Answer:
Option B - 
Step-by-step explanation:
Given : Expression 
To find : Expand each expression ?
Solution :
Using logarithmic properties,

and 
Here, A=4y^5 and B=x^2



Using logarithmic property, 

Therefore, option B is correct.
Answer:
Step-by-step explanation:
l = 7 in
w = 11 in
h = 5 in
Surface area = 2*(lw +wh +hl)
= 2*(7*11 + 11*5 + 5*7)
= 2* (77+ 55 + 35)
= 2 * 167
= 334 square inches
Answer:
1 gallon every 16 minutes
Step-by-step explanation:
If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.
Answer:
Step-by-step explanation:
1. area of square=10²=100 cm²
area of circle=πr²=π×2.5²=6.25π cm²
reqd. area=100-6.25π ≈80.375 cm²
2.
area of circle=π×2.5²=6.25π≈6.25×3.14≈19.625 cm²
area of rectangle=4×3=12 cm²
reqd. area=19.625-12≈7.625 cm²
3.
area of two circles=2×π×3²=18π≈18×3.14≈56.52 cm²
area of square=12²=144 cm²
reqd. area=144-56.52≈87.48 cm²
4.
area of smaller circle=π×4²=16π cm²
area of bigger circle=π×8²=64π cm²
area of two circles=16π+64π=80π cm²
diameter of bigger circle=4+4+8+8=24 cm
diameter of biggest circle=π×12²=144π
area of shaded region=144π-80π=64π≈200.96 cm²
1. 100 2. 1000 3. 100000 4. 10000000 here is the first part