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Anettt [7]
3 years ago
14

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

Mathematics
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
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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
alex41 [277]

Answer:

sample size if he uses a previous estimate of 32​% is 523

sample size if he does not use any prior​ estimates is 601

Step-by-step explanation:

estimate E = 4 percentage = 0.04

confidence Cl = 95% = 0.95

previous estimate p = 32% = 0.32

q = 1 - 0.32 = 0.68

to find out

size of sample

solution

first we calculate z value for 95% confidence E = 0.04 is 1.96

from probability P(-1.96 < z < 1.96) = 0.95)

here z = 1.96

so in 1st part size of sample we know

E = z × \sqrt{pq/n}

put all value E, z p and q and we get n

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.32×0.68

n = 523

sample size if he uses a previous estimate of 32​% is 523

now in 2nd part we take p = 0.5

so n will be

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.5×0.5

n = 601

sample size if he does not use any prior​ estimates is 601

6 0
3 years ago
May someone see if I got this Math problem correct, Thank you.
TEA [102]
I think you are right !!!!! I am also little bit confused!
5 0
3 years ago
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn fr
sesenic [268]

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

3 0
3 years ago
Find each product. <br> (x - 6)(x + 2)
emmainna [20.7K]

Answer:

x^2-4x-12

Step-by-step explanation:

(x-6)(x+2)=x^2-6x+2x-12=x^2-4x-12

6 0
3 years ago
Read 2 more answers
A polynomial is to be constructed that will touch the x axis at most 8 times. What is the minimum degree of the polynomial?
Harman [31]
The maximum number of roots to a polynomial of order n is n roots. Take the example of a quadratic (order 2) which can intersect the x-axis a maximum of 2 times, and similarly a cubic (order 3) 3 times maximum.

Hence for 8 intersections, minimum order = 8
7 0
2 years ago
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