Find the volume of the cylinder using the formula v = pixr^2 x height
V= 3.14 x 6^2 x 14 = 1,582.56 cubic cm
Area of of the rectangle = 16 x 11 = 176 square cm
The height will be the volume divided by the area
Height =1582.56/176 = 8.99 cm
The height is 8.99 cm ( round off as needed)
What is the LCM of 64 and 72?
Find the prime factorization of 64.
Find the prime factorization of 72. 72 = 2 × 2 × 2 × 3 × 3.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3.
LCM = 576.
What is the GCF of 64 and 72?
Find the prime factorization of 64. 64 = 2 × 2 × 2 × 2 × 2 × 2.
Find the prime factorization of 72. 72 = 2 × 2 × 2 × 3 × 3.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 2.
GCF = 8.
So subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1
multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))
the answer is D g(f(x)) produces the greatest output
Answer:
)x + 5)(x - 5)
Step-by-step explanation:
x² - 25 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
x² - 25 = x² - 5² = (x + 5)(x - 5)
Answer:
1/12πx3
Step-by-step explanation:
D on Edge