We are supposing that the 3392.92 cubic inches of liquid will fit perfectly into the 30 glass spheres.
The volume of a sphere is:
(4/3) * pi * r^3
30 of these would be:
30 * [(4/3) * pi * r^3] = 3392.92
Divide by 30 and 4/3:
pi * r^3 = 84.823
Divide by pi and cube root each side:
r is about 3 inches, meaning the diameter is about 6 inches.
The answer is (C).
Answer: Y = 3 × 2^x
Step-by-step explanation:
Let assume that the equation of the exponential function represented by the table is
Y = 3(2)^x
When x = 0
Substitute x for 0. Then,
Y = 3 × 2^0
Anything raised to power of zero is equal to one.
Y = 3 × 1 = 3
When x = 1
Repeat the process
Y = 3(2)^1
Y = 3 × 2 = 6
When x = 2
Y = 3(2)^2
Y = 3 × 4 = 12
And finally, when x = 3
Y = 3(2)^x
Substitute x for 3
Y = 3 × 2^3
Y = 3 × 8
Y = 24.
We can therefore conclude that the equation of the exponential function represented by the table above is
Y = 3 × 2^x
Answer:
28 degrees
Step-by-step explanation:
X = 1 + y......so sub 1 + y in for x in the other equation
3x - 6y = -12
3(1 + y) - 6y = -12
3 + 3y - 6y = -12
3y - 6y = -12 - 3
-3y = -15
y = -15/-3
y = 5
x = 1 + y
x = 1 + 5
x = 6
solution is (6,5)