Answer:
p = - 14
Step-by-step explanation:
Using the rules of exponents
÷
= 
= 
Note 81 = 9² and 729 = 9³
Given
÷ 
=
÷ 
=
÷ 
= 
= 
= 
Thus
= 
Since bases on both sides are equal then equate the exponents
4p = 3p - 14 ( subtract 3p from both sides )
p = - 14
Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.
Step-by-step explanation:
Given: Weight of Blue whale = 
Weight of Narwhal = 
Number of times blue whale's weight is heavier than the narwhal's weight = 
![=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3%5Ctimes10%5E5%7D%7B2%5Ctimes10%5E3%7D%5C%5C%5C%5C%3D1.5%5Ctimes10%5E%7B5-3%7D%5C%20%5C%20%5C%20%5B%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D%5C%5C%5C%5C%3D1.5%5Ctimes10%5E2%5C%5C%5C%5C%3D1.5%5Ctimes100%3D150)
Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.
Answer:
≈ 2,826 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14 · 10^2 · 9
V = 3.14 · 100 · 9
V = 314 · 9
V = 2,826
The answer is B.
Explanation:
If c is a positive real number, then the graph of
f(x – c) is the graph of y = f(x) shifted to the right
c units.
Horizontal Shifts
If c is a positive real
number, then the
graph of f(x + c) is
the graph of y = f(x)
shifted to the left
It would be:
Tens | Ones
3 + 4
2 + 14
1 + 24
0 + 34
Hope this helped! c: