Hello,
132=2²*3*11
132
=1*132
=2*66
=3*44
=4*33
=6*22
=11*12
Area(A)=192ft^2
Width (W)=?
Length (L)=3W
First we must find what the width and length are to find perimeter (P=2L+2W).
A=LxW
192=(3W)(W)
192=3W^2
192/3=3W^2/3
64=W^2
8=W can only use positive solution of 8 because distance is positive.
L=3W=3(8)=24
P=2L + 2W
P=2 (24)+2 (8)
P=48+16=64ft
Answer:
$60
Step-by-step explanation:
John's Money = $2000
Annual Interest Rate = 6%
Total amount John should
receive after a year = 2000x(1+0.06)
= 2120
Total interest amount in a year = 2120 - 2000
= $120
Total interest amount in a per month = 120/12 = $10
Total interest amount in 6 months = 10 x 6 = $60
Answer:
Domain: All Real numbers
CoDomain : All Real numbers
Range: ; that is: Real numbers larger than or equal to zero
Step-by-step explanation:
Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output. Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.
The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity
But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.
Answer:
∫(x+25x)dx=13x²
Step-by-step explanation:
From Exercise, we want calculate integral for x + 25 x dx.
But this not required a substitution to express the integrand as a rational function. We can calculte integral, and we get
∫(x+25x)dx= ∫x dx+25∫x dx=x²/2+ \frac{25}{2} · x^2=\frac{26}{2}·x^2=13x²
Therefore, we get that is
∫(x+25x)dx=13x².