Answer: 30%
Step-by-step explanation:
Firstly, we find 22% of $3680. This will be:
= 22% × $3680
= 0.22 × $3680
= $809.60
Therefore, his take home pay will be:
= $3680 - $809.60
= $2870.40
We are further told that last month he spent $775 for rent and 86.12 on clothing. The amount combined will be:
= $775 + $86.12
= $861.12
The percent of his take-home pay did he spend on rent and clothing combined will be:
= 861.12 / 2870. 40 × 100
= 30%
8y - 16 = 5x
8y = 5x + 16
y = 5/8 x + 2 , this line has slope = 5/8
Perpendicular lines, slope is opposite and reciprocal so slope of the line that is perpendicular to 8y - 16 = 5x is -8/5
Passing through (5, -5)
y = mx + b
b = y - mx
b = -5 - (-8/5)(5)
b = -5 + 8
b = 3
Equation
y = -8/5 x + 3
Answer
A. y = -8/5 x + 3
We know that
<span>the edge of the cube is equal to the diameter of cylinder
diameter=3 in
radius cylinder=3/2 in
volume of a cylinder=pi*r</span>²*h
r=1.5 in
h is the edge of the cube-----> h=3 in
so
volume of a cylinder=pi*(3/2)²*3-----> pi*(9/4)*3----> (27/4)*pi in³----> 21.21 in³
the answer is
the volume of the cylinder is (27/4)*pi in³ or 21.21 in³
Answer:
See proof below
Step-by-step explanation:
The inductive proof consists on the following steps:
1) Base case: for n=0, we will prove that Γ(1)=0!=1. We have that
Hence the base case holds.
2) Inductive step: suppose that Γ(n + 1) = n! for some natural number n. We will prove that Γ((n + 1)+1) = (n+1)!
Use integration by parts, with the following parts:
u=t^{n+1}, du=(n+1)t^n
dv=e^{-t}, v=-e^{-t}
and we used the induction hypotheses on this last line. Also, -t^n e^-t tends to zero as n tends to infiity (the exponential decays faster than any polynomial).
We have proved the statement for n+1, and by mathematical induction, the statement holds for all n.
Step-by-step explanation:
The value of b will be 43° as it is vertically opposite angle.. !!