Answer:
a. 
Step-by-step explanation:
Expand:
0.000000783 in scientific notation is 7.83 x 10^-7
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
1. 15
2. -2
Step-by-step explanation:
First, since -4 is in parentheses, we want to take it out of parentheses. This might make sense but now it becomes 12 + 7 - 4. If it doesn't make sense, I'm sorry because I don't know how to explain it. Now we add 12 to 7 and we come out with 19. Then we subtract 4 and get 15. We want to do the same for number 2. We take -6.25 out of the parentheses and we have -1.75 - 6.25 + 6. When you subtract a negative something from a negative, we get more negative. So now we have -8 + 6. Which then equals -2. I hope this helps!
