.

Hence, the probability of selection even number at random is 2/5.

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3. A boat is travelling from Point C toward Point D, which is on the shoreline.
The shoreline is represented by the line through Point A and Point B.
Determine whether the path from C to D is perpendicular to the shoreline. A to B.
Justify your answer
A(0,7) B(8,-5) C(-3,-8) D(6,-2)

Answers

Answer:

Yes, lines CD & AB are perpendicular

Step-by-step explanation:

AB slope: y = -12/8x + 7

CD slope: y = 6/9x - 6

Once the slopes are simplified:

AB: -3/2

CD: 2/3

Hope this helps!

Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°
O They are alternate interior angles. Angle A
measures 125°
O They are vertical angles. Angle A measures 125º.
They are corresponding angles. Angle A measures
55°

Answers

Answer:

A. They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

Got it right on Egd.

Option A.) is correct. They are same side interior angles. Angle A measures 55°.

What is angle?

The angle can be defined as the one line inclined over other line.

questions seem to be in incomplete, Although question could be
what would be sum of the interior angles of a quadrilateral.
The sum of the interior angle = 180
A = 180-125
A = 55°

Thus, the required  Angle A measures is 55°.

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The results of a survey indicate that the true proportion of households who recycle paper products
is likely in the interval (0.61,0.7).
What is the point estimate of the proportion of households who recycle paper?
Enter your answer, as a decimal, in the box.​

Answers

Answer:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Step-by-step explanation:

For this case we know that the confidence interval for the proportion of interest is given by:

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

And for this case the confidence interval is given:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Answer:

this answer is correct because i just took the test

Step-by-step explanation:

Find the 12th term of the geometric sequence 2, -4, 8,

Answers

Answer:

-4096

Step-by-step explanation:

Pattern: *-2

2, -4, 8, -16, 32, -64, 128, -256, 512, -1024, 2048, -4096

Answer:

-4096

Step-by-step explanation:

A dinner plate has a diameter of 12 centimeters. What is the approximate area? 37.68 cm (ik how to do it i just dont know whether to make it cm3 or cm2)

Answers

i’m thinking it’s cm2

Please need help asap!!Consider the following figure.

Answers

Answer:

h = 7

Step-by-step explanation:

i think h=7 i has the same answer

billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?

Answers

Answer:

Y-8

Step-by-step explanation:

Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10

Answers

Answer:

x + 2y = 10 = x + y = 5

Step-by-step explanation:

x + 2y = 10

divide 2 by 10

x + y = 5

This is all I really know how to do sorry  

One circle has a circumference of 12cm. Another circle has a circumference of 32cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle? 3:8 8:3 1:3 3:1

Answers

Answer: did u get the answer for this

Step-by-step explanation:

Which is the graph of the function f(x) = x2 + 2x + 3?
5
1+
to 4 3 2 1
2 3
4 5 x
-2
-3
3
2

Answers

Answer:

1. C

2. UNKNOWN

3. (x-4)(x-2)

4. 5, -7

5. vertex=(3,4)

   minimum value=4

6. UNKNOWN

7. 5/3

8. D

9. C

Step-by-step explanation:

Jackson bought six pairs of socks for $5 each. The tax on the purchase was 6%. What was the total cost of his purchase?

Answers

Answer:

Step-by-step explanation:

First you multiply 5x6= 30

30x.06= 1.8

30+ 1.8 =31.8

Answer:

31.8

step-by-step explanation:

5*6+6%=31.8

Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +

Answers

Answer:

The result is 2 > 1. Hence, the series diverges

Step-by-step explanation:

You have the following series:

[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex]   (1)

You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:

[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)

Then, you replace the series (1) in (2):

[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]

In the ratio test you have that if the limit is greater than 1, the series diverges.

The result is 2 > 1. Hence, the series diverges.

Help solve for X, please hurry I have 42 minutes

Answers

Answer:

A) 9

Step-by-step explanation:

First you need to find the measure of angle c

Since it's a quadrilateral, the interior angles add up to 360 degrees

Now there's two right angles and one 99 degree angle

Add those and subtract from 360

360 - (90+90+99) = 81

C = 81 degrees

However x is the root of c so root 81 is 9

the town libary is raising money by selling old books for 4$ each write an equation that can be used to find the amount of money raised if the number of books sold is known.Let x represent the number of books sold and y represent the amount raised.

Answers

Answer:

6550

Step-by-step explanation:

You can put this solution on YOUR website!

Call the number of hardcover and paperback books, h and p.

Thus  

h + p = 8 and the value equation is

4h + 2p = 26

Now multiply the top one by four and subtract from the second one...we get

4h + 2p = 26

-(4h + 4p = 32)

----------------

-2p = -6

p = 3 so that

h = 5   x +  y = 8,    (1)

4x + 2y = 26,   (2)

where x and y are the numbers of hardcover and softcover books respectively.

To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get

4x - 2x = 26 - 16,   or

2x = 10,   or   x = 5 - the number of hardcover books purchased.

Then from the equation (1) you get y = 3.

Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.

find the volume of a cylinder with a radius of 8. and the height as 11​

Answers

Answer:

V = 2210.56

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi (8)^2 11

V = pi 704

Letting pi = 3.14

V = 2210.56

math question screenshot down below

Answers

(4+3)x6
Or
6x4 + 6x3
Hopefully one of these will work!!!

g(1) = -5
g(2) = 3
g(n) = g(n-2) + g(n-1)
g(3)

Answers

Answer:

g(3) = -2

Step-by-step explanation:

if u know volume plz help
thx

Answers

Answer:

225 cm^3

Step-by-step explanation:

L = length

W = width

H = height

Equation: LWH + LWH

= (15)(3)(3) + (10)(3)(3)

= 135 + 90

= 225

Answer:

225

Step-by-step explanation:

Brake the T into 2 rectanglesso now you have a rectangle of 15L, 3W, and 3H, and a rectangle that is 10L, 3W, and 3H. now multiply 15,3, and 3 together, then you get 135. When you times 10,3, and 3 together, you get 90. Now, add together 135 and 90 and get 225.

Hope that was helpful, and PLEASE mark me most brainly!!

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