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Alborosie
3 years ago
11

What is the solution to the equation? round your answer to two decimal places. 6•e^x=25​

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Given

6e^{x} = 25 ( divide both sides by 6 )

e^{x} = \frac{25}{6}

Take the ln of both sides

lne^{x} = ln (\frac{25}{6}) , hence

x lne = ln (\frac{25}{6}) ← note ln e = 1

x = ln (\frac{25}{6}) ≈ 1.43 → A

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Which expressions are equivelant ti the one below? 16^x/4^x
Jlenok [28]

Answer:

4^{x}

Step-by-step explanation:

\frac{16^x}{4^x}   Divide the fraction. Since both have an exponent of x, the answer has an exponent of x.

4^{x}

If this answer is correct, please make me Brainliest!

4 0
3 years ago
Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t
WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.  

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}

Seperate the differential equation and solve for the constant C.

\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2}  }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}

You have 100 rodents when:

100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months

You have 1000 rodents when:

1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months

7 0
3 years ago
What is the function?
Bezzdna [24]

Answer:

you can do it , you can solve it , if you will not learn no job no money so need to study :))

Step-by-step explanation:

hope it helps ;)))

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3 years ago
What is the slope of the line that passes through (8,5), (-7,20)?
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-1, because the equation for the slope is y2-y1/x2-x1. So let's bring the y value in the second set of point, which is 20, and bring the first y value in the first set of points, which is 5. 20-5 is 15. Now let's subtract the x values. So the second x from the second parentheses x value is -7, and the first x value from the first parentheses is 8. -7-8 is -15. Now we have this division equation, 15/-15, which is -1. So therefore, the slope of the line will be -1.
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3 years ago
Which algebraic expression represents the phrase: Five more than the product 6 times the number of f flowers?
Nataliya [291]
C: 5+ 6 + f

Explanation
7 0
3 years ago
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