Answer:
-5
Step-by-step explanation:
g(x)=x^2+4x-5
g(-4)=(-4)^2+4(-4)-5
g(-4)=(-4)(-4)+(-16)-5
g(-4)=16-16-5
g(-4)=0-5
g(-4)=-5
Answer:
The perimeter of the dog run will use 67.2 feet of fencing.
Step-by-step explanation:
First find how long the width is.
24 * 2/5 = 9.6
The width of the fence is 9.6 feet.
To find the total perimeter, add double the length and width.
24 * 2 = 48
9.6 * 2 = 19.2
48 + 19.2 = 67.2
Answer:
N = 17
Step-by-step explanation:
In a parallelogram the opposite angles are congruent, hence
4n - 2 = 2n + 32 ( subtract 2n from both sides )
2n - 2 = 32 ( add 2 to both sides )
2n = 34 ( divide both sides by 2 )
n = 17
The limit as a definite integral on the interval
on [2π , 4π] is
.
<h3>
What is meant by definite integral?</h3>
A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.
Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.
If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.
Let the equation be

substitute the values in the above equation, we get
=
on [2π, 4π],
simplifying the above equation

To learn more about definite integral refer to:
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The period of a sinusoid

is

, so any range such that

will give two complete periods.