The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
<h3>How to determine the number of years?</h3>
The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
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Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.
<h3>
</h3><h3>
What are critical Values?</h3>
Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.
The value of α can be written as,
α = 1 - 0.81 = 0.19
Now, using the z-table the value of z will be,
z = 1.31
Hence, the required critical value is 1.31.
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The answer is (A. x =-1, y=4, z=8)
Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314