If 5ex = 300, x = A) ln (300) = 5.703 . . . B) 5 ln (60) = 20.471 . . . C) ln (300)∕5 = 1.140 . . . D) ln (60) = 4.094 . . .

Mathematics

1 answer:

tino4ka555 [31]4 years ago

5 0

Answer:

D) ln (60) = 4.094...

Step-by-step explanation:

Let's solve for x

We'll be careful because it's exponential.

5ex = 300

ex= 300/5

ex= 60

x = e^-1(60)

Let's note that this expression e^-1 is equal to In

x= In (60)

x = 4.0943

So the value of x is equal to 4.0943

Thank you.

You might be interested in

Help plz! Evaluate the following definite integral:<img src="https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_%7B-a%7D%20%7B%28a%5E%7

s344n2d4d5 [400]

Just use the power rule:

$\displaystyle\int_{t=-a}^{t=a}(a^2-t^2)\,\mathrm dt=a^2t-\dfrac13t^3\bigg|_{t=-a}^{t=a}$

We also could have use the fact that the integrand is even to write

$\displaystyle\int_{t=-a}^{t=a}(a^2-t^2)\,\mathrm dt=2\int_{t=0}^{t=a}(a^2-t^2)\,\mathrm dt=2\left(a^2t-\dfrac13t^3\bigg|_{t=0}^{t=a}\right)$

I'll continue with this expression since it's easier to evaluate (if only a little):

$2a^3-\dfrac23a^3=\dfrac43a^3$

7 0

3 years ago

How to find the missing angle of a triangle using trigonometry

Arte-miy333 [17]

Answer:

By using the SOH CAH TOA rule

Step-by-step explanation:

By using this rule you can find the missing length or an angle if 2 parts out of 3 are given in the question, if the Opposite and Hypotenuse are given you use Sine to figure out the angle, and etc for all of the other ones. More information can be found online! Hope this helps!

5 0

2 years ago

True or false, If false what would be the correct term to use?

Luda [366]

Answer:

In a proportion, the cross products of the extremes equal the cross product of the means.

Step-by-step explanation:

True

4 0

3 years ago

What is the value of −4(−0.3)1/2?

Alinara [238K]