Use natural logarithmics to solve the equation round to the nearest thousandth 3e^2x +5=26

Answers

Answer 1
Answer:

Answer:

x = 0.973

Step-by-step explanation:

3e^(2x) +5 = 26

3e^(2x) = 21 . . . . . subtract 5

e^(2x) = 7 . . . . . . . divide by 3

2x = ln(7) . . . . . . . .take the natural log

x = ln(7)/2 ≈ 0.973 . . . . divide by 2 and evaluate

Answer 2
Answer:

Answer:

x= .973

Step-by-step explanation:

3e^2x +5=26

Subtract 5 from each side

3e^2x +5-5=26-5

3e^2x =21

Divide by 3 on each side

3/3e^2x =21/3

e^2x =7

Take the natural log on both sides

ln (e^2x) =ln (7)

2x = ln (7)

Divide by 2

2x/2 = ln(7)/2

x = ln(7)/2

x is approximately .972955075

Rounding to the nearest thousandth

x = .973


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What appears to be the domain of the part of the exponential function graphed?A) 1 ≤ x ≤ 6
B) 1 ≤ ƒ(x) ≤ 6
C) –2 ≤ x ≤ 2
D) –2 ≤ ƒ(x) ≤ 2

Answers

Answer:

Option (C)

Step-by-step explanation:

Domain of a function is represented by the 'x' values on the graph.

Similarly, y-values of a function represents the range.

Therefore, options (B) and (D) will not be the answer as they are representing the function values or y-values.

Given segments starts form x = -2 and ends at x = 2 (Including these points).

Therefore, Domain of the segment will be [-2, 2] Or -2 ≤ x ≤2

Option (C) will be the correct option.

Answer:

B)  1 ≤ ƒ(x) ≤ 6

Step-by-step explanation:

this is the right answer I got it right on usa test prep

What is the value of a + 4b / a + b if a = -4, b = 3

Answers

Answer:- 8

Step-by-step explanation:

-4 + 4(3)/ -4+3

-4 +12 / -1

8/-1

What is x2 + 2x + 9 = 0

Answers

Answer:

x has no real solution

Step-by-step explanation:

Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :

  • Let Δ be the dicriminant
  • a=1
  • b=2
  • c=9
  • Δ= 2²-4*1*9 =4-36=-32
  • we notice that Δ≤0⇒x has no real solution

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 10 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent will enter into a relationship every month. What is the steady-state fraction of residents who are uninvolved

Answers

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

\begin{pmatrix} &U&M\nU&0.85&0.15\nM&0.10&0.90\end{pmatrix}

The steady state is that satisfies this product of matrixs:

[\pi] \cdot [P]=[\pi]

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\n0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)

Now we have to solve this equations

0.85\pi_U+0.10\pi_M=\pi_U\n\n0.15\pi_U+0.90\pi_M=\pi_M

We choose one of the equations and solve:

0.85\pi_U+0.10\pi_M=\pi_U\n\n\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\n\n\n\pi_M+\pi_U=1\n\n1.5\pi_U+\pi_U=1\n\n\pi_U=1/2.5=0.4 \n\n \pi_M=1.5\pi_U=1.5*0.4=0.6

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

Please help fast, thanks.

Answers

I believe it is m < 5 I could be wrong sorry.

A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

Answers

A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?
The area of the circle will be found as follows:
the fraction of the sector=15/360=1/24
the area of the circle will be:
area=(fraction of the circle)/(fraction of the sector)*(area of the sector)
=1/(1/24)
×11.9
=285.6 m²