Answer: 90 mm cubed
Step-by-step explanation:
Formula = (L*W*H) / 2
5 * 12 * 3 = 60 * 3 = 180
180 / 2 = 90
Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
This is the concept of inequality;
We are told that the distance a car travels depends on how full gas tank is, this means that the car will travel until the point when gasoline is finished. Thus,
This mean that if the if the distance is given by the function f(x), x will be the gasoline since it is the dependent variable, liters this in other words can be written as (if the tank holds 89 ):
f(x)=distance(gasoline)<89
thus the correct answer will be:
B] Distance (amount of gasoline) < 89
Answer:
Step-by-step explanation:
The number of red marbles in the bag is; 
.
The number of blue marbles in the bag is; 
.
The number of white marbles in the bag is; 
.
The total number of marbles in the bag is: 
.
The probability of selecting a blue marble is 
We substitute the given information to obtain:
We simplify to obtain:
I=Ishaan
C=Christopher
I/3=C
I-14=C
Substitute
I/3=I-14
I=3I-42
-2I=-42
Ishann = 21
