Answer:
Substitute the value of the variable into the equation and simplify.
48
Step-by-step explanation:
The number of marbles is greater than or equal to 12.
The inequality would be:
8n-10≥6n+14
We need to gather all of the variables on one side, so we will subtract 6n from both sides:
8n-10-6n≥6n+14-6n
2n-10≥14
Now we will cancel the 10 by adding it:
2n-10+10≥14+10
2n≥24
Divide both sides by 2:
2n/2 ≥ 24/2
n≥12
Start with trying to figure out rate (r):
P = i•e^rt
5200 = 4000•e^(r•7)
5200/4000 = 1.3 = e^7r
ln 1.3 = ln (e^7r)
.262 = 7r•1, because the ln (e) = 1
r = .262/7 = .0375
Now that you have the rate, plug in that for r and 9 hours as the new t, with again our 4200 as the i
P = i•e^rt = 4200•e^(.0375•9)
P = 4200•1.401 = 5,886 bacteria
In a rational function, holes are located where f(x) is undefined(the denominator is 0), but the undefined points can be factored out. In f(x), when x is 4 or -3, f(x) is undefined. But, x+3 can be factored out, so it is a hole. The hole is located at (-3,-1/7)
The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.
<u>Step-by-step explanation:</u>
A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.
The triangle has 3 interior angles of 60 degrees
The square has 4 interior angles of 90 degrees.
The pentagon has 5 interior angles of 108 degrees .
The formula for the interior angle of a regular polygon is given by,
(
n
−
2
)
180 / n
where n refers to the number of sides.
Triangle : (3 - 2) 180 / 3 = 60 degree.
Square : (4 - 2) 180 / 4 = 90 degree.
Pentagon: (5 - 2) 180 / 5 = 108 degree.
