$(\sqrt2)(\sqrt{2^3})\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{2\cdot2^3}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{2^{1+3}}=\sqrt{2^4}\\\\(1)=\sqrt{2^{2\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(2^2)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2^2=4\\\\(2)=\sqrt{2\cdot2\cdot2\cdot2}=\sqrt{16}=6\ \text{because}\ 4^2=16$

8 0

2 years ago

A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10

stiv31 [10]

A = P(1-r)^t

A = 3900(1-0.08)^10

A = 3900(0.92)^10 

A = 3900(0.434388454)

A = 1694.11

1694 square km

3 0

2 years ago

Ramon bikes every afternoon. He travels 4 1/4 miles in 1/4 hour. At what rate dies Ramon ride his bike in miles per hour

Colt1911 [192]

1/4 hour = 4 1/4 miles

Change to improper fraction:
1/4 hour = 17/4 miles

Multiply by 4 on both sides:
1 hour = 17 miles

Answer: Ramon rides his bike at 17 miles/hour.

8 0

3 years ago

Please help me I need it please please please please please help

enyata [817]

Answer:

action/adventure:sci-fi

48:19

Step-by-step explanation:

96:38 is the ratio

simplify it, both are divisible by 2(highest common factor is 2)

so the answer is 48:19

that answer cannot be divisible any further

4 0

2 years ago