<span>one billion twenty-four million</span>
6 · e^(4x - 2) = 3
e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
4x = ln (.5) + 2
x = (ln (.5) + 2)/4
x = 0.3267
x ≈ 0.327
Answer: B
Answer:
29
Step-by-step explanation:
In this question we are trying to calculate the cost of exact amount of fabric used given the cost per area of the fabric.
To answer this question mathematically, we need to know the area of the bulletin board. To do this , we employ a mathematical approach. We know that the bulletin board is circular in shape from the question and thus we calculate the area of this shape.
Mathematically, the area of the circular bulletin board is pi * r^2 where r refers to the radius. From the question, we can identify that this radius is 2.5 feet. let’s insert this into the equation we have.
mathematically A = 2.5^2 * pi = 19.63 sq. feet
The cost of the fabric per square feet is 1.48.
now the cost for this area that we have will be 1.48 * 19.63 = 29.0524
This is nearest to 29
Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is: 
- The sum of half of x and 5 is: 
So, the equation to write in this problem is
We solve it as follows:
1) First, we subtract 
from both sides, and we get
2) Then, we subtract 12 from both sides:
3) Now we multiply both sides by 2:
So, this is the solution.
The triangle that is formed by AMB is a 45 45 90 triangle, so meaning the legs are equal. so in can be concluded that AD = MD, since M is the midpoint of CD, then CD = 2AD
CD = 2(6) = 12 cm
so the perimeter is of the rectangle ABCD is
P = 2l + 2w
P = 2(6) + 2(12)
P = 12 + 24
P = 26 cm
