Answer:
H. 3 units
Step-by-step explanation:
In order to answer this question, we have to apply the formula for the sphere volume. The formula is:
Plugging the given number into V, we calculate that:
If π=3.14, the radius is:
r ≈ 3 units.
D: the graph crosses the y-a is at (-6,0), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10.
1 answer:
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The transformed function is y = 1/3(log(x/3 + 4)) + 1
<h3>How to transform the logarithmic function?</h3>The parent logarithmic function is
y = log(x)
When shifted left by 4 units, we have:
y = log(x + 4)
When shifted up by 3 units, we have:
y = log(x + 4) + 3
When compressed vertically by 1/3, we have:
y = 1/3(log(x + 4) + 3)
This gives
y = 1/3(log(x + 4)) + 1
When stretched horizontally by 3, we have:
y = 1/3(log(x/3 + 4)) + 1
Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1
<h3>The transformation of function f(x)</h3>We have:
f(x) = log[-(x – 5)] + 4
Set the radicand greater than 0
-(x - 5) > 0
Divide by -1
x - 5 < 0
Add 5 to both sides
x < 5 -- this represents the domain
A logarithmic function can output any real number.
So, the range is
In the domain, we have:
x < 5
This means that the interval of decrease is
Rewrite as an equation
x = 5 --- this represents the equation of asymptote
Read more about logarithmic functions at:
#SPJ1
Principal, P = $500
r =8% = 0.08, the interest rate
n = 1, the compounding interval
t = 6 years
The value after 6 years is
That is,
A = $500*(1 + 0.08)⁶ = $793.44
Answer: $793.44
r =8% = 0.08, the interest rate
n = 1, the compounding interval
t = 6 years
The value after 6 years is
That is,
A = $500*(1 + 0.08)⁶ = $793.44
Answer: $793.44