Given:
For cylinder P: radius = 4.25 in. and height = 14 in.
For cylinder Q: radius = 7 in. and height = 8.5 in.
To find:
The volume of each cylinder.
Solution:
Volume of a cylinder is
where, r is radius and h is height. Use 3.14 for 
.
Using the above formula, the volume of cylinder P is
Using the above formula, the volume of cylinder Q is
Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.
In this case, h(x) = sqrt(x) + 3
A. f(x)=x+3; g(x)=√x
B. f(x)=x; g(x)=x+3
C. f(x)=√x; g(x)=x+3
D. f(x)=3x; g(x)=√x
Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)
h(x) = g(f(x))
Looking at the options, the answer is C.
g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)
Answer:
3118.7ft
Step-by-step explanation:
Given data
Circumference= 9,799 ft
We want to find the diameter, but we need to get the radius
C= 2πr
9,799=2*22/7*r
9,799=2*3.142*r
9,799=6.284r
r=9,799/6.284
r= 1559.35
Hence the diameter is =1559.35*2
Diameter=3118.7ft
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.
The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).
We are given:
R = 0.75
So,
R² = 0.75²
R² = 0.5625
R² = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
