Answer:
<h2>height = 110 feet </h2>
Step-by-step explanation:
From the question
Volume of the cylinder is given by
<h3>
</h3>
To find the height first make h the subject
That's divide both sides by πr²
We have
<h3>
</h3>
From the question
v = 35 ft³
r = 7 / 22
π = 22/7
Substitute the values into the above formula and solve for the height
That's
<h3>
</h3>
We have the final answer as
<h3>110 feet</h3>
Hope this helps you
The degree of polynomial will be 9.
The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
e) The correlation coefficient, r, is 0.397.
Step-by-step explanation:
Given that:
Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158
Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.
Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397
Answer:
2 2/3
Step-by-step explanation:
