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3 years ago

7(2e-1)-3=6+6e solve for e. e=?

Mathematics

1 answer:

Pepsi [2]3 years ago

4 0

$7(2e-1)-3=6+6e\\\\14e-7-3=6+6e\\\\14e-10=6+6e\ \ \ \ |+10\\\\14e=16+6e\ \ \ \ |-6e\\\\8e=16\ \ \ \ |:8\\\\\boxed{e=2}$

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1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

3 years ago

Which greatest value 1.83 or 2.22 or 2.01

yanalaym [24]

2.22 is the greatest value

6 0

3 years ago

Read 2 more answers

If A is directly proportional to C and B is directly proportional to C, prove that each of the following is directly proportiona

Yuliya22 [10]

Answer:

A+B is correct answer I hope it helps you

7 0

3 years ago

I need help!!

Natasha2012 [34]

Answer:

The exact solution is

$x = \frac{Ln(60)}{7*Ln(5)}$

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

$5^{7*x} = 60\\$

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

$Ln(5^{7*x}) = Ln(60)$

Then we get:

$7*x*Ln(5) = Ln(60)$

Solving that for x we get:

$x = \frac{Ln(60)}{7*Ln(5)} = 0.363$

So the exact solution is:

$x = \frac{Ln(60)}{7*Ln(5)}$

And the approximation to three decimal places is:

x = 0.363

7 0

3 years ago

If the measure of angle ACB is 65 degrees, find the measure of angle BCD

jolli1 [7]

Answer:

the answer is 25

Step-by-step explanation:

you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

6 0

4 years ago