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3 years ago

What is the value of ln e^4

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

$\large\boxed{\ln e^4=4}$

Step-by-step explanation:

$Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4$

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What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

sveta [45]

Answer:

Step-by-step explanation:

4-9= -5

2-3 = -1

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3 years ago

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almond37 [142]

Answer:

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3 years ago

Five ninths times the difference of f and 32

Viktor [21]

If we put that into an equation, we get
(5/9)(f/32)
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4 years ago

The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at

Anna007 [38]

<h3>Answer: Choice B is correct</h3>

========================================================

Explanation:

Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.

The x intercept is the same as the root or zero of a function.

You should find that only choice B has a root thats larger than 4. That specific root being x = 7.

----------------------------

A non-graphing approach:

You can use the quadratic formula or the factoring method to find the roots.

For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.

On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.

Here are the steps for the quadratic formula for choice B

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\$

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.

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3 years ago

What Is the equation of the trend line

notsponge [240]

My answer is in the following picture, hopes it can help you ~

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