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:
x = 6 ft
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 = 
= 
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x =
x = 6 ft
Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:

Where:
is the size at time t.
is the initial size
is the growth rate
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:

We use this calculated rate to determine the population at t=6

Hence, the bacteria's size at t=6 is 270 grams
The height of the ball when it is 5 meters away from Jake to the nearest whole number is 160 meters:
h=-.625*5(5-56)=159.375 meters exact.