Answer:
the sun may rise or will not rise , so there are 2 chances
Step-by-step explanation:
so the probability is 1/2=0.5
Answer:
EndRoot Over 2 EndFraction
StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction
I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
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So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
The area of a cross section paralell to the base is the base
the base is 4inches by 3 inches
area is 12 square inches
perimiter is 2(L+W)=2(4+3)=2(7)=14 inches
area is 12 square inches
perimiter is 14 inches
Answer:
Gross pay for the week = $603.85
Step-by-step explanation:
Monday pay = (5.4 x 8) + (2.7 x 1) = $45.9
Tuesday pay = 5.4 x 8 = $43.2
Wednesday pay = (5.4 x 8) + (2.7 x 3) = $51.3
Thursday pay = (5.4 x 8) + (2.7 x 1) = $45.9
Friday pay = (5.4 x 8) + (2.7 x 2) = $48.6
Saturday pay = 5.4 x 8 = $43.2
Commission on first $3000 = 0.04 x 3000 = $120
Commission on sales above $3000 = 0.05 x 4115 = $205.75
Gross pay for the week = 45.9+43.2+51.3+45.9+48.6+43.2+120+205.75 = $603.85