Step-by-step explanation:
Answer:
The sample would double in 9 hours
Step-by-step explanation
The number of hours it will take for the sample to double can be found using the 72 rule.
The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:
number of hours =72/8=9 hours
The number of hours it would take the sample to double is 9 hours as computed above.
Answer:
<em>after 4seconds</em>
Step-by-step explanation:
Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.
Substitute h(t) = 0 into the expression and calculate t;
h ( t ) = − 8 t^2 + 32 t
0 = − 8 t^2 + 32 t
8t² = 32t
8t = 32
Divide both sides by 8
8t/8 = 32/8
<em>t = 4s</em>
<em>Hence the football hits the ground after 4seconds</em>
<u>Given</u>:
Given that the diameter of the hemisphere is 48 inches.
We need to determine the volume of the hemisphere.
<u>Radius:</u>
The radius of the hemisphere can be determined using the formula,
Substituting d = 48, we get;
Thus, the radius of the hemisphere is 24 inches.
<u>Volume of the hemisphere:</u>
The volume of the hemisphere can be determined using the formula,
Substituting r = 24, we get;
Thus, the volume of the hemisphere is 9216π cubic inches.
Answer:
-5 and -10
Step-by-step explanation: