Answer:
Concept: Mathematical Analysis
- 2 friends share 56
- 5- 10 dollar bills and 6- one dollar
- We split the bills in half to equate equal change.
- Hence 5 bills ÷2= 2.5 or 25 dollars
- 6 bills÷2= 3 or 3 dollars
- You need to make change for the 10 dollars, break a bill into 5's
Answer:
18.03 cubic feet
Step-by-step explanation:
Hello,
Step 1
find the volume of the sphere when radius= 5 ft
Step 2
find the volume of the sphere when radius= 5.1 ft
Step 3
Compare the Volumes to find the change
the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)
Now, find the change
change=18.03 cubic feet
Have a great day.
Answer:
The student will be able to fill 5 1/2 cups of lemonade.
Step-by-step explanation:
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Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
