Answer:
An exponential function can describe growth or decay
It gets rapidly smaller as x increases, as illustrated by its graph. In the exponential growth of f(x), the function doubles every time you add one to its input x.
Step-by-step explanation:
Answer:
The given expression
on multiplying is 
Step-by-step explanation:
Consider the given two expressions
and 
We have multiply both expressions,

To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,

Then power of x together will be,

Similarly for y powers,

Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
is 
Answer:
x=0
Step-by-step explanation:
4/8=1/2, so:
x+1/2=1/2
x=0
Part A.
Ashwin had a 4-cm cube.
volume of cube = side^3
volume = (4 cm)^3 = 64 cm^3
Ashwin has 64 small cubes.
We need to find the volumes of all prisms in Part A. Only prisms with at most 64 cm^3 volume can be the answer.
A. v = 2 * 4 * 7 = 28
B. v = 4 * 5 * 6 = 120
C. v = 5 * 5 * 4 = 100
D. v = 4 * 7 * 5 = 140
E. v = 3 * 5 * 4 = 60
Part A. answer: A, E
Part B.
Dora had a 5-cm cube.
volume of cube = side^3
volume = (5 cm)^3 = 125 cm^3
Dora has 125 small cubes.
We need to find the volumes of all prisms in Part B. Only prisms with at most 125 cm^3 volume can be the answer.
A. v = 3 * 3 * 8 = 72
B. v = 3 * 4 * 5 = 60
C. v = 6 * 6 * 4 = 144
D. v = 5 * 8 * 4 = 160
E. v = 3 * 5 * 4 = 60
Part B. answer: A, B, E
Answer:
and

Step-by-step explanation:
Dawn wants to compare the volume of a basketball with the volume of a tennis ball.
Now, if the radius of the basketball is R and that of the tennis ball is r, then the formula that can be used to determine the volume of each ball will be
and

Now, dividing V by v we can compare the volume of the basketball and the tennis ball. (Answer)