Step-by-step explanation:
let the big cube side be b
small cube side be s
s = 2/3 * b
bv + sv = 118.125
b^3 + 8/9 b^3= 118.125
17 b^3/8 = 118.125
b^3 = 55.58
b = 3.816in
s = 2.544in
Answer: 152 units square 2
Step-by-step explanation:
Answer:
Let's call the first studio, yoga studio A.
Let's call the second studio, yoga studio B.
The equations:
Yoga Studio A: y=10x+55
Yoga Studio B: y=12.5x+25
So, for 12 classes:
Yoga Studio A: y=10(12)+55, y=175
Yoga Studio B: y=12.5(12)+25, y=175
These two numbers are equal, so Griffin is right.
For 10 classes:
Yoga Studio A: y=10(10)+55, y=155
Yoga Studio B: y=12.5(10)+25, y=150.
These two numbers are not equal, so Gigi is wrong.
Let me know if this helps!
Answer:

2.835
3.330
Step-by-step explanation:

Let the linear approximation be L(x) at a = 0. This is given by

is the derivative of
. To find this, we use the form
If
, then 
By doing this and applying chain rule for the power (which is a function of x), we have

Then

Also 
Hence 
For
,
and 
Using this in
,

For
,
and 
Using this in
,
