What is the solution to 2 In x = 4 In 2?
x =
DONE

Answers

Answer 1
Answer:

Answer:

x =4

Step-by-step explanation:

2 ln x = 4 ln 2

Divide each side by 2

2/2 In x = 4/2 In 2

ln x = 2 ln 2

Remember that a ln b = ln b^a

ln x = ln 2^2

ln x = ln 4

We are taking the natural log on both sides so , what we are taking the natural log of must be the same

x =4

Answer 2
Answer:

Answer:

4

Step-by-step explanation:

Use the property of logarithms n\ln x = \ln x^n. (The number in front of ln becomes an exponent--or vice versa!)

Using that property on both sides, you get

ln(x^2) = ln(2^4)

But that means

x^2=4^2\nx^2=16\nx=4

Notice that x=-4 is not a solution because \ln(-4) is undefined. Negative numbers do not have logarithms.  The domain of \ln x is the set of positive numbers.


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Find the mean of 11,-7,-14,10,-5

Answers

The mean to your question is -1. What you do is: 1) add all numbers together. 2) divide the sum by the amount of numbers in the question which is 5. 3) you get -1 as your mean. Hope this helps!

Final answer:

The mean of the numbers 11,-7,-14,10,-5 is found by adding all the numbers together, and then dividing by the number of numbers. In this case, the mean is -1.

Explanation:

To find the mean of the numbers 11,-7,-14,10,-5, you'll want to add all of these numbers together then divide by the amount of numbers there are. This is because the mean is the average value of a set of numbers.

First, add up all your numbers: 11 + -7 + -14 + 10 + -5, which totals to -5. There are 5 numbers in the set, so to find the mean, you then divide -5 by 5, which equals -1. So, the mean of the set of numbers 11, -7, -14, 10, -5 is -1.

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What pattern will result from plotting all points x, y that satisfy an equation in the form ax+by=c

Answers

You only need to plot two points, because the pattern is a
straight line, and any two points on it define the entire line.

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Answer:

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Step-by-step explanation:

a person deposits $5000 in an account paying 2.5%, compounded semiannually. Find the amount in the account after 4.5 years

Answers

Answer:

$5,591.46

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+(r)/(n) )^(nt)

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 2.5% into a decimal:

2.5% -> (2.5)/(100) -> 0.025

Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:

A=5,000(1+(0.025)/(2))^(2(4.5))

A=5,591.46

The amount in the account after 4.5 years is $5,591.46

Final answer:

To find the amount in the account with compound interest, we use the compound interest formula. Substituting given values into the formula, we can calculate the final amount in the account after the specified time period.

Explanation:

The subject of this question is the calculation of compound interest. In this case, the person is investing $5000 at an interest rate of 2.5%, compounded semiannually, with the principle kept on deposit for 4.5 years.

The formula used to calculate compound interest is: A = P * (1 + r/n)^(nt), where:

  • A is the amount of money accumulated after n years, including interest.
  • P is the principal amount (the initial amount of money).
  • r is the annual interest rate (in decimal).
  • n is the number of times that interest is compounded per year.
  • t is the time the money is invested for in years.

Substituting the given values into the formula we get: A = 5000 * (1 + 0.025/2)^(2*4.5). Solving, you obtain the amount in the account after 4.5 years.

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Can anybody help me on this?

Answers

Answer:

48π square units

Step-by-step explanation:

The lateral surface area of a cylinder is = 2 π r h.

Where h = 6, r = 4 (from the figure)

Then the lateral surface area is: 2*6*4*π = 48π square units

the probability of winning a game is 20%. if you play 20 times, how many times should you except to win?

Answers

The answer is 4... 20% Of 20 is 4
(:

Wendy's brother drank 3/10 of the gallon of milk in the fridge. What percent of the milk did he drink?

Answers

a percent is part 100
3/10= 30/100
answer is 30%
(3)/(10)\cdot100\%=\n\n(300)/(10)\%=\n\n30\%\n\nWendy's\ brother\ drank\ 30\%\ of\ milk.