Ask question

Ask question

All categories

3 years ago

14

What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.

1 answer:

Stells [14]3 years ago

8 0

The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621

You might be interested in

8 1/3 - 4 3/4 I will reward brainlyest

nasty-shy [4]

Answer:

The answer is 3 7/12 Hope this helps :)

Step-by-step explanation:

3 0

2 years ago

Emily folded a paper circle into 2 equal parts. What is the angle measure of each part?

timama [110]

The diameter splits the circle into 2 equal halves by going through the midpoint of the circle. The two halves are called semicircles.

7 0

3 years ago

Hailey is a high school basketball player. In a particular game, she made some three point shots and some free throws (worth one

NISA [10]

Answer: the system of equations are

3x + y = 14

y = 4x

Step-by-step explanation:

Let x represent the number of three point shots that Hailey made.

Let y represent the number of free throws(worth one point each) that Hailey made.

Hailey made some three point shots and some free throws and

scored a total of 14 points. This would be expressed as

3x + y = 14

Hailey made 4 times as many free throws as three point shots. This would be expressed as

y = 4x

8 0

3 years ago

Read 2 more answers

Hoping to attract more shoppers, a city builds a new public parking garage downtown. The city plans to pay for the structure thr

posledela

Answer:

$MOE_{95} = 1.192\cdot MOE_{90}$

Step-by-step explanation:

The margin of error is computed using the formula:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical of <em>z</em> for 95% confidence level and 90% confidence level are:

$z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645$

*Use a <em>z</em>-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}$

$\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}$

6 0

2 years ago

What are the twonext numbers in this pattern? 3 ,6,12,24...

FrozenT [24]

Answer:

48 , 96

Step-by-step explanation:

You are doubling each number

4 0

2 years ago